Flow of second-order fluids over an enclosed rotating disc

Applied Scientific Research - Tập 15 - Trang 272-288 - 1966
S. K. Sharma1, H. G. Sharma1
1Department of Mathematics, University of Roorkee, Roorkee, India

Tóm tắt

This paper is devoted to a study of the flow of a second-order fluid (flowing with a small mass rate of symmetrical radial outflow m, taken negative for a net radial inflow) over a finite rotating disc enclosed within a coaxial cylinderical casing. The effects of the second-order terms are observed to depend upon two dimensionless parameters τ1 and τ2. Maximum values ξ1 and ξ2 of the dimensionless radial distances at which there is no recirculation, for the cases of net radial outflow (m>0) and net radial inflow (m<0) respectively, decrease with an increase in the second-order effects [represented by T(=τ1+τ2)]. The velocities at ξ1 and ξ2 as well as at some other fixed radii have been calculated for different T and the associated phenomena of no-recirculation/recirculation discussed. The change in flow phenomena due to a reversal of the direction of net radial flow has also been studied. The moment on the rotating disc increases with T.

Tài liệu tham khảo

Soo, S. L., Trans. A.S.M.E., Journal of Basic Engineering 80 (2) (1958) 287. Sharma, S. K., Proc. of 8th Congress on Theoretical and Applied Mechanics, India, 1963. Sharma, S. K. and R. K. Gupta, Proc. of 9th Congress on Theoretical and Applied Mechanics, India, 1964. Coleman, B. D. and W. Noll, Arch. Rat'l. Mech. Anal. 6 (1960) 355. Noll, W., Ibid 2 (1958) 197. Markowitz, H., Refer to Srivastava, A. C., J. Fluid Mech. 17 (1963) 171.