Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Solving Prandtl-Blasius Boundary Layer Equation Using Maple

Version 1 : Received: 12 August 2020 / Approved: 13 August 2020 / Online: 13 August 2020 (08:32:24 CEST)
Version 2 : Received: 4 September 2020 / Approved: 5 September 2020 / Online: 5 September 2020 (09:33:32 CEST)

How to cite: Sun, B. Solving Prandtl-Blasius Boundary Layer Equation Using Maple. Preprints 2020, 2020080296 (doi: 10.20944/preprints202008.0296.v2). Sun, B. Solving Prandtl-Blasius Boundary Layer Equation Using Maple. Preprints 2020, 2020080296 (doi: 10.20944/preprints202008.0296.v2).

Abstract

A solution for the Prandtl-Blasius equation is essential to all kinds of boundary layer problems. This paper revisits this classic problem and presents a general Maple code as its numerical solution. The solutions were obtained from the Maple code, using the Runge-Kutta method. The study also considers convergence radius expanding and an approximate analytic solution is proposed by curve fitting. Similarly, the study resolves some boundary layer related problems and provide relevant Maple codes for these.

Subject Areas

Prandtl boundary layer; Prandtl-Blasius equation; numerical solution; Runge-Kutta method; Maple

Comments (1)

Comment 1
Received: 5 September 2020
Commenter: Bohua Sun
Commenter's Conflict of Interests: Author
Comment: Add more solutions to Blasius related problems, almost includes all laminar boundary problems are discussed in the book of H. Schlichting and K. Gersten’s book, namely Boundary Layer Theory, 8th ed. 2000.
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