Abstract
The present problem is considered as a coupled boundary value problem and is analyzed using a semi analytic method. A series method is used to obtain the solution and region of validity is extended by suitable techniques. In this case of series solution the results obtained are better than pure numerical findings up to moderately large Reynolds numbers. The variation of physical parameters is discussed in detail.
Highlights
The flow between porous discs has been studied by several authors
We propose a systematic scheme for this purpose, we consider fn and gn to be of the forms
A new type of series is presented for studying the problems of flow between the two discs using recurrences (3.7) and (3.8)
Summary
The flow between porous discs has been studied by several authors. As in the case of porous pipes and porous channels, the governing equation reduces to a set of nonlinear ordinary differential equations. This problem was first studied by Batchelor [1] who generalized the solution of Von Karman [2]. We view this problem as a coupled nonlinear boundary value problem. In the analysis of flow in pipe, Pai and Katagi [8] have used series analysis satisfactorily. N. Katagi ical problem considered in this paper is of great importance in Fluid Dynamics. The series so generated has limited utility due to presence of a singularity and its region of validity is extended by analytic continuation
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