Steady Flow About A Sphere In A Porous Medium Subject To An Oscillating Temperature

  • Lai Zhe Phooi
  • Zainodin Haji Jubok
  • Rozaini Roslan
  • Ishak Hashim
Keywords: Steady flow, poros medium, an oscillating temperature

Abstract

The study of free convection about a sphere in a porous medium, when the temperature of the sphere is oscillating harmonically is considered for Rayleigh number, Ra=100. By using the matched asymptotic expansion, the flow field is divided into an inner region and an outer region, where the inner region is adjacent to the sphere and the outer region is far from the sphere. In the inner region, the separation technique is used to divide the second-order temperature and stream function into steady and unsteady parts. The analytical solution is obtained up to second-order steady term. For outer region, the numerical result up to first order is obtained by using a finite difference scheme. It is found that, a steady flow is induced at the outer edge of the inner region. The temperature and flow patterns are discussed and compared for some frequencies of oscillation, ω and dimensionless parameter ε. It is found that both the magnitudes of temperature and stream functions decreases as ω increases or decreases but the effect of ε is not significant in the outer region. In the inner region, the magnitude of steady flow is also determined by frequency.

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Author Biographies

Lai Zhe Phooi
School of Science and Technology, Universiti Malaysia Sabah, Jalan UMS, 89400 Kota Kinabalu, Sabah, Malaysia
Zainodin Haji Jubok
School of Science and Technology, Universiti Malaysia Sabah, Jalan UMS, 89400 Kota Kinabalu, Sabah, Malaysia
Rozaini Roslan
Faculty of Science, Arts and Heritage, Universiti Tun Hussein Onn Malaysia,
86400 Parit Raja, Batu Pahat, Johor, Malaysia
Ishak Hashim
Modelling & Data Analysis Research Centre, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
How to Cite
Zhe Phooi, L., Haji Jubok, Z., Roslan, R., & Hashim, I. (1). Steady Flow About A Sphere In A Porous Medium Subject To An Oscillating Temperature. Journal of Science and Technology, 3(1). Retrieved from https://publisher.uthm.edu.my/ojs/index.php/JST/article/view/217
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Articles