Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (2): 139-152.doi: https://doi.org/10.1007/s10483-013-1659-8

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Viscous and Ohmic heating effects in doubly stratified free convective flow over vertical plate with radiation and chemical reaction

P. GANESAN R. K. SUGANTHI P. LOGANATHAN   

  1. Department of Mathematics, Anna University Chennai, Chennai 600025, India
  • 收稿日期:2012-01-26 修回日期:2012-07-26 出版日期:2013-02-03 发布日期:2013-01-22
  • 通讯作者: P. GANESAN, E-mail: ganesan@annauniv.edu E-mail:ganesan@annauniv.edu

Viscous and Ohmic heating effects in doubly stratified free convective flow over vertical plate with radiation and chemical reaction

P. GANESAN, R. K. SUGANTHI, P. LOGANATHAN   

  1. Department of Mathematics, Anna University Chennai, Chennai 600025, India
  • Received:2012-01-26 Revised:2012-07-26 Online:2013-02-03 Published:2013-01-22
  • Contact: P. GANESAN, E-mail: ganesan@annauniv.edu E-mail:ganesan@annauniv.edu

摘要:

An analysis is carried out to study the combined effects of viscous and Ohmic heating in the transient, free convective flow of a viscous, incompressible, and doubly stratified fluid past an isothermal vertical plate with radiation and chemical reactions. The governing boundary layer equations are solved numerically by an implicit finite difference scheme of the Crank-Nicolson type. The influence of different parameters on the velocity, the temperature, the concentration, the skin friction, the Nusselt number, and the Sherwood number is discussed with graphical illustrations. It is observed that an increase in either the thermal stratification or the mass stratification parameter decreases the velocity. An increase in the thermal stratification increases the concentration and decreases the temperature while an opposite effect is observed for an increase in the mass stratification. An augmentation in viscous and Ohmic heating increases the velocity and temperature while decreases the concentration. The results are found to be in good agreement with the existing solutions in literature.

关键词: radiation, pansystems, prediction, blow-up, singularity, break off, Ohmic dissipation, thermal stratification, viscous dissipation, mass stratification, chemical reaction

Abstract:

An analysis is carried out to study the combined effects of viscous and Ohmic heating in the transient, free convective flow of a viscous, incompressible, and doubly stratified fluid past an isothermal vertical plate with radiation and chemical reactions. The governing boundary layer equations are solved numerically by an implicit finite difference scheme of the Crank-Nicolson type. The influence of different parameters on the velocity, the temperature, the concentration, the skin friction, the Nusselt number, and the Sherwood number is discussed with graphical illustrations. It is observed that an increase in either the thermal stratification or the mass stratification parameter decreases the velocity. An increase in the thermal stratification increases the concentration and decreases the temperature while an opposite effect is observed for an increase in the mass stratification. An augmentation in viscous and Ohmic heating increases the velocity and temperature while decreases the concentration. The results are found to be in good agreement with the existing solutions in literature.

Key words: mass stratification, viscous dissipation, pansystems, prediction, blow-up, singularity, break off, chemical reaction, Ohmic dissipation, radiation, thermal stratification

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