Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Document Type : Research Paper

Authors

¹ Research Scholar, Department of Mathematics, K L Educational Foundation Vaddeswaram, Guntur(Dt), 502522, India

² Department of Mathematics, GITAM (Deemed to be University, Visakhapatnam, Andhra Pradesh- 530045., India

³ Department of Basic Sciences and Humanities, VIGNAN’s Institute of Engineering for Women, Visakhapatnam, Andhra Pradesh-530049, India

https://doi.org/10.22061/jcarme.2020.2599.1258

Abstract

Due to the presence of rheological flow parameters and viscoelastic properties, non-Newtonian fluid structure is intricate and enticing to investigate. The flow has been made by considering variable temperature and radiation effects for the magnetohydrodynamic viscoelastic liquid past a moving vertical plate in a porous state. First order homogeneous chemical reaction, Soret number, variable temperature and concentration have been taken into account. The leading mathematical proclamation is handled analytically by perturbation strategy. The central aspiration of this work is to explore the consequences of sundry parameters on fluid flow, thermal boundary and concentration profiles. Diagram and tabular trends of the profiles are delineated with apropos parameters. Our sketches illustrate that the velocity profile exposes decelerate scenery with escalating M due to the Lorentz force in the opposite direction of flow. Temperature profile is getting accelerated owing to thermal radiation and concentration distribution is declined by boosting up the chemical reaction and Schmidt number. Diminishing nature of momentum boundary layer with Sc is also portrayed. Furthermore, at the end of this paper the effects of different parameters on skin fricition coefficient and local Nusselt number are investigated.

Graphical Abstract

Keywords

dor

20.1001.1.22287922.2021.10.2.17.8

Main Subjects

Fluid Mechanics

References

[1] D. W. Beard, and K. Walters,“Elastic-viscous boundary layer flow two dimensional flows near a stagnation point”. Mathematical proceedings of the Cambridge philosophical society, Vol. 60, No. 3, pp. 667–674, (1964).

[2] A. K. Singh, H. R. Gholami, and V. M. Soudalgekar,“Transientfree convection flow between two vertical parallel plates”, Heat and mass transfer, Vol. 31, No. 5, pp. 329–331, (1996).

[3] M. Sajid, I. Pop, and T. Hayat,“Fully developed mixed convection flow of a Visco-elastic fluid between permeable parallel vertical plates”, Computers and mathematics with applications, Vol. 59, No.1,pp.493–498,(2010).

[4] S. Asghar, M. R. Mohyuddin, T. Hayat, and A.M. Siddiqui,“The flow of a non-Newtonian fluid induced due to the oscillations of a porous plate”, Mathematical problems in engineering, Vol. 2004, No. 2, pp. 133–143, (2004).

[5] T. Hayat, M. R. Mohyuddin, S. Asher, and A. MSiddiqui,“The flow of a visco-elastic fluid on an oscillating plate”, Journal of applied mathematics and mechanics, Vol. 84, No. 1, pp. 65–70, (2004).

[6] C. H. Chen,“Heat and mass transfer effects with variable wall temperature and concentration”, Acta mathematica, Vol. 172, No. 3–4, (2004).

[7] A. J. Chamkha,“Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption”, International journal of engineering science, Vol.42, No. 2, pp.217–230, (2004).

[8] M. A. Seddeek, and F. A. Salama, “The effect of temperature dependent viscosity and thermal conductivity on unsteady MHD convective heat transfer past a semi-infinite vertical porous plate”, Computational materials science, Vol. 40, No.2,pp.186–192,(2007).

[9] B. K.Thakar, “Natural convection in unsteady MHD couette flow”, Heat and mass transfer, Vol. 37, No. 4–5, pp.329-331,(2001).

[10] M. S. Abel, A. Joshi, and R. M. Sonth, “Heat transfer in MHD visco-elastic fluid flow over a stretching surface”,Journal of applied mathematics and mechanics, Vol. 81, No. 10, pp.691–698, (2001).

[11] R. Sivraj, and B. R. Kumar, “Unsteady MHD dusty Visco-elastic fluid Couette flow in an irregular channel with varying mass diffusion”, International journal of heat and mass transfer, Vol. 55, No. 11-12, pp. 3076–3089, (2012).

[12] S. Abel, and P. H. Veena,“Visco-Elastic Fluid Flow and Heat Transfer in Porous Medium over a Stretching Sheet”, International journal of non-linear mechanics, Vol. 33, No. pp.531–540, (1998).

