Associate Professor Dr. Azad Husssain
Designation : Associate Professor
(Tenured )
Specialization : Mathematics
Specialization : Mathematics
Email :
A dedicated and hardworking researcher with a strong enthusiasm for research. With 11 years of experience in teaching and research, I have a passion for helping others learn and grow in the field of mathematics, constantly striving to stay updated with the latest advancements while fostering a positive and motivated learning environment.
- Ph.D.,Quaid-e-Azam University Islamabad
- M. Phil.,Quaid-e-Azam University Islamabad
- M. Sc.,University of Punjab
- B. Sc.,University of Punjab
- F. Sc.,Rawalpindi Board of Intermedia
| Student Name | Degree | Title | Status / Completed Year |
|---|---|---|---|
| AMNA KHALID | BS | Study of radiation effects on fluid flow The main purpose of this thesis is to study the radiation effects on a steady stateflow of an incompressible viscoelastic fluid model through a permeable plate. Viscosity isconsidered as a function of temperature. In order to study variable viscosity effects, law ofconservation of mass, momentum and energy equations are expanded. Numerical solutionof arising governing equations are obtained by using Maple software. The flow features andheat transfer characteristics for different values of the governing parameters e.g., viscoelasticparameter, radiation parameter and Prandtl number are analyzed and discussed in detail.It is observed that the thermal radiation enhances the temperature for viscoelastic fluidmodel. | 2018 |
| KASHF ZARA | BS | Magnetohydrodynamic stagnation point flow of casson fluid and willliamson fluid with slip effects The primary intension of this thesis is to study of flow of a real and incompressible fluid pastan extending or shrinking membrane. The considered fluid exhibits a steady, two-dimensionalstagnation point flow under specific conditions and implication of some magnetic field.Calculations are, hence, carried out in order to obtain partial differential equations which aresubjected to some similarity transformation to convert them into ordinary differential equations.These differential equations are then tackled by using suitable numerical methods. This workalso involves the study of skin friction, slip effects at the boundary and the rate of heat transferat the fluid’s surface. Also, the differences between the solutions when shrinking sheet is usedare compared with the solutions where stretching sheet is being used. | 2018 |
| NAILA FAROOQ | Ph.D | MATHEMATICAL STUDY OF FLUIDS FLOW IN A CHANNEL This thesis scrutinizes the peristaltic phenomena with the transportation of steady two dimensional, incompressible fluid flow with collaboration of activation energy, solar mimetic pump, variable viscosity, conductivity and diffusivity. The novelty of the present thesis is the inclusion of vertical peristalsis system like esophagus with the blood flow. The consequences of magnetohydrodynamic fluid are keenly observed with addition of nanoparticles. The swimming of motile microorganisms under their density gradient property is discussed. The Buongiorno’s model is the salient model for our research to allegorize the characteristics of Brownian diffusion parameter and thermophoresis variable on fluid dynamics. The Rossland’s approximation for the solar radiation (radiative heat flux) and “Arrhenius law” for the activation energy of chemical reaction are incorporated. The equations are designed for such sinusoidal geometry and then a bvp4c operation is employed to construct the graphical results of modeled ordinary differential equations. The main findings are implies that the thermal heating process decreases by elevating the prandtl number, Brownian variable and conductivity parameter. Similarly the velocity of blood stream is slow down by raising the viscosity and Hartmann number. But the large motion of fluid analyzed by upgrading the Grashof number and buoyancy force. However, the maximum geometry reveals the deep concentration level for higher value of activation energy and chemical reaction parameter. Also, the microbe’s density is configured for distinct factors to judge the microorganism’s reaction in blood stream. Our numerical approach also displays the consequences of emerging parameters on local Nusselt number, skin friction, and Sherwood number. The streamlines for exceptional values of the Weissenberg number and volumetric flow rates are derived and additionally look at the isothermal contour. | 2024 |
