Magneto hydrodynamic flow with viscous dissipation effects in the presence of suction and injection

• Autorzy: Chandrasekar M. , Kasiviswanathan M. S.

Identyfikatory

DOI

10.15632/jtam-pl.53.1.93

• Języki publikacji: EN

Abstrakty

EN

Gyarmati’s variational principle developed on the thermodynamic theory of irreversible processes is employed to study the viscous dissipation effects with uniform suction and injection on the infinite flat plate. The velocity and temperature fields inside the boundary layer are approximated as simple polynomial functions, and the functional of the variational principle is constructed. The Euler Lagrange equations are reduced to simple polynomial equations in terms of velocity and thermal boundary layer thicknesses. The velocity, temperature pro- files, skin friction and heat transfer with the viscous dissipation effects are analyzed and are compared with known numerical solutions. The comparison of the present solution with the existing solutions establishes the fact that the accuracy is remarkable.

Słowa kluczowe

EN

irreversible processes; velocity and temperature functions; viscous dissipation; suction and injection

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2015
• Tom: Vol. 53 nr 1
• Strony: 93--107
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Chandrasekar M.

• Department of Mathematics, Anna University, Chennai, India

autor

Kasiviswanathan M. S.

• Department of Mathematics, Anna University, Chennai, India

Bibliografia

• 1. Anjali Devi S.P., Kandasamy R., 2003, Thermal stratification effects on nonlinear MHD laminar boundary layer flow over a wedge with suction/injection, International Communications in Heat and Mass Transfer, 30, 717-725
• 2. Ariel P.D., 1994, Hiemenz flow in hydromagnetics, Acta Mechanica, 103, 31-43
• 3. Chamkha A.J., 1998, Hydromagnetic mixed convection stagnation flow with suction and blowing, International Communications in Heat and Mass Transfer, 25, 417-426
• 4. Chandrasekar M., 1998, Thermodynamical modeling of boundary layer flow with suction and injection, ASME Journal of Applied Mechanics, 65, 3, 764-768
• 5. Chandrasekar M., 2003, Analytical study of heat transfer on boundary layer flow with suction and injection, Heat and Mass Transfer, 30, 157-165
• 6. Chandrasekar M., Baskaran S., 2006, Modeling and analytical solution to heat transfer and boundary layer flow with suction and injection, Journal of Non-Equilibrium Thermodynamics, 31, 153-171
• 7. Chandrasekar M., Baskaran S., 2007, Thermodynamical modeling of viscous dissipation in magnetohydrodynamic flow, Theoretical and Applied Mechanics, 34, 3, 197-219
• 8. Gyarmati I., 1969, On the governing principle of dissipative processes and its extension to non linear problems, Annals of Physics, 23, 353-378
• 9. Gyarmati I., 1970, Non Equilibrium Thermodynamics: Field Theory and Variational Principles, Springer-Verlag, Berlin
• 10. Hossain M.A., 1992, Viscous and joule heating effects on MHD free convection flow with variable plate temperature, International Journal of Heat and Mass Transfer, 35, 3485-3487
• 11. Ingham D.B., 1979, MHD flows in the presence of a transverse magnetic field, Nuclear Engineering and Design, 52, 325-329
• 12. Lin H.T., Lin L.K., 1987, Similarity solution for laminar forced convection heat transfer from wedges to fluids of any Prandtl number, International Journal of Heat and Mass Transfer, 30, 1111-1118
• 13. Onsagar L., 1931, Reciprocal relations in irreversible processes-I, Physical Review, 37, 405-426
• 14. Onsagar L., 1931, Reciprocal relations in irreversible processes-II, Physical Review, 38, 2265-2279
• 15. Raptis A.A., 1991, MHD Asymmetric flow in the presence of diffusion, W¨arme-und Stoff¨ubertragung, 26, 193-194
• 16. Soundalgekar V.M., Takhar H.S., 1977, On MHD flow and heat transfer over a semi-infinite plate under transverse magnetic field, Nuclear Engineering and Design, 42, 233-236
• 17. Sparrow E.M., Eckert E.R.G., Minkowycz W.J., 1963, Transpiration cooling in a MHD stagnation point flow, Applied Scientific Research, A11, 125-147
• 18. Vincze G., 1971, Deduction of the quasi-linear transport equations of hydrodynamics from the Gyarmati’s principle, Annals of Physics, 27, 225-236
• 19. Watanabe T., 1978, Magnetohydrodynamic stability of boundary layers along a flat plate in the presence of a transverse magnetic field, ZAMM, 58, 555-560
• 20. Watanabe T., 1986, Magnetohydrodynamic stability of boundary layers along a flat plate with pressure gradient, Acta Mechanica, 65, 41-50
• 21. Watanabe T., 1990, Thermal boundary layers over a wedge with uniform suction/injection in forced flow, Acta Mechanica, 83, 119-126
• 22. Watanabe T., Pop I., 1993, Magnetohydrodynamic free convection flow over wedge in the presence of a transverse magnetic field, International Communications in Heat and Mass Transfer, 20, 871-881
• 23. Watanabe T., Pop I., 1994, Thermal boundary layer in Magnetohydrodynamic flow over a flat plate in the presence of a transverse magnetic field, Acta Mechanica, 105, 233-238
• 24. Yih K.A., 1998, Uniform suction/blowing effect on forced convection about a wedge: uniform heat flux, Acta Mechanica, 128, 173-181
• 25. Yih K.A., 1999, MHD forced convection flow adjacent to a non-isothermal wedge, International Communications in Heat and Mass Transfer, 26, 6, 819-827