MHD stagnation-point flow past a stretching/shrinking sheet in the presence of heat generation/absorption and chemical reaction effects
| Autor: | B. Jalilpour, Mohammad Mehdi Rashidi, Navid Freidoonimehr |
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| Rok vydání: | 2015 |
| Předmět: |
Materials science
Partial differential equation 020209 energy Mechanical Engineering Applied Mathematics Schmidt number Prandtl number General Engineering Aerospace Engineering Thermodynamics Laminar flow 02 engineering and technology Mechanics Industrial and Manufacturing Engineering Physics::Fluid Dynamics Nonlinear system symbols.namesake Heat generation Automotive Engineering 0202 electrical engineering electronic engineering information engineering symbols Fluid dynamics Boundary value problem |
| Zdroj: | Journal of the Brazilian Society of Mechanical Sciences and Engineering. 38:1999-2008 |
| ISSN: | 1806-3691 1678-5878 |
| Popis: | In this paper, an analytical method, the combination of differential transform method (DTM) and Pade approximant, called DTM-Pade, is employed to solve the fluid flow and heat and mass transfer for an incompressible steady laminar MHD stagnation-point flow over a stretching/shrinking sheet in the presence of the heat generation/absorption and chemical reaction effects. This method is applied to give analytical solutions of nonlinear ordinary differential equations with boundary conditions at infinity. Using similarity variables, the governing nonlinear partial differential equations are converted into a system of coupled nonlinear ordinary differential equations. The current DTM-Pade solution demonstrates a very good correlation with those of the fourth-order Runge–Kutta integration numerical technique as well as the previously published study results in the special cases. Effects of controlling parameters, including magnetic parameter, Prandtl number, heat source/sink parameter, Schmidt number, reaction rate parameter, suction/injection parameter, and velocity ratio parameter, are investigated on the dimensionless velocity, temperature and concentration profiles. |
| Databáze: | OpenAIRE |
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