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Influence of Induced Magnetic Field and Radiation on Free Convective Jeffrey Fluid Flow between two Parallel Porous Plates with Soret and Dufour Effects

Published online by Cambridge University Press:  14 April 2019

Odelu Ojjela Open the ORCID record for Odelu Ojjela [Opens in a new window] ,
Adigoppula Raju  and
N. Naresh Kumar
Odelu Ojjela*
Affiliation:
Department of Applied Mathematics, Defence Institute of Advanced Technology (Deemed University), Pune, India
Adigoppula Raju
Affiliation:
Department of Applied Mathematics, Defence Institute of Advanced Technology (Deemed University), Pune, India
N. Naresh Kumar
Affiliation:
Department of Mathematics, SASTRA (Deemed to be University), Thanjavur, India
*
* Corresponding author (odelu@diat.ac.in ; odelu3@yahoo.co.in (Odelu Ojjela))
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Abstract

The present article deals with the influence of the induced magnetic field on an unsteady two dimensional incompressible free convective chemically reacting slip flow of Jeffrey fluid between two parallel plates under the influence of the thermal radiation, Soret and Dufour. It is assumed that the flow is generated due to periodic suction/injection and the non-uniform temperature and concentrations are varying periodically with time at the plates. The governing partial differential equations are reduced into nonlinear ordinary differential equations by using similarity transformations and solved by shooting method along with Rung-Kutta 4th order scheme. The results are analyzed for various flows, heat and mass transfer characteristics with respect to various prominent parameters such as the ratio of relaxation to retardation times, Deborah number, magnetic Reynold’s number, Strommer’s number, radiation parameter, chemical reaction parameter, Soret and Dufour numbers in details through graphs and tables. It is observed that the temperature of the fluid is enhanced with Soret and Dufour whereas the concentration is decreased. Also the mass transfer rate of the fluid is enhanced with Strommer’s number, whereas the heat transfer rate decreases with increasing of the Jeffery fluid parameter. The present results have good agreement with published work for Newtonian case.

Keywords

Jeffrey fluidinduced magnetic fieldradiationchemical reactionfree convectionSoret and Dufour
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 5 , October 2019 , pp. 657 - 675
Copyright
© The Society of Theoretical and Applied Mechanics 2019 

