Abstract
In this paper, the problem of optimum volume profile under constant drag constraint when uniform stream is parallel to the axis of symmetry and flow is governed by Stokes equations has been tackled. Here, 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 EC (1962) Differential equations and the calculus of variations. Pergamon Press; Sagan H (1969) Introduction to the calculus of Variations. MacGrawhill]. It has been found that the body profile possesses conical front and rear ends. The numerical value of the optimized volume has also been calculated for the profile and compared with some known values.
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