Unsteady laminar duct flow with a given volume flow rate variation

Das, D. ; Arakeri, J. H. (2000) Unsteady laminar duct flow with a given volume flow rate variation Journal of Applied Mechanics, 67 (2). pp. 274-281. ISSN 0021-8936

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Related URL: http://dx.doi.org/10.1115/1.1304843


In this paper we give a procedure to obtain analytical solutions for unsteady laminar flow in an infinitely long pipe with circular cross section, and in an infinitely long two-dimensional channel, created by an arbitrary but given volume flow rate with time. In the literature, solutions have been reported when the pressure gradient variation with time is prescribed but not when the volume flow rate variation is. We present some examples: (a) the flow rate has a trapezoidal variation with time, (b) impulsively started flow, (c) fully developed flow in a pipe is impulsively blocked, and (d) starting from rest the volume flow rate oscillates sinusoidally.

Item Type:Article
Source:Copyright of this article belongs to The American Society of Mechanical Engineers.
Keywords:Laminar Flow; Pipe Flow; Fluid Oscillations; Flow Instability
ID Code:67939
Deposited On:02 Nov 2011 02:53
Last Modified:02 Nov 2011 02:53

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