Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (7): 899-910.doi: https://doi.org/10.1007/s10483-012-1593-8

• 论文 • 上一篇    下一篇

MHD flow and mass transfer of chemically reactive upper convected Maxwell fluid past porous surface

K. VAJRAVELU1, K. V. PRASAD2, A. SUJATHA2, 吴朝安3   

  1. 1. Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA;
    2. Department of Mathematics, Bangalore University, Bangalore 560001, lndia;
    3. Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, P. R. China
  • 收稿日期:2011-07-18 修回日期:2012-01-23 出版日期:2012-07-10 发布日期:2012-07-10
  • 通讯作者: Chiu-on NG, Professor, Ph.D., E-mail: cong@hku.hk E-mail:cong@hku.hk
  • 基金资助:

    Project supported by the Research Grants Council of the Hong Kong Special Administrative Region of China (No.HKU 715510E)

MHD flow and mass transfer of chemically reactive upper convected Maxwell fluid past porous surface

K. VAJRAVELU1, K. V. PRASAD2, A. SUJATHA2, Chiu-on NG3   

  1. 1. Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA;
    2. Department of Mathematics, Bangalore University, Bangalore 560001, lndia;
    3. Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, P. R. China
  • Received:2011-07-18 Revised:2012-01-23 Online:2012-07-10 Published:2012-07-10
  • Supported by:

    Project supported by the Research Grants Council of the Hong Kong Special Administrative Region of China (No.HKU 715510E)

摘要:

The magnetohydrodynamic (MHD) flow and mass transfer of an electrically conducting upper convected Maxwell (UCM) fluid at a porous surface are studied in the presence of a chemically reactive species. The governing nonlinear partial differential equations along with the appropriate boundary conditions are transformed into nonlinear ordinary differential equations and numerically solved by the Keller-box method. The effects of various physical parameters on the flow and mass transfer characteristics are graphically presented and discussed. It is observed that the order of the chemical reaction is to increase the thickness of the diffusion boundary layer. Also, the mass transfer rate strongly depends on the Schmidt number and the reaction rate parameter. Furthermore, available results in the literature are obtained as a special case.

关键词: Keller-box method, mag-netohydrodynamic (MHD) flow, lateral horizontal well, large deflection, drill string, stress, strength, equilibrium differential equati, chemically reactive species, upper convected Maxwell (UCM) fluid, mass transfer

Abstract:

The magnetohydrodynamic (MHD) flow and mass transfer of an electrically conducting upper convected Maxwell (UCM) fluid at a porous surface are studied in the presence of a chemically reactive species. The governing nonlinear partial differential equations along with the appropriate boundary conditions are transformed into nonlinear ordinary differential equations and numerically solved by the Keller-box method. The effects of various physical parameters on the flow and mass transfer characteristics are graphically presented and discussed. It is observed that the order of the chemical reaction is to increase the thickness of the diffusion boundary layer. Also, the mass transfer rate strongly depends on the Schmidt number and the reaction rate parameter. Furthermore, available results in the literature are obtained as a special case.

Key words: lateral horizontal well, large deflection, drill string, stress, strength, equilibrium differential equati, upper convected Maxwell (UCM) fluid, mass transfer, chemically reactive species, Keller-box method, mag-netohydrodynamic (MHD) flow

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals