Effect of chemical reaction, heat and mass transfer on nonlinear boundary layer past a porous shrinking sheet in the presence of suction

This work is concerned with the viscous flow due to a shrinking sheet in the presence of suction with variable stream conditions. The cases of two-dimensional and axisymmetric shrinking have been discussed. The governing partial differential equations of the problem, subjected to their boundary conditions, are solved numerically by applying an efficient solution scheme for local nonsimilarity boundary layer analysis. Favorable comparison with previously published work is performed. Numerical results for the dimensionless velocity, temperature and concentration profiles as well as for the skin friction, heat and mass transfer and deposition rate are obtained and displayed graphically for pertinent parameters to show interesting aspects of the solution.

[1]  R. Usha,et al.  The Axisymmetric Motion of a Liquid Film on an Unsteady Stretching Surface , 1995 .

[2]  Chao-Yang Wang,et al.  The three‐dimensional flow due to a stretching flat surface , 1984 .

[3]  S. Bhattacharyya,et al.  On the stability of viscous flow over a stretching sheet , 1985 .

[4]  L. Crane.  Flow past a stretching plate , 1970 .

[5]  P. S. Gupta,et al.  Heat and mass transfer on a stretching sheet with suction or blowing , 1977 .

[6]  Tasawar Hayat,et al.  The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet , 2009 .

[7]  C. Wang,et al.  Viscous flow due to a shrinking sheet , 2006 .

[8]  C. Wang,et al.  Slip flow due to a stretching cylinder , 1988 .

[9]  D. Fotiadis,et al.  Flow Phenomena in Chemical Vapor Deposition of Thin Films , 1991 .

[10]  A. Acrivos,et al.  Steady flow in a channel or tube with an accelerating surface velocity. An exact solution to the Navier—Stokes equations with reverse flow , 1981, Journal of Fluid Mechanics.

[11]  James P. Keener,et al.  Uniqueness of flow of a second-order fluid past a stretching sheet , 1987 .

[12]  A. Apelblat.  Mass transfer with a chemical reaction of the first order. Effect of axial diffusion , 1982 .

[13]  Chaoyang Wang.  Liquid film on an unsteady stretching surface , 1990 .

[14]  T. Hayat,et al.  MHD rotating flow of a viscous fluid over a shrinking surface , 2007 .

[15]  E. Sparrow,et al.  Numerical Solution Scheme for Local Nonsimilarity Boundary-Layer Analysis , 1978 .

[16]  Tasawar Hayat,et al.  On the Analytic Solution of Magnetohydrodynamic Flow of a Second Grade Fluid Over a Shrinking Sheet , 2007 .

[17]  R. Gorla,et al.  Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid , 1999 .

[18]  W. Cheng,et al.  Non-similarity solution and correlation of transient heat transfer in laminar boundary layer flow over a wedge , 2002 .

[19]  E. Williams,et al.  An improved approximation technique to obtain numerical solution of a class of two‐point boundary value similarity problems in fluid mechanics , 1993 .