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2 International Journal of Applied Mechanics and Engineering

2 Ariel P. D.

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Natural convection flow of a third grade fluid in a circular pipe

Ariel P. D.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 2

311-323

The steady, laminar, natural convection flow of a third grade fluid in a vertical circular pipe is investigated when a constant temperature is maintained at the walls of the pipe. The flow is governed by a pair of coupled equations in velocity and temperature fields involving the parameters K, which is the product of the Eckert and Prandtl number, and [...] which is a measure of the third grade fluid parameter. Solutions are obtained (i) by numerical integration of the differential equations governing the flow, and (ii) by seeking a perturbation solution in terms of the parameter K. The results are compared and appropriate conclusions drawn regarding the applicability of the perturbation solution. It is shown that the effect of the third grade fluid parameter is to counteract the influence of the parameter K on the flow.

Fluid dynamics of the elliptic porous slider at high crossflow Reynolds numbers

Ariel P. D.

International Journal of Applied Mechanics and Engineering

2005

Vol. 10, no 2

193-206

The numerical and asymptotic solutions for high crossflow Reynolds numbers in the flow of an incompressible, Newtonian fluid through an elliptical porous slider are developed. An efficient numerical scheme is presented which allows the flow to be computed practically for arbitrarily large values of the Reynold's number. A comparison is made of the results obtained by the two techniques and the domain of the physical parameters for which the asymptotic solution can be used reasonably has been demarcated.