Abstract
Combined heat and mass transfer on free, forced, and mixed convection flow along a porous wedge with magnetic effect in the presence of chemical reaction is investigated. The flow field characteristics are analyzed by the Runge-Kutta-Gill scheme with the shooting method as well as the local non-similarity method up to the third level of truncation, which are used to reduce the governing partial differential equations into nine ordinary differential equations. The governing boundary layer equations are converted to a dimensionless form by Falkner-Skan transformations. Because of the effect of suction/injection on the wall of the wedge with buoyancy force and variable wall temperature, the flow field is locally non-similar. Numerical calculations up to the third order level of truncation are carried out as a special case for different values of dimensionless parameters. Effects of the magnetic field strength in the presence of chemical reaction with variable wall temperature and concentration on the dimensionless velocity, temperature and concentration profiles are shown graphically.
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References
Gebhart, B. and Pera, L. The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion. International Journal of Heat and Mass Transfer 14(2), 2025–2050 (1971)
Pera, L. and Gebhart, B. Natural convection boundary layer flow over horizontal and slightly inclined surfaces. International Journal of Heat and Mass Transfer 16(6), 1131–1146 (1973)
Chen, T. S., Yuh, C. F., and Moutsoglou, A. Combined heat and mass transfer in mixed convection along vertical and inclined plates. International Journal of Heat and Mass Transfer 23(4), 527–537 (1980)
Kandasamy, R. and Devi, S. P. A. Effects of chemical reaction, heat and mass transfer on non-linear laminar boundary-layer flow over a wedge with suction or injection. Journal of Computational and Applied Mechanics 5(1), 21–31 (2004)
Yih, K. A. MHD forced convection flow adjacent to non-isothermal wedge. International Communications in Heat and Mass Transfer 26(6), 819–827 (1999)
Watanabe, T., Funazaki, K., and Taniguchi, H. Theoretical analysis on mixed convection boundary layer flow over a wedge with uniform suction or injection. Acta Mechanica 105, 133–141 (1994)
Kafoussias, N. G. and Nanousis, N. D. Magnetohydrodynamic laminar boundary layer flow over a wedge with suction or injection. Canadian Journal of Physics 75, 733–745 (1997)
Sparrow, E. M., Quack, H., and Boerner, C. J. Local nonsimilarity boundary layer solution. AIAA Journal 8, 1936–1942 (1970)
Sparrow, E. M. and Yu, H. S. Local nonsimilarity thermal boundary layer solutions. Journal of Heat Transfer 93, 328–334 (1971)
Minkowycz, W. J. and Sparrow, E. M. Local nonsimilarity solutions for natural convection on a vertical cylinder. Journal of Heat Transfer 96, 178–183 (1974)
Novotny, J. L., Bankston, J. D., and Lloyd, J. R. Local nonsimilarity applied to free convection boundary layers with radiation interaction. Progress Astronaut Aeronaut 39, 309–330 (1975)
Mucoglu, A. and Chen, T. S. Mixed convection on inclined surfaces. Journal of Heat Transfer 101, 422–426 (1979)
Minkowycz, W. J. and Sparrow, E. M. Numerical solution scheme for local nonsimilarity boundary layer analysis. Numerical Heat Transfer 1, 69–85 (1978)
Kafoussias, N. G. and William, E. W. An improved approximation technique to obtain numerical solutions of a class of two-point boundary value similarity problems in fluid mechanics. International Journal for Numerical Methods in Fluids 17, 145–162 (1993)
Risbeck, W. R., Chen, T. S., and Armaly, B. F. Laminar mixed convection on horizontal flat plates with variable surface heat flux. International Journal of Heat and Mass Transfer 37, 699–704 (1994)
Hossain, M. A. and Nakayama, A. Non-Darcy free convection flow along a vertical cylinder embedded in a porous medium with surface mass flux. International Journal of Heat and Fluid Flow 14, 385–390 (1993)
Sparrow, E. M. and Yu, H. S. Local nonsimilarity thermal boundary-layer solutions. Journal of Heat Transfer-Transcations of the ASME 93, 328–332 (1971)
Hossain, M. A., Banu, N., and Nakayama, A. Non-Darcy forced convection flow over a wedge embedded in a porous medium. Numerical Heat Transfer Part A-Applications 26, 399–414 (1994)
Minkowycz, W. J., Sparrow, E. M., Schneider, G. E., and Pletcher, R. H. Handbook of Numerical Heat Transfer, John Wiley and Sons, New York (1988)
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Loganathan, P., Puvi-Arasu, P. & Kandasamy, R. Local non-similarity solution to impact of chemical reaction on MHD mixed convection heat and mass transfer flow over porous wedge in the presence of suction / injection. Appl. Math. Mech.-Engl. Ed. 31, 1517–1526 (2010). https://doi.org/10.1007/s10483-010-1380-8
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DOI: https://doi.org/10.1007/s10483-010-1380-8