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Research Papers: Fundamental Issues and Canonical Flows

Optimum Cross Section Profile in Axisymmetric Stokes Flow

[+] Author and Article Information
Deepak Kumar Srivastava

Department of Mathematics  B.S.N.V. Post Graduate College Lucknow University, Lucknow Lucknow(Uttar Pradesh)-226001, India e-mail: dksflow@hotmail.com

J. Fluids Eng 133(10), 101202 (Sep 26, 2011) (6 pages) doi:10.1115/1.4004912 History: Received April 21, 2011; Revised August 16, 2011; Published September 26, 2011; Online September 26, 2011

In this paper, the problem of optimum cross-section profile in axisymmetric Stokes flow has been discussed under the restriction of specific drag. We take up a class of bodies to be of given maximum cross section with fore and aft symmetry about this section. The possible shape under the stationary value drag has been obtained by making use of method of extremals (Fox, C., 1950, An Introduction to the Calculus of Variations, Oxford University Press, Oxford; Elsgolc, L. E., 1962, Calculus of Variations, Pergamon, New York; Sagan, H., 1969, Introduction to the Calculus of Variations, McGraw-Hill, New York). It has been found that body profile possesses conical front and rear ends. The value of the cross-sectional area has also been calculated for the profile and compared with some known values.

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Copyright © 2011 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Geometry of axially symmetric body

Grahic Jump Location
Figure 2

Optimum cross-section profile for various values of parameter m

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