Unsteady MHD nonlinear radiative squeezing slip-flow of Casson fluid between parallel disks

M, Sathish Kumar; N, Sandeep; B, Rushi Kumar

doi:10.22061/jcarme.2017.644

Document Type : Research Paper

Authors

VIT University

https://doi.org/10.22061/jcarme.2017.644

Abstract

Effect of nonlinear thermal radiation on the unsteady magnetohydrodynamic slip flow of Casson fluid between parallel disks in the presence of thermophoresis and Brownian motion effects are investigated numerically. A similarity transformation is employed to reduce the governing partial differential equations into ordinary differential equations. Further, Runge-Kutta and Newton’s methods are adopted to solve the reduced ordinary differential equations. The effect of non-dimensional governing parameters, namely magnetic field parameter, Casson parameter, thermophoresis parameter, Brownian motion parameter, thermal radiation parameter, unsteadiness parameter, velocity slip parameter and temperature slip parameter on velocity, temperature and concentration fields are discussed and presented through graphs. Reduced Nusselt and Sherwood numbers are computed and presented through a table. It is found that rising values of nonlinear thermal radiation parameter depreciate the reduced Nusselt and Sherwood numbers. Thermophoresis and Brownian motion parameters have tendency to regulate the thermal and concentration boundary layers. Rising values of Casson parameter enhances the heat and mass transfer rate.

Graphical Abstract

Keywords

20.1001.1.22287922.2017.7.1.3.7

Main Subjects

Heat and Mass Transfer

References

[1]. M. J. Stefan, “Versuch Uber die scheinbare adhesion, Sitzungsberichte der akademie der Wissenschaften in Wien”, Mathematik- Naturwissen, Vol. 69, pp. 713-721, (1874).

[2]. J. D. Jackson, “A study of squeezing flow”, Applied Science Research A, Vol. 11, pp. 148-152, (1962).

[3]. S. Ishizawa, “The unsteady flow between two parallel discs with arbitrary varying gap width”, Bulletin of the Japan Society of Mathematical Engineers, Vol.9, pp. 533-550, (1966).

[4]. R. J. Grimm, “Squeezing flows of Newtonian liquid films an analysis include the fluid inertia”, Applied Scientific Research, Vol.32, pp. 149- 166, (1976).

[5]. M.H. Hamdan and R.M. Baron, “Analysis of squeezing flow of dusty fluids”,Applied Scientifc Research, Vol. 49, pp.345-354, (1992).

[6]. C.Y. Wang and R. Sridharan, “Arbitrary squeezing of a viscous fluid between elliptic plates”, Fluid Dynamics Research, Vol. 18, pp. 35-51, (1996).

[7]. H.M. Duwairi, B. Tashtoush and R.A. Damseh, “On heat transfer effects in a viscous fluid squeezed and extruded between two parallel plates”, Heat and Mass Transfer, Vol. 41, pp. 112-117, (2004).

[8]. Khan, Ahmed, Z.A. Zaidi, Mir Asadullah and Syed Tauseef MohyudDin, “MHD squeezing flow between two infinite plates”, Ain Shams Engineering Journals, Vol. 5, pp. 187- 192, (2014).

[9]. S.Nadeem, R.L. Haq, N.S. Akbar and Z.H. Khan, “MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet”, Alexandria. Engineering Journal., Vol. 52, pp. 577- 582, (2013).

[10]. S.K. Raju, N. Sandeep and M. Gnaneswara Reddy, “Effect of nonlinear thermal radiation on 3D Jeffrey fluid flow in the presence of homogeneousheterogeneous reaction”, International journal of Engineering Research in Africa, Vol. 21, pp.52-68, (2015).

[11]. M.Mustafa, T. Hayat and S. Obaidat, “On heat and mass transfer in the unsteady squeezing flow between parallel plates”, Meccanica, Vol. 47, pp. 1581-1589, (2012).

[12]. S. Islam, Murad Ullaii, Gul Zaman and M. Idrees, “Approximate solution to MHD squeezing fluid flow”, Journal of Applied Mathematics & Informatics, Vol. 29, pp. 1081-1096, (2011).

