Low Reynolds number flow in a heated tube of varying section

Author:

Bestman A. R.

Abstract

AbstractIn this paper we study the effect of forced and free convection heat transfer on flow in an axisymmctric tube whose radius varies slowly in the axial direction. Asymptotic series expansions in terms of a small parameter ∈, which is a measure of the radius variation, are obtained for the velocity components, pressure and temperature on the assumption that the Reynolds number (R) is of order one. The effect of the free convection parameter or Grashof number (G) on the axial velocity, temperature distribution, shear stress and heat flux at the wall are discussed quantitatively for a locally constricted tube.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference6 articles.

1. Peristaltic pumping in a heated tube at low Reynolds number;Bestman;Proc. 16th Midwestern Fluid Mechanics Conference,1979

2. Numerical studies of penstaltic pumping in a heated tube;Bestman;Numerical Methods in Thermal Problems,1981

3. Unsteady viscous flow in a pipe of slowly varying cross-section

4. Low Reynolds number flow in slowly varying axisymmetric tubes

5. Flow in Locally Constricted Tubes at Low Reynolds Numbers

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. MHD studies on the free convection and hall effects on waves in a semi-infinite plasma;Astrophysics and Space Science;1993-06

2. Deep heat muscle treatment a mathematical model — I;Acta Physica Hungarica;1993-03

3. Unsteady low Reynolds number flow in a heated tube of slowly varying section;The Journal of the Australian Mathematical Society. Series B. Applied Mathematics;1988-10

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