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Transient Taylor—Dean flow in a composite annulus partially filled with porous material

Transient Taylor—Dean flow in a composite annulus partially filled with porous material A semi-analytical study is performed to examine transient Taylor-Dean flow in a composite annulus within two concentric cylinders partially filled with porous material. In the present model, the circumferential flow is set up as a result of azimuthal pressure gradient as well as the rotation of the two concentric cylinders. The equation governing the flow is rendered non-dimensional and transformed into ordinary differential equation using the well-known Laplace transform technique. The solution is then transformed back to the time domain using the Riemann-sum approximation (RSA) approach. The solution of the steady-state of the present model including the implicit finite difference (IFD) is also computed to validate the result obtained from the RSA approach. It is important to note that the surface resistant force can be controlled by choosing suitable values of β. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Thermophysics and Aeromechanics Springer Journals

Transient Taylor—Dean flow in a composite annulus partially filled with porous material

Thermophysics and Aeromechanics , Volume 29 (2) – Mar 1, 2022

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Publisher
Springer Journals
Copyright
Copyright © B.K. Jha and T.S. Yusuf 2022
ISSN
0869-8643
eISSN
1531-8699
DOI
10.1134/s086986432202010x
Publisher site
See Article on Publisher Site

Abstract

A semi-analytical study is performed to examine transient Taylor-Dean flow in a composite annulus within two concentric cylinders partially filled with porous material. In the present model, the circumferential flow is set up as a result of azimuthal pressure gradient as well as the rotation of the two concentric cylinders. The equation governing the flow is rendered non-dimensional and transformed into ordinary differential equation using the well-known Laplace transform technique. The solution is then transformed back to the time domain using the Riemann-sum approximation (RSA) approach. The solution of the steady-state of the present model including the implicit finite difference (IFD) is also computed to validate the result obtained from the RSA approach. It is important to note that the surface resistant force can be controlled by choosing suitable values of β.

Journal

Thermophysics and AeromechanicsSpringer Journals

Published: Mar 1, 2022

Keywords: circumferential flow; Darcy number; composite annulus; Taylor-Dean flow; azimuthal

References