## Boundary layer flow and heat transfer on a continuous moving wavy surface.(English)Zbl 0856.76017

Summary: The effect of spatially stationary surface waves on the forced convection induced by a moving surface in an otherwise quiescent fluid is examined. We consider the boundary layer regime where the Reynolds number is very large, and assume that the surface waves have $$O(1)$$ amplitude and wavelength. The boundary layer approximation is valid and the resulting parabolic equations are solved using the Keller-box scheme. Detailed results for the local skin-friction coefficient are presented, as are results for the local Nusselt number for both the cases of a constant wall temperature and a constant wall heat flux.

### MSC:

 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 80A20 Heat and mass transfer, heat flow (MSC2010)
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### References:

 [1] Sakiadis, B. C.: Boundary layers on continuous solid surfaces. A.I.Ch.E. J.7, 26-28 (1961). [2] Tsou, F. K., Sparrow, E. M., Goldstein, R. J.: Flow and heat transfer in the boundary layer on a continuous moving surface. Int. J. Heat Mass Transfer10, 219-235 (1967). [3] Crane, L.: Flow past a stretching plate. Z. Angew. Math. Phys.21, 645-647 (1970). [4] Kuiken, H. K.: On boundary-layers in fluid mechanics that decay algebraically along stretches of walls that are not vanishingly small. Inst. Math. Appl. J. Appl. Math.27, 387-405 (1981). · Zbl 0472.76045 [5] Caponi, E. A., Fornberg, B., Knight, D. D., McLean, J. W., Saffman, P. G., Yuen, H. C.: Calculations of laminar viscous flow over a moving wavy surface. J. Fluid Mech.124, 345-362 (1982). · Zbl 0521.76030 [6] Banks, W. H. H.: Similarity solutions of the boundary-layer equations for a stretching wall. J. M?c. Th?or. Appl.2, 375-392 (1983). · Zbl 0538.76039 [7] Banks, W. H. H., Zaturska, M. B.: Eigensolutions in boundary-layer flow adjacent to a stretching wall. Inst. Math. Appl. J. Appl. Math.36, 263-273 (1986). · Zbl 0619.76011 [8] Jeng, D. R., Cang, T. C., DeWitt, K. J.: Momentum and heat transfer on a continuous moving surface. J. Heat Transfer108, 532-539 (1986). [9] Karwe, M. V., Jaluria, Y.: Thermal transport from a heated moving surface. J. Heat Transfer108, 728-733 (1986). [10] B?hler, K., Zierep, J.: Instation?re Plattenstr?mung mit Absaugung und Ausblasen. ZAMM70, 589-590 (1990). [11] Ingham, D. B., Pop, I.: Forced flow in a right-angled corner: higher-order theory. Eur. J. Mech., B/Fluids10, 313-331 (1991). · Zbl 0741.76014 [12] Takhar, H. S., Nitu, S., Pop, I.: Boundary layer flow due to a moving plate: variable fluid properties. Acta Mech.90, 37-42 (1991). · Zbl 0753.76149 [13] Pop, I., Watanabe, T.: The effects of suction or injection in boundary layer flow and heat transfer on a continuous moving surface. Techn. Mechanik13, 49-54 (1992). [14] Andersson, H. I.: MHD flow of a viscoelastic fluid past a stretching surface. Acta Mech.95, 227-230 (1992). · Zbl 0753.76192 [15] Zierep, J., B?hler, K.: Beschleunigte/verz?gerte Platte mit homogenem Ausblasen/Absaugen. ZAMM73, T527-T529 (1993). [16] Rees, D. A. S., Pop, I.: A note on free convection along a vertical sinusoidally wavy surface in a porous medium. J. Heat Transfer116, 505-507 (1994). [17] Rees, D. A. S., Pop, I.: Free convection induced by a vertical wavy surface with uniform heat flux in a porous medium. J. Heat Transfer (to appear).
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