Thermal radiation and chemical reaction effects on unsteady magnetohydrodynamic third grade fluid flow between stationary and oscillating plates

• Autorzy: Idowu A. S. , Sani U.

Identyfikatory

DOI

10.2478/ijame-2019-0018

• Języki publikacji: EN

Abstrakty

EN

An analysis was carried out for an unsteady magnetohydrodynamic (MHD) flow of a generalized third grade fluid between two parallel plates. The fluid flow is a result of the plate oscillating, moving and pressure gradient. Three flow problems were investigated, namely: Couette, Poiseuille and Couette-Poiseuille flows and a number of nonlinear partial differential equations were obtained which were solved using the He-Laplace method. Expressions for the velocity field, temperature and concentration fields were given for each case and finally, effects of physical parameters on the fluid motion, temperature and concentration were plotted and discussed. It is found that an increase in the thermal radiation parameter increases the temperature of the fluid and hence reduces the viscosity of the fluid while the concentration of the fluid reduces as the chemical reaction parameter increases.

Słowa kluczowe

EN

third grade fluid; plane Couette; Couette-Poiseuille flow; magnetohydrodynamic flow; stationary and oscillating plate; thermal radiation; chemical reaction

PL

przepływ Couette'a; przepływ magnetohydrodynamiczny; promieniowanie cieplne; reakcja chemiczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2019
• Tom: Vol. 24, no. 2
• Strony: 269--293
• Opis fizyczny: Bibliogr. 22 poz., rys., wykr.

Twórcy

autor

Idowu A. S.

• Department of Mathematics, University of Ilorin Kwara State, NIGERIA

autor

Sani U.

• Department of Mathematics, University of Ilorin Kwara State, NIGERIA

Bibliografia

• [1] Hayat T., Khan M. and Ayub M. (2004): Couette and Poiseuille flow of an Oldroyd 6-constant fluid with magnetic field. J. Math. Appl., vol.298, pp.225-244.
• [2] Ajadi S.O. (2009): Analytical solutions of unsteady oscillating particulate viscoelastic fluid between two parallel walls. International Journal of Nonlinear Science, vol.9 No2, pp.131-138.
• [3] Aksoy Y. and Pakdemili M. (2010): Approximate analysis solution for flow of third grade fluid through parallel plate channel fluid with porous medium.Transp. Porous Med, vol.83, pp.375-395.
• [4] Ellahi R., Ariel P.D., Hayat T. and Asghar S. (2010): Effect of heat transfer on third grade fluid in a flat channel. Int. Journal for Numerical Methods in Fluid, vol.63, No.7, pp.847-859.
• [5] Hayat T. and Nawaz M. (2010): Effect of heat transfer on magnetohydrodynamic axisymmeric flow between two stretching sheet. Z. Naturforsch, vol.65, pp.961-968.
• [6] Danish M., Kumar S. and Kumar S. (2012): Exact analytical solutions for the Poiseuille and Couette-Poiseuille flow of third grade fluid between parallel plates. Comm. in Nonlinear Science and Numerical Simulation, vol.17, No.3, pp.1089-1097.
• [7] Gbadeyan J.A. and Dada M.S. (2013): On the influence of radiation and heat transfer on an unsteady MHD non-Newtonian fluid flow with slip in a porous medium. Journal of Mathematical Research, vol.5, No.3, pp.40-50.
• [8] Aiyesimi Y.M., Okedayo G.T. and Lawal O.W. (2014a): Analysis of unsteady MHD thin film flow of a third grade fluid with heat transfer down an inclined plate. J. Appl. Computat. Math, vol.3, No.2, pp.1-12, dio:10.4172/2168-9679.1000152.
• [9] Aiyesimi Y.M., Okedayo G.T. and Lawal O.W. (2014b): Effects of magnetic field on the MHD flow of a third grade fluid through inclined channel with ohmic heating. J. Appl. Computat. Math, vol.3, No.2, pp.1-6, dio:10.4172/2168-9679.1000153.
• [10] Baoku I.G. (2014): Effects of suction and thermal radiation on heat transfer in a third grade fluid over a vertical plate. Physical Science International Journal, vol.4, No.9, pp.1293-1310.
• [11] Gul T., Islam S., Shah R.A., Khan I. and Shafie S. (2014): Thin film flow in MHD third grade fluid on a vertical belt with temperature dependent viscosity. PLOS ONE, vol.9, No.6, e97552.
• [12] Hayat T., Shafiq A. and Alsaedi A. (2014): Effect of Joule heating and thermal radiation in flow of third grade fluid over radiative surface. PLOS ONE, vol.9, No.1, e83153.
• [13] Rasheed H., Gul T., Islam S., Nasir S., Khan M.A. and Gul A. (2014): Study of Couette and Poiseuille flows of an unsteady MHD third grade fluid. J. Appl. Environ. Biol. Sci.,vol.4, No.10, pp.12-21.
• [14] Shah S.A., Gul T., Islam S., Nasir S., Khan M.A. and Shah R.A. (2014): HPM solution of an unsteady non-Newtonian fluid between stationary and oscilating plates. J. Appl. Environ. Biol. Sci., vol.4, No.12, pp.203-212.
• [15] Hayat T., Shafiq A. and Alsaedi A. and Asghar S. (2015): Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity. AIP Advances, vol.5, 087108(1-15).
• [16] Makinde O.D., Egunjobi A.S. and Tshehla M.S. (2015): Thermodynamics analysis of variable viscosity hydromagnetic Couette flow in a rotating system with hall effects. Entropy, vol.17, pp.7811-7826.
• [17] Nasir S., Gul T., Islam S., Shah R.A. (2015): Unsteady MHD flow and heat transfer of third grade fluid past on oscillating inclined belt. Science Postprint, vol.1, No.2, 200045.
• [18] Ghani F., Gul T., Islam S., Shah R.A., Khan I., Sharida S., Nasir S. and Khan M.A. (2016): Unsteady magnetohydrodynamics thin film flow of a third grade fluid over an oscillating inclined belt embedded in a porous medium. Thermal Science, vol.5, pp.875-887.
• [19] Kumar M.S., Sandeep N. and Kumar B.R. (2016): Effect of nonlinear thermal radiation on unsteady MHD flow between parallel plate. Global Journal of Pure and Applied Mathematics, vol.2, No.1, pp.0973-1768.
• [20] Hradyesh K.M. and Atulya K.N. (2012): He-Laplace method for linear and nonlinear partial differential equations. Journal of Applied Mathematics, pp.1-16.
• [21] Ghorbani A. and Saberi-Nadjafi J. (2007): He's homotopy perturbation method for calculating Adomian polynomial. International Journal of Nonlinear Science and Numerical Simulation, vol.8, pp.229-232.
• [22] Ghorbani A. (2009): Beyond Adomian polynomials: He polynomials. Chaos Solitons and Fractals, vol.39, No.3, pp.1486-1492.