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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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[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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