Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (11): 1327-1338.doi: https://doi.org/10.1007/s10483-013-1748-7

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Non-uniform slot suction/injection into mixed convection boundary layer flow over vertical cone

 R. RAVINDRAN,  M. GANAPATHIRAO   

  1. Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, Tamilnadu, India
  • 收稿日期:2012-11-05 修回日期:2013-06-03 出版日期:2013-11-03 发布日期:2013-11-01

Non-uniform slot suction/injection into mixed convection boundary layer flow over vertical cone

 R. RAVINDRAN,  M. GANAPATHIRAO   

  1. Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, Tamilnadu, India
  • Received:2012-11-05 Revised:2013-06-03 Online:2013-11-03 Published:2013-11-01

摘要:

The aim of this work is to study the effect of non-uniform single and double slot suction/injection into a steady mixed convection boundary layer flow over a vertical cone, while the axis of the cone is inline with the flow. The governing boundary layer equations are transformed into a non-dimensional form by a group of non-similar transformations. The resulting coupled non-linear partial differential equations are solved numerically by employing the quasi-linearization technique and an implicit finite-difference scheme. Numerical computations are performed for different values of the dimensionless parameters to display the velocity and temperature profiles graphically. Also, numerical results are presented for the skin friction and heat transfer coefficients. Results indicate that the skin friction and heat transfer coefficients increase with non-uniform slot suction, but the effect of non-uniform slot injection is just opposite.

关键词: non-uniform slot suction, single and double slot, surface mass transfer, vertical cone, mixed convection

Abstract:

The aim of this work is to study the effect of non-uniform single and double slot suction/injection into a steady mixed convection boundary layer flow over a vertical cone, while the axis of the cone is inline with the flow. The governing boundary layer equations are transformed into a non-dimensional form by a group of non-similar transformations. The resulting coupled non-linear partial differential equations are solved numerically by employing the quasi-linearization technique and an implicit finite-difference scheme. Numerical computations are performed for different values of the dimensionless parameters to display the velocity and temperature profiles graphically. Also, numerical results are presented for the skin friction and heat transfer coefficients. Results indicate that the skin friction and heat transfer coefficients increase with non-uniform slot suction, but the effect of non-uniform slot injection is just opposite.

Key words: crack, harmonic waves, dual integral equations, intensity factor, mixed convection, magneto-electro-elastic composites, vertical cone, surface mass transfer, single and double slot, non-uniform slot suction

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