Three-Dimensional Flow of Maxwell Fluid with Soret and Dufour Effects
Publication: Journal of Aerospace Engineering
Volume 29, Issue 3
Abstract
This paper reports the heat and mass transfer effects in three-dimensional flow of a Maxwell fluid over a stretching surface with convective boundary conditions. Analysis is carried out in the presence of mass transfer with first-order chemical reactions, and with Soret and Dufour effects. Convergent series solutions to the resulting nonlinear problems were developed. It is found that the roles of Deborah and Biot parameters on the Nusselt number were opposite; however, the Sherwood number was qualitatively similar for both Biot and Deborah numbers. Also, variations of Prandtl and Biot numbers on the Nusselt and Sherwood numbers were similar.
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References
Abbas, Z., Wang, Y., Hayat, T., and Oberlack, M. (2010). “Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface.” Nonlinear Anal. Real World Appl., 11(4), 3218–3228.
Ariel, P. D. (2007). “Three-dimensional flow past a stretching sheet and the homotopy perturbation method.” Comput. Math. Appl., 54(7–8), 920–925.
Ashraf, M. B., Hayat, T., and Alsaedi, A. (2015a). “Three-dimensional flow of Eyring-Powell nanofluid by convectively heated exponentially stretching sheet.” Eur. Phys. J. Plus, 130(1), 1–16.
Ashraf, M. B., Hayat, T., Alsaedi, A., and Shehzad, S. A. (2015b). “Convective heat and mass transfer in MHD mixed convection flow of Jeffrey nanofluid over a radially stretching surface with thermal radiation.” J. Cent. South Univ., 22(3), 1114–1123.
Aziz, A. (2009). “A similarity solution for thermal boundary layer over a flat plate with a convective surface boundary condition.” Commun. Nonlinear Sci. Numer. Simul., 14(4), 1064–1068.
Eckert, E. R. G., and Drake, R. M. (1972). Analysis of heat and mass transfer, McGraw-Hill, New York.
Hayat, T., Afzal, S., and Hendi, A. (2012a). “Exact solution of electroosmotic flow in generalized Burgers fluid.” Appl. Math. Mech., 32(9), 1119–1126.
Hayat, T., Ashraf, M. B., and Alsaedi, A. (2014). “Small-time solutions for the thin-film flow of a casson fluid due to a suddenly moved plate.” J. Aerosp. Eng., 04014034.
Hayat, T., Ashraf, M. B., and Alssulami, H. H. (2015). “On mixed convection flow of Jeffrey fluid over an inclined stretching surface with thermal radiation.” Heat Transfer Res., 46(6), 515–539.
Hayat, T., Shehzad, S. A., Ashraf, M. B., and Alsaedi, A. (2013a). “Magnetohydrodynamic mixed convection flow of thixotropic fluid with thermophoresis and Joule heating.” J. Therm. Phys. Heat Transfer, 27(4), 733–740.
Hayat, T., Shehzad, S. A., Rafique, A., and Malik, M. Y. (2012b). “Mixed convection unsteady stagnation point flow over a stretching sheet with heat transfer in the presence of variable free stream.” Int. J. Numer. Methods Fluids, 68(4), 483–493.
Hayat, T., Zaib, S., Asghar, S., Bhattacharyya, K., and Shehzad, S. A. (2013b). “Transient flows of Maxwell fluid with slip conditions.” Appl. Math. Mech., 34(2), 153–166.
Jamil, M., and Fetecau, C. (2010). “Some exact solutions for rotating flows of a generalized Burgers’ fluid in cylindrical domains.” J. Non-Newtonian Fluid Mech., 165(23–24), 1700–1712.
Khan, M., Anjum, A., Fetecau, C., and Qi, H. (2010). “Exact solutions of some oscillating motions of a fractional Burgers’ fluid.” Math. Comput. Modell., 51(5–6), 682–692.
Liao, S. J. (2012). Homotopy analysis method in nonlinear differential equations, Higher Education Press, Beijing.
Liu, C. (2010). “The essence of the homotopy analysis method.” Appl. Math. Comput., 216(4), 1299–1303.
Makinde, O. D. (2011a). “MHD mixed-convection interaction with thermal radiation and nth order chemical reaction past a vertical porous plate embedded in a porous medium.” Chem. Eng. Commun., 198(4), 590–608.
Makinde, O. D. (2011b). “On MHD mixed convection with Soret and Dufour effects past a vertical plate embedded in a porous medium.” Latin Am. Appl. Res., 41, 63–68.
Makinde, O. D., and Aziz, A. (2010). “MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition.” Int. J. Therm. Sci., 49(9), 1813–1820.
Makinde, O. D., and Olanrewaju, P. O. (2011). “Unsteady mixed convection with Soret and Dufour effects past a porous plate moving through a binary mixture of chemically reacting fluid.” Chem. Eng. Commun., 198(7), 920–938.
Makinde, O. D., Zimba, K., and Bég, O. A. (2012). “Numerical study of chemically-reacting hydromagnetic boundary layer flow with Soret/Dufour effects and a convective surface boundary condition.” Int. J. Therm. Environ. Eng., 4(1), 89–98.
Motsa, S. S., Hayat, T., and Aldossary, O. M. (2012). “MHD flow of upper- convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method.” Appl. Math. Mech. Eng. Ed., 33(8), 975–990.
Mukhopadhyay, S. (2012). “Heat transfer analysis of the unsteady flow of a Maxwell Fluid over a stretching surface in the presence of a heat source/sink.” Chin. Phys. Lett., 29(5), 054703.
Mukhopadhyay, S., and Bhattacharyya, K. (2012). “Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction.” J. Egypt. Math. Soc., 20(3), 229–234.
Olanrewaju, P. O., and Makinde, O. D. (2011). “Effects of thermal diffusion and diffusion thermo on chemically reacting MHD boundary layer flow of heat and mass transfer past a moving vertical plate with suction/injection.” Arabian J. Sci. Eng., 36(8), 1607–1619.
Qi, H., and Jin, H. (2009). “Unsteady helical flows of a generalized Oldroyd-B fluid with fractional derivative.” Nonlinear Anal. Real World Appl., 10(5), 2700–2708.
Rashidi, M. M., Pour, S. A. M., Hayat, T., and Obaidat, S. (2012). “Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method.” Comput. Fluids, 54, 1–9.
Shehzad, S. A., Alsaadi, F. E., Monaquel, S. J., and Hayat, T. (2013a). “Soret and Dufour effects on the stagnation point flow of Jeffery fluid with convective boundary conditions.” Eur. Phys. J. Plus, 128(6), 56.
Shehzad, S. A., Qasim, M., Hayat, T., Sajid, M., and Obaidat, S. (2013b). “Boundary layer flow of Maxwell fluid with power law heat flux and heat source.” Int. J. Numer. Methods Heat Fluid Flow, 23(7), 1225–1241.
Vosughi, H., Shivanian, E., and Abbasbandy, S. (2010). “A new analytical technique to solve Volterra’s integral equations.” Math. Methods Appl. Sci., 34(10), 1243–1253.
Zheng, L., Niu, J., Zhang, X., and Gao, Y. (2012). “MHD flow and heat transfer over a porous shrinking surface wiyh velocity slip and temperature jump.” Math. Comput. Modell., 56(5-6), 133–144.
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Published In
Journal of Aerospace Engineering
Volume 29 • Issue 3 • May 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Sep 17, 2014
Accepted: Jul 20, 2015
Published online: Oct 14, 2015
Discussion open until: Mar 14, 2016
Published in print: May 1, 2016
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