2008 journal article

An exact analytical solution of the Falkner-Skan equation with mass transfer and wall stretching

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 43(9), 1000–1006.

By: T. Fang n  & J. Zhang n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: Similarity solution; Falkner-Skan equation; Stretching surface; Mass transfer; Analytical solution
Source: Web Of Science
Added: August 6, 2018

In this paper, an exact analytical solution of the famous Falkner-Skan equation is obtained. The solution involves the boundary layer flow over a moving wall with mass transfer in presence of a free stream with a power-law velocity distribution. Multiple solution branches are observed. The effects of mass transfer and wall stretching are analyzed. Interesting velocity profiles including velocity overshoot and reversal flows are observed in the presence of both mass transfer and wall stretching. These solutions greatly enrich the analytical solution for the celebrated Falkner-Skan equation and the understanding of this important and interesting equation.