Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (10): 1253-1272.doi: https://doi.org/10.1007/s10483-015-1982-9

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Unsteady mixed convection flow over stretching sheet in presence of chemical reaction and heat generation or absorption with non-uniform slot suction or injection

R. RAVINDRAN, N. SAMYUKTHA   

  1. Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, India
  • 收稿日期:2014-12-04 修回日期:2015-05-05 出版日期:2015-10-01 发布日期:2015-10-01
  • 通讯作者: R. RAVINDRAN E-mail:raviwits@gmail.com

Unsteady mixed convection flow over stretching sheet in presence of chemical reaction and heat generation or absorption with non-uniform slot suction or injection

R. RAVINDRAN, N. SAMYUKTHA   

  1. Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, India
  • Received:2014-12-04 Revised:2015-05-05 Online:2015-10-01 Published:2015-10-01
  • Contact: R. RAVINDRAN E-mail:raviwits@gmail.com

摘要: The article examines the unsteady mixed convection flow over a vertical stretching sheet in the presence of chemical reaction and heat generation or absorption with non-uniform mass transfer. The unsteadiness is caused by the time dependent free stream velocity varying arbitrarily with time. Non-similar solutions are obtained numerically by solving the coupled nonlinear partial differential equations using the quasilinearization technique in combination with an implicit finite difference scheme. To reveal the tendency of the solutions, typical results for the local skin friction coefficient and the local Nusselt and Sherwood numbers are presented for different values of parameters. The effects of various parameters on the velocity, temperature, and concentration distributions are discussed here. The present numerical results are compared with the previously published work, and the results are found to be in excellent agreement.

关键词: unsteady mixed convection, stretching sheet, heat generation, chemical reaction, non-uniform slot suction, non-similar solution

Abstract: The article examines the unsteady mixed convection flow over a vertical stretching sheet in the presence of chemical reaction and heat generation or absorption with non-uniform mass transfer. The unsteadiness is caused by the time dependent free stream velocity varying arbitrarily with time. Non-similar solutions are obtained numerically by solving the coupled nonlinear partial differential equations using the quasilinearization technique in combination with an implicit finite difference scheme. To reveal the tendency of the solutions, typical results for the local skin friction coefficient and the local Nusselt and Sherwood numbers are presented for different values of parameters. The effects of various parameters on the velocity, temperature, and concentration distributions are discussed here. The present numerical results are compared with the previously published work, and the results are found to be in excellent agreement.

Key words: chemical reaction, non-uniform slot suction, unsteady mixed convection, stretching sheet, heat generation, non-similar solution

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