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A non-iterative transformation method for Blasius equation with moving wall or surface gasification
Institution:1. COMIMSA, Corporación Mexicana de Investigación en Materiales, Ciencia y Tecnología No. 790, Fracc. Saltillo 400, C. P. 25290, Saltillo, Coah., Mexico;2. CIIDIT, Centro de Innovación, Investigación y Desarrollo en Ingeniería y Tecnología, Universidad Autónoma de Nuevo León, Nueva carretera al Aeropuerto Internacional de Monterrey, Km. 10 Apodaca, Nuevo León, Mexico;1. University of Oslo, Department of Mathematics, Oslo, Norway;2. Norwegian Geotechnical Institute, Oslo, Norway;3. University of Washington, Department of Applied Mathematics, Seattle, USA;1. Acoustics & Vibration Unit, School of Engineering and Information Technology, The University of New South Wales Canberra, Canberra, ACT 2600, Australia;2. Centre for Audio, Acoustics and Vibration, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW 2007, Australia;1. Wisconsin School of Business, Department of Finance, United States;2. Citigroup, United States
Abstract:We define a non-iterative transformation method for Blasius equation with moving wall or surface gasification. The defined method allows us to deal with classes of problems in boundary layer theory that, depending on a parameter, admit multiple or no solutions. This approach is particularly convenient when the main interest is on the behaviour of the considered models with respect to the involved parameter. The obtained numerical results are found to be in good agreement with those available in the literature.
Keywords:Blasius equation  Non-iterative transformation method  BVPs on infinite intervals  Moving wall  Surface gasification
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