| MUHAMMAD NAVEEL RIAZ DAR | Ph.D | STUDY OF FLUID FLOW STRUCTURE IN HUMAN BODY The flow of blood in arteries of the human body is deemed as a main problem of fluid dynamics. The blood flow simulation in the cardiovascular network gives strong understanding of the structure of the human body. The main problems in the cardiovascular system are stenosis and aneurysms. The contraction of the path of blood due to blood clotting inside the artery is called stenosis. The wall of artery contract in this case. The bulge or abnormal swelling of wall of the blood artery is called aneurysm. The mathematical study of blood flow via stenotic arteries and aneurysmal arteries, where blood is regarded as a Newtonian fluid at elevated shear rates and a non-Newtonian fluid at lower shear rates, is the subject of the research reported in this thesis. We introduced the nanoparticles via damaged artery while blood is considered as Newtonian. The leading objective of this effort is to scrutinize the effect of nanoparticles in various diagnostic procedures and the efficient treatment of cardiovascular disorders. According to the presumptive study, the use of nanoparticle therapy offers hope for treating artery disorders. The problem compact form governing equations are simplified into Partial differential equations (PDE’s). These simplified equations are then converted into Ordinary differential equations (ODE’s) with the help of similarity transformations. The nature of blood is taken as both Newtonian and non-Newtonian. The Computational finite element method (FEM) is used in PARDISO solver to obtain the numerical results. The investigation is performed for the solution of Temperature, velocity and pressure profiles. The other flow parameters like Nusselt number and skin friction are also studied. The results are displayed in the form of tables and graphs. The effects of nanoparticles are also presented in the form of graphs. The analysis of heat transfer is examined. It is observed that the nanoparticles increase the rate of transfer of heat due to possessing higher density, thermal conductivity, heat capacity and dynamic viscosity. | 2024 |
| AYESHA ARSHAD | MS | INVESTIGATION OF HEAT TRANSFER IN NON-NEWTONIAN NANOFLUID FLOW IN THE SLENDER CYLINDER The current thesis scrutinized pseudoplastic nanofluid flow through the slender cylinder in the existence of chemical change and +slip boundary effect in the boundary layer. The pseudoplastic flow is used to look over the heat transfer rate, effects of drag force, and nanoparticle concentration. This is the preliminary pseudoplastic nanofluid flow model that has been applied to a vertical thin cylinder that has not been studied before. The governing equations of the pseudoplastic nanofluid in cylindrical dimensions are used for modeling. The nonlinear equations system is built using similarity transformations and boundary layer assumptions. The bvp4c in Mat-Lab was utilized to conduct the investigation. A numerical technique was also used to show how the obtained system may be solved. The table serves as an illustration for the lengthy explanation of heat transfer and drag force in relation to chemical processes. In the velocity study, temperature study, and nanoparticle concentration research, non-dimensional effects factors have also been graphically represented. | 2024 |
| ALI MUJTABA | MS | EFFECTS OF VARIABLEE VISCOSITY ON THE FLOW OF FLUID OVER A STRETCHING SURFACE The main purpose of this thesis is to study a steady, incompressible and 3-D rotating flow of nanofluid under the influence of temperature dependent viscosity over a stretching sheet. Equations that govern for momentum, energy, and continuity are summed. Using the appropriate similarity transformations, the resulting system of PDEs and the related boundary conditions are broken down into a collection of ODEs. These differential systems are then numerically solved. By utilizing the built-in solver bvp4c in MATLAB, computational outcomes are achieved. The numerical outputs of various velocity and temperature obstacles are tabulated. Graphs are plotted to demonstrate the effect of various restrictions on fluid flow. | 2023 |
| AYESHA SADDIQA | MS | PERISTALTIC FLOW OF NANOFLUID MODELS WITH SOLAR RADIATIVE EFFECTS AND ACTIVATION ENERGY The concerning thesis scrutinized the incompressible Casson fluid flow through the peristaltic path under the influence of MHD and without MHD, also double-diffusive convection with the association of variable conductivity, viscosity and radiative flux. Buongiorno’s model is applied to keenly observe the features of nanoparticles. To allegorize the consequences of a chemical reaction the “Arrhenius law” is manipulated. The differential equation of momentum, heat, chemical reaction and double diffusivity are solved numerically by manipulating the convenient transformation. We employ the bvp4c technique in MATLAB to draw the graphs for generalized equations and the effects of relevant parameters on the flow characteristics are examined. Our research work exhibits the impact of Solutal, thermal and nanoparticle Grashof numbers on the velocity profile. The maximal region of the peristaltic flow’s diffusive convection grows as the Lewis number rises. The Lewis number Le and activation energy manifest the opposite behavior for the rate of the chemical reaction. The temperature gradient declines in the pumping segment while rising during the pumping less region by varying the Brownian and thermophoresis diffusion parameters. Moreover, the effect of a magnetic field is elaborated with the aid of describing the graph that the velocity of fluid declines in the presence of a magnetic field. | 2023 |
