Department of Mathematics

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Author: search.filters.author.Dr. Mohsan HassanSubject: search.filters.subject.Dr. Mohsan Hassan

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    Heat and Mass Flow of Viscoelastic Maxwell Model Fluid Over Variable Thicker Stretching Sheet
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Qursam Shahzadi; CIIT/SP20-RMT-005/LHR; Dr. Mohsan Hassan
    In the current thesis, the flow of Non Newtonian fluid over variable thicker surface is investigated. For a Non-Newtonian fluid, the system is formulated by using both upper and lower convected Maxwell model. The mathematical formulation of the problems leads to partial differential equations (PDEs) which are first converted into ordinary differential equations (ODEs) via suitable similarity transformations and then solved numerically through Runge-Kutta method. The results are evaluated in velocity and temperature profiles and discussed in graphical form.
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    Study On The Heat And Mass Transport Of Non Newton
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Sajid Ali; FA19-RMT-051; Dr. Mohsan Hassan; LHR TP 7398
    This study investigates heat and mass transport phenomena in non-Newtonian fluid flow under various physical effects. The analysis focuses on the behavior of complex fluids whose viscosity depends on shear rate, temperature, and concentration gradients. Governing nonlinear partial differential equations describing momentum, energy, and species concentration are formulated for the system. Appropriate similarity transformations are employed to reduce the governing equations, which are then solved using analytical and numerical techniques. The effects of key parameters such as thermal conductivity, diffusion rate, and non-Newtonian fluid characteristics on heat and mass transfer rates are examined in detail. The results highlight significant deviations from Newtonian behavior and provide insights relevant to industrial processes, chemical engineering, and thermal systems involving complex fluids.
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    Viscoelastic Maxwell Model Fluid Flow Over Rotating Sheet
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Rameen Aslam Khan; CIIT/FA19-RMT-003/LHR; Dr. Mohsan Hassan; LHR TP 7397
    The viscoelastic fluids have mechanical properties that are intermediate between ordinary liquid and solids. The present work will be concerned with the rheological modeling of viscoelastic materials through differential method. For the material, Maxwell model is used. This model is used in governing equations of the flow problem. For the flow of viscoelastic fluid, the rotating sheet will be used. The solution of these equations will be obtained by numerical technique. The results are displayed in the velocity and temperature profiles for discussion.
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    Non-Newtonian Fluid Flow Over Variable Thicker Surface: A Five Parameters Contained Carreau Model
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Abdul Ghafar; CIIT/FA19-RMT-113/LHR; Dr. Mohsan Hassan; LHR TP 7407
    In current thesis, the flow of non-Newtonian fluid over variable thicker surface is investigated. For the non-Newtonian fluid, five parameters contained Carreau Model is used. To achieve the goal, thesis is divided into three chapters. One chapter contains the basic definitions and some terminologies. Chapter two contains basic governing equations which are used for flow problem. In the last chapter, the mathematical model is developed by using equations of chapter two. The solution of this model is obtained by RK-method. The results are displayed in form of velocity and temperature profile for discussion.
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    Coupled Parallel Fluid Flow in Porous Medium Adjacent to Free Flow Domain
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2019) Ifrah Tehreem; CIIT/SP17-RMT-023/LHR; Dr. Mohsan Hassan; LHR TP 5746
    Fluid flow through a partially filled porous channel, in which porous layer is considered at center of the channel bounded by free flow regions. Fluid flow over a partially filled porous channel is directed by different types of mathematical model with various kinds of boundary conditions at interface. In chapter 2, we consider the fluid flow through fluid-porous channel in which the flow in free region is governed by Stokes equation and Darcy-Forchheimer model. At interface, we assume the velocity for the free fluid is proportional to the shear rate of the permeable region. In this chapter, we examined the effects of the Darcy number, interfacial velocity slip coefficient and Knudsen number on the velocity distribution. In chapter 3, we consider the same channel in which porous media, but here mathematical model is govern by Stokes equation for free region and Brinkman model for porous region. In addition, at the interface, we use the continuity condition of velocity and shear stress with jump effect to find the fluid flow behavior through the channel. In this case, the effect of different values of Darcy number on the velocity distribution is analyzed and compare with the results of Chapter 2.
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    Analytical Study of Bio-Heat Transfer in Blood and Tissue by LTNE Model
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2019) Dillawar Ali; FA17-RMT-013; Dr. Mohsan Hassan; LHR TP 5650
    Consider the fully developed heat flow in biological porous channel consisting of blood and tissue phase. Fluid flow through a partially filled porous channel, in which porous layer is considered at center of the channel. The problem is formulated by taking two energies equations for blood and tissue phases under two types of boundary conditions. In first case, heat flux is imposed on top wall and second wall is taken as isolated core region. In second case, heat flux is imposed on one wall and taken the uniform core temperature for the second wall. Results of both cases are calculated in form of temperature profile for blood and tissue phases for discussion.
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    Boundary Layer Flow Behavior of Viscoelastic Maxwell Model Fluid Over Thin Needle
    (Library Information Services, CUI Lahorez v, 2023) Mariam Nissar; CIIT/FA21-RMT-019/LHR; Dr. Mohsan Hassan
    In the current thesis, study of viscoelastic fluid flow through the Maxwell model is investigated over thin needle. The mathematical model of this problem is modeled by continuity, momentum and energy equations in the form of partial differential equations. The equations are simplified by boundary layer approximation and similarity transformations. The solution of these equations will be obtained by numerical technique. The results are displayed in the form of
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    Computational Study on Fluid Structure Interaction in a Rectangular Channel with Beams
    (Library Information Services COMSATS University Islamabad Lahore Campus, 2025) Shams Ur Rahman FA23-RMT-050; Dr. Mohsan Hassan; LHR TP 9793
    Fluid Structure Interaction (FSI) in computational fluid dynamics refers to the coupling of fluid flow and structural mechanics, where structural deformation occurs under the influence of fluid forces. FSI analysis is valuable in area such as civil engineering, particularly in the stability of buildings and bridges, aerospace (aircraft structural design), chemical processes, and biomedical engineering, where the coupling of various physics is necessary. The main objective of the study is to test and analyze the effect of fluid flow inside a deformable domain. Three distinct cases are considered within the deformable domain: first, two beams are placed on the bottom wall of the channel; then, two are placed on the upper wall of the channel; and finally, one is placed on the upper side and the other on the lower side of the channel. The FSI method is used to build the model in COMSOL Multiphysics. In addition to testing the structural deformation caused by fluid forces, the analysis focuses on determining the temperature field and velocity distribution inside the channel. The aim of this study is to provide insight into the interaction between fluid flow and deformable structures