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Combined heat and mass transfer in natural convection flow from a vertical wavy surface. (English) Zbl 0934.76085
Summary: The effects of combined buoyancy forces from mass and thermal diffusion by natural convection flow from a vertical wavy surface have been investigated using the implicit finite difference method. We focus our attention on the evolution of the surface shear stress, $$f''(0)$$, rate of heat transfer, $$g'(0)$$, and surface concentration gradient, $$h'(0)$$ with effect of different values of governing parameters, such as the Schmidt numbers Sc ranging from 7 to 1500 which are appropriate for different species concentration in water ($$Pr= 7.0$$), the amplitude of the waviness of the surface ranging from 0.0 to 0.4, and the buoyancy parameter $$w$$ ranging from 0.0 to 1.

MSC:
 76R10 Free convection 76M20 Finite difference methods applied to problems in fluid mechanics 80A20 Heat and mass transfer, heat flow (MSC2010)
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References:
 [1] Gebhard, B., Jaluria, Y., Mahajan, R. L., Sammakia, B.: Buoyancy-induced flow and transport. Washington: Hemisphere, 1988. · Zbl 0699.76001 [2] Khair, K. R., Bejan, A.: Mass transfer to natural convection boundary layer flow driven by heat transfer. Int. J. Heat Mass Transfer30, 369-376 (1985). · Zbl 0564.76085 [3] Lin, H.-T., Wu, C.-M.: Combined heat and mass transfer by laminar natural convection from a vertical plate. Heat Mass Transfer30, 369-376 (1995). · doi:10.1007/BF01647440 [4] Lin, H.-T., Wu, C.-M.: Combined heat and mass transfer by laminar natural convection from a vertical plate with uniform heat flux and concentrations. Heat Mass Transfer32, 293-299 (1997). · doi:10.1007/s002310050124 [5] Mongruel, A., Cloitre, M., Allain, C.: Scaling of boundary layer flows driven by double-diffusive convection. Int. J. Heat Mass Transfer39, 3899-3910 (1996). · Zbl 0968.76597 · doi:10.1016/0017-9310(96)00054-3 [6] Yao, S. L.: Natural convection along a vertical wavy surface. J. Heat Transfer105, 465-468 (1983). · doi:10.1115/1.3245608 [7] Moulic, S. G., Yao, L. S.: Natural convection along a wavy surface with uniform heat flux. J. Heat Transfer111, 1106-1108 (1989). · doi:10.1115/1.3250780 [8] Hossain, M. A., Pop, I.: Magnetohydrodynamic boundary layer flow and heat transfer on a continuous moving wavy surface. Arch. Mech.48, 813-823 (1996). · Zbl 0877.76079 [9] Hossain, M., Alam, K. C. A., Rees, D. A. S.: Magnetohydrodynamic free convection along a vertical wavy surface. Appl. Mech. Eng.1, 555-566 (1997). · Zbl 0890.76076 [10] Rees, D. A. S.: Pop, I.: Free convection induced by a vertical wavy surface with uniform heat transfer flux in a porous medium. J. Heat Transfer117, 545-550 (1995). · doi:10.1115/1.2822565 [11] Keller, B.: Numerical methods in boundary layer theory. Ann. Rev. Fluid Mech.10, 417-481 (1978). · doi:10.1146/annurev.fl.10.010178.002221
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