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MHD Flow of a Jeffrey Fluid with Newtonian Heating

Published online by Cambridge University Press:  23 January 2015

M. Farooq ,
N. Gull ,
A. Alsaedi  and
T. Hayat
M. Farooq*
Affiliation:
Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
N. Gull
Affiliation:
Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
A. Alsaedi
Affiliation:
Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, King Abdulaziz University, Saudi Arabia
T. Hayat
Affiliation:
Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, King Abdulaziz University, Saudi Arabia
*
*Corresponding author (hfarooq99@yahoo.com)
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Abstract

The combined effects of Joule and Newtonian heating in magnetohydrodynamic (MHD) flow of Jeffrey fluid over a stretching cylinder with heat source/sink are addressed. Suitable transformations are considered to reduce the non-linear boundary layer partial differential equations into the ordinary differential equations. Convergent series solutions of the resulting dimensionless problems are obtained. Effects of emerging physical parameters on the velocity and temperature profiles are examined. Comparison between viscous and Jeffrey fluids for different cases of flat plate and cylinder is made. Numerical values of skin friction coefficient and local Nusselt number are tabulated and analyzed for different values of emerging parameters.

Keywords

Stretching cylinderJoule heatingNewtonian heatingJeffrey fluid
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 3 , June 2015 , pp. 319 - 329
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

