An efficient numerical method to solve the Falkner-Skan problem over an isothermal moving wedge. Issue 9 (19th September 2018)

• Record Type: Journal Article
• Authors: Delkhosh, Mehdi; Parand, Kourosh; Ganji, D.D.
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 28:Issue 9(2018)
• Page Start: 2132
• Page End: 2157
• Publication Date: 2018-09-19
• Subjects: Boundary layer flow -- Moving wedge -- Entropy generation rate -- Fractional order of rational Chebyshev functions -- Nonlinear ODE -- Quasilinearization method; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-11-2017-0480
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: This paper aims to solve the Falkner–Skan problem over an isothermal moving wedge using the combination of the quasilinearization method and the fractional order of rational Chebyshev function (FRC) collocation method on a semi-infinite domain. Design/methodology/approach: The quasilinearization method converts the equation into a sequence of linear equations, and then by using the FRC collocation method, these linear equations are solved. The governing nonlinear partial differential equations are reduced to the nonlinear ordinary differential equation by similarity transformations. Findings: The entropy generation and the effects of the various parameters of the problem are investigated, and various graphs for them are plotted. Originality/value: Very good approximation solutions to the system of equations in the problem are obtained, and the convergence of numerical results is shown by using plots and tables.