Heat and mass transfer flow with variable thermal conductivity and variable mass diffusivity in an MHD visco-elastic fluid over a non-isothermal stretching sheet

• Autorzy: Veena P. H. , Pravin V. K. , Shahjahan S. M.
• Języki publikacji: EN

Abstrakty

EN

In this paper we present a mathematical analysis of heat and mass transfer phenomena in a visco-elastic fluid flow over a non-isothermal stretching sheet with variable thermal conductivity and variable mass diffusivity. Similarity transformation are used to convert highly non-linear partial differential equations into ordinary differential equations. Several closed form analytical solutions for non-dimensional temperature, concentration, heat flux and mass flux are obtained in the form of confluent hypergeometric functions for two different types of the boundary conditions, namely: (i) wall with prescribed second-order power law temperature and second-order power law concentration (PST) and (ii)wall with prescribed second-order power law heat flux and second-order power law mass flux (PHF). The effect of various physical parameters such as the suction/blowing parameter , heat source/sink parameter [...], Prandtl number Pr, Schmidt number Sc, visco-elastic parameter and permeability parameter on the temperature and concentration profiles are analyzed.

Słowa kluczowe

EN

heat transfer; mass transfer; variable thermal conductivity; variable mass diffusivity; stretching sheet; internal heat generation; PST and PHF cases; suction/blowing

PL

wymiana ciepła i masy; płyny lepkie; ssanie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2008
• Tom: Vol. 13, no 2
• Strony: 515--541
• Opis fizyczny: Bibliogr. 37 poz., wykr.

Twórcy

autor

Veena P. H.

autor

Pravin V. K.

autor

Shahjahan S. M.

• Department of Mathematics Smt. V.G. College for Women Gulbarga, Karnataka, INDIA,

