A note on the flow of a fluid with pressure-dependent viscosity in the annulus of two infinitely long coaxial cylinders Academic Article

abstract

• The dependence of the viscosity of fluids on pressure has been well established by experiments and it needs to be taken into consideration in problems where there is a large variation of pressure in the flow domain. In this paper we consider the flow of a fluid in the annulus between two cylinders whose viscosity depends on the pressure. First we consider the steady flow in the annulus due to the rotation of one cylinder with respect to the other. Then we study the problem of flow in the annular region due to torsional and longitudinal oscillations of one cylinder with respect to the other. In both the problems considered the flow is found to be markedly different from that for the incompressible Navier-Stokes fluid with constant viscosity. 2010.

authors

• Rajagopal, Kumbakonam

published proceedings

• APPLIED MATHEMATICAL MODELLING

author list (cited authors)

• Srinivasan, S., & Rajagopal, K. R.

citation count

• 2

complete list of authors

• Srinivasan, Shriram||Rajagopal, KR

publication date

• November 2010

publisher

• Elsevier  Publisher

published in

• Applied Mathematical Modelling: simulation and computation for engineering and environmental systems  Journal

keywords

• Annulus
• Barus' Formula
• Cylinder
• Longitudinal Oscillation
• Pressure-dependent Viscosity
• Torsional Oscillation

Digital Object Identifier (DOI)

• 10.1016/j.apm.2010.02.017

start page

• 3255

end page

• 3263

volume

• 34

issue

• 11

URL

• http://dx.doi.org/10.1016/j.apm.2010.02.017