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Title General Solutions for Magnetohydrodynamics Flow of a Viscoelastic Fluid through Porous Medium

Author(s) Bushra Riaz

Abstract In this thesis, a theoretical investigation is undertaken for simple Couette flow and acceleration flow for non-Newtonian fluid. Exactly, we establish exact solution for the fully developed unsteady laminar flows of an incompressible hydromagnetic Maxwell fluid ℎ lies between two parallel plates. One of the plate is stationary while the other plate moves with the velocity 𝑈𝑓(𝑡), where 𝑓(𝑡)=𝐻(𝑡) or 𝑓(𝑡)=𝐻(𝑡)𝑡𝑎(𝑎>0). Also, the effect of porous medium is taken into account and the constant pressure is applied in the direction of the flow. The analytical solution for the velocity field, shear stress and the volume flux are obtained in simple form by means of finite Fourier sine transform. These solution, depending on the initial and boundary condations are presented as a sun of steady and transient solutions. Furthermore, the solutions for Newtonian fluid performing the same motion are also obtained for simple Couette flow and the accelerating flows are also obtained as limiting cases for our general solution. Finally, the effect of the material parameters on the velocity profile and shear stress are spotlighted by means of the graphical illustration.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2025-07-07

Subject Mathematics

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