Laminar Flow in an Annulus With Arbitrary Time-Varying Pressure Gradient and Arbitrary Initial Velocity

[+] Author and Article Information
Satya Prakash

Department of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan, India

J. Appl. Mech 36(2), 309-311 (Jun 01, 1969) (3 pages) doi:10.1115/1.3564627 History: Received December 09, 1968; Online September 14, 2011


In this paper, the problem of incompressible laminar viscous flow in the annular space bounded by two coaxial infinite circular cylinders with an arbitrary time-varying pressure gradient and with an arbitrary initial distribution of velocity has been studied. The present problem generalizes the several earlier works in which the pressure gradient and the initial distribution of velocity have been taken in special forms. The analysis has been made by the use of finite Hankel transform. The case of steady flow when the pressure gradient is constant has been deduced by taking the pressure gradient to be a constant quantity and then letting the time since the start of the motion be infinite. This result has been shown in agreement with the already well-established result.

Copyright © 1969 by ASME
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