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Non-Similar Boundary-Layer Flow, Fourth-Order Runge–Kutta Method, Backward Differentiation Formula ( Executable MATLAB Script Included

NUMERICAL SOLUTION OF NON-SIMILAR BOUNDARY-LAYER FLOW OVER A CYLINDER

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This paper presents ? numerical solution of a non-similar two-dimensional boundary-layer flow
over a cylinder. The assumptions and related two-dimensional flow equations are presented. The
fourth-order Runge-Kutta method with the backward differentiation formula (BDF) method to
separation point is implemented in the numerical solution using MATLAB software. Numerical
solution results are compared with well-known analytic solutions. Shear stress diagram, friction
ratio based on θ and x, and output results are illustrated. The results of numerical solution
demonstrate good consistency with analytic solutions.
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