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Title Impact of Elastic Passage on the Peristaltic Transport of Williamson Fluid with Slip Effects

Author(s) Hadia Perveen

Abstract The main focus of this thesis is to investigates the impact of elastic wall properties on the peristaltic transport of Williamson fluid through a symmetric passage, incorporating the effects of slip boundary conditions. The mathematical model is developed under the assumptions of long wavelength and low Reynolds number, enabling the use of the lubrication approach. To address the nonlinear nature of the governing momentum and energy equations, a perturbation technique is applied to obtain approximate analytical solutions. The analysis explores variations in velocity distribution, pressure rise, and streamline patterns under the combined influence of wall elasticity and slip effects. Special emphasis is placed on extending the work where the peristaltic motion of Williamson fluid between concentric cylinders with an elastic outer wall was considered. In this framework, additional factors such as velocity slip at the boundaries, porosity, and magnetohydrodynamic (MHD) effects are incorporated into the model formulated in cylindrical coordinates. Solutions are derived using a regular perturbation method, while Mathematica software is employed for graphical representation of the results. The findings reveal that wall elasticity and slip conditions significantly modify the velocity profiles, shear stress, and trapping phenomena of the Williamson fluid. These results contribute to a deeper understanding of peristaltic transport mechanisms, with potential applications in physiological processes and industrial fluid systems.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2025-12-16

Subject Mathematics

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