Bibliografia

• Abel and Sonth (2001): Heat and mass transfer. - Sringer-Verlag.
• Abel S., Veena P.H., Rajgopal K. and Pravin V.K. (2003): Non-Newtonian magnetohydrodynamic flow over a stretching surface with heat and mass transfer. - International J. of Non-Linear Mechanics, pp.1-12 Published by Elsevier Ltd., (NLM 1014).
• Acrivos A., Shah M.J. and Petersen E.E. (1960): Momentum and heat transfer in Laminar boundary layer flows of non-Newtonian fluids past external surfaces. - American. Inst. of Chemical Engs. J., vol.6, pp.312-318.
• Anderson H.I. (): MHD flow of a visco-elastic fluid past a stretching surface. - Acta. Mech., vol.95, pp.227-230.
• Arunachalam M. and Rajappa N.R. (1978): Thermal boundary layer in liquid metals with variable thermal conductivity. - Appl. Sci. Res. vol.34, pp.179.
• Chaim T.C. (1997): Magneto hydro dynamic heat transfer over a non-iso-thermal stretching sheet. - Act. Mechanics, vol.122, pp.169-179.
• Chaim T.C. (1998): Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet. - Acta. Mechanica, vol.129, pp.63-72.
• Chen C.K. and Char M.I. (1988): Heat transfer of a continuous stretching sheet with suction or blowing. - J. Math. Anal. App., vol.135, pp.568-580.
• Crame L.J. (1970): Z. Amgew. Math. Phys., 21645.
• Cramer K.P. and Pai S.L. (1973): Magneto fluid dynamics for Engineers and applied physics. - New York: McGraw-Hill Book, Co.
• Eckert E.R.C. and Drake R.M. (1972): Analysis of Heat and Mass Transfer. - New York: McGraw Hill.
• Erickson L.E., Fan L.T. and Fox V.G. (1966): Industrial Engineering and Chemical Fundamentals, vol.5, No.19.
• Ferraro V.C.A. and Plumption C. (1996): An Introduction to Magneto Fluid Mechanics. - Oxford: Charandon Press.
• Gebhart B. (1973): Advances in Heat Transfer. - New York: Academic Press.
• Gebhart B. and Pera L. (1973): Similarity Analysis of Boundary Value Problems in Engineering Prentice Hall. - New York.
• Grubka L.J. and Bobba K.M. (1985): Heat transfer characteristics of a continuous stretching surface with variable temperature. - ASME. J. Heat Transfer, vol.107, pp.248-250.
• Kwang-Tzu Yang (1958): Transient Conduction in a Semi-Infinite Solid with Variable Thermal Conductivity. - Trans. ASME, J. Appl. Mech., vol.79, pp.146-147.
• Prasad K.V., Subhash Abel M. and Khan S.K. (2000): Int. Journal of Numerical methods for heat and fluid flow, vol.10, No.8, pp.786-801.
• Rajagopal K.R., Na T.Y. and Gupta A.S. (1984): Flow of a visco-elastic fluid over a stretching sheet. - Rheol Acta., vol.23, pp.213-215.
• Rajagopal K.R. and Kaloni P.N. (1989): Some remarks on boundary conditions for fluids of different type. G.A.C. Gram, S.K. Malik (eds). - Continuam Mechanics and its Applications, Hemisphere Washington, pp.935-941.
• Rajagopal K., Veena P.H. and Pravin V.K. (2005): Heat transfer in a fluid over a linearly stretching sheet with variable thermal conductivity and internal heat generation. - Journal of Energy, Heat and Mass Transfer, vol.27, pp.65-81.
• Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surface. - Am. Inst. Chm. Eng. J., vol.7, pp.26-28.
• Shercliff J.A. (1965): Text Book of Mangetohydro Dynamics. - London: Pergamon Press.
• Singh N.P. (1996): Proc. Math. Soc., vol.12, pp.109-114.
• Singh N.P. and Atul Kumar Singh (2002): Ind. J. Pure. Appl. Phy., vol.38, pp.182-189.
• Soundalgekar V.M. (1996): Proc. Ind. Acad. Sci., vol.64, pp.304-315.
• Soundalgekar V.M. and Ramanamurthy T.V. (1988): Heat transfer in the flow past a continuous moving plate with variable temperature. - Warme-und Stoffubertragung, vol.14, pp.19-193.
• Soundalgekar V.M., Ray S.N. and Das U.N. (1995): Proc. Math, Soc., vol.11, pp.95-98.
• Sonth R.M., Khan S.K., Abel M.S. and Prasad K.V. (2002): Heat and mass transfer. - vol.38, pp.213-220.
• Sparrow E.M. and Cess R.D. (1961): Appl. Sci. Res., vol.A10, pp.185-197.
• Subhash Abel and Veena P.H. (1998): Visco-elastic fluid flow and heat transfer in a porous medium over a stretching sheet. - Int. J. of Non-Linear Mech., vol.33, pp.531-538.
• Trevisan O.V. and Bejan A. (1985): Natural transfer convection with combined heat and mass transfer bouyancy effects in a porous medium. - International Journal of Heat Mass Transfer, vol.28, pp.1597-1611.
• Tsou F.K., Sparrow E.M. and Goldstein K.J. (1967): Flow and heat transfer in the boundary layer on a continuous moving surfaces. - Int. J. Heat Mass Transfer, vol.10, pp.219-235.
• Vajravelu K. and Hadjinicolaou A. (1993): Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation. - Int. Comm. Heat Mass Transfer, vol.20, pp.417-430.
• Veena P.H., Subhash Abel, Rajagopal K. and Pravin V.K. (2006): Heat transfer in a visco-elastic fluid past a stretching sheet with viscous dissipation and internal heat generation. - Zamp, p. vol.57, pp.117.
• Vleggar J. (1977): Laminar boundary layer behaviour on continuous accelerating surfaces. - Chem. Eng. Sci., vol.32, pp.1517-1525.
• Wendong Chang, Nicolas D. Kazarinoff et al. (1991): A new family explicit solutions for the similarity equations modelling flow of a non-Newtonain fluid over a stretching sheet. - Arch. Rotational Mech. Anal., vol.113, pp.191-195.