Radiative and Viscous Ohmic Dissipation on MHD Tangent Hyperbolic Fluid over a Convectively Heated Sheet in a Suspension of Dust Particles

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The present study deals with steady incompressible magneto hydrodynamic hyperbolic tangent fluid flow induced by a convectively heated stretching surface with the suspension of dust particles, Darcy-Forchheimer, thermal radiation, viscous dissipation and Ohmic heating. Similarity transformations were used to convert partial differential equations (PDEs) to a system of nonlinear ordinary differential equations (NODEs) which are solved numerically by Runge-Kutta Fehlberg method. The effect of pertinent parameters on velocity and temperature profiles of both fluid and dust phase within the boundary layer has been studied by considering various values of controlling parameters. Additionally, the skin friction coefficient and reduced heat transfer coefficient have been examined for various values of the governing parameters. It is found that Hartmann number and Forchheimer parameter reduce friction factor and heat transfer rates.

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Diffusion Foundations (Volume 16)

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177-190

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June 2018

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© 2018 Trans Tech Publications Ltd. All Rights Reserved

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[1] P.G. Saffman, On the stability of a laminar flow of a dusty gas, J. Fluid Mechanics, 131 (1962) 20–128.

Google Scholar

[2] K.L. Krupa Lakshmi, B.J. Gireesha, Rama S R Gorla, B.Mahantesh, Two-phase Boundary Layer Flow , Heat and Mass Transfer of a Dusty Liquid past a Stretching Sheet with Thermal Radiation, Int J. Industrial Mathematics ,Vol. 8, No.3,(2016) 14 pages.

DOI: 10.1007/s00231-014-1477-z

Google Scholar

[3] B.J. Gireesha, G.S. Roopa, C.S. Bagewadi, Effect of viscous dissipation and heat source on flow and heat transfer of dusty fluid over unsteady stretching sheet, Appl Math Mech, 33 (2012) 1001-1014.

DOI: 10.1007/s10483-012-1601-9

Google Scholar

[4] R. Nandkeolyar, G.S. Seth, O.D. Makinde, P. Sibanda, M. S. Ansari, Unsteady hydromagnetic natural convection flow of a dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation, ASME-Journal of Applied Mechanics, 80, 061003(2013).

DOI: 10.1115/1.4023959

Google Scholar

[5] Om Prakash, O.D. Makinde, D. Kumar, Y.K. Dwivedi, Heat transfer to MHD oscillatory dusty fluid flow in a channel filled with a porous medium, Sadhana- Academy Proceedings in Engineering Science , 40(4)(2015)1273-1282.

DOI: 10.1007/s12046-015-0371-9

Google Scholar

[6] M.R. Krishnamurthy, B.J. Gireesha, R.S.R. Gorla, B.C. Prasannakumara, Suspended Particle Effect on Slip Flow and Melting Heat Transfer of Nanofluid Over a Stretching Sheet Embedded in a Porous Medium in the Presence of Nonlinear Thermal Radiation, J. Nanofluids. 5 (2016).

DOI: 10.1166/jon.2016.1247

Google Scholar

[7] B.C. Sakiadis, Boundary Layer Behavior on Continuous Solid Surfaces:II Boundary Layer on a Continuous Flat Surface, AIChE Journal, Vol.7,N02(1961)221-225.

DOI: 10.1002/aic.690070211

Google Scholar

[8] L.J. Crane, Flow past a stretching plate, ZAMP,(1970) 21645-647.

Google Scholar

[9] C.S.K. Raju, N.Sandeep, C.Sulochana,V.Sugunamma, M.JayachandraBabu, Radiation, inclined magnetic field and cross-diffusion effects on flow over a stretching surface, Journal of the Nigerian Mathematical Society, 34(2)(2015) 169-180.

DOI: 10.1016/j.jnnms.2015.02.003

Google Scholar

[10] O. D. Makinde, T. Chinyoka, Numerical investigation of transient heat transfer to hydromagnetic channel flow with radiative heat and convective cooling, Communications in Nonlinear Science and Numerical Simulations , 15(2010)3919-3930.

DOI: 10.1016/j.cnsns.2010.01.013

Google Scholar

[11] C.S.K. Raju, N. Sandeep, M. Jayachandra Babu, V. Sugunamma, Dual solutions for three-dimensional MHD flow of a nanofluid over a nonlinearly permeable stretching sheet, Alexandria Eng. J. 55 (2016) 151–162.

DOI: 10.1016/j.aej.2015.12.017

Google Scholar

[12] S.U. Mamatha, Mahesha, C.S.K. Raju, Multiple Slips ondrodynamic Carreau Dustynano Fluid Over a Stretched Surface with Cattaneo-Christov Heat Flux , J. Nanofluids 6 (2017) 1074–1081.