[13] G. C. Dash, P. K. Rath, N. Mohapatra, and P. K. Dash, “Free convective MHD flow through porous media of a rotating Visco-elastic fluid past an infinite vertical porous plate with heat and mass transfer in the presence of chemical reaction”, Modelling, measurement and Control B, Vol.78, No. 4, pp. 21–37, (2009).

[14] I. U. , and A. Ogulu, “Heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous plate in the presence of radiative heat transfer”, International journal of heat and mass transfer, Vol. 50, No. 9-10, pp.1902–1908, (2007).

[15] S.Suneetha, N. B. Reddy, and V. R. Prasad,“Radiation and mass transfer effects on MHD free convective dissipative fluid in the presence of heat source/sink”, Journal of applied and fluid mechanics, Vol.4, No. 1, pp.107–113, (2010).

[16] T. S. Reddy, M. C. Raju, and S. V. K. Varma,“Chemical reaction and radiation effects on MHD free convection flow through a porous medium bounded by a vertical surface with constant heat and mass flux”, Journal of computational and Applied research in Mechanical Engineering, Vol. 3, No. 1, pp. 53–62, (2013).

[17] S. Ahmed,“Influence of chemical reaction on transient MHD free Convective flow over a vertical plate in slip-flow Regime”, Emirates Journal for Engineering Research, Vol.15, No. 1, pp. 25–34, (2010).

[18] N. Sandeep, A. V. B. Reddy, and V. Sugunamma,“Effect of radiation and chemical Reaction on transient MHD free convective flow over a vertical plate through porous media”, Chemical and process engineering research, Vol. 2, pp. 1–9, (2012).

[19] F. S. Ibrahim, A. M. Elaiw, and A. A. Bak, “Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi-infinite vertical permeable moving plate with heat source and suction”, Communication in non-linear science and numerical simulation, Vol.13. No. 6, pp. 1056–1066, (2008).

[20] K. Ramesh Babu, B. Venkateswarlu, and P. V. Satya Narayana,” Effects of chemical reaction and radiation on MHD flow of a viscous fluid in a vertical channel with non-uniform concentration”, International journal of mathematics and computational Science, Vol.2, No. 1, pp. 34–42, (2016).

[21] B. Venkateswarlu, and P. V. S. Satya Narayana, “MHD viscoelastic fluid flow over a continuously moving vertical surface with chemical reaction”, Walailak journal of science and technology, Vol. 12. No. 9, pp. 775-783, (2015).

[22] K. Ramesh Babu, B. Venkateswarlu and P.V. Satya Narayana, “Effects of chemical reaction and radiation absorption on mixed convective flow in a circular annulus at constant heat and mass flux”, Advances in applied science research, Vol. 5, No. 5, pp.122–138,(2014).

[23] P. V. Satya Narayana, B. Venkateswarlu, and S. Venkataramana, “Chemical reaction and Radiation absorption effects on MHD micropolar fluid past a vertical porous plate in a rotating system”, Journal of energy,heat and mass transfer, Vol. 35, N0. 3, pp.197–214, (2013).

[24] S. S. Saxena, and G.K. Dubey,” Heat and mass transfer effects on MHD free convection flow of a visco-elastic fluid embedded in porous medium with variable permeability in the presence of radiation and heat source in slip flow regime”, Advances in applied science research , Vol. 2. No. 5, pp. 115–126, (2011).

[25] M . Mahanta, and R. Choudhury,“Mixed convective MHD flow of visco-elastic fluid past a vertical infinite plate with mass transfer”, International journal of scientific and engineering research,Vol. 3, No. 2, pp.1–7,2012).

[26] R. Choudhury and U . J . Das,“Visco-elastic effects on free convective three dimensional flow with heat and mass transfer”, ISRN computational Mathematics, Vol. 2012, pp. 402037–8, (2012).

[27] R. Choudhury, and S . Purkayastha, “Elastico-viscous effects on an oscillatory heat and mass transfer flow past a vertical plate with thermal diffusion and periodic suction velocity”, International journal of advanced scientific and technical research, Vol. 2, No. 5, pp. 215–232, (2012).

[28] R. Choudhury, and D . Dey,“Mixed convective MHD flow with heat and mass transfer of an elastic-viscous fluid from a vertical surface with ohmic heating in presence of radiation”, Journal of fluids and thermal Sciences, Vol.1, No. 2, pp. 131–143, (2012).

