Muhammad AhsanCIIT/SP20-RMT-031/LHRDr.Mohsan HassanLHR TP 76352026-05-072021https://repository.cuilahore.edu.pk/123456789/3880Non-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.enDepartment of MathematicsSp20Mathematicsowell–Eyring fluidnon-Newtonian fluidheat transferDr.Mohsan HassanThesis