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Unsteady Laminar Duct Flow With a Given Volume Flow Rate Variation

Das, D and Arakeri, JH (2000) Unsteady Laminar Duct Flow With a Given Volume Flow Rate Variation. In: Journal of Applied Mechanics, 67 (2). pp. 274-281.

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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 twodimensional 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. [S0021-8936(00)01702-5]

Item Type: Journal Article
Publication: Journal of Applied Mechanics
Publisher: American Society of Mechanical Engineers
Additional Information: Copyright of this article belongs to American Society of Mechanical Engineers.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 05 Sep 2006
Last Modified: 19 Sep 2010 04:30
URI: http://eprints.iisc.ac.in/id/eprint/8119

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