Abstract
An analysis is performed to study the effects of the chemical reaction and heat generation or absorption on a steady mixed convection boundary layer flow over a vertical stretching sheet with nonuniform slot mass transfer. The governing boundary layer equations with boundary conditions are transformed into the dimensionless form by a group of nonsimilar transformations. Nonsimilar solutions are obtained numerically by solving the coupled nonlinear partial differential equations using the quasi-linearization technique combined with an implicit finite difference scheme. The numerical computations are carried out for different values of dimensionless parameters to display the distributions of the velocity, temperature, concentration, local skin friction coefficient, local Nusselt number, and local Sherwood number. The results obtained indicate that the local Nusselt and Sherwood numbers increase with nonuniform slot suction, but nonuniform slot injection produces the opposite effect. The local Nusselt number decreases with heat generation and increases with heat absorption.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B. C. Sakiadis, “Boundary Layer Behavior on Continuous Solid Surfaces. 2. The Boundary Layer on a Continuous Flat Surface,” AIChE J. 7 (2), 221–225 (1961).
F. K. Tsou, E. M. Sparrow, and R. J. Goldstein, “Flow and Heat Transfer in the Boundary Layer on a Continuous Moving Surface,” Int. J. Heat Mass Transfer 10 (2), 219–235 (1967).
L. E. Erickson, L. T. Fan, and V. G. Fox, “Heat and Mass Transfer on Moving Continuous Flat Plate with Suction or Injection,” Industr. Eng. Chem. Fund. 5 (1), 19–25 (1966).
L. J. Crane, “Flows Past a Stretching Plate,” Z. Angew. Math. Phys. 21 (4), 645–647 (1970).
P. S. Gupta and A. S. Gupta, “Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing,” Canad. J. Chem. Eng. 55 (6), 744–746 (1977).
V. M. Soundalgekar and T. V. R. Murty, “Heat Transfer in Flow Past a Continuous Moving Plate with Variable Temperature,” Wärme- und Stoffübertrag 14 (2), 91–93 (1980).
C. H. Chen, “Heat Transfer Characteristics of a Non Isothermal Surface Moving Parallel to a Free Stream,” Acta Mech. 142 (1–4), 195–205 (2000).
L. T. Grubka and K. M. Bobba, “Heat Transfer Characteristics of a Continuous Stretching Surface with Variable Temperature,” Trans. ASME, J. Heat Transfer 107, 248–250 (1985).
M. E. Ali, “Heat Transfer Characteristics of a Continuous Stretching Surface,” Wärme-und Stoffübertrag 29 (4), 227–234 (1994).
A. Moutsoglou and T. S. Chen, “Buoyancy Effects in Boundary Layers on Inclined, Continuous, Moving Sheets,” Trans. ASME, J. Heat Transfer 102 (1), 371–373 (1980).
T. A. Abdelhafez, “Skin Friction and Heat Transfer on a Continuous Flat Surface Moving in a Parallel Free Stream,” Int. J. Heat Mass Transfer 28 (6), 1234–1237 (1985).
P. R. Chappidi and F. S. Gunnerson, “Analysis of Heat and Momentum Transport along a Moving Surface,” Int. J. Heat Mass Transfer 32 (7), 1383–1386 (1989).
N. Afzal, A. Baderuddin, and A. A. Elgarvi, “Momentum and Heat Transport on a Continuous Flat Surface Moving in a Parallel Stream,” Int. J. Heat Mass Transfer 36 (13), 3399–3403 (1993).
N. Afzal and I. S. Varshney, “The Cooling of a Low Heat Resistance Sheet Moving through a Fluid,” Wärmeund Stoffübertrag 14 (4), 289–293 (1980).
N. Afzal, “Momentum Transfer on Power Law Stretching Plate with Free Stream Pressure Gradient,” Int. J. Eng. Sci 41 (11) 1197–1207 (2003).
P. M. Patil, S. Roy, and A. J. Chamkha, “Mixed Convection Flow over a Vertical Power Law Stretching Sheet,” Int. J. Numer. Methods Heat Fluid Flow 20 (4), 445–458 (2010).
P. M. Patil, “Effects of Surface Mass Transfer on Steady Mixed Convection Flow from Vertical Stretching Sheet with Variable Wall Temperature and Concentration,” Int. J. Numer. Methods Heat Fluid Flow 22 (3), 287–305 (2012).
R. Ravindran and M. Ganapathirao, “Non-Uniform Slot Suction/Injection into Mixed Convection Boundary Layer Flow over Vertical Cone,” Appl. Math. Mech. 34 (11), 1327–1338 (2013).
M. Ganapathirao, R. Ravindran, and I. Pop, “Non-Uniform Slot Suction (Injection) on an Unsteady Mixed Convection Flow over a Wedge with Chemical Reaction and Heat Generation,” Int. J. Heat Mass Transfer 67, 1054–1061 (2013).
R. Ravindran, M. Ganapathirao, and I. Pop, “Effects of Chemical Reaction and Heat Generation/Absorption on Unsteady Mixed Convection MHD Flow over a Vertical Cone with Non-Uniform Slot Mass Transfer,” Int. J. Heat Mass Transfer 73, 743–751 (2014).
H. S. Schlichting, Boundary Layer Theory, Ed. by H. S. Schlichting, and K. Gersten (Springer, New York, 2000).
K. Inouye and A. Tate, “Finite Difference Version Quasi-Linearization Applied to Boundary Layer Equations,” AIAA J. 12, 558–560 (1974).
M. Ganapathirao, R. Ravindran, and M. Momoniat, “Effects of Chemical Reaction, Heat and Mass Transfer on an Unsteady Mixed Convection Boundary Layer Flow over a Wedge with Heat Generation/Absorption in the Presence of Suction or Injection,” Heat Mass Transfer 51 (2), 289–300 (2014).
R. S. Varga, Matrix Iterative Analysis (Springer, New York, 2000).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 58, No. 1, pp. 132–145, January–February, 2017.
Rights and permissions
About this article
Cite this article
Samyuktha, N., Ravindran, R. & Ganapathirao, M. Effects of the chemical reaction and heat generation or absorption on a mixed convection boundary layer flow over a vertical stretching sheet with nonuniform slot mass transfer. J Appl Mech Tech Phy 58, 116–128 (2017). https://doi.org/10.1134/S0021894417010138
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894417010138