Finite-Difference Solution of Boundary-Layer Equations

  • Tuncer Cebeci
  • Peter Bradshaw


In this chapter we consider the finite-difference solution of the thin-shearlayer equations presented in previous chapters. In Section 13.1 we present a brief review of finite-difference techniques, discussing the relative advantages of implicit and explicit methods. As a result, the implicit Box scheme is preferred, and its use in internal and external flows is described in detail in Sections 13.2 to 13.5.


Velocity Profile Nusselt Number Energy Equation Wall Temperature Fortran Program 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Cebeci, T. and Bradshaw, P.: Momentum Transfer in Boundary Layers. Hemisphere, Washington, DC, 1977.MATHGoogle Scholar
  2. [2]
    Crank, J and Nicolson, P.: A practical method for numerical evaluation of solutions of partial-differential equations of the heat-conduction type. Proc. Camb. Phil. Soc. 43: 50 (1947).MathSciNetADSMATHCrossRefGoogle Scholar
  3. [3]
    Keller, H. B.: A new difference scheme for parabolic problems, in Numerical Solution of Partial-Differential Equations (J. Bramble, ed.), Vol. II. Academic, New York, 1970.Google Scholar
  4. [4]
    Sellars, J. R., Tribus, M., and Klein, J. S.: Heat transfer to laminar flow in a round tube or flat conduit—The Graetz Problem extended. Trans ASME 78: 441 (1956).Google Scholar
  5. [5]
    Bradshaw, P., Cebeci, T., and Whitelaw, J. H.: Engineering Calculation Methods for Turbulent Flows. Academic, London, 1981.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Tuncer Cebeci
    • 1
    • 2
  • Peter Bradshaw
    • 3
  1. 1.Douglas Aircraft CompanyLong BeachUSA
  2. 2.Department of Mechanical EngineeringCalifornia State University, Long BeachLong BeachUSA
  3. 3.Department of AeronauticsImperial College of Science and TechnologyLondonEngland

Personalised recommendations