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Solving Blasius Equation with the Shooting Method

version 1.0.0 (1.99 KB) by Mohammad Alkhadra
This code solves the Blasius equation (third-order ordinary differential equation) for boundary layer flow over a flat plate.

1.7K Downloads

Updated 03 Nov 2018

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The equation we wish to solve is f''' + (1/2)*f*f'' with f(0) = 0, f'(0) = 0, f'(inf) = 1. This equation arises in the theory of fluid boundary layers, and must be solved numerically. We recast this problem as a system of first-order ODEs: y = [f; f'; f''] = [y(1); y(2); y(3)] so that dy/dEta = y' = [f'; f''; f'''] = [y(2); y(3); -(1/2)*y(1)*y(3)] with y(1)(0) = 0, y(2)(0) = 0, y(2)(inf) = 1. This new system of equations may then be solved numerically using the shooting method. For a description of this numerical method, please follow the given link: https://en.wikipedia.org/wiki/Shooting_method.

Cite As

Mohammad Alkhadra (2021). Solving Blasius Equation with the Shooting Method (https://www.mathworks.com/matlabcentral/fileexchange/69310-solving-blasius-equation-with-the-shooting-method), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2018b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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