THERMAL SCIENCE

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MHD flow of Powell-Eyring fluid by a stretching cylinder with newtonian heating

ABSTRACT
This paper examines magnetohydrodynamic (MHD) flow of Powell-Eyring fluid by a stretching cylinder with thermal radiation. Analysis has been presented through inclined magnetic field. Characteristics of heat transfer are analyzed with advanced boundary condition (i.e., Newtonian heating). Suitable transformations convert the nonlinear partial differential equations to the nonlinear ordinary differential equations. Convergent series solutions of momentum and energy equations are developed. Effects of different pertinent parameters on the velocity and temperature distributions are shown graphically. Numerical values of the skin friction coefficient and Nusselt number are also computed and analyzed. Comparison of the present study with the previous published work is also examined. Higher values of fluid M and curvature parameters show enhancement in the fluid velocity while opposite behavior is observed for Hartman number and Suction parameter. Conjugate and radiation parameters lead to an increase in temperature.
KEYWORDS
PAPER SUBMITTED: 2015-07-17
PAPER REVISED: 2016-06-27
PAPER ACCEPTED: 2016-06-30
PUBLISHED ONLINE: 2016-08-07
DOI REFERENCE: https://doi.org/10.2298/TSCI150717162H
REFERENCES
  1. Powell, R.E, Eyring, H., Nature, London p. 427 (1944)
  2. Patel, M., Timol, M. G., Numerical Treatment of MHD Powell-Eyring Fluid Flow Using the Method of Satisfaction of Asymptotic Boundary Conditions, International Journal of Mathematics and computation,2(2011), pp. 71-78
  3. Hayat,T.,Awais,M.,Asghar,S., Radiative Effects in a Three-dimensional Flow of MHD Eyring-Powell Fluid, Journal of the Egyptian Mathematical Society, 21 (2013), 3, pp. 379-384
  4. Ara,A.,Khan,N.A.,Khan,H.,Sultan,F., Radiation Effect on Boundary Layer Flow of an Eyring Powell Fluid over an Exponentially Shrinking Sheet, Ain Shams Engineering Journal,5(2014), 4, pp. 1337-1342
  5. Hayat,T.,Farooq,M., Alsaedi,A.,Iqbal,Z.,Melting Heat Transfer in the Stagnation Point Flow of Powell Eyring fluid, Journal of Thermophysics and Heat Transfer, 27 (2013), 4, pp. 761-766
  6. Ishak, A., MHD Boundary Layer Flow due to an Exponentially Stretching Sheet with Radiation Effect, Sains Malaysiana, 40 (2011), 4, pp. 391-395
  7. Noor,N.F.M., Hashim,I.,MHD Flow and Heat Transfer Adjacent to a Permeable Shrinking Sheet Embedded in a Porous Medium, Sains Malaysiana, 38 (2009), 4, pp. 559-565
  8. Turkyilmazoglu, M., MHD Fluid Flow and Heat Transfer due to a Shrinking Rotating Disk, Computers and Fluids, 90 (2014) pp. 51-56
  9. Hayat,T., Anwar, M. S., Farooq, M., Alsaedi, A., MHD Stagnation Point Flow of Second Grade Fluid over a Stretching Cylinder with Heat and Mass Transfer, International Journal of Nonlinear Sciences and Numerical Simulation, 15 (2014), 6, pp. 365-376
  10. Sheikholeslami, M., Ganji, D. D., Gorji-Bandpy, M., Soleimani, S., Magnetic Field Effect on Nanofluid Flow and Heat Transfer using KKL Model, Journal of the Taiwan Institute of Chemical Engineers, 45 (2014), 3, pp. 795-807
  11. Rashidi, M. M., Ferdows, M., Parsa, A. B., Abelman, S., MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate, In Abstract and Applied Analysis Hindawi Publishing Corporation, (2014) 923487
  12. Merkin,J.H., Natural-Convection Boundary-Layer Flow on a Vertical Surface with Newtonian Heating, International Journal of Heat and Fluid Flow, 15 (1994), 5, pp. 392-398
  13. Ramzan,M.,Farooq,M., Alsaedi,A.,Hayat,T.,MHD Three-dimensional Flow of Couple Stress Fluid with Newtonian Heating, The European Physical Journal Plus, 128 (2013), 5, pp. 1-15
  14. Salleh,M.Z.,Nazar,R.,Free Convection Boundary Layer Flow over a Horizontal Circular Cylinder with Newtonian Heating, Sains Malaysiana, 39 (2010), 4, pp. 671-676
  15. Salleh, M. Z., Nazar, R., Pop, I., Numerical Solutions of Free Convection Boundary Layