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Title ANALYSIS OF WALL PROPERTIES AND SLIP PARAMETER ON THE PHAN-THIEN-TANNER (PTT) FLUID

Author(s) MARIYAM DUREZ

Abstract This thesis delves into a comprehensive exploration of the peristaltic movement of a nonNewtonian Phan-Thien-Tanner (PTT) fluid within a symmetric flexible channel characterized by sinusoidal peristaltic waves. The study employs the long wavelength and low Reynolds number approximation, focusing on the flow within a wave frame of reference that travels at the velocity of the peristaltic waves. The investigation encompasses a detailed analysis of the influences of wall properties, porosity, and slip parameter on the behavior of the PTT fluid. The mathematical representation of the system relies on partial differential equations (PDEs), with subsequent utilization of similarity transformations to effectively reduce the number of dependent variables. The analytical solution is employed to resolve mathematical complexities and provide conclusive results for the problem. Through the presentation of graphs, the study meticulously examines the impact of various physical parameters on streamlines, pressure distribution, and velocity within the system.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2024-03-12

Subject Mathematics

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