[13]. S.Nadeem, R.U. Haq and N.S. Akbar, “MHD three dimensional boundary layer flow of Casson nanofluid past a linearly stretching sheet with convective boundary condition”,IEEE Transactions on NanoTechnogy, Vol.13, pp.109-115, (2014).

[14]. M.Hatami, Dengwei jing, Dongxing song, M.Sheikholeslami and D.D. Ganji, “Heat transfer and flow analysis of nanofluid flow between parallel plates in the presence of variable magnetic field using HPM”, Journal of Magnetism and Magnetic, Vol. 396, pp. 275-282, (2015).

[15]. G.Domairry and A.Aziz, “Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method”, Mathematical Problems in Engineering., (2009).

[16]. M. Mustafa, T. Hayat, I. Pop and A. Hendi, “Stagnation-point flow and heat transfer of a Casson fluid towards a stretching sheet”, Zeitschrift fur Naturforschung A, Vol. 67, pp. 70-76, (2012).

[17]. Mohammad Mehdi Rashidi, Behnam Rostami, Navid Freidoonimehr and Saeid Abbasbandy, “Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects”, Ain Shams Engineering Journal, Vol. 2, pp. 901-912, (2014).

[18]. A.K. Abdul Hakeem, R. Kalaivanan, N. Vishnu Ganesh and B. Ganga, “Effect of partial slip on hydro magnetic flow over a porous stretching sheet with nonuniform heat source/sink, thermal radiation and wall mass transfer”, Ain Shams EngineeringJournal, Vol.5, pp. 913-922, (2014).

[19]. M. Sheikholeslami and D. D. Ganji, “Unsteady Nano fluid flow and heat transfer in presence of magnetic field considering thermal radiation”, Journal of the Brazilian Society of Mathematical Sciences and Engineering, Vol. 37, pp. 895-902, (2014).

[20]. C.Sulochana, M.K. Kishore Kumar, N. Sandeep, “Radiation and chemical reaction effects on MHD thermosolutal Nano fluid flow over a vertical plate in porous medium”, Chemical and Process Engineering Research, Vol.34, pp. 28- 37, (2015).

[21]. M. Sheikholeslami, M. Hatami and G. Domairry, “Numerical simulation of two phase unsteady nanofluid flow and heat transfer between parallel plates in the presence of time dependent magnetic field”, Journal of the Taiwan Institute of Chemical Engineers, Vol. 46, pp. 43-50, (2015).

[22]. M. Sathish Kumar, N.Sandeep and B. Rushi Kumar, “Effect of nonlinear thermal radiation on unsteady MHD flow between parallel plates”, Global Journal of Pure and Applied Mathematics, Vol. 12, pp. 60-65, (2016).

[23]. N.Sandeep, “Effect of Aligned Magnetic field on liquid thin film flow of magnetic-nanofluid embedded with graphene nanoparticles”, Advanced Powder Technology, Vol. 28, pp. 865– 875, (2017).

[24]. M. JayachandraBabu, N.Sandeep, “UCM flow across a melting surface in the presence of double stratification and cross-diffusion effects”, Journal of Molecular Liquids, Vol. 232, pp. 27-35, ( 2017).

[25]. G.Kumaran, N.Sandeep, “Thermophoresis and Brownian moment effects on parabolic flow of MHD Casson and Williamson fluids with cross diffusion”, Journal of Molecular Liquids, Vol. 233, pp. 262- 269, (2017).

[26]. J.V. Ramana Reddy, V. Sugunamma, N. Sandeep, “Effect of frictional heating on radiativeferrofluid flow over a slendering stretching sheet with aligned magnetic field”, Europen Physical Journal Plus, Vol. 132, PP. 7, (2017).

Name *

Email Address *

Affiliation *

Comments *

Security Code *

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

Unsteady MHD nonlinear radiative squeezing slip-flow of Casson fluid between parallel disks

References

References

Send comment about this article

Volume 7, Issue 1 - Serial Number 13
August 2017
Pages 35-45

Unsteady MHD nonlinear radiative squeezing slip-flow of Casson fluid between parallel disks

References

References

Send comment about this article

Volume 7, Issue 1 - Serial Number 13August 2017Pages 35-45

Volume 7, Issue 1 - Serial Number 13
August 2017
Pages 35-45