Analysis of Porous Eliptical Slider through Semi-Analytical Technique

Sampath Kumar, V S and Pai, N P (2018) Analysis of Porous Eliptical Slider through Semi-Analytical Technique. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 48 (1). pp. 80-90. ISSN 2289-7879

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Abstract

A non-Newtonian fluid of constant density is forced through the porous bottom of elliptic slider. The semi-major axis of the slider is assumed to be much longer than the gap width between the slider and the plane. The similarity transformation reduces the equations of motion to a set of nonlinear ordinary differential equations which are solved using a semi numerical technique for smaller and moderately large Reynolds numbers. In this method we develop the series expansion with polynomial coefficients for the solution, we calculate few terms manually and for obtaining a large number of terms we use computer. The region of validity of the series representing drag and lift is increased by Euler’s transformation. The results so obtained are compared with earlier findings.

Item Type: Article
Uncontrolled Keywords: Porous slider, non-Newtonian fluids, perturbation method, Euler’s transformation
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 10 Nov 2018 06:22
Last Modified: 10 Nov 2018 06:22
URI: http://eprints.manipal.edu/id/eprint/152238

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