| SAIRA RIAZ | MS | ANALYSIS OF INCLINED MAGNETIC FIELD ON RADIATIVE HEAT IN HYBRID NANOFLUID FLOW: DYNAMICS OF BIO-CONVECTION AND MOTILE MICROORGANISM The main purpose of this thesis is to study of a steady, incompressible and 2-D flowof hybrid prandtl nanofluid with the influence of magnetic inclined field and bio-convection on stretching sheet. Equations that govern for momentum,microorganisms, energy, concentration and continuity are summed. Using the suitablemodifications to similarity, the resulting set of PDEs and the very suitable boundaryconditions are broken down into a collection of ODEs. These differential systems arethen numerically solved. By utilizing the built-in solver bvp4c in MATLAB,computational outcomes are achieved. The numerical outputs of various velocity andtemperature obstacles are tabulated. Graphs are plotted to elaborate demonstrate theeffect of various type of restrictions on prandtl fluid flow. | 2023 |
| LUBNA SARWAR | Ph.D | MATHEMATICAL ANALYSIS FOR FLOWS OF BIOLOGICAL FLUIDS In arterial system the most common disease is contraction and hardening of the wallsof blood vessels, it is called as arterial stenosis. The research presented in this thesis isconcerned with the mathematical analysis of blood flow through stenotic artery whereblood is treated as Newtonian fluid at high shear rate and non-Newtonian fluid at lowshear rate. We studied the addition of nanoparticles through diseased artery where theunder-consideration blood flow is treated as Newtonian fluid. Nanoparticles helps indifferent diagnostic applications and effective treatment of cardiovascular diseases. Theassumed analysis describes that nanoparticles technique could be a promisingtherapeutic approach against arterial diseases. The problem governing equations aremodeled into partial differential equations (PDE), which are transformed into set ofordinary differential equations (ODE) with the help of useful similarity transformationwhere both Newtonian and non-Newtonian nature of blood is considered. Acomputational technique based on Backward differentiation formula (BDF) and Matlabbvp4c have been used to solve the models. We investigated the solution for Prandtlnumber, flow parameter and nanoparticles volume fraction on temperature and velocitydistribution. The results are presented in the form of tables and graphs. Additionally,the skin friction and heat transfer analysis for the blood flow dynamics is alsoinvestigated. It can be concluded that the addition of nanoparticles enhance the heattransfer rate because these have high thermal conductivity, density, dynamic viscosityand specific heat. It is also observed that the velocity decreases after and before thestenotic region. Current analysis provides further motivation to study more results inthe present model to understand the blood rheology. | 2022 |
| SOBIA AKBAR | Ph.D | MATHEMATICAL ANALYSIS OF THE FLOW BEHAVIOR OF NON-NEWTONIAN FLUIDS A mathematical study has been carried out on the flow behavior of non-Newtonianfluids. The purpose of our research is to discuss the non-Newtonian fluids flows indifferent aspects. In case of porous plate, the flow of Walter’s B and Casson non-Newtonian fluid is assumed to be incompressible steady state under the combinedeffects of radiation, heat generation and magneto-hydrodynamics. In case of parallelplates, the incompressible non-Newtonian Eyring-Powell, Casson and second gradefluid has been taken into account with boundary layer squeezing flow. In case of Rigaplate, the probation is made to study the incompressible stagnation point flow of non-Newtonian Casson fluid. Electric potential and magnetic flux density with timedependent flow are examined. All of the above mentioned physical problems areconverted into mathematical models using the governing equations of the fluid flow.The governing equations have been transformed into non-linear ordinary differentialequations by using suitable transformation. To approach the solution, we havenumerically solved the problem by using bvp4c method. Effects of physical parametersare revealed in tables and graphs for all the problems under consideration. Also, theflow performance is shown by streamlines and three-dimensional graphs. Tounderstand the characterization of the study results are described. | 2022 |
| MUHAMMAD ARSLAN | MS | COMPUTATIONAL STUDY OF UNSTEADY FLUID FLOW In this study, we discuss the “COMPUTATIONAL STUDY OF UNSTEADY FLUID FLOW” over different cases. In different cases results of velocity distribution, pressure distribution, surface temperature, and contour temperature are discussed. Lift coefficient and Drag coefficients are also explained. Distinct base fluids and nano-particles have been utilized to achieve different hybrid nanofluids for analysis. The above-mentioned physical problems are converted into mathematical models, the flow presenting highly non-linear differential equations are achieved through boundary layer approximation. The sets of partial differential equations are then subjected to appropriate similarities to obtain the non-dimensional form for all designed models. The influence of different study parameters on arising outcomes for each case has been discussed graphically and in tabulated data set. Tangential velocity, Radical velocity, and velocity along the z-axis are also discussed in each case. In the first case velocity decreases, while pressure, surface temperature, and contour temperature increase. In the second case, in the interval of 5s pressure, surface temperature, contour temperature inclines, whereas velocity declines. In the third case, velocity, surface temperature, contour temperature goes on increasing with time, while pressure moves towards decreasing value. Lift coefficient increases in each case. | 2022 |
