UNSTEADY FLUID AND HEAT FLOW INDUCED BY A STRETCHING SHEET WITH MASS TRANSFER AND CHEMICAL REACTION

The effect of chemical reaction on the flow, heat, and mass transfer within a viscous fluid on an unsteady stretching sheet is examined. The stretching rate, temperature and concentration of the sheet, and the chemical reaction rate are assumed to vary with time. The time-dependent boundary layer equations governing the flow are reduced through a convenient similarity transformation to a set of ordinary differential equations, which are numerically solved by applying the fourth-order Runge-Kutta-Fehlberg scheme with the shooting technique. Results for the velocity, temperature, and concentration distributions as well as the wall temperature and concentration gradients are presented graphically for various values of the unsteadiness parameter A, Prandtl number Pr, Schmidt number Sc, and chemical reaction parameter γ.

[1]  M. A. El-aziz,et al.  Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption , 2008 .

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

[3]  R. Kandasamy,et al.  Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects , 2005 .

[4]  Der-Tau Chin,et al.  Mass Transfer to a Continuous Moving Sheet Electrode , 1975 .

[5]  I. Pop,et al.  Similiarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet , 2006 .

[6]  ON THE EFFECTIVENESS OF UNIFORM SUCTION OR INJECTION ON TWO-DIMENSIONAL STAGNATION-POINT FLOW TOWARDS A STRETCHING SURFACE WITH HEAT GENERATION , 2007 .

[7]  O. Makinde,et al.  THE EFFECT OF THERMAL RADIATION ON THE HEAT AND MASS TRANSFER FLOW OF A VARIABLE VISCOSITY FLUID PAST A VERTICAL POROUS PLATE PERMEATED BY A TRANSVERSE MAGNETIC FIELD , 2008 .

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

[9]  G. Hsiao,et al.  A Neumann series representation for solutions to boundary-value problems in dynamic elasticity , 1975 .

[10]  M. A. El-aziz.  Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer by hydromagnetic three-dimensional free convection over a permeable stretching surface with radiation , 2008 .

[11]  T. C. Chiam.  Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet , 1998 .

[12]  V. G. Fox,et al.  Heat and Mass Transfer on Moving Continuous Flat Plate with Suction or Injection , 1966 .

[13]  M. A. El-aziz,et al.  MHD-mixed convection and mass transfer from a vertical stretching sheet with diffusion of chemically reactive species and space- or temperature-dependent heat source , 2007 .

[14]  G. Begum,et al.  HEAT TRANSFER IN MHD VISCOELASTIC FLUID FLOW ON STRETCHING SHEET WITH HEAT SOURCE/SINK, VISCOUS DISSIPATION, STRESS WORK, AND RADIATION FOR THE CASE OF LARGE PRANDTL NUMBER , 2008 .

[15]  Rama Subba Reddy Gorla,et al.  Unsteady Mass Transfer in the Boundary Layer on a Continuous Moving Sheet Electrode , 1978 .

[16]  R. M. Griffith.  Velocity, Temperature, and Concentration Distributions during Fiber Spinning , 1964 .

[17]  Jianren Fan,et al.  Similarity solution of mixed convection with diffusion and chemical reaction over a horizontal moving plate , 1998 .

[18]  B. S. Dandapat,et al.  Heat transfer in a liquid film on an unsteady stretching surface , 2000 .

[19]  A. Gupta,et al.  HYDROMAGNETIC FLOW AND HEAT TRANSFER OVER A STRETCHING SHEET , 1979 .

[20]  T. Y. Na,et al.  Computational methods in engineering boundary value problems , 1979 .

[21]  Eugen Magyari,et al.  Heat transfer characteristics of the separation boundary flow induced by a continuous stretching surface , 1999 .

[22]  Eugen Magyari,et al.  Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface , 1999 .

[23]  M. A. A. Bazid,et al.  Heat transfer over an unsteady stretching surface , 2004 .

[24]  M. Aziz,et al.  Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption , 2004 .

[25]  Edward L Cussler,et al.  Diffusion: Mass Transfer in Fluid Systems , 1984 .