Analysis of Porous Eliptical Slider through Semi-Analytical Technique

Authors

  • VS Sampath Kumar Department of Mathematics, Manipal Academy of Higher Education Manipal Institute of Technology, Manipal, Karnataka, India
  • NP Pai Department of Mathematics, Manipal Academy of Higher Education Manipal Institute of Technology, Manipal, Karnataka, India

Keywords:

porous slider, non-Newtonian fluids, perturbation method, Euler’s transformation

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.

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Published

2020-12-01

How to Cite

Kumar, V. S. ., & Pai, N. . (2020). Analysis of Porous Eliptical Slider through Semi-Analytical Technique. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 48(1), 80–90. Retrieved from https://akademiabaru.com/submit/index.php/arfmts/article/view/2261
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