Unsteady MHD forced flow due to a point sink
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An analysis is performed to study the unsteady laminar incompressible boundary-layer flow of an electrically conducting fluid in a cone due to a point sink with an applied magnetic field. The unsteadiness in the flow is considered for two types of motion, viz. the motion arising due to the free stream velocity varying continuously with time and the transient motion occurring due to an impulsive change either in the strength of the point sink or in the wall temperature. The partial differential equations governing the flow have been solved numerically using an implicit finite-difference scheme in combination with the quasilinearization technique. The magnetic field increases the skin friction but reduces heat transfer. The heat transfer and temperature field are strongly influenced by the viscous dissipation and Prandtl number. The velocity field is more affected at the early stage of the transient motion, caused by an impulsive change in the strength of the point sink, as compared to the temperature field. When the transient motion is caused by a sudden change in the wall temperature, both skin friction and heat transfer take more time to reach a new steady state. The transient nature of the flow and heat transfer is active for a short time in the case of suction and for a long time in the case of injection. The viscous dissipation prolongs the transient behavior of the flow.
- Choi, S. H., Wilhelm, H. E.: Self-similar magneto hydrodynamic diffuser flows with induced magnetic fields. Phys. Fluids20, 1821–1826 (1977).
- Rosenhead, L. (ed.): Laminar boundary-layers, pp 427–428. Oxford: Oxford University Press 1963.
- Ackerberg, R. C.: The viscous incompressible flow inside a cone. J. Fluid Mech.21, 47–81 (1965).
- Asatur, K. G., Kolton, G. A.: Laminar boundary-layer in an axisymmetric convergent duct. Fluid Mechanics (Soviet Research)20, 24–27 (1991).
- Takhar, H. S., Surma Devi, C. D., Nath, G.: MHD flow with heat and mass transfer due to a point sink. Ind. J. Pure Appl. Math.17, 1242–1247 (1986).
- Schercliff, J. A.: A textbook on MHD. Oxford: Pergamon Press 1967.
- Bellman, R. E., Kalaba, R. E.: Quasi-linearization and nonlinear boundary value problems. New York: Elsevier 1965.
- Inouye, K., Tate, A.: Finit-difference version of quasi-linearization applied to boundary-layer equations. A.I.A.A.J12, 558–560 (1974).
- Hildebrand, F. B.: Introduction to numerical analysis, p. 99. New York: McGraw-Hill 1974.
- Keller, H. B., Cebeci, T.: Accurate numerical methods for boundary-layer flows. II. Two-dimensional turbulent flows. A.I.A.A.J.10, 1193–1199 (1972).
- Cramer, K. R., Pai, S. I.: Magnetofluid dynamics for engineers and applied physicists. New York: McGraw-Hill 1973.
- Glauret, M. B.: A study of magnetohydrodynamic boundary-layer on a flat plate. J. Fluid Mech.10, 276–288 (1961).
- Schlichting, H.: Boundary-layer theory. New York: McGraw-Hill 1979.
- Unsteady MHD forced flow due to a point sink
Volume 145, Issue 1-4 , pp 159-172
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- 1. Department of Mathematics, Malnad College of Engineering, 573 201, Hasan, India
- 2. Department of Mathematics, Indian Institute of Technology, 036, Madras, Chennai, India
- 3. Department of Mathematics, Indian Institute of Science, 560 012, Bangalore, India