| AYSHA REHMAN | Ph.D | MIXED CONVECTION FLOW OF NON-NEWTONIAN NANOFLUID TOWARDS A STRETCHING SHRINKING SURFACE Nanofluids are used as coolants in heat transport devices like heat exchangers, radiators, andelectronic cooling systems (like a flat plate) because of their improved thermal properties. Thepreeminent perspective of this study is to highlight the influence of mixed convection on heattransfer and non-Newtonian nanofluid flow towards an extendable surface. The Buongiornomodel is incorporated in the present study to tackle a diverse range of Reynolds numbers andto analyze the behavior of the non-Newtonian nanofluid flow. Nanofluid features arescrutinized through Brownian motion and thermophoresis diffusion. Through the use of theboundary layer idea, the compact form of flow equations is transformed into component forms.The system of the equation is solved numerically by applying the MATLAB bvp4c algorithm.Characteristics of sundry physical parameters on the velocity, thermal energy, and mass transferare computed numerically and graphically. There are also flow line diagrams to analyze thebehavior. The non-Newtonian nanofluids are applicable in all electronic devices for increasingthe heating or cooling rate in them. Further, non-Newtonian nanofluids are also applicable inreducing skin friction coefficient. | 2022 |
| MUBASHAR ARSHAD | MS | THREE DIMENSIONAL TWO PHASE NANOFLUID FLOW ANALYSIS The fundamental purpose of this thesis is to study the rotating three dimensional nanofluid flowover a stretchable surface. Steady and incompressible fluid flow is assumed for this study. Thegoverning equations of continuity, momentum and energy are assimilated. Calculations areconsequently, implemented in sequence to achieve partial differential systems which are exposedto some similarity transformation to reduce them into ordinary differential systems. Thesedifferential systems are then tackled numerically. The numerical outcomes of different constraintson velocity and temperature are tabulated. These numerical outcomes are obtained with theMATLAB integrated solver bvp-4c. Graphs are plotted to show the impact of distinctive constraintson fluid flow. | 2022 |
| AFIFA KAUSAR | MS | Study Of Nanofluid Flow Over A Stretching Surface The main object of this research is to study the flow behavior of nanofluid flow over a stretchingsurface. The considered problem reveals steady state flow in three dimensions. The governingequations of energy, continuity and momentum are formulated. By using similaritytransformation, the governing partial differential equations are converted into ordinary differentialequations. Using the BVP4C technique, the numerical solution of problem is obtained. Thefindings for the flow and heat transfer characteristics are provided via graphs. Concentrations ofphysical impact like skin friction coefficient and heat flux rate are estimated, examined at thestretching surface and explained graphically. Graphs and tabulation are established to illustratethe influence of distinctive parameters on velocity and temperature profiles | 2021 |
| QUSAIN HAIDER | MS | ABSTRACTION OF HEAT TRANSFER RATE IN ROTATING CONE FLOW In the present study we explore the time-dependent convectional flow of a rheological nanofluid over a rotating cone with the combined impacts of heat and mass exchange. By applying appropriate approximation to the boundary layer, the managed conditions of movement, temperature and as well as nanoparticles are improved and afterward the framework is changed over to a non-dimensional one applying proper comparison changes. Numerical solution of obtained system of governing equation is achieved. Observation are also taken into account for Skin friction, Nusselt and Sherwood number. The effect of different parameters on the velocity, temperature and concentration profiles are discussed. Tangential velocity is observed to decrease with an increase in Deborah number, whereas it increases for increasing values of angular velocity ratio, relaxation to the retardation time ratio and buoyancy parameter. Expansion in the Prandtl number is noted to decrease the boundary layer temperature and thickness. The temperature is seen to decrease with an expansion in the retardation parameter, thermophoresis parameter and parameter of Brownian movement. It is discovered that the Nusselt number expands by expanding retardation parameter and Prandtl number. Whereas it increases by decreasing the Deborah number. We also noticed that the Sherwood number is a decreasing function of Deborah number and Prandtl number but an increasing function of buoyancy parameter. | 2021 |
