Technical Papers
Aug 14, 2015

Analytical Study for the Effects of Chemical Reaction and Mass Transfer on Free Convective Flow Past a Vertical Isothermal Cone Surface

Publication: Journal of Aerospace Engineering
Volume 29, Issue 2

Abstract

An analytical study is presented for the effects of chemical reaction and mass transfer on the free convective flow of a viscous and incompressible fluid past a vertical isothermal cone surface. The derived fundamental equations on the assumption of small magnetic Reynolds number are solved. A comparison between the analytical and numerical solution has been included in the analysis. The effects of buoyancy parameter, chemical reaction parameter, and Schmidt number on the flow field are discussed through graphs.

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Acknowledgments

The authors are grateful to the reviewers for their valuable suggestions and comments to improve this paper.

References

Bapuji, P., Sambath, P., and Viswanathan, K. K. (2014). “Effects of chemical reactions on unsteady free convective and mass transfer flow from a vertical cone with heat generation/absorption in the presence of VWT/VWC.” Math. Probl. Eng., 2014, 1–20.
Bég, O. A., Uddin, M. J., Rashidi, M. M., and Kavyani, N. (2014). “Double-diffusive radiative magnetic mixed convective slip flow with Biot and Richardson number effects.” J. Eng. Thermophys., 23(2), 79–97.
El-Kabeir, S. M. M., and Modather, M. A. (2007). “Chemical reaction, heat and mass transfer on MHD flow over a vertical isothermal cone surface in micropolar fluids with heat generation/absorption.” Appl. Math. Sci., 1(34), 1663–1674.
Fairbanks, D. F., and Wick, C. R. (1950). “Diffusion and chemical reaction in an isothermal laminar flow along a soluble flat plate.” Ind. Eng. Chem. Res., 42(3), 471–475.
Gebhart, B. (1971). Heat transfer, McGraw Hill, New York.
Gebhart, B., and Pera, L. (1971). “The nature of vertical natural convection flow resulting from the combined buoyancy effects of thermal and mass diffusion.” J. Heat Mass Transfer, 14(12), 2025–2050.
Kanwal, R. P. (2013). “Linear integral equations.” Theory & technique, modern birkhäuser classics, Springer Science Business Media, New York.
Khan, Y. (2014). “Two-dimensional boundary layer flow of chemical reaction MHD fluid over a shrinking sheet with suction and injection.” J. Aerosp. Eng., 04014019.
Mahdy, A. (2010). “Effect of chemical reaction and heat generation or absorption on double- diffusive convection from a vertical truncated cone in porous media with variable viscosity.” Int. Commun. Heat Mass Transfer, 37(5), 548–554.
Muthukumaraswamy, R., and Ganesan, P. (1998). “Unsteady flow past an impulsively started vertical plate with heat and mass transfer.” J. Heat mass Transfer, 34(2), 187–193.
Rout, B. R., Parida, S. K., and Panda, S. (2013). “MHD heat and mass transfer of chemical reaction fluid flow over a moving vertical plate in presence of heat source with convective surface boundary condition.” Int. J. Chem. Eng., 2013, 1–10.
Schuh, H., and Angew, Z. (1950). “Variation in the physical on heat, mass and momentum transfer”.
Seddeek, M. A., and Almushigeh, A. A. (2010). “Effects of radiation and variable viscosity on MHD free convective flow and mass transfer over a stretching sheet with chemical reaction.” Appl. Appl. Math.: Int. J., 5(1), 181–197.
Seddeek, M. A., Odda, S. N., Akl, M. Y., and Abdelmeguid, M. S. (2009). “Analytical solution for the effect of radiation on flow of a magneto-micropolar fluid past a continuously moving plate with suction and blowing.” Comput. Mater. Sci., 45(2), 423–428.
Soundalgekar, V. M. (1976). “The mass transfer effects on the steady free convective flow of an incompressible, dissipative, viscous fluid past an infinite, vertical porous plate in the presence of suction.” Proc. India Acad. Sci., 84A, 194.
Soundalgekar, V. M. (1977). “Free convection effects on Stokes problem for a vertical plate.” J. Heat Transfer, 99c(3), 499.
Soundalgekar, V. M., and Patil, M. R. (1980). “Stokes problem for vertical plate with constant heat flux” J. Astrophys. Space Sci., 64(1), 165–171.
Sparrow, E. M., Minkowycz, J. J., and Eckert, E. R. G. (1964). “Analytical study of the effects of buoyancy in a binary boundary layer into which a foreign gas is injected through a porous surface.” J. Heat Transfer, 86c(4), 508.
Stokes, G. G. (1851). “Effect of the internal friction of fluid on the motion of pendulum” Cambridge Philos. Trans., 1x, 8.
Warrene, B. B., and Stewart, E. (1992). Transport phenomena, Wiley, New York.

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Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 29Issue 2March 2016

History

Received: Aug 12, 2014
Accepted: Jun 22, 2015
Published online: Aug 14, 2015
Discussion open until: Jan 14, 2016
Published in print: Mar 1, 2016

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Authors

Affiliations

M. A. Seddeek [email protected]
Deanship of Educational Services, Preparatory Year Unit, Qassim Univ., P.O. Box 6595, Qassim, Buraidah, Kingdom of Saudi Arabia 51452; formerly, Faculty of Science, Dept. of Mathematics, Helwan Univ., Cairo 11795, Egypt (corresponding author). E-mail: [email protected]
S. N. Odda
Faculty of Women, Dept. of Mathematics, Ain Shams Univ., Cairo 11566, Egypt.
M. S. Abdelmeguid
Akhbar EL-Yom Academy, 6 October City, Giza 12573, Egypt.

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