Linear time-dependent fluid flow problems

Wadhwa, Y. D.; Wineinger, T. W.

doi:10.1090/qam/99870

Authors: Y. D. Wadhwa and T. W. Wineinger
Journal: Quart. Appl. Math. 26 (1968), 1-9
DOI: https://doi.org/10.1090/qam/99870
MathSciNet review: QAM99870
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Abstract | References | Additional Information

Abstract: A general method for solving the linear unsteady fluid flow problems through closed conduits has been given. The method is suitable for problems with or without initial conditions. The cases of flow through a circular pipe and a circular annular channel with arbitrary time-dependent pressure gradient have been solved to illustrate the method.

P. Szymanski, Sur l’ecoulement non permanent du fluide visqueux dans le tuyau, Vol. 1, p. 249–254, Applied Mech. Congress 3rd., Paris, 1930

V. W. Müller, Zum Problem des Anlaufstromung einer Flussigkeit in geraden Rohr mit Kreising— und Kreisquerschmitt, Z.A.M.M 16, 227–238 (1935)

Lakshmi Sanyal, The flow of a viscous liquid in a circular tube under pressure-gradients varying exponentially with time, Indian J. Phys. 30 (1956), 57–61. MR 77328
I. U. Ojalvo, An extension of ‘separation-of-variables’ for time-dependent excitations, Quart. Appl. Math. 20 (1962/63), 390–394. MR 140807, DOI https://doi.org/10.1090/S0033-569X-1963-0140807-4