| NAQASH AHMED | MS | RUMINATION OF THERMAL CONDUCTIVITY ENHANCEMENT IN SLENDER CYLINDER FLOW In the present study we investigate the enhancement of ability of the fluid of conducting heatwhen the fluid properties are changed with the help of addition of some suitable materials.With the addition of certain appropriate materials, the fluid characteristics are improved. Theflow of different kind of fluids with variable viscosity over a vertical slender cylinder isconsidered. Consideration is also provided to the analysis of heat transfer and the boundarylayer flow. Because of the combination of nano-particles in the base fluid the heat transfer rateis significantly increased. Fluids governing equations are designed. The continuity, momentum,energy and concentration model equations are transformed by using effective transformations.In order to find the solution structure of the defined differential system numerical simulation iscarried out. The consequences of some parameters like Curvature parameter, Thermophoresisparameters, Brownian motion parameter, Buoyancy ratio, Prandtl and Lewis numbers on theflow structure are studied graphically. Coefficient of Skin friction and local Nusselt number aredisplayed in tabular form. | 2021 |
| RIZWANA | Ph.D | OBLIQUE STAGNATION POINT FLOW OF NANOFLUIDS TOWARDS AN OSCILLATORY SURFACE This study is motivated to understand the time-dependent stagnation point flow of nanofluids.Basically, stagnation flow arises at that point where the fluid acts on a solid object. Close tothe stagnation point, the flow displays the greatest pressure (static pressure) and massdeposition. As for as Bernoulli’s equation is concerned, fluid experiences maximum pressurewhen its velocity comes to zero. It is since the kinetic energy of the fluid is changed intopressure recognized as stagnation pressure (static pressure). Stagnation point flows areimportant in the chilling of a nuclear cauldron, decrease rubbing, various engineering andhydrodynamic affairs. In this thesis, we study the oblique stagnation point flow of Newtonianand non-Newtonian nanofluids by considering water as a base fluid with differentnanoparticles in two dimensions. Also, we studied oblique stagnation point flow ofincompressible nanofluids and hybrid nanofluids by considering different geometries such astwo-dimensional horizontal plate and two-dimensional curved surface. All of the abovementioned physical problems are converted into mathematical models using the governingequations of the fluid flow. Similarity variables are utilized to convert the developed flow intoa higher non-linear coupled ordinary differential equation (ODE) which are tacklednumerically using a mathematical technique like the bvp4c method in Maple and Matlabsoftwares. Comparison is made with the previous results to checking the accuracy of thesolution methods. Effects of physical parameters are revealed in tables and graphs for all theproblems under consideration. Also, the flow performance is shown by streamlines. | 2021 |
| AISHAH ABDUSSATTAR) | MS | Study of Rotating Nanofluid Flow Over a Stretching Surface The fundamental aim of this thesis is to study the rotating nanofluid flow over a stretchablesurface. Here we consider three-dimensional, steady and incompressible flow. The governingequations of continuity, momentum and energy are assimilated. Calculations areconsequently, implemented in sequence to achieve partial differential systems which areexposed to some similarity transformation to reduce them into ordinary differential systems.These differential systems are then tackled numerically. The influence of Prandtl number,Nusselt number and skin friction coefficient are also presented. Numerical results areobtained with the MATLAB built-in solver bvp-4c. Graphs are plotted to study effects ofdistinctive parameters on fluid flow. | 2021 |
| NAQASH AHMED | MS | RUMINATION OF THERMAL CONDUCTIVITY ENHANCEMENT IN SLENDER CYLINDER FLOW In the present study we investigate the enhancement of ability of the fluid of conducting heat when the fluid properties are changed with the help of addition of some suitable materials. With the addition of certain appropriate materials, the fluid characteristics are improved. The flow of different kind of fluids with variable viscosity over a vertical slender cylinder is considered. Consideration is also provided to the analysis of heat transfer and the boundary layer flow. Because of the combination of nano-particles in the base fluid the heat transfer rate is significantly increased. Fluids governing equations are designed. The continuity, momentum, energy and concentration model equations are transformed by using effective transformations. In order to find the solution structure of the defined differential system numerical simulation is carried out. The consequences of some parameters like Curvature parameter, Thermophoresis parameters, Brownian motion parameter, Buoyancy ratio, Prandtl and Lewis numbers on the flow structure are studied graphically. Coefficient of Skin friction and local Nusselt number are displayed in tabular form. | 2021 |
| ZAINIA MUNEER | MS | Mathematical Exploration of Fluid Dynamic Model The main purpose of this thesis is to determine Darcy-Forchheimer squashed flow of ferrofluids across a sensor surface in existence of magnetic dipole effects. The flow is taking place in a locally free stream in the existence of thermal radiations. Sensor surface with variable thermal conductivity is the main medium for Darcy-Forchheimer squeezed flow. After incorporating these speculations, dimensional equations supervising the flow and heat transfer distinctions are transfigured into dimensionless system of differential equations by implementing similarity transformations. Solution for the designed equations are practiced by utilizing an effective numerical approach namely shooting approach. The consequences of different corporal parameters on dimensionless velocity, temperature and skin friction coefficient inside the boundary layer are discussed comprehensively and portrayed graphically. | 2019 |
