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MHD stagnation-point flow past a stretching/shrinking sheet in the presence of heat generation/absorption and chemical reaction effects

  • N. Freidoonimehr
  • M. M. Rashidi
  • B. JalilpourEmail author
Technical Paper

Abstract

In this paper, an analytical method, the combination of differential transform method (DTM) and Padé approximant, called DTM-Padé, 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-Padé 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.

Keywords

MHD Stagnation-point flow Stretching/shrinking sheet Chemical reaction Heat generation/absorption DTM Padé approximant 

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2015

Authors and Affiliations

  • N. Freidoonimehr
    • 1
  • M. M. Rashidi
    • 2
    • 3
  • B. Jalilpour
    • 4
    Email author
  1. 1.Young Researchers and Elite Club, Hamedan BranchIslamic Azad UniversityHamedanIran
  2. 2.Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management SystemsTongji UniversityShanghaiChina
  3. 3.ENN-Tongji Clean Energy Institute of Advanced StudiesShanghaiChina
  4. 4.Department of Mechanical Engineering, Faculty of EngineeringUrmia UniversityUrmiaIran

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