DOI: 10.1166/jon.2017.1408

Google Scholar

[13] S.U. Mamatha, C.S.K. Raju,G. Madhavi, Mahesha, Unsteady 3D MHD Carreau and Casson Fluids over a Stretching Sheet with Non-Uniform Heat Source/Sink, Chemical Engineering and Process Research, 52(2017) 10-23.

DOI: 10.4028/www.scientific.net/ddf.377.233

Google Scholar

[14] C.S.K. Raju, N. Sandeep, C. Sulochana, M.J. Babu, Dual Solutions of MHD Boundary Layer Flow past an Exponentially Stretching Sheet with Non-Uniform Heat Source / Sink, (2016).

DOI: 10.18869/acadpub.jafm.68.225.24784

Google Scholar

[15] C.S.K. Raju, N. Sandeep, V. Sugunamma, M.J. Babu, J.V.R. Reddy, Heat and mass transfer in magnetohydrodynamic Casson fluid over an exponentially permeable stretching surface, Eng. Sci. Technol. an Int. J. 19 (2016) 45–52.

DOI: 10.1016/j.jestch.2015.05.010

Google Scholar

[16] A. Ishak, R. Nazar, I. Pop, Heat transfer over a stretching surface with variable heat flux in micro polar fluids", Phys. Lett. A. 372(5)(2008)559–61.

DOI: 10.1016/j.physleta.2007.08.003

Google Scholar

[17] M.A. Aziz, Mixed convection flow of a micropolar fluid from an unsteady stretching surface with viscous dissipation, Journal of the Egyptian Mathematical Society 21(2013) 385-394.

DOI: 10.1016/j.joems.2013.02.010

Google Scholar

[18] N. Sandeep, A.J Chamkha, I.L Animasaun, Numerical exploration of magnetohydrodynamic nanofluid flow suspended with magnetite nanoparticles, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(9)(2017) 3635-3644.

DOI: 10.1007/s40430-017-0866-x

Google Scholar

[19] C.S.K. Raju, N. Sandeep, M.J. Babu, J.V.R. Reddy, Stagnation-Point Flow of a Ferrofluid Towards a Stretching Sheet,Journal of Nanofluids. 5 (2016) 1–8.

DOI: 10.1166/jon.2016.1209

Google Scholar

[20] S.U. Mamatha, Mahesha C.S.K. Raju, Cattaneo-Christov on heat and mass transfer of unsteady Eyeing Powell dusty nanofluid over sheet with heat and mass flux conditions, Informatics Med. Unlocked. (2017).

DOI: 10.1016/j.imu.2017.06.001

Google Scholar

[21] S.N. Reddy, G.V. Reddy, M.V.S. Reddy, Peristaltic flow of a hyperbolic tangent fluid through a porous medium in a planar channel, 4 (2013) 28–38.

Google Scholar

[22] T. Hayat, F. Haider, T. Muhammad, A. Alsaedi, Three-dimensional rotating flow of carbon nanotubes with Darcy-Forchheimer porous medium, Plos/one (2017) 1–18.

DOI: 10.1371/journal.pone.0179576

Google Scholar

[23] S. Nadeem, I. Shahzadi, Inspiration of induced magnetic field on nano hyperbolic tangent fluid in a curved channel Inspiration of induced magnetic field on nano hyperbolic tangent fluid in a curved channel, 15110 (2016).

DOI: 10.1063/1.4940757

Google Scholar

[24] M. Naseer, A. Rehman, M. Yousaf, S. Nadeem, The boundary layer flow of hyperbolic tangent fluid over a vertical exponentially stretching cylinder, Alexandria Eng. J. 53 (2014) 747–750.

DOI: 10.1016/j.aej.2014.05.001

Google Scholar

[25] R.Y. Jumah, A. Fawzi, F. Abu-al-rub, in fluid saturated porous media Darcy- Forchheimer mixed convection heat and mass transfer in fluid saturated porous media, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 11 Iss: 6 (2001).

DOI: 10.1108/09615530110399503

Google Scholar

[26] T. Hayat, M.I. Khan, M. Waqas, A. Alsaedi, Stagnation point flow of hyperbolic tangent fluid with Soret-Dufour effects, Results Phys. (2017).

DOI: 10.1016/j.rinp.2017.07.014

Google Scholar

[27] P. Sibanda, O. D. Makinde, On steady MHD flow and heat transfer due to a rotating disk in a porous medium with Ohmic heating and viscous dissipation, Int. J. Num. Methods for Heat & Fluid Flow, 20(3) (2010)269-285.

DOI: 10.1108/09615531011024039

Google Scholar