Slow rotation of concentric spheres with source at their centre in a viscous fluid
type: Item
instance of: scholarly article
title: Slow rotation of concentric spheres with source at their centre in a viscous fluid
zbMATH Open document ID: 1258.76072
DOI: 10.1155/2009/740172
author: Deepak Kumar Srivastava
published in: Journal of Applied Mathematics
publication date: 2010-04-14T00:00:00Z
review text: Summary: The problem of concentric pervious spheres carrying a fluid source at their centre and rotating slowly with different uniform angular velocities \(\Omega_1, \Omega_2\) about a diameter has been studied. The analysis reveals that only azimuthal component of velocity exists, and the couple, rate of dissipated energy is found analytically in the present situation. The expression of couple on inner sphere rotating slowly with uniform angular velocity \(\Omega_1\), while outer sphere also rotates slowly with uniform angular velocity \(\Omega_2\), is evaluated. The special cases, like (i) inner sphere is fixed (i.e., \(\Omega_1=0\)), while outer sphere rotates with uniform angular velocity \(\Omega_2\), (ii) outer sphere is fixed (i.e., \(\Omega_2=0\)), while inner sphere rotates with uniform angular velocity \(\Omega_1\), and (iii) inner sphere rotates with uniform angular velocity \(\Omega_1\), while outer sphere rotates at infinity with angular velocity \(\Omega_ 2 \), have been deduced.
Mathematics Subject Classification ID: 76D17
zbMATH DE Number: 5692901
zbMATH Keywords: concentric pervious spheres
zbMATH Keywords: fluid source
zbMATH Keywords: slow rotation
Wikidata QID: Q58648644
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2009/740172
OpenAlex ID: W2139815757
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DBLP publication ID: journals/jam/Srivastava09
description: scientific article; zbMATH DE number 5692901