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This paper investigates a chemically reactive Magnetohydrodynamics fluid flow with heat and mass transfer over a permeable surface taking into consideration the buoyancy force, injection/suction, heat source/sink and thermal radiation. The governing momentum, energy and concentration balance equations are transformed into a set of ordinary differential equations by method of similarity transformation and solved numerically by Runge- Kutta method based on Shooting technique. The influence of various pertinent parameters on the velocity, temperature, concentration fields are discussed graphically. Comparison of this work with previously published works on special cases of the problem was carried out and the results are in excellent agreement. Results also show that the thermo physical parameters in the momentum boundary layer equations increase the skin friction coefficient but decrease the momentum boundary layer. Fluid suction/injection and Prandtl number increase the rate of heat transfer. The order of chemical reaction is quite significant and there is a faster rate of mass transfer when the reaction rate and Schmidt number are increased.
Rocznik
Tom
Strony
53--66
Opis fizyczny
Bibliogr. 20 poz., tab., wykr.
Twórcy
autor
- Department of Mathematics, University of Lagos NIGERIA
autor
- Department of Mathematics, University of Lagos NIGERIA
autor
- Osun State University Osogbo, NIGERIA
Bibliografia
- [1] Chamkha Ali J. (2011): Heat and Mass transfer from MHD flow over a moving permeable cylinder with heat generation or absorption and chemical reaction. Communications in Numerical Analysis; vol.2011, doi:10.59/2011/cna-00109.
- [2] Aziz A. (2009): Similarity solution for Laminar boundary layer over a flat plate with a convective surface boundary condition. Communication of Nonlinear Science, Numerical Simulation, vol.14, pp.1064-1068.
- [3] Bhattacharyya K. and Gorla R.S.R. (2013): Boundary layer flow and heat transfer over a permeable shrinking cylinder with surface mass transfer. International Journal of Applied Mehanics and Engineering, vol.18, No.4, pp.1003-1010.
- [4] Bhattacharyya K. and Layek G.C. (2010): Chemically reactive solute distribution in MHD boundary layer flow over a permeable stretching sheet with suction or blowing. Chemical Engineering Communication Group, LLC, Taylor and Francis, vol.197, pp.1527-1540.
- [5] Bhattacharyya K. (2011): Effects of heat source/sink on MHD flow and heat transfer over a shrinking sheet with mass suction. Chemical Engineering Research Bulletin, vol.15, pp.12-17.
- [6] Arthur E.M., Seini I.Y. and Seidu A. (2014): On chemically reacting yydromagneticflow over a flat surface in the presence of radiation with viscous dissipation and convective boundary condition. America journal of APPLIED Mathematics, vol.2, No.5, pp.179-185.
- [7] Gnaneswara Reddy Machireddy and Sandeep Naramgari (2016): Heat and mass transfer in radiative MHD Carreau fluid with cross diffusion. Ain Shams Engineering Journal, asej 2016.06.012.
- [8] Nayak M.K. (2016): Steady MHD flow and heat transfer on a stretching vertical permeable surface in the presence of heat generation/absorption, thermal radiation and chemical reaction. AMSE Journals, vol.85, No.1, pp.91-104.
- [9] Prakash J., Durga Prasad P., Vinod Kumar G., Kirankumar R.V.M.S.S. and Varma S.V.K. (2016): Heat and mass transfer hydromagnetic radiative Casson fluid over an exponentially stretching sheet with source/sink. International Journal of Engineering Science Invension, vol.5, No.7, pp.12-23.
- [10] Sulocchana C. and Kishor Kumar M.K. (2016): Numerical investigation of heat and mass transfer in radiativeMagnetohydrodynamic flow with chemical reaction. International Journal of Advanced Science and Technology, vol.96, pp.25-36.
- [11] Seth G.S., Sharma R. and Kumbhakar B. (2016): Heat and mass effects on steady MHD natural convection flow of a chemically reactive and radiating fluid through a porous medium past a moving vertical plate with arbitraży ramped temperature. Journal of Applied fluid Mechanics, vol.9, No.1, pp.103-117.
- [12] Tasawar Hayat, Madiha Rashid, Maria Imtiaz and Ahed Alsaedi (2015): Magnetohydrodynamic stretched flow of a nanofluid with power-law velocity and chemical reaction. AIP Advances 5, pp.117-121.
- [13] Ishak A. (2010): Similarity solution for flow and heat transfer over a permeable surface with convective boundary conditions. Applied Mathematics and Computation, vol.217, No.2, pp.837-842.
- [14] Makinde O.D and Olanrewaju P.O. (2010): Buoyancy effecta of thermal boundary layer over a vertical plate with convective surface boundary condition. Journal of Fluid Engineering, vol.132/044502-1.
- [15] Olanrewaju P.O., Gbadeyan J.A., Hayat J.A. and Hendi A. (2011): Effects of heat generation, thermal radiation and buoyancy force on a boundary layer flow over a vertical plate with convective surface boundary condition. South Africa Journal of Science, vol.107(9/10).
- [16] Conte S.D. and Boor C. (1981): Elementary Numerical Analysis. New York: McGraw-Hill Book Co.
- [17] Jain M.K. (1984): Numerical Solution of Differential Equations. New Delhi, India: Wiley Eastern Ltd..
- [18] Jain M.K., Iyengar S.R. and Jain R.K. (1985): Numerical Methods for Scientific and Engineering Computations. New Delhi, India: Wiley Eastern Limited.
- [19] Krishnamurthy E.V. and Sen S.K. (1986): Numerical Algorithms. New Delhi, India: Affiliated East-West Press Pvt. Ltd..
- [20] Heck A. (2003): Introduction to Maple. 3rd Edition, Springer-Verlag.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-225664e7-45bd-4217-b1fc-7873a76f7cdb