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Cross-diffusion effects on MHD mixed convection over a stretching surface in a porous medium with chemical reaction and convective condition

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we investigate the Dufour and Soret effects on MHD mixed convection of a chemically reacting fluid over a stretching surface in a porous medium with convective boundary condition. The similarity transformation is used to reduce the governing non-linear partial differential equations into ordinary differential equations. Then, they are solved analytically by using the homotopy analysis method (HAM) and are solved numerically by the Runge-Kutta fourth-order method. The analytical and numerical results for the velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are discussed.
Rocznik
Strony
3--19
Opis fizyczny
Bibliogr. 23 poz., tab., wykr.
Twórcy
  • Department of Mathematics Kongunadu Polytechnic College, D.Gudalur Dindigul 624 620, Tamil Nadu, India
  • Department of Mathematics Dr.NGP Arts & Science College Coimbatore 641048, Tamil Nadu, India
  • Department of Mathematics, King Abdulaziz University Jeddah 21589, Saudi Arabia
  • Department of Mechanical Engineering, Babylon University Babylon City, Iraq
Bibliografia
  • 1. Postelnicu A., Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects, International Journal of Heat and Mass Transfer, 47: 1467–1472, 2004.
  • 2. Abel M.S., Mahesha N., Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation, Applied Mathematical Modelling, 32: 1965–1983, 2008.
  • 3. Sharma B.K., Chaudhary R.C., Hydromagnetic unsteady mixed convection and mass transfer flow past a vertical porous plate immersed in a porous medium with the Hall effect, Engineering Transactions, 56(1): 3–23, 2008.
  • 4. Ahammad M.U., Mollah Md.S.H., Numerical study of MHD free convection flow and mass transfer over a stretching sheet considering Dufour & Soret effects in the presence of magnetic field, International Journal of Engineering and Technology, 11(05): 4–11, 2011.
  • 5. Chamkha A.J., Ben-Nakhi A., MHD mixed convection-radiation interaction along a permeable surface immersed in a porous medium in the presence of Soret and Dufour’s effects, Heat Mass Transfer, 44: 845–856, 2008.
  • 6. Alam M.S., Rahman M.M., Samad M.A., Dufour and Soret effects on unsteady MHD free convection and mass transfer flow past a vertical porous plate in a porous medium, Nonlinear Analysis: Modelling and Control, 11(3): 217–226, 2006.
  • 7. Ibrahim W., Makinde O.D., Magnetohydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition, Journal of Aerospace Engineering, 29(2): 1–11, 2016.
  • 8. Gireesha B.J., Archana M., Prasannakumara B.C., Reddy Gorla R.S, Makinde O.D., MHD three dimensional double diffusive flow of Casson nanofluid with buoyancy forces and nonlinear thermal radiation over a stretching surface, International Journal of Numerical Methods for Heat and Fluid Flow, 27(12): 2858–2878, 2017.
  • 9. Makinde O.D., Khan W.A., Khan Z.H., Stagnation point flow of MHD chemically reacting nanofluid over a stretching convective surface with slip and radiative heat, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 231(4): 695–703, 2017.
  • 10. Makinde O.D., Mishra S.R., Chemically reacting MHD mixed convection variable viscosity Blasius flow embedded in a porous medium, Defect and Diffusion Forum, 374: 83–91, 2017.
  • 11. Sharma P.R., Choudhary S., Makinde O.D., MHD slip flow and heat transfer over an exponentially stretching permeable sheet embedded in a porous medium with heat source, Frontiers in Heat and Mass Transfer, 9: 1–7, 2017.
  • 12. Sreedevi G., Prasada Rao D.R.V., Makinde O.D., Ramana Reddy G.V., Soret and Dufour effects on MHD flow with heat and mass transfer past a permeable stretching sheet in presence of thermal radiation, Indian Journal of Pure and Applied Physics, 55: 551–563, 2017.
  • 13. Bhuvaneswari M., Sivasankaran S., Ferdows M., Lie group analysis of natural convection heat and mass transfer in an inclined surface with chemical reaction, Nonlinear Analysis: Hybrid System, 3: 536–542, 2009.
  • 14. Chamkha A.J., Ahmed S.E., Similarity solution for unsteady MHD flow near a stagnation point of a three-dimensional porous body with heat and mass transfer, heat generation/absorption and chemical reaction, Journal of Applied Fluid Mechanics, 4: 87–94, 2011.
  • 15. Karthikeyan S., Bhuvaneswari M., Sivasankaran S., Rajan S., Soret and Dufour effects on MHD mixed convection heat and mass transfer of a stagnation point flow towards a vertical plate in a porous medium with chemical reaction, radiation and heat generation, Journal of Applied Fluid Mechanics, 9: 1447–1455, 2016.
  • 16. Kasmani M., Sivasankaran S., Bhuvaneswari M., Siri Z., Effect of chemical reaction on convective heat transfer of boundary layer flow in nanofluid over a wedge with heat generation/absorption and suction, Journal of Applied Fluid Mechanics, 9: 379–388, 2016.
  • 17. Makinde O.D., Aziz A., MHD mixed convection from a vertical plate embedded in a porous medium with convective boundary condition, International Journal of Thermal Sciences, 49: 1813–1820, 2010.
  • 18. Subhashini S.V., Samuel N., Pop I., Double-diffusive convection from a permeable vertical surface under convective boundary condition, International Communications in Heat and Mass Transfer, 38: 1183–1188, 2011.
  • 19. Abdelkhalek M.M., Heat and mass transfer in MHD flow from a permeable surface with heat generation effects, Engineering Transactions, 56(4): 325–344, 2008.
  • 20. Yao S., Fang T., Zhong Y., Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions, Communications in Nonlinear Science and Numerical Simulation, 16: 752–760, 2011.
  • 21. Eswaramoorthi S., Bhuvaneswari M., Sivasankaran S., Rajan S., Effect of radiation on MHD convective flow and heat transfer of a viscoelastic fluid over a stretching surface, Procedia Engineering, 127: 916–923, 2015.
  • 22. Eswaramoorthi S., Bhuvaneswari M., Sivasankaran S., Rajan S., Soret and Dufour effects on viscoelastic boundary layer flow over a stretching surface with convective boundary condition with radiation and chemical reaction, Scientia Iranica, 23(6): 2575– 2586, 2016.
  • 23. Hayat T., Mustafa M., Pop I., Heat and mass transfer for Soret and Dufour’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid, Communications in Nonlinear Science and Numerical Simulation, 15: 1183–1196, 2010.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e54a5c89-2dfe-4c90-8dfc-005a410b99b0
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