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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 57
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 57, Issue 5, September 2006
  4. On the Bödewadt–Rosenblat flow
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 57, Issue 6, November 2006
Zeitschrift für angewandte Mathematik und Physik : Volume 57, Issue 5, September 2006
Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems
Existence-uniqueness and monotone approximation for a phytoplankton-zooplankton aggregation model
Continuous dependence inequalities for a class of quasilinear parabolic problems
Boussinesq–Cerruti problems for the hexagonally symmetric system of elasticity in n–dimensional half-space
Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones
On the Bödewadt–Rosenblat flow
Starting solutions for some unsteady unidirectional flows of Oldroyd-B fluids
Decay rates at low and high frequencies for a plate equation with feedback concentrated in interior curves
Wave features for consistent-order-extended thermodynamics
Steady-state vibrations of an unbounded linear piezoelectric medium
Micro/nano sliding plate problem with Navier boundary condition
Buchbesprechungen – Book reviews – Notices bibliographiques
Zeitschrift für angewandte Mathematik und Physik : Volume 57, Issue 4, July 2006
Zeitschrift für angewandte Mathematik und Physik : Volume 57, Issue 3, May 2006
Zeitschrift für angewandte Mathematik und Physik : Volume 57, Issue 2, March 2006
Zeitschrift für angewandte Mathematik und Physik : Volume 57, Issue 1, November 2005
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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On the Bödewadt–Rosenblat flow

Content Provider SpringerLink
Author Chawla, S. S. Srivastva, P. K.
Copyright Year 2006
Abstract Fluid motion induced by the torsional oscillations (of angular velocity bΩcosω T) of an infinite disk in contact with an incompressible viscous rotating (with angular velocity aΩ) fluid of semi-infinite extent is analysed when the amplitude parameter α( =  b/a) varies from zero to infinity. Composite solutions valid over the whole of the flow regime and specific expressions for the shearing stress components at the disk and for the axial flow in the far region are obtained for low and high frequencies of torsional oscillations. Using the method of matched asymptotic expansions, we find that the region of the mean flow increases with α and reaches a maximum before settling down to the Rosenblat profile. Series expressions (for α < 1) are deduced for physical quantities of interest when the fluid in the far field and the disk are rotating with different angular velocities (in the same or in the opposite sense), which agree well with the known numerical results.
Starting Page 793
Ending Page 814
Page Count 22
File Format PDF
ISSN 00442275
Journal Zeitschrift für angewandte Mathematik und Physik
Volume Number 57
Issue Number 5
e-ISSN 14209039
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2006-07-19
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Swirling flow torsional oscillations resonance shearing stress matched asymptotic expansions composite solutions Mathematical Methods in Physics Theoretical and Applied Mechanics
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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