| AYESHA RAFI | MS | Mathematical description of flow characteristics of fluid The main objective of this thesis is to study mathematically the flow and entropy generation of non-Newtonian fluid flows between two parallel plates. Flow is postulated to be steady, laminar and fully-developed. Due to the channel geometry, asymmetric convective cooling is imposed on channel walls. The set of nonlinear partial differential equations is derived for continuity, momentum, energy and entropy generation. The transformations are used to reduce the governing equations of temperature, velocity and entropy generation in the set of ordinary differential equations. For the sake of numerical solution shooting technique is utilized along with Runge Kutta method on resulting simplified equations. Graphs and tabulation is demonstrated to illustrate the influence of distinctive parameters on velocity and temperature profiles. | 2019 |
| SOBIA AKBAR | MS | COMPREHENSIVE STUDY OF FLUID FLOW THROUGH VARIOUS GEOMETRIES In the present thesis we have study the flow of an incompressible Walters-B fluid. Theventure is made to explore the effects of radiation and MHD on Walters-B nanofluid flow withvariable viscosity past a spongy plate. The squeezing flow of Walters-B elastico-viscous fluidbetween parallel plates is studied. Heat transfer phenomenon is also a momentous content toinvestigate the current study. Thermophorasis and Brownian motion are two glamorous fea-tures for the delineation of nanofluids. Glamorous viscosity models are endeavored to studythe influence of viscosity, where variable viscosity is considered as a function of temperature.In order to explore the viscosity effects, law of conservation of mass, momentum and energyare flourished. Modeled coupled partial differential equations are metamorphosed into resem-balance form of ordinary differential equations by using competent similarity transformations.The effects of the emerging parameters on temperature and velocity profiles are discussedwith the help of graphs. The tables for effects of distinct parameters on temperature, Skinfriction coefficient, Sherwood and Nusselt numbers at the wall are given. Impact of variousassociated physical parameters on the flow i.e, Skin friction coefficient, Sherwood and Nusseltnumbers are also presented with the help of grahps. | 2018 |
| Fouzia Javed | MS | ANALYSIS OF STEADY FLOW OF AN INCOMPRESSIBLE FLUID An investigation is accomplished to probe the dispersion of heat and nanofluid flow betweenhomocentric cylinders in this thesis. An effort is made to interrogate the consequences of heatgeneration effects on fluid flow. Elegant features for depiction of nanofluids likeThermophoresis, Brownian motion, Dufour solutal Lewis number and modified Dufourparameter are discussed. A probation is negotiated to deal the phenomenon of enlacement inthe thermal conductivity of non-Newtonian fluids. Momentum, energy, concentration andnanoparticle fraction expressions are originated to proliferate the mathematical clarification.An embellish form of ordinary differential equations is obtained from coupled partialdifferential equations by implementation of suitable resemblance transfigurations. To acquirethe numerical solution of constitutive expressions, shooting technique along with Runge-Kutta method is habituated. Physical behavior of velocity, temperature, concentration andnanoparticle fraction is interpreted with the assistance of graphs through different involvedparameters. | 2018 |
| LUBNA SARWAR | MS | MATHEMATICAL ANALYSIS FOR FLOWS OF BIOLOGICAL FLUIDS The main objective of this thesis is to analyse mathematically the áow of Casson nanoáuidalong with di§erent e§ects of practical interest such as MHD, radiation and heat generation.Study of nanoáuid model entails the combination of two attributes known as thermophoresisand Brownian motion. The mathematical formulation is based on continuity, energy, mo-mentum and concentration equations with appropriate boundary conditions. By means ofsuitable transÖgurations we convert the coupled governing equations into established formof ordinary di§erential equations. The impact of di§erent emerging parameters on velocityand temperature at wall are discussed in tabular form. For better description of áuid áownumerical calculations on Skin friction, heat transfer coe¢ cient and Sherwood number arepresented through graphs and tables. The analysis reveals that the temperature proÖle is anincreasing function of radiation parameter and decreasing function of prandtl number. | 2018 |
