THERMAL SCIENCE

International Scientific Journal

Abid Hussanan

,

Mohd Zuki Salleh

,

Ilyas Khan

,

Razman Mat Tahar

UNSTEADY FREE CONVECTION FLOW OF A MICROPOLAR FLUID WITH NEWTONIAN HEATING: CLOSED FORM SOLUTION

ABSTRACT
This article investigates the unsteady free convection flow of a micropolar fluid over a vertical plate oscillating in its own plane with Newtonian heating condition. The problem is modelled in terms of partial differential equations with some physical conditions. Closed form solutions in terms of exponential and complementary error functions of Gauss are obtained by using the Laplace transform technique. They satisfy the governing equations and impose boundary and initial conditions. The present solution in the absence of microrotation reduces to well-known solutions of Newtonian fluid. Graphs are plotted to study the effects of various physical parameters on velocity and microrotation. Numerical results for skin friction and wall couple stress is computed in tables. Apart from the engineering point of view, the present article has strong advantage over the published literature as the exact solutions obtained here can be used as a benchmark for comparison with numerical/ approximate solutions and experimental data.
KEYWORDS
unsteady flow, micropolar fluid, wall couple stress, Newtonian heating, closed form solutions
PAPER SUBMITTED: 2015-02-21
PAPER REVISED: 2015-07-29
PAPER ACCEPTED: 2015-07-29
PUBLISHED ONLINE: 2015-09-06
DOI REFERENCE: https://doi.org/10.2298/TSCI150221125H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 6, PAGES [2313 - 2326]
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Unsteady free convection flow of a micropolar fluid with Newtonian heating: Closed form solution

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