Department of Mathematics

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    Study on the Heat and Mass Transport of Non- Newtonian Powell-Eyring Model Fluid Over Variable Thicker Sheet
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Muhammad Ahsan; CIIT/SP20-RMT-031/LHR; Dr.Mohsan Hassan; LHR TP 7635
    Non-Newtonian fluids are used in a wide range of industries, including the polymer sector, the food industry, and even everyday life. The viscosity behaviour of these fluids identifies their rheological behaviour. Many factors affected viscosity change, including temperature, shear rate, pressure, and so on. When heat and mass flows are explored simultaneously, these effects cannot be underestimated, particularly temperature. In this thesis the problem for Study the Heat and Mass flow of Non-Newtonian Powell-Eyring model fluid is explored across a variable thicker sheet. The fluid is considered to be incompressible, laminar, non-newtonian over variable thicker sheet. All the programming is done on MATHEMATICA. The mathematical model is based on partial differential equations (PDEs) that represent continuity, momentum, and energy. To determine the model's solution, it is first converted into an ordinary differential equation (ODEs), which is then solved using the RK-Method. The model's output is presented in the form of velocity and temperature profiles, as well as various parameters.
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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.