| MUHAMMAD NAVEEL RIAZ DAR | MS | FLOW OF A THIRD GRADE FLUID WITH VARIABLE VISCOUS PROPERTIES Analytic solution of a third grade fluid through the annulus of two coaxial cylinder isfound. The influence of thermal radiation and variable viscosity are investigated. Reynoldand Vogel models are incorporated to study the impact of variable viscosity. Heat transferis probed as monumental content in the present work. For this purpose, influence of heatgeneration on flow is discussed. Continuity, momentum and energy equations are developedunder the mathematical analysis performed in the sight of radiation and heat generationeffects. By using appropriate transformations these developed non-linear partial differentialequations are converted into ordinary differential equations. The convergence interval isanalyzed by plotting h-curves. The influence of viscosity, thermal radiation, heat generationand other pertaining parameters on velocity and temperature profiles are displayed by graphs. | 2017 |
| SAADIA GHAFOOR | MS | HEAT TRANSFER ANALYSIS OF AN EYRING POWELL MODEL FLUID PAST A POROUS PLATE The preeminent perspective of thesis is to intent steady state flow of a kinetic theory of liquids originated fluid model through a penetrable medium involving magnetic field. Heat transfer phenomenon is also an monumental content to probe in the current investigation. Portrait of nanofluid model entails the combination of two attributes known as thermophoresis and Brownian motion. An investigation is carried out to analyze thermal conductivity due to nanofluid model. The set of nonlinear partial differential equations is derived for continuity, momentum, energy and concentration phenomenons to thrive the ináuence of the thesis discussion. Competent similarity transformations are accustomed to transmute governing equations into similitude form of ordinary differential equations. To compute the numerical solution of governing equations shooting technique is utilized along with Runge Kutta method. Portray of graphs and tabulation is elucidated to explicate the impact of distinctive parameters on velocity, temperature and concentration profiles. | 2017 |
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1. Azad Hussain, Ali Mujtaba, M.Y. Malik, Ali Saeed Alqahtani, Muhammad Naveel Riaz Dar “Thermal transmission of water-based rotating nano fluid flow over an exponentially sprawling sheet with the clout of partial slip condition and variable viscosity” Results in Engineering, November 2025 DOI: https://doi.org/10.1016/j.rineng.2024.103429
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2. Azad Hussain , Muhammad Naveel Riaz Dar and Ahmed Arif “A computational investigation using the nonNewtonian Sisko model and finite element analysis to determine blood flow characteristics in trapezoidal stenosed arteries” International Journal Of Modern Physics B, January 2025 DOI:
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3. Saquib Ul Zaman, Azad Hussain, Kaleem Ashraf, Lubna Sarwar, Faizan Hussain, Ali Altalbe, Ahmet Bekir & Taseer Muhammad “Mathematical analysis of isothermal study of reverse roll coating using Micropolar fluid” Scientific Reports, August 2024 DOI: 10.1038/s41598-024-70808-6
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4. Saquib Ul Zaman, Azad Hussain, Kaleem Ashraf, Lubna Sarwar, Faizan Hussain, Ali Altalbe, Ahmet Bekir & Taseer Muhammad “Mathematical analysis of isothermal study of reverse roll coating using Micropolar fluid” Scientific Reports, August 2024 DOI:
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5. Muhammad Bilal Riaz, Azad Hussain, Ayesha Saddiqa, Fahd Jarad “Numerical evaluation for the peristaltic flow in the proximity of double-diffusive convection of non-Newtonian nanofluid under the MHD” International Journal of Thermofluids, August 2024 DOI: https://doi.org/10.1016/j.ijft.2024.100791
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6. Azad Hussain, S Bilal, Tayyaba Arshad, Muhammad Naveel Riaz Dar, Abeer Ahmed Aljohani, Muhammad Bilal Riaz, Ehab Ghith “Unveiling thermal and hemodynamic effects of aneurysm on abdominal aorta using power law model and finite element analysis” Case Studies in Thermal Engineering, June 2024 DOI: https://doi.org/10.1016/j.csite.2024.104746
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7. Azad Hussain, Muhammad Bilal Riaz, Muhammad Naveel Riaz Dar, Rimsha Kanwal, Lubna Sarwar, Adil Jhangeer “Computational study of effect of hybrid nanoparticles on hemodynamics and thermal transfer in ruptured arteries with pathological dilation” Scientific Reports, June 2024 DOI: http://dx.doi.org/10.1038/s41598-024-64356-2
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8. Azad Hussain, Muhammad Bilal Riaz, Muhammad Naveel Riaz Dar, Rimsha Kanwal, Lubna Sarwar & Adil Jhangeer “Computational study of effect of hybrid nanoparticles on hemodynamics and thermal transfer in ruptured arteries with pathological dilation” Scientific Reports, June 2024 DOI:
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9. Azad Hussain, Ayesha Saddiqa, Muhammad Bilal Riaz, Jan Martinovic “A comparative study of peristaltic flow of electro-osmosis and MHD with solar radiative effects and activation energy” International Communications In Heat And Mass Transfer, June 2024 DOI: https://doi.org/10.1016/j.aej.2024.12.024
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10. Azad Hussain, Ayesha Saddiqa, Muhammad Bilal Riaz, Jan Martinovic “A comparative study of peristaltic flow of electro-osmosis and MHD with solar radiative effects and activation energy” International Communications In Heat And Mass Transfer, June 2024 DOI:
