In this study, Prandtl’s transposition theorem is used to stretch the ordinary coordinate-system in certain direction. The small wavy surface can be transferred into a calculable plane coordinate-system. The new governing equations of turbulent forced convection along wavy surface are derived from complete Navier–Stokes equations. A simple transformation is proposed to transform the governing equations into boundary layer equations for solution by the cubic spline collocation method. The effects such as the wavy geometry, the local skin-friction and Nusselt number are studied. The results of the simulation show that it is more significant to increase heat transfer with small wavy surface than plat surface.
Issue Section:
Technical Briefs
References
1.
Yao
, L. S.
, 1983, “Natural Convection Along a Vertical Wavy Surface
,” ASME J. Heat Transfer
, 105
, pp.465
–468
.2.
Yao
, L. S.
, 1988, “A Note on Prandtl’s Transposition Theorem
,” ASME J. Heat Transfer
, 100
, pp.507
–508
.3.
Moulic
, S. G.
, and Yao
, L. S.
, 1989, “Natural Convection Along a Vertical Wavy Surface With Uniform Heat Flux
,” ASME J. Heat Transfer
, 111
, pp.1106
–1108
.4.
Moulic
, S. G.
, and Yao
, L. S.
, 1989, “Mixed Convection Along a Vertical Wavy Surface
,” ASME J. Heat Transfer
, 111
, pp.974
–978
.5.
Yao
, L. S
, 2006, “Natural Convection Along a Vertical Complex Wavy Surface
,” Int. J. Heat Mass Transfer
, 49
, pp.281
–286
.6.
Wang
, C. C.
, and Chen
, C. K.
, 2002, “Forced Convection in a Wavy-Wall Channel
,” Int. J. Heat Mass Transfer
, 45
, pp.2587
–2595
.7.
Wang
, C. C.
, and Chen
, C. K.
, 2000, “Forced Convection in Micropolar Fluid Flow Over a Wavy Surface
,” Numer. Heat Transfer
, 37
, pp.271
–279
.8.
Wang
, C. C.
, and Chen
, C. K.
, 2001, “Transient Force and Free Convection Along a Vertical Wavy Surface in Micropolar Fluids
,” Int. J. Heat Mass Transfer
, 44
, pp.3241
–3251
.9.
Lien
, F. S.
, Chen
, T. M.
, and Chen
, C. K.
, 1990, “Analysis of a Free-Convection Micropolar Boundary Layer About a Horizontal Permeable Cylinder at a Non-Uniform Thermal Condition
,” ASME J. Heat Transfer
, 112
, pp.504
–506
.10.
Lien
, F. S.
, Chen
, C. K.
, and Cleaver
, J. W.
, 1986, “Analysis of Natural Convection Flow of Micropolar Fluid About a Sphere With Blowing and Suction
,” ASME J. Heat Transfer
, 108
, pp.967
–970
.11.
Yang
, Y. T.
, Chen
, C. K.
, and Lin
, M. T.
, 1996, “Natural Convection of Non-Newtonian Fluids Along a Wavy Vertical Plate Including the Magnetic Field Effect
,” Int. J. Heat Mass Transfer
, 39
, pp.2831
–2842
.12.
Chen
, C. K.
, Yang
, Y. T.
, and Lin
, M. T.
, 1996, “Transient Free Convection of Non-Newtonian Fluids Along a Wavy Vertical Plate Including the Magnetic Field Effect
,” Int. J. Heat Fluid Flow
, 17
, pp.604
–612
.13.
Char
, M. I.
, and Chen
, C. K.
, 1988, “Temperature Field in Non-Newtonian Flow Over a Stretching Plate With Variable Heat Flux
,” Int. J. Heat Mass Transfer
, 31
, pp.917
–921
.14.
Wang
, C. C.
, and Chen
, C. K.
, 2002, “Mixed Convection Boundary Layer Flow of Non-Newtonian Fluids Along Vertical Wavys Plates
,” Int. J. Heat Fluid Flow
, 23
, pp.831
–839
.15.
Rubin
, S. G.
, and Graves
, R. A.
, 1975, “Viscous Flow Solution With a Cubic Spline Approximation
,” Comput. Fluids
, 1
, pp.1
–36
.16.
Wang
, P.
, and Kahawita
, R.
, 1983, “Numerical Integration of Partial Differential Equations Using Cubic Spline
,” Int. J. Comput. Math.
, 13
, pp.271
–286
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