THE UNSTEADY FREE CONVECTION FLOW OF ROTATING SECOND GRADE FLUID OVER AN OSCILLATING VERTICAL PLATE

Authors

  • Ahmad Qushairi Mohamad Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, Malaysia
  • Ilyas Khan College of Engineering, Majmaah University, P.O. Box 66, Majmaah 11952, Saudi Arabia
  • Zulkhibri Ismail Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, Malaysia
  • Sharidan Shafie Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, Malaysia

DOI:

https://doi.org/10.11113/jt.v78.7814

Keywords:

Second grade fluid, rotating, free convection, oscillating, Laplace transform

Abstract

In this paper, the exact solutions for unsteady free convection flow of rotating second grade fluid over an isothermal oscillating vertical plate are investigated. This phenomenon is modeled in the form of partial differential equations with initial and boundary conditions. Some suitable non dimensional variables are introduced. The corresponding non-dimensional equations with conditions are solved using Laplace transform technique. Exact solutions for velocity and energy profiles are obtained. They are expressed in simple forms in terms of exponential and complementary error functions of Gauss. It is found that they satisfy governing equations and conditions imposed. Computations are carried out and the results are analyzed for various emerging parameters.

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Published

2016-03-09

How to Cite

THE UNSTEADY FREE CONVECTION FLOW OF ROTATING SECOND GRADE FLUID OVER AN OSCILLATING VERTICAL PLATE. (2016). Jurnal Teknologi (Sciences & Engineering), 78(3-2). https://doi.org/10.11113/jt.v78.7814