Effect of chemical reaction on mixed convective nanofluid flow on a vertical plate with uniform heat and mass fluxes

• Autorzy: Mondal H. , Goqo S. P. , Sibanda P. , De P.

Identyfikatory

DOI

10.2478/ijame-2019-0021

• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to consider a two dimensional free convective flow of a nanofluid due to the combined effects of thermal and mass diffusion in the presence of a chemical reaction of first order. The objective of the present investigation is to analyze the free convective flow in the presence of prescribed wall heat flux and mass flux condition. The governing equations of the linear momentum, energy equation and concentration are obtained in a dimensionless form by introducing a suitable group of similarity transformations. The transformed coupled non-linear ordinary differential equations are solved numerically by using appropriate boundary conditions for the various values of physical parameters. Computations are performed for a wide range of values of the various governing flow parameters of the velocity, temperature and species concentration profiles and results are presented graphically. Numerical results for the skin friction coefficient and local Nusselt number are also presented and analyzed in detail. The obtained results are compared with previously published work and are found to be in excellent agreement. The results are a very useful source of information for researchers on the subject of a free convective flow of a nanofluid. This paper illustrates chemical reaction effects on free convective flow of a nanofluid from a vertical plate with uniform heat and mass fluxes.

Słowa kluczowe

EN

free convective flow; nanofluids; chemical reaction

PL

przepływ konwekcyjny; nanopłyny; reakcja chemiczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2019
• Tom: Vol. 24, no. 2
• Strony: 329--342
• Opis fizyczny: Bibliogr. 25 poz., tab., wykr.

Twórcy

autor

Mondal H.

• School of Mathematics, Statistics and Computer Science University of KwaZula-Natal Private Bag X01, Scottsvile, Pietermaritzburg-3209, SOUTH AFRICA

autor

Goqo S. P.

• School of Mathematics, Statistics and Computer Science University of KwaZula-Natal Private Bag X01, Scottsvile, Pietermaritzburg-3209, SOUTH AFRICA

autor

Sibanda P.

• School of Mathematics, Statistics and Computer Science University of KwaZula-Natal Private Bag X01, Scottsvile, Pietermaritzburg-3209, SOUTH AFRICA

autor

De P.

• Department of Mathematics, School of Advanced Sciences VIT University, Chennai Campus Chennai-600127, Tamil Nadu, INDIA

Bibliografia

• [1] Daungthongsuk W. and Wongwises S. (2007): A critical review of convective heat transfer of nanofluids. Renewable and Sustainable Energy Reviews, vol.11, pp.797-817.
• [2] Keblinski P., Eastman J.A. and Cahill D.G. (2005): Nanofluids for thermal transport. Materials Today, vol.8, pp.36-44.
• [3] Murshed S.M.S., Leong C. and Yang C. (2008): Thermophysical and electrokinetic properties of nanofluids: a critical review. Applied Thermal Engineering, vol.28, pp.2109-2125.
• [4] Phelan P.E., Bhattacharya P. and Prasher R.S. (2005): Nanofluids for heat transfer applications. Annual Reviews of Heat Transfer, vol.14, pp.255-275.
• [5] Trisaksri V. and Wongwises S. (2007): Critical review of heat transfer characteristics of nanofluids. Renewable and Sustainable Energy Reviews, vol.11, pp.512-523.
• [6] De P., Mondal H. and Bera U.K. (2014): Influence of nanofluids on magnetohydrodynamic heat and mass transfer over a non-isothermal wedge with variable viscosity and thermal radiation Journal of Nanofluids, vol.3, pp.1-8.
• [7] Albadr J., Tayal S. and Alasadi M. (2013): Heat transfer through heat exchanger using Al2O3 nanofluid at different concentrations. Case Studies in Thermal Engineering, vol.1, pp.38-44.
• [8] Mirmasoumi S. and Behzadmehr A. (2008): Effect of nanoparticles mean diameter on mixed convection heat transfer of a nanofluid in a horizontal tube. Int. J. of Heat and Fluid Flow, vol.29, No.2, pp.557-566.
• [9] Yu W. and Choi S.U.S. (2003): The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. Journal of Nanoparticle Research, vol.5, pp.167-171.
• [10] Nandy P., Wilfried R. and Das S.K. (2003): Natural convection of nano-fluids. Heat and Mass Transfer, vol.39, pp.775-784.
• [11] Devi A.S.P. and Kandasamy R. (1999): Effects of chemical reaction heat and mass transfer on laminar flow along a semi infinite horizontal plate. Heat and Mass Transfer, vol.35, pp.465-7.
• [12] Devi A.S.P. and Kandasamy R. (2002): Effects of chemical reaction, heat and mass transfer on non-linear mhd laminar boundary layer flow over a wedge with suction and injection. Int. Comm. Heat Mass Transfer, vol.29, pp.707-716.
• [13] Chamkha A. (2003): MHD flow of uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction. Int. Comm. Heat Mass Transfer, vol.30, pp.413-422.
• [14] Fairbanks D.F. and Wike C.R. (1950): Diffusion and chemical re-action in an isothermal laminar flow along a soluble flat plate. Ind. Eng. Chem. Res., vol.42, pp.471-5.
• [15] Fan J.R., Shi J.M. and Xu X.Z. (1998): Similarity solution of mixed convection with chemical reaction over a horizontal moving plate. Acta Mech., vol.126, pp.59-69.
• [16] Ibrahim S.Y. and Makinde O.D. (2010): On MHD boundary layer flow of chemically reacting fluid with heat and mass transfer past a stretching sheet. Int. J. Fluid Mech., vol.2, pp.123-32.
• [17] Rajeswari R., Jothiram B. and Nelson V.K. (2009): Chemical reaction, heat and mass transfer on nonlinear MHD boundary layer flow through a vertical porous surface in the presence of suction. Applied Mathematical Sciences, vol.3, No.50, pp.2469-2480.
• [18] Kandasamy R., Perisamy K. and Sivagnana Prabhu K.K. (2005): Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects. Int. J. Heat Mass Transfer, vol.48, pp.4557-4561.
• [19] Mansour M.A., EI-Anssary N.F. and Aly A.M. (2008): Effects of chemical reaction and thermal stratification on MHD free convective heat an mass transfer over a vertical stretching surface embedded in a porous media considering Soret and Dufour numbers. Che. Engg. Journal, vol.145, pp.340-5.
• [20] Mingchun L., Yusheng W., Yanwen T. and Yuchun Z. (2007): Non thermal equilibrium model of the coupled heat and mass transfer in strong endothermic chemical reaction system of porous media. Int. J. Heat Mass Transfer, vol.50, pp.2936-2943.
• [21] Patil P.M., Chamkha A.J. and Roy S. (2012): Effects of chemical reaction on mixed convection flow of a polar fluid through a porous medium in presence of internal heat generation. Meccanica, vol.47, pp.483-499.
• [22] Patil P.M. (2013): Chemical reaction effects on free convective flow of a polar fluid from a vertical plate with uniform heat and mass fluxes. IOSR Journal of Mathematics, vol.6, No.5, pp.66-85.
• [23] Schlichting H. (2000): Boundary Layer Theory. New York: Springer.
• [24] Lee S.L., Chen T.S. and Armaly B.F. (1987): Mixed convection along vertical cylinders and needles with uniform surface heat flux. ASME J. Heat Transfer, vol.109, pp.711-716.
• [25] Chang C.L. and Lee Z.Y. (2008): Free convection on a vertical plate with uniform and constant heat flux in a thermally stratified micropolar fluid. Mechanics Research Communications, vol.35, pp.421-427.