MHD Flow of Dusty Fluid Past a Stretching Sheet with Slip Effect Using Carreau Model

Article Preview

Abstract:

This examination manages the impact of magnetic field on the flow and heat transport of an incompressible Carreau liquid over an extending sheet with particle fluid suspension. The significant conditions are first improved under regular boundary layer suppositions, and afterward changed into conventional differential conditions by reasonable transformations. The changed conventional nonlinear differential conditions which are explained numerically by Matlab bvp4c package. The impacts of specific parameters on the dimensionless velocity and temperature are exhibited in graphical structures.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

135-144

Citation:

Online since:

September 2018

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2018 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] P.G. Saffman, On the stability of a laminar flow of a dusty gas, J. Fluid Mech. 13(1962)120–128.

DOI: 10.1017/s0022112062000555

Google Scholar

[2] V.M. Agranat, Effect of pressure gradient on friction and heat transfer in a dusty boundary layer, Fluid Dynamics. 23(1988) 729-732.

DOI: 10.1007/bf02614150

Google Scholar

[3] S.U. Mamatha, Mahesha, C.S.K. Raju, O.D. Makinde, Effect of convective boundary conditions on MHD Carreau dusty fluid over a stretching sheet with heat source. Defect and Diffusion Forum, 377 (2017) 233-241.

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

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 (2013).

DOI: 10.1115/1.4023959

Google Scholar

[5] K. Vajravelu, J. Nayfeh, Hydromagnetic flow of a dusty fluid over a stretching sheet, Int. J. Nonlin. Mech. 27(1992) 937–945.

DOI: 10.1016/0020-7462(92)90046-a

Google Scholar

[6] B.J. Gireesha, G.K. Ramesh, M. S. Abel, C.S. Bagewadi, Boundary layer flow and heat transfer of a dusty fluid flow over a stretching sheet with non-uniform heat source/sink,Int. J. Multiphase Flow, 37 (8) (2011) 977-982.

DOI: 10.1016/j.ijmultiphaseflow.2011.03.014

Google Scholar

[7] G.K. Ramesh, B.J. Gireesha, C.S. Bagewadi, MHD flow of a dusty fluid near the stagnation point over a permeable stretching sheet with non-uniform source/sink,Int. J. Heat and Mass Transfer, 55(2012) 4900–4907.

DOI: 10.1016/j.ijheatmasstransfer.2012.05.003

Google Scholar

[8] G.K. Ramesh B.J. Gireesha,Flow over a stretching sheet in a dusty fluid with radiation effect, ASME J. Heat transfer, 135(10) (2013)102702(1-6).

DOI: 10.1115/1.4024587

Google Scholar

[9] G.K. Ramesh, Ali J. Chamkha, B.J. Gireesha, MHD mixed convection viscoelastic fluid over an inclined surface with a non-uniform heat source/sink,Canadian Journal of Physics, 91(12) (2013) 1074-1080.

DOI: 10.1139/cjp-2013-0173

Google Scholar

[10] G.K. Ramesh, B.J. Gireesha, C.S. Bagewadi, Stagnation point flow of a MHD dusty fluid towards a stretching sheet with radiation, AfrikaMatematika, 25(1) (2014) 237-249.

DOI: 10.1007/s13370-012-0114-6

Google Scholar

[11] G. K. Ramesh, B. J. Gireesha, R. S. R.Gorla, Boundary layer flow past a stretching sheet with fluid-particle suspension and convective boundary condition, Heat and Mass Transfer. 51(8) (2015) 1061-1066.

DOI: 10.1007/s00231-014-1477-z

Google Scholar

[12] Sunil, .A. Sharma, P. Kumar, U. Gupta,The effect of magnetic-field dependent viscosity and rotation on ferrothermohaline convection saturating a porous medium, J. Geophysics and Eng., 2(2005) 238-251.

DOI: 10.1088/1742-2132/2/3/008

Google Scholar

[13] M.A.A. Mahmoud,Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity, Physica. A., 375(2007) 401–410.

DOI: 10.1016/j.physa.2006.09.010

Google Scholar

[14] G.C. Hazarika,Variable viscosity and thermal conductivity on convective heat transfer in a dusty fluid over a vertical permeable surface with radiation and viscous dissipation, Int. J. Comp. Appli., 103(11) (2014) 39-54.

DOI: 10.5120/18121-9439

Google Scholar

[15] M.A. Seddeek, A. M. A.Meguid, Effects of radiation and thermal diffusivity on heat transfer over a stretching surface with variable heat flux, Phys. Lett. A., 348(2006)172–179.

DOI: 10.1016/j.physleta.2005.01.101

Google Scholar

[16] S. M. Isa, A. Ali,Thermal radiation effect on hydromagnetic flow of dusty fluid over a stretching vertical surface, J. Teknologi (Sciences & Engineering), 71(5) (2014) 17–20.

DOI: 10.11113/jt.v71.3846

Google Scholar

[17] S. Nadeem, R.U. Haq N.S. Akbar, Z.H. Khan,MHD three dimensional Casson fluid flow past a porous linearly stretching sheet, Alexandria Eng J., 52(4) (2013)577–82.

DOI: 10.1016/j.aej.2013.08.005

Google Scholar

[18] M. G. Reddy, M.V.V.N.L. Sudha Rani, O.D. Makinde, Effects of nonlinear thermal radiation and thermo-diffusion on MHD Carreau fluid flow past a stretching surface with slip. Diffusion Foundation, 11(2017) 57-71.

DOI: 10.4028/www.scientific.net/df.11.57

Google Scholar

[19] S.A. Shehzad, A. Alsaedi, T. Hayat,Three-dimensional flow of Jeffery fluid with convective surface boundary conditions, Int. J. Heat Mass Transfer55(2012)3971–3976.

DOI: 10.1016/j.ijheatmasstransfer.2012.03.027

Google Scholar

[20] M. Khan, Hashima, Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet, AIP Advances, 5(2015) 1-14.

DOI: 10.1063/1.4932627

Google Scholar

[21] N.S. Akbar, S. Nadeem, R. U. Haq, S. Ye,MHD stagnation point flow of Carreau fluid toward a permeable shrinking sheet:Dual solutions, Ain Shams Engineering Journal, 5(4)(2014) 1233-1239.

DOI: 10.1016/j.asej.2014.05.006

Google Scholar

[22] 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

[23] S. Suneetha, K. Gangadhar, N. B. Reddy,Thermal radiation effect on MHD stagnation point flow of a Carreau fluid with convective boundary condition, International Conference on Frontiers in Mathematics, (2015) 211-216.

Google Scholar

[24] I. Ullah, S. Shafie, O. D. Makinde, I. Khan,Unsteady MHD Falkner-Skan flow of Cassonnanofluid with generative/destructive chemical reaction,Chemical Engineering Science, 172 (2017) 694–706.

DOI: 10.1016/j.ces.2017.07.011

Google Scholar

[25] W. Ibrahim, O. D. Makinde, Magnetohydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition, Journal of Aerospace Engineering, 29(2) (2016) Article# 04015037.

DOI: 10.1061/(asce)as.1943-5525.0000529

Google Scholar