Abstract
The effect of injection and suction on the generalised vortex flow of a steady laminar incompressible fluid over a stationary infinite disc with or without magnetic field under boundary-layer approximations has been studied. The coupled nonlinear ordinary differential equations governing the self-similar flow have been numerically solved using the finite-difference scheme. The results indicate that the injection produces a deeper inflow layer and de-stabilises the motion while suction or magnetic field suppresses the inflow layer and produces stability. The effect of decreasingn, the parameter characterising the nature of vortex flow, is similar to that of increasing the injection rate.
Similar content being viewed by others
References
Belcher R J, Burggraf O R & Stewartson K 1972J. Fluid Phys. 52 753
Bödewadt U T 1940Z. Angew. Math. Mech. 20 241
Burggraf O R, Stewartson K & Belcher R 1971Phys. Fluids 14 1821
Keller H B 1968Numerical methods for two-point boundary value problems (London: Blaisdell) p. 162
King W S & Lewellen W S 1964Phys. Fluids 7 1674
Kuo H L 1971J. Atmos. Sci. 28 20
Lewellen W S 1971 NASA CR-1772
Mack L 1962 Tech. Rep. No. 32-224, Jet Propulsion Laboratory, Pasadena, Calif., USA
Mallisaps K & Nydahl J E 1973Z. Angew. Math. Mech. 53 241
Moore F K 1956Advances in applied mechanics eds L Dryden, T von Karman and G Kuerti (New York: Academic Press) Vol. 4, p. 159
Morton B R 1966Progress in aeronautical science ed D Kucheman (Oxford: Pergamon Press) Vol. 7, p. 145
Nanbu K 1971AIAA J. 9 1642
Nath G & Venkatachala B J 1977Proc. Indian Acad. Sci. A85 332
Nguyen N D, Ribault J P & Florent P 1975J. Fluid Mech. 68 369
Riehl H 1954Tropical meteorology (New York: McGraw Hill)
Rott N & Lewellen W S 1966Progress in aeronautical science ed. D. Kucheman (Oxford: Pergamon Press) Vol. 7, p. 111
Schlichting H 1968Boundary-layer theory (New York: McGraw Hill) 6th ed. p. 213
Serrin J 1972Philos. Trans. R. Soc. London A270 325
Stewartson K & Troesch B A 1977Z. Angew. Math. Phys. 28 951
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Venkatachala, B.J., Nath, G. Mass transfer effects on the generalised vortex flow over a stationary surface with or without magnetic field. Proc. Indian Acad. Sci. (Engg. Sci.) 3, 211–223 (1980). https://doi.org/10.1007/BF02861561
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02861561