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A Numerical Study of Impulsively Started External Convection at Microscale

Published online by Cambridge University Press:  22 May 2014

K. Ramadan
K. Ramadan*
Affiliation:
Department of Mechanical Engineering, Mu'tah UniversityP. O. Box 7, Karak 61710, Jordan
*
rkhalid@mutah.edu.jo
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Abstract

Impulsively started external convection at microscale level is studied numerically in both planar and axisymmetric geometries. Using similarity transformation, the resulting coupled partial and non-linear ordinary differential equations are simultaneously solved by finite differences together with a well established ordinary differential equation solver, over a range of problem parameters. Rarefaction effects within the slip flow regime on the thermal boundary layer response, heat transfer rate and transition time when system experiences sudden changes in surface temperature are analyzed, and a comparison between sudden surface cooling and heating is presented. The results show that the thermal boundary layer thickness, heat transfer rate and the transition time is considerably influenced by the degree of rarefaction. The transition time tends to be less sensitive with increasing rarefaction. The velocity slip and temperature jump factors are found to have opposite effects on the transition time and the heat transfer rate, with the velocity slip factor having the most profound influence on these parameters.

Keywords

MicroscaleRarefactionSlip flowVelocity slipTemperature jumpTransient convection
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 1 , February 2015 , pp. 79 - 90
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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