Approximate analytical solutions of a class of boundary layer equations over nonlinear stretching surface

• Published in: Applied mathematics and computation Vol. 218; no. 6; pp. 2952 - 2959
• Main Authors: Kudenatti, Ramesh B., Awati, Vishwanath B., Bujurke, N.M.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.11.2011
• Subjects: Asymptotic method; Asymptotic properties; Boundary layer equations; Differential equations; Dirichlet problem; Dirichlet series; Mathematical analysis; Mathematical models; Nonlinearity; Skin friction; Stretching; Stretching of variables; Stretching surface; Asymptotic method; Dirichlet series; Boundary layer equations; Stretching of variables; Stretching surface
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2011.08.049

Third order nonlinear ordinary differential equations, subject to appropriate boundary conditions arising in fluid dynamics, are solved using three different methods viz., the Dirichlet series, method of stretching of variables, and asymptotic function method. Similarity transformations are used to convert the governing partial differential equations into nonlinear ordinary differential equations. The numerical results obtained from the above methods for various problems are given in terms of skin friction. Our study revealed that the results obtained from these methods agree well with those of direct numerical simulation of ordinary differential equations. Also, these methods have advantages over pure numerical methods in obtaining derived quantities such as velocity profile accurately for various values of the parameters at a stretch.