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References

REFERENCES

Berman, A. S “Laminar Flow in Channels with Porous Walls,” Journal of Applied Physics, 24 pp. 1232–1235 (1953).CrossRefGoogle Scholar
Sellars Jr, “Laminar Flow in Channels with Porous walls at High Suction Reynolds Numbers”, Journal of Applied Physics, 26, pp. 489–90 (1955).CrossRefGoogle Scholar
Terrill, R. M, and Shrestha, G.M. “Laminar Flow through a Channel with Uniformly Porous walls of different Permeability”, Applied Science Research, 15, pp. 440–468 (1965).Google Scholar
Stephen Cox, M., “Two dimensional Flow of a Viscous Fluid in a Channel with Porous Walls”, Journal of Fluid Mechanics, 227, pp. 1–33 (1991).Google Scholar
Bujurke, N. M, Madalli, V. S, and Mulimani, B. G. “Long Series Analysis of Laminar Flow through Parallel and Uniformly Porous walls of Different Permeability”, Computer Methods in Applied Mechanics and Engineering, 160, pp. 39–56 (1998).CrossRefGoogle Scholar
Attia, A., “The effect of Suction and Injection on the Unsteady Flow between two Parallel Plates with variable Properties”, Tamkang Journal of Science and Engineering, 8 pp. 17–22. (2005).Google Scholar
Ramana Murthy, J. V., Srinivasa charyulu, N. and Odelu, O., “Viscous fluid flow between two Parallel Plates with periodic suction and injection”, AMSE (B-Series, Modeling), 50, pp. 29–37 (2007).Google Scholar
Odelu, O. and Naresh Kumar, N., “Unsteady MHD Flow and Heat Transfer of Micropolar Fluid in a Porous Medium between Parallel plates”, Candian Journal of Physics, 93, pp. 880–887 (2015).Google Scholar
Hayat, T., Sajjad, R., and Asghar, S., “Series Solution for MHD Channel Flow of a Jeffery Fluid”, Commun Nonlinear Sci Numer Simulat, 15, pp. 2400–2406 (2010).CrossRefGoogle Scholar
Mekheimer, K., Husseny, S. Z., Ali, A. T. and Abo-Elkhair, R. E. “Lie point symmetries and Similarity Solutions for an Electrically Conducting Jeffrey Fluid”, Physica Scripta, 83, pp. 015017 (2011).Google Scholar
Hayat, T., Iqbal, Z., Mustafa, M. and Alsaedi, A., “Stagnation-point flow of Jeffrey Fluid with Melting Heat Transfer and Soret and Dufour Effects”, International Journal Numerical Methods For Heat and Fluid Flow, 24, pp. 402–18 (2014).CrossRefGoogle Scholar
Akram, S. and Nadeem, S., “Influence of Induced Magnetic Field and Heat Transfer on the Peristaltic motion of a Jeffrey Fluid in an Asymmetric Channel: closed form solutions”, Journal Magnetism & Magnetic Materials, 328, pp. 11–20 (2013).CrossRefGoogle Scholar
Hayat, T., Asad, S., Alsaedi, A. and Alsaadi, F. E., “Rediative Flow of Jeffrey Fluid through a Convec-tively Heated Stretching Cylinder”, Journal of Mechanics, 31, pp. 69–78 (2014).Google Scholar
Ashraf, M. B., Hayat, T., Alsaedi, T. and Shehzad, S. A. “Convective heat and mass transfer in MHD mixed convection flow of Jeffrey nanofluid over a Radially Stretching Surface with Thermal Radiation”, Journal Central south university, 22, pp. 1114–23 (2015).CrossRefGoogle Scholar
Das, K., Acharya, N. and Kundu, P. K., “Radiative flow of MHD Jeffrey Fluid past a Stretching sheet with Surface Slip and Melting Heat Transfer”, Alexandria Engineering Journal, 54, pp. 815–821 (2015).CrossRefGoogle Scholar
Ravikiran, G. and Radhakrishnamacharya, G., “Effect of Homogeneous and Heterogeneous Chemical Reactions on Peristaltic Transport of a Jeffrey Fluid through a Porous Medium with slip Condition”, Journal of Applied Fluid Mechanics, 8, pp. 521–528 (2015).Google Scholar
Krishna Murthy, M., “MHD Couette Flow of Jeffrey Fluid in a Porous Channel with Heat Source and Chemical Reaction”, Mid-East Journal of Scientific Research, 24, pp. 585–592 (2016).Google Scholar
Fraooq, M., Gull, N., Alsaedi, A. and Hayat, T., “MHD flow of a Jeffrey Fluid with Newtonian Heating”, Journal of Mechanics, 31, pp. 319–329 (2015).CrossRefGoogle Scholar
Harish Babu, D. and Satya Narayana, P. V., “Joule Heating Effects on MHD Mixed Convection of a Jeffrey Fluid over a Stretching sheet with Power law Heat Flux: A Numerical Study”, Journal of Magnetism & Magnetic Materials, 412, pp. 185–193 (2016).CrossRefGoogle Scholar
Narayana, P. V., Babu, D. and Venkateswarlu, B., “Soret and Dufour effects on MHD Radiative Heat and Mass Transfer Flow of a Jeffrey Fluid over a Stretching Sheet”, Frontiers in Heat and Mass Transfer, 8, pp. 1–9 (2017).CrossRefGoogle Scholar
Chandra Sekhar, B., Kishan, N. and Haritha, C., “Convection in Nanofluid-Filled Porous Cavity with Heat Absorption/Generation and Radiation”, Journal of Thermophysics and Heat Transfer, 31, pp. 549–562 (2016).Google Scholar
Denno, K.I., “Effects of the induced magnetic field on the in viscid magnetohydrodynamic channel flow”, Iowa State University of Science and Technology, U.S.A. (1967).Google Scholar