REFERENCES

1.Mukhopadhyay, S., “MHD Boundary Layer Slip Flow Along a Stretching Cylinder,” Ain Shams Engineering Journal, 4, pp. 317–324 (2013).Google Scholar
2.Turkyilmazoglu, M., “Three Dimensional MHD Stagnation Flow Due to a Stretchable Rotating Disk,” International Journal of Heat and Mass Transfer, 55, pp. 6959–6965 (2012).Google Scholar
3.Bhattacharyya, K., “Heat Transfer Analysis in Unsteady Boundary Layer Stagnation Point Flow Towards a Shrinking/Stretching Sheet,” Ain Shams Engineering Journal, 4, pp. 259–264 (2013).CrossRefGoogle Scholar
4.Makinde, O.D., Khan, W.A., and Khan, Z.H., “Buoyancy Effects on MHD Stagnation Point Flow and Heat Transfer of a Nanofluid Past a Convec-tively Heated Stretching/Shrinking Sheet,” International Journal of Heat and Mass Transfer, 62, pp.526–533 (2013).Google Scholar
5.Hayat, T., Shafiq, A., Alsaedi, A., and Awais, M., “MHD Axisymmetric Flow of Third Grade Fluid Between Stretching Sheets with Heat Transfer,” Computers & Fluids, 86, pp. 103–108 (2013).Google Scholar
6.Sheikholeslami, M., Ashorynejad, H.R., Domairry, G., and Hashim, I., “Flow and Heat Transfer of Cu-Water Nanofluid Between a Stretching Sheet and a Porous Surface in a Rotating System,” Journal of Applied Mathematics, 2012, p. 421320 (2012).Google Scholar
7.Rashidi, M.M., Ali, M., Freidoonimehr, N., and Nazari, F., “Parametric Analysis and Optimization of Entropy Generation in Unsteady MHD Flow Over a Stretching Rotating Disk Using Artificial Neutral Network and Particle Swarm Optimization Algorithm,” Energy, 55, pp. 497–510 (2013).Google Scholar
8.Hayat, T., Waqas, M., Shehzad, S.A., and Alsaedi, A., “Mixed Convection Radiative Flow of Maxwell Fluid Near a Stagnation Point with Convective Condition,” Journal of Mechanics, 29, pp. 403–409(2013).Google Scholar
9.Mukhopadhyay, S., “Slip Effects on MHD Boundary Layer Flow Over an Exponentially Stretching Sheet with Suction/Blowing and Thermal Radiation,” Ain Shams Engineering Journal, 4, pp. 485–491 (2013).CrossRefGoogle Scholar
10.Elbashbeshy, E.M.A., Emam, T.G., and Abdelgaber, K.M., “Effects of Thermal Radiation and Magnetic Field on Unsteady Mixed Convection Flow and Heat Transfer Over an Exponentially Stretching Surface with Suction in the Presence of Internal Heat Gener-ation/Absorption,” Journal of the Egyptian Mathematical Society, 20, pp. 215–222 (2012).Google Scholar
11.Rashidi, M.M., Kaviani, N., and Abelman, S., “Investigation of Entropy Generation in MHD and Slip Flow Over a Rotating Porous Disk with Variable Properties,” International Journal of Heat and Mass Transfer, 70, pp. 892–917 (2014).Google Scholar
12.Shehzad, S.A., Hayat, T., Qasim, M. and Asghar, S., “Effects of Mass Transfer on MHD Flow of Casson Fluid with Chemical Reaction and Suction,” Brazilian Journal of Chemical Engineering, 30, pp.187–195.CrossRefGoogle Scholar
13.Sheikholeslami, M., Bandpy, M.G., Ganji, D.D., Rana, P. and Soleimani, S., “Magnetohydrodynamic Free Convection of Al2O3-Water Nanofluid Considering Thermophoresis and Brownian Motion Effects,” Computers & Fluids, 94, pp. 147–160(2014).Google Scholar
14.Alsaedi, A., Alsaedi, F.E., Ali, S., and Hayat, T.,“Stagnation Point Flow of Burger’s Fluid and Mass Transfer with Chemical Reaction and Porosity,” Journal of Mechanics, 29, pp. 453–460 (2013).CrossRefGoogle Scholar
15.Merkin, J.H., “Natural Convection Boundary Layer Flow on a Vertical Surface with Newtonian Heating,” International Journal of Heat and Fluid flow,15, pp. 392–398 (1994).CrossRefGoogle Scholar
16.Hayat, T., Iqbal, Z. and Mustafa, M., “Flow of Second Grade Fluid Over a Stretching Surface with Newtonian Heating,” Journal of Mechanics, 28, pp. 209–216 (2012).Google Scholar
17.Ramzan, M., Farooq, M., Alsaedi, A., and Hayat, T., “MHD Three Dimensional Flow of Couple Stress Fluid with Newtonian Heating,” The European Physical Journal Plus, 128, p. 49 (2013).Google Scholar
18.Makinde, O.D., “Effects of Viscous Dissipation and Newtonian Heating on Boundary Layer Flow of Nanofluids Over a Flat Plate,” International Journal of Numerical Methods for Heat & Fluids Flow, 23, pp. 1291–1303 (2013).Google Scholar
19.Sarif, N.M., Salleh, M.Z., and Nazar, R., “Numerical Solution of Flow and Heat Transfer over a Stretching Sheet with Newtonian Heating using the Keller Box Method,” Procedia Engineering, 53, pp.542–554 (2013).Google Scholar
20.Makinde, O.D., “Computational Modelling of MHD Unsteady Flow and Heat Transfer Towards a Flat Plate with Navier Slip and Newtonian Heating,” Brazilian Journal of Chemical Engineering, 29, pp. 159–166 (2012).Google Scholar
21.Shehzad, S.A., Alsaedi, A., and Hayat, T., “Influence of Thermophoresis and Joule Heating on the Radiative Flow of Jeffrey Fluid with Mixed Convection,” Brazilian Journal of Chemical Engineering, 30, pp.897–908 (2013).Google Scholar
22.Mahapatra, T.R., Pal, D., and Mondal, S., “Mixed Convection Flow in an Inclined Enclosure Under Magnetic Field with Thermal Radiation and Heat Generation,” International Communications in Heat and Mass Transfer, 41, pp. 47–56 (2013).Google Scholar
23.Hayat, T., Shafiq, A., and Alsaedi, A., “Effect of Joule Heating and Thermal Radiation in Flow of Third Grade Fluid Over Radiative Surfaces,” Plos One, 9, p. e83153 (2014).Google Scholar
24.Ganapathirao, M., Ravindran, R., and Pop, I., “Non Uniform Slot Suction (Injection) on an Unsteady Mixed Convection Flow Over a Wedge with Chemical Reaction and Heat Generation or Absorption,” International Journal of Heat and Mass Transfer, 67,pp. 1054–1061 (2013).Google Scholar
25.Mukhopadhyay, S., “Heat Transfer Analysis of the Unsteady Flow of a Maxwell Fluid Over a Stretching Surface in the Presence of a Heat Source/Sink,” Chinese Physics Letters, 29, p. 054703 (2012).Google Scholar
26.Liao, S.J., Homotopy Analysis Method in NonLinear Differential Equations, Springer and Higher Education Press, Heidelberg (2012).Google Scholar
27.Abbasbandy, S., Hashemi, M.S., and Hashim, I., “On Convergence of Homotopy Analysis Method and its Application to Fractional Integro-Differential Equations,” Quaestiones Mathematicae, 36, pp. 93–105 (2013).Google Scholar
28.Hayat, T., Farooq, M., Alsaedi, A., and Iqbal, Z., “Melting Heat Transfer in the Stagnation Point Flow of Powell Eyring Fluid,” Journal of Thermophysics and Heat Transfer, 27, pp. 761–766 (2013).Google Scholar
29.Hayat, T., Qayyum, A., Alsaedi, F., Awais, M., and Dobaie, A.M., “Thermal Radiation Effects in Squeezing Flow of a Jeffrey Fluid,” The European Physical Journal Plus, 128, p. 85 (2013).Google Scholar
30.Rashidi, M.M., Momoniat, E., and Rostami, B., “Analytic Approximate Solutions for MHD Boundary Layer Viscoelastic Fluid Flow Over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters,” Journal of Applied Mathematics, 2012, p. 780415 (2012).Google Scholar