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11. Azad Hussain, Saira Raiz, Ali Hassan, Ahmed M Hassan, Hanen Karamti, Gabriella Bognár “Analysis of Soret and Dufour effects on radiative heat transfer in hybrid bioconvective flow of carbon nanotubes” Scientific Reports, May 2024 DOI: http://dx.doi.org/10.1038/s41598-024-62647-2
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12. Azad Hussain, Muhammad Bilal Riaz, Muhammad Naveel Riaz Dar, Warda Khalid Cheema, AS Shflot, MY Malik “Unraveling the transformative impact of ternary hybrid nanoparticles on overlapped stenosis with electroosmotic vascular flow kinetics and heat transfer” Case Studies in Thermal Engineering, May 2024 DOI: https://doi.org/10.1016/j.csite.2024.104589
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13. Azad Hussain, Muhammad Naveel Riaz Dar, Rimsha Kanwal, Warda Khalid Cheema, Lubna Sarwar “Unraveling the hemodynamic impact: Computational insights into blood flow and heat transport dynamics in triangle-shaped stenotic aneurysmal arteries” International Communications In Heat And Mass Transfer, May 2024 DOI:
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14. Azad Hussain, Saira Raiz, Ali Hassan, Ahmed M. Hassan, Hanen Karamti & Gabriella Bognár “Analysis of Soret and Dufour effects on radiative heat transfer in hybrid bioconvective flow of carbon nanotubes” Scientific Reports, May 2024 DOI:
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15. Lubna Sarwar, Azad Hussain and Sobia Akbar “Modeling and analysis of hybrid-blood nanofluid flow in stenotic artery” Scientific Reports, March 2024 DOI:
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16. Lubna Sarwar, Azad Hussain, Muhammad Bilal Riaz, Sobia Akbar “Modeling and analysis of hybrid-blood nanofluid flow in stenotic artery” Scientific Reports, March 2024 DOI: 10.1038/s41598-024-55621-5
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17. Saquib Ul Zaman, Muhammad Nauman Aslam, Azad Hussain, Nawal A Alshehri, Ahmad M Zidan “Analysis of heat transfer in a non-Newtonian nanofluid model with temperature-dependent viscosity flowing through a thin cylinder” Case Studies in Thermal Engineering, February 2024 DOI: https://doi.org/10.1016/j.csite.2024.104086
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18. Azad Hussain , Muhammad Naveel Riaz Dar, Warda Khalid Cheema, Rimsha Kanwal and Yanshuo Han “Investigating hybrid nanoparticles for drug delivery in multi-stenosed catheterized arteries under magnetic field effects” Scientific Reports, January 2024 DOI:
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19. Azad Hussain, Naila Farooq, Ambreen Ahmad, Ayesha Saddiqa “Numerical simulation of the permeable wedge-shaped geometry incorporating electroosmosis, solar radiation and heat source-sink effects” International Communications In Heat And Mass Transfer, January 2024 DOI:
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20. Azad Hussain, Naila Farooq, Ayesha Saddiqa “Exploration of double diffusive convection phenomena of viscous nanofluid with consideration of solar radiative flux and MHD impact through the peristaltic channel” Numerical Heat Transfer Part B-Fundamentals, November 2023 DOI: https://doi.org/10.1080/10407790.2023.2283557
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21. Azad Hussain, Naila Farooq, Muhammad Naveel Riaz Dar “Consequences of an inclined magnetic field and variable viscosity on Williamson blood nanomaterial with bioconvection phenomena passing through peristalsis geometry” Numerical Heat Transfer Part A-Applications, November 2023 DOI: https://doi.org/10.1080/10407782.2023.2282145
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22. Azad Hussain, Muhammad Naveel Riaz Dar, Rimsha Kanwal, Warda Khalid Cheema, Lubna Sarwar “Magneto-Bio-Convection Enhanced heat transfer in Prandtl hybrid nanofluid with inclined magnetization and microorganism migration” Journal Of Magnetism And Magnetic Materials, October 2023 DOI: https://doi.org/10.1016/j.jmmm.2023.171403
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23. Azad Hussain, Muhammad Naveel Riaz Dar, Ali Mujtaba, Faizan Hussain, Naila Farooq, Ahmed M Hassan “Slip effects on 3-D spinning dual-phase nanofluid flow over an exponentially stretching sheet with variable viscosity” Results in Engineering, September 2023 DOI: https://doi.org/10.1016/j.rineng.2023.101387
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24. Azad Hussain, Saira Raiz, Ali Hassan, Hanen Karamti, Abdulkafi Mohammed Saeed, Ahmed M Hassan “ Significance of Cattaneo-Christov Heat Flux on Heat Transfer with Bioconvection and Swimming Micro Organisms in Magnetized Flow of Magnetite and Silver Nanoparticles Dispersed in Prandtl Fluid” BioNanoScience, August 2023 DOI: 10.1007/s12668-023-01161-7
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25. Azad Hussain, Naila Farooq, Naveel Dar “Swimming of gyrotactic micro-organisms within the Williamson blood nano fluid model and solar mimetic system over the peristaltic arterial wall” Computational Particle Mechanics, March 2023 DOI: 10.1007/s40571-023-00581-2