Singh, N. P. and Singh, Atul Kumar, “MHD Effects on Flow of Viscous Fluid with Induced Magnetic Field”, Indian Journal of Pure and Applied Physics, 39, pp. 240–245 (2001).Google Scholar
Mekheimer, K.S., “Effect of the Induced Magnetic Field on Peristaltic Flow of a Couple Stress Fluid”, Physics Letters A. 372, pp. 4271–4278 (2008).CrossRefGoogle Scholar
Nadeem, S. and Akbar, N. S., “Effects of Induced Magnetic Field on Peristaltic Flow of Johnson-Segal-man fluid in a Vertical Symmetric Channel”, Applied Mathematics and Machines, 31, pp. 969–978 (2010).Google Scholar
Hayat, T., Noreen, S. and Alsaedi, A. “Effect of an Induced Magnetic Field on Peristaltic Flow of non-Newtonian Fluid in a Curved Channel”, Journal of Machines in Medicine and Biology, 12, pp. 1250058–1250084 (2012).Google Scholar
Sandeep, N., Sulochana, C. and Isaac Lare, A., “Stagnation-point Flow of a Jeffrey nanofluid over a Stretching Surface with Induced Magnetic Field and Chemical Reaction”, International Journal Engineering Research in Africa, 20, pp. 93–11 (2016).CrossRefGoogle Scholar
Odelu, O., Raju, A. and Pravin Kashyap, K., “Influence of Thermophoresis and Induced Magnetic Field on Chemically Reaction Mixed Convective Flow of Jeffrey Fluid Between Porous Parallel Plates”, Journal of Molecular Liquids, 232, pp. 195–206 (2017).Google Scholar
Agha, H. A., Bouaziz, M. N., and Hanini, S., “Mag-netohydrodynamic, thermal radiation and convective boundary effects of free convection flow past a vertical plate embedded in a porous medium saturated with a nanofluid”, Journal ofMechanics, 31, pp. 607–616 (2015).Google Scholar
Judosn, R Baron, “Thermal Diffusion Effects in Mass Transfer”, International Journal Heat Mass Transfer, 6, pp. 1025–1033 (1963).Google Scholar
Srinivasacharya, D. and RamReddy, Ch., “Soret and Dufour effects on mixed convection in a non-Darcy Porous Medium Saturated with Micropolar Fluid”, Nonlinear Analysis: Modelling and Control, 16, pp. 100–115 (2011).CrossRefGoogle Scholar
Balla, C. S. and Naikoti, K., “Soret and Dufour effects on free convective heat and solute transfer in fluid saturated inclined porous cavity”, Engineering Science and Technology, An International Journal, 18, pp. 543–554 (2015).Google Scholar
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, pp. 1467–1472 (2004).CrossRefGoogle Scholar
Alam, M. S. and Rahman, M. M., “Dufour and Soret Effects on Mixed Convection Flow past a Vertical Porous Flat plate with Variable Suction”, Nonlinear Analysis: Modelling and Control, 11, pp. 3–12 (2006).CrossRefGoogle Scholar
Devi, S. A. and Devi, R. U. “Soret and Dufour Effects on MHD Slip Flow with Thermal Radiation over a Porous Rotating Infinite Disk”, Commun Nonlinear Sci Numer Simulat, 16, pp. 1917–30 (2011).CrossRefGoogle Scholar
Abdel-Rahman, R. G. and Megahed, A. M., “Lie Group Analysis for a Mixed Convective Flow and Heat Mass Transfer over a Permeable Stretching Surface with Soret and Dufour effects”, Journal of Mechanics, 30, pp. 67–75 (2013).CrossRefGoogle Scholar
Ojjela, O. and Naresh Kumar, N., “Unsteady MHD Mixed Convective Flow of Chemically Reacting and Radiating Couple Stress Fluid in a Porous Medium Between Parallel Plates with Soret and Dufour Effects”, Arabian Journal Science and Engineering, 41, pp. 1941–53 (2016).CrossRefGoogle Scholar
Raju, R. S., Reddy, G. J., Rao, J. A. and Rashidi, M. M. “Thermal Diffusion and Diffusion Thermo Effects on an unsteady Heat and Mass Transfer Magnetohy-drodynamic Natural Convection Couette Flow using FEM“, Journal of Computational Design and Engineering, 3, pp. 349–362 (2016).Google Scholar
Shehzad, S. A., Abdullah, Z., Alsaedi, A., Abbasi, F. M. and Hayat, T., “Thermally Radiative Three-dimensional Flow of Jeffrey Nanofluid with Internal Heat Generation and Magnetic Field”, Journal of Magnetism and Magnetic Materials, 397, pp. 108–114 (2016).Google Scholar
Shekar, B. C., Kishan, N. and Chamkha, A. J., “Soret and Dufour Effects on MHD Natural Convective Heat and Solute Transfer in a Fluid-Saturated Porous Cavity”, Journal of Porous Media, 19, pp. 1–17 (2016).CrossRefGoogle Scholar
Alsaadi, F.E., Shehzad, S.A., Hayat, T. and Monaquel, S.J., “Soret and Dufour effects on the unsteady mixed convection flow over a stretching surface”, Journal of Mechanics, 29, pp. 623–632 (2013).CrossRefGoogle Scholar
Rao, I. J., and Rajagopal, K. R.. “The effect of the slip boundary condition on the flow of fluids in a channel.” Acta Mechanica 135, pp. 113–126 (1999).CrossRefGoogle Scholar
Srinivasacharya, D., and Bindu, K. Hima. “Entropy generation in a micropolar fluid flow through an inclined channel with slip and convective boundary conditions.” Energy, 91 pp. 72–83 (2015).CrossRefGoogle Scholar
Ramesh, K. “Influence of heat transfer on Poiseuille flow of MHD Jeffrey fluid through porous medium with slip boundary conditions.” AIP Conference Proceedings, 1860, (2017).Google Scholar