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2007, 2

Faiz Ahmad

Application of Crocco-Wang equation to the Blasius problem

language: English

received 04.12.2006, published 22.01.2007

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ABSTRACT

Navier-Stokes problem for a boundary layer can be transformed, by a similarity transformation, into the Blasius problem which is governed by a non-linear ordinary differential equation of order three. Since it is simpler to solve an ordinary differential equation, this transformation leads to an easy evaluation of physical parameters such as the drag and the thickness of the boundary layer. Crocco and independently Wang further transformed this problem to one which is governed by a second order differential equation. In this paper this problem is solved by a classical method and the solution is used to derive two sequences, the first an increasing sequence and the second a decreasing sequence, both converging to the unknown second derivative, at the origin, of the solution to the Blasius equation. Also an asymptotic expression for the solution is obtained.

Keywords: Blasius equation, Crocco-Wang equation, Adomian decomposition method, Newton's method, asymptotic solution.

11 pages

Сitation: Faiz Ahmad. Application of Crocco-Wang equation to the Blasius problem. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2007, 2.

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Faiz Ahmad was born in Pakistan on 15 March, 1946. He received his education at the University of Punjab (Pakistan) and the University of Manchester (England). He received his Ph.D. in 1972. He has taught at the Quaid-i-Azam University, Islamabad (Pakistan), Al-Fateh University, Tripoli (Libya) and King Abdulaziz University, Jeddah (Saudi Arabia).