An exact solution is presented for the forced flow of a viscous liquid through a concentric annulus in which the fluid temperature is increased and the viscosity decreased by rotation of the inner boundary. Such a solution has not previously appeared in the published literature.
Some practical applications are mentioned.
Get full access to this article
View all access options for this article.
References
1.
HughesW. F.OsterleJ. F.‘On the adiabatic Couette flow of compressible fluid’, Trans. Amer. Soc. mech. Engrs195779, 1313.
2.
EfferdingL. E.‘Laminar axial flow of a compressible fluid through an annulus with an inner cylinder rotating’, M.S. thesis, University of Pittsburgh, 1958.
3.
CopeW. F.‘The hydrodynamical theory of film lubrication’, Proc. roy. Soc.1949197 (Series A), 201.
4.
OsterleF.CharnesA.SaibelE.‘On the solution of Reynolds equation for slider bearing lubrication—IV’, Trans. Amer. Soc. mech. Engrs195375, 1117.
5.
TaoL. N.DonovanW. F.‘Through-flow in concentric and eccentric annuli of fine clearance with and without relative motion of the boundaries’, Trans. Amer. Soc. mech. Engrs195577, 1291.
6.
TaylorG. I.‘Fluid friction between rotating cylinders’, Proc. roy. Soc.1936157 (Series A), 558.
7.
MeksynD.‘Stability of viscous flow between rotating cylinders, I’, Proc. roy. Soc.1946187 (Series A), 115.
8.
HaggA. C.‘Heat effects in lubricating films’, J. appl. Mech.1944 (June), 11 (No. 2), A-72.