Abstract
Sections 13.4 and 13.5 described the numerical method and computer program used to obtain the boundary-layer flow results of Chapters 4 to 12. The following four sections of this chapter describe the steps required to obtain results for four new problems, in sufficient detail that a reader may reproduce earlier results for him- or herself and make use of the program to solve new problems. It should be remembered that the program is limited to steady two-dimensional boundary-layer equations; it can, however, be extended to steady axisymmetric flows, and also to unsteady flows using the procedures described, for example, by Bradshaw et al. [1]. The accuracy of solutions can only be as good as the numerical approximations and physical assumptions; the Box scheme, with a reasonable choice of net spacing, guarantees second-order numerical accuracy, and the well-tested Cebeci-Smith model of turbulence has been shown to be adequate for a wide range of turbulent boundary-layer flows [2], though in difficult cases (for example, with turbulent buoyant flows) it may only give qualitatively correct results.
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References
Bradshaw, P., Cebeci, T., and Whitelaw, J. H.: Engineering Calculation Methods for Turbulent Flows. Academic, London, 1981.
Cebeci, T. and Smith A. M. O.: Analysis of Turbulent Boundary Layers. Academic, New York, 1974.
Cebeci, T., Khattab, A. A., and Lamont, R.: Combined natural and forced convection in vertical ducts. Proc. Seventh International Heat Transfer Conf., Munich, Germany, Hemisphere Publishing Co., Washington, 1982.
Isaacson, E. and Keller, H. B.: Analysis of Numerical Methods. Wiley, New York, 1966, p. 192.
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© 1988 Springer-Verlag New York Inc.
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Cebeci, T., Bradshaw, P. (1988). Applications of a Computer Program to Heat-Transfer Problems. In: Physical and Computational Aspects of Convective Heat Transfer. Physical and Computational Aspects of Convective Heat Transfer. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3918-5_14
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DOI: https://doi.org/10.1007/978-1-4612-3918-5_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96821-6
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