Blasius Differential Equation

The third-order ordinary differential equation

This equation arises in the theory of fluid boundary layers, and must be solved numerically (Rosenhead 1963; Schlichting 1979; Tritton 1989, p. 129). The velocity profile produced by this differential equation is known as the Blasius profile.

REFERENCES:

Meyer, G. H. Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding. New York: Academic Press, 1973.

Rosenhead, L. (Ed.). Laminar Boundary Layers. Oxford, England: Oxford University Press, 1963.

Schlichting, H. Boundary Layer Theory, 7th ed. New York: McGraw-Hill, 1979.

Tritton, D. J. Physical Fluid Dynamics, 2nd ed. Oxford, England: Clarendon Press, p. 129, 1989.

Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 128, 1997.