Abstract
In this paper, the problem of unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture in an optically thin environment is presented. The dimensionless governing equations for this investigation are solved numerically by the fourth-order Runge–Kutta integration scheme along with shooting technique. Numerical data for the local skin-friction coefficient, the local Nusselt number and the local Sherwood number have been tabulated for various values of parametric conditions. Graphical results for velocity, temperature and concentration profiles based on the numerical solutions are presented and discussed.
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Abbreviations
- (x, y):
-
Cartesian coordinates
- C ∞ :
-
Free stream concentration
- (u, v):
-
Velocity components
- C :
-
Concentration of the fluid
- T w :
-
Surface temperature
- C w :
-
Surface concentration
- T ∞ :
-
Free stream temperature
- D a :
-
DamkÖhler number
- g :
-
Gravitational acceleratio
- k :
-
Thermal conductivity
- Q :
-
Heat generation coefficient
- c p :
-
Specific heat at constant pressure
- T :
-
Fluid temperature
- D :
-
Diffusion coefficient
- R A :
-
nth order irreversible reactio
- U 0 :
-
Plate uniform velocity
- R G :
-
Universal gas constant
- Pr :
-
Prandtl number
- c :
-
Suction parameter
- E :
-
Activation energy
- S c :
-
Schmidt number
- b :
-
Heat generation parameter
- G r :
-
Thermal Grashof number
- G c :
-
Solutal Grashof number
- θ :
-
Fluid temperature
- φ :
-
Fluid concentration
- η :
-
Similarity variable
- γ :
-
Activation energy parameter
- β :
-
Thermal volumetric-expansion coefficient
- β c :
-
Concentration volumetric-expansion coefficient
- σ :
-
Stefan-Boltzmann constant
- α :
-
Absorption coefficient
- ρ :
-
Fluid density
- \({{\mathcal{V}}}\) :
-
Kinematic viscosity
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Makinde, O.D., Olanrewaju, P.O. & Charles, W.M. Unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture. Afr. Mat. 22, 65–78 (2011). https://doi.org/10.1007/s13370-011-0008-z
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DOI: https://doi.org/10.1007/s13370-011-0008-z