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.
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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. Referenced on Wolfram|Alpha Blasius Differential Equation
Cite this as:
Weisstein, Eric W. "Blasius Differential Equation."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/BlasiusDifferentialEquation.html
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