[29] R. Choudhury and D. Dey,“Free convective elastic-viscous fluid flow with heat and mass transfer past an inclined plate in slip flow regime”, Latin american applied research, Vol. 42, No. 4, pp.327–332.(2012).

[30] R. Choudhury, and P. Dhar,“Diffusion thermo effects of visco-elastic fluid past a vertical porous surface in presence of magnetic field and radiation”, Internationaljournal of innovative research in science, engineering and technology, Vol. 2, No. 3, pp. 805–812, (2013).

[31] S. M. Ibrahim, and K. Suneetha,“Effects of heat generation and thermal radiation on steady MHD flow near a stagnation point on a linear stretching sheet in porous medium and presence of variable thermal conductivity and mass transfer”, Journal of computational and applied research in mechanical engineering, Vol. 4, No. 2, pp.133–144,(2015).

[32] S. M. Ibrahim, and K. Suneetha,“Effects of thermal diffusion and chemical reaction on MHD transient free convection flow past a porous vertical plate with radiation, temperature gradient dependent heat source in slip flow regime”, Journal of computational and applied reaserch in mechanical engineering, Vol. 5, No. 2, pp. 83–95,(2016).

[33] S. M. Ibrahim, and K. Suneetha,“Influence of thermo–diffusion and heat source on MHD Free convective radiating boundary layer of of chemically reacting fluid flow in a porous vertical surface”, Journal of advances in applied mathematics, Vol .1, (2016).

[34] S. M. Ibrahim, and K. Suneetha, ” Influence of chemical reaction and heat source on MHD free convection boundary layer flow of radiation absorbing kuvshinshiki fluid in porous medium”, Asian journal of mathematics and computer research, Vol.3, No. 2, pp. 87–103,(2015).

[35] P.V Satya Narayana, B. Venkateswarlu, and B. Devika,”Chemical reaction and heat source effects on MHD oscillatory flow in an irregular channel”, Ain shams engineering journal, Vol. 7, pp. 1079–1088,(2016).

[36] B. Venkateswarlu, P.V Satya Narayana, and B. Devika,”Effects of chemical reaction and heat source on MHD oscillatory flow with heat and mass transfer of a viscoelastic fluid in a vertical channel with porous medium”, International journal of applied computational mathematics, Vol. 3, No. 1, pp.937–952,(2017).

[37] G. Stangle, and I. Aksay, “Simultaneous momentum, heat and mass transfer with chemical reaction in a disordered porous medium: application to binder removal from a ceramic green body”, Chemical engineering science, Vol. 45. No. 7, 1990, pp.1719–1731,(1990).

[38] R. Muthucumarswamy,“First order chemical reaction on exponentially accelerated isothermal vertical plate with mass diffusion“, Annals faculty of engineering, Hunedoara, journal of engineering, Tome, Vol.7, No.1, pp. 47–50,(2009).

[39] Hari Mohan, “The Soret effect on the rotator thermosolutal convection of the veronis type”, Ind. J. Pure and Appl. Math, Vol.26, pp.609-619,1996.

[40] Platterrn.J.K and Charepeyer.G, “Oscillatory motion in Bernard cell due to the Soret effect”, J. Fluid Mech, Vol.60, pp.305-319,1973.

[41] Pavan kumar.C, Rajeswara Rao.U and Prasad Rao.D.R , “Chemical reaction and thermo diffusion effects on Hydromagentic free convective water’s memory flow with constant suction and heat sink”, International Journal of Mathematical Archive, Vol.4.N0.7, pp.84-194, 2013.

[42] David Jacqmin, “parallel flows with Soret effect in tilted cylinders”, J. Fluid Mech, Vol.211, pp.335-372,(1990).

[43] Hurle.D.T and Jakeman.E, “Significance of the Soret effect in the Rayleigh-Jeffrey’s problem”, Royal Radar establishment, England, (1971).

[44] K. R. Babu, A Parandhama, K. Venkateswara Raju, M. C. Raju, and P. V. Satya Narayana,”Unsteady MHD free convective flow of a visco-elastic fluid past an infinite vertical porous moving plate with variable temperature and concentration”, International journal of applied and computational mathematics,Vol. 3, No. 4, pp. 3411–3431, (2017).

Name *

Email Address *

Affiliation *

Comments *

Security Code *

CAPTCHA Image