Transient heat and mass transfer of hydromagnetic effects on the flow past a porous medium with movable vertical permeablesheet

• Autorzy: Okedoye A. M. , Salawu S. O.

Identyfikatory

DOI

10.2478/ijame-2020-0057

• Języki publikacji: EN

Abstrakty

EN

An unsteady flow of heat and species transport through a porous medium in an infinite movable vertical permeable flat surface is considered. The hydromagnetic chemical reactive fluid flow is stimulated by the thermal and solutant convection, and propelled by the movement of the surface. The formulated nonlinear flow equations in time space are solved analytically by asymptotic expansions to obtain solutions for the flow momentum, energy and chemical concentration for various thermo-physical parameters. The existence of flow characteristic is defined with the assistance of the flow parameters. In the study, the impact of some pertinent flow terms is reported and discussed. The study revealed that the species boundary layer increases with a generative chemical reaction and decreases with a destructive chemical reaction. Also, arise in the generative species reaction term reduces the flow momentum for the cooling surface. The impact of other flow governing parameters is displayed graphically as well as the fluid wall friction, wall energy and species gradients. The results of this study are important in chemical thermal engineering for monitoring processes to avoid solution blow up.

Słowa kluczowe

EN

movable plate; porosity; suction; perturbation method; MHD flow

PL

porowatość; ssanie; metoda zaburzeń; przepływ MHD

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2020
• Tom: Vol. 25, no. 4
• Strony: 175--190
• Opis fizyczny: Bibliogr. 31 poz., wykr.

Twórcy

autor

Okedoye A. M.

• Department of Mathematics and Computer Science Federal University of Petroleum Resources Effurun, NIGERIA

autor

Salawu S. O.

• Department of Mathematics, Landmark University Omu-aran, NIGERIA

Bibliografia

• [1] Salawu S.O. and Fatunmbe E.O. (2017): Inherent irreversibility of hydromagnetic third-grade reactive Poiseuille flow of a variable viscosity in porous media with convective cooling. − Journal of the Serbian Society for Computational Mechanics, vol.11, pp.46-58.
• [2] Salawu S.O., Adebimpe O. and Olarewanju A.M. (2018): Analysis of radiative heat absorption viscoelastic exothermic chemical reactive fluid with temperature dependent viscosity under bimolecular kinetic. −Transylvanian Review, vol.35, No.32, pp.8339-8346.
• [3] Noghrehabadi A., Ghalambaz M., Izadpanahi E. and Pourrajab R. (2014): Effect of magnetic field on the boundary layer flow, heat, and mass transfer of nanofluids over a stretching cylinder. − Journal of Heat and Mass Transfer Research, vol.1, pp.9-16.
• [4] Das S., Jana R.N. and Chamkha A. (2015): Unsteady free convection flow between two vertical plates with variable temperature and mass diffusion. − Journal of Heat and Mass Transfer Research, vol.2, pp.49-58.
• [5] Kareem R.A., Salawu S.O, and Yubin Yan (2020): Analysis of transient Rivlin-Ericksen fluid and irreversibility of exothermic reactive hydromagnetic variable viscosity. − J. Appl. Computes. Mech., vol.6, No.1, pp.26-36.
• [6] Salawu S.O., Dada M.S. and Fenuga O.J. (2019): Thermal explosion and irreversibility of hydromagnetic reactive couple stress fluid with viscous dissipation and Havier slips.− Theoretical and Applied Mechanics Letters, vol.9, pp.246-253.
• [7] Ogunseye H.A., Salawu S.O., Tijani Y.O., Riliwan M. and Sibanda P. (2019): Dynamical analysis of hydromagnetic Brownian and thermophoresis effects of squeezing Eyring–Powell nanofluid flow with variable thermal conductivity and chemical reaction. − Multidiscipline Modeling in Materials and Structures, vol.15, No.6, pp.1100-1120.
• [8] Salawu S.O., Oladejo N.K. and Dada M.S. (2019): Analysis of unsteady viscous dissipative Poiseuille fluid flow of two-step exothermic chemical reaction through a porous channel with convective cooling. − Ain Sham Journal of Engineering, vol.10, pp.565-572.
• [9] Salawu S.O., Hassan A.R., Abolarinwa A. and Oladejo N.K. (2019): Thermal stability and entropy generation of unsteady reactive hydromagnetic Powell-Eyring fluid with variable electrical and thermal conductivities. −Alexandria Engineering Journal, vol.58, pp.519-529.
• [10] Stokes G.G. (1851): On the effect of the internal friction of fluid on the motion of pendulum. − Transactions Cambridge Philosophical Society, vol.9, pp.8-106.
• [11] Turbatu S., Bühler K and Zierep J. (1998): New solutions of the II Stokes problem for an oscillating flat plate. −Acta Mechanica, vol.129, pp.25-30.
• [12] Soundalgekar V.M., Pohanerkar S.G., Lahurikar R.M. and Birajdar N.S. (1995): Mass transfer effects on flow past a vertical oscillating plate with variable temperature. − Heat and Mass Transfer, vol.30, No.5, pp.309-312.
• [13] Okedoye A.M. and Ayeni R.O. (2007): Numerical solution of heat and mass transfer in MHD flow in the presence of chemical reaction and arrhenius heat generation of a stretched vertical permeable membrane. − J. Nig. Ass. Math. Phy, vol.17, pp.111-118.
• [14] Das S.S., Shaoo S.K. and Dash G.C. (2006). Numerical Solution of Mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction. − Bull. Malays. Math. Sci. Soc., vol.29, pp.33-42.
• [15] Das S.S., Satapathy A., Das J.K and Panda J.P. (2009): Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through a porous medium under oscillatory suction and heat source. − Int. J. of Heat and Mass Transfer, vol.52, pp.5962-5969.
• [16] Salawu S.O. and Dada M.S. (2018): Lie Group Analysis of Soret and Dufour effects on radiative inclined magnetic pressure-driven flow past a Darcy-Forchheimer medium. − Journal of the Serbian Society for Computational Mechanics, vo.12, pp.108-125.
• [17] Soundalgekar V.M., Das U.N. and Deka R.K. (1997): Free convection effects on MHD flow past an infinite vertical oscillating plate with constant heat flux.− Indian Journal of Mathematics, vol.39, No.3, pp.195-202.
• [18] Revankar S.T. (2000): Free convection effect on flow past an impulsively started or oscillating infinite vertical plate.− Mechanics Research Comm., vol.27, pp.241-246.
• [19] Keimanesh R. and Aghanajafi C. (2016): Analysis of radiation heat transfer of a micropolar fluid with variable properties over a stretching sheet in the presence of magnetic field.− Journal of Heat and Mass Transfer Research, vol.1, pp.9-19.
• [20] Rajput U.S. and Kumar S. (2011): MHD flow past an impulsively started vertical plate with variable temperature and mass diffusion.− Applied Mathematical Sciences, vol.53, pp.149-157.
• [21] Moniem A.A. and Hassani W.S. (2013): Solution of MHD flow past a vertical porous plate through a porous medium under oscillatory suction.− Applied Mathematics,vol.4, pp.694-702.
• [22] Ahmed N., Goswami J.K. and Barua D.P. (2013): Effect of chemical reaction on an unsteady MHD flow past an accelerated infinite vertical pate with variable temperature and mass transfer.− Indian journal of Pure and Applied Mathematics, vol.44, No.4, pp.443-466.
• [23] Chen H., Zi Meng, Feng J. and Qingyun He (2014): Effect of electromagnetic coupling on MHD flow in the manifold of fusion liquid metal blanket.− Fusion Engineering and Design, vol.89, pp.29-35.
• [24] Pattnaik J.R., Dash G.C. and Singh S. (2015): Radiation and mass transfer effect on MHD flow through porous medium past an exponentially accelerated inclined plate with variable temperature.− Ain Shams Engineering Journal, vol.8, pp.67-75.
• [25] Abdelraheem A. (2019): Radiation and chemical reaction effects on unsteady coupled heat and mass transfer by free convection from a vertical plate embedded in porous media.−Journal of Heat and Mass Transfer Research, 10.22075/jhmtr.2019.10763.1149.
• [26] Hemamalin P.T. and Kumar N.S. (2015): An unsteady flow past an accelerated infinite vertical plate with the variable temperature and uniform diffusion through the porous medium.− IOSR Journal of Mathematics, vol.11, No.3, pp.78-85.
• [27] Salawu S.O., Ogunseye H.A. and Olanrewaju A.M. (2018): Dynamical analysis of unsteady Poiseuille flow of two-step exothermic non-Newtonian chemical reactive fluid with variable viscosity. − Int. J. of Mechanical Eng. and Techno. vol.9, No.12, pp.596-605.
• [28] Ashish P. (2017): Transient free convective MHD flow past an exponentially accelerated vertical porous plate with variable temperature through a porous medium.− Hindawi International Journal of Engineering Mathematics, vol.23, pp.1-9.
• [29] Okedoye A.M. and Salawu S.O. (2019): Unsteady oscillatory MHD boundary layer flow past a moving plate with mass transfer and binary chemical reaction.− SN Applied Sciences, vol.9, pp.1586.
• [30] Salawu S.O. and Ogunseye H.A. (2020): Entropy generation of a radiative hydromagnetic Powell-Eyring chemical reaction nanofluid with variable conductivity and electric field loading.− Results in Engineering, vol.5, pp.100072.
• [31] Okedoye A.M. and Salawu S.O. (2019): Effect of nonlinear radiative heat and mass transfer on MHD flow over a stretching surface with variable conductivity and viscosity.− Journal of the Serbian Society for Computational Mechanics, vol.13, No.2, pp.87-104. Received: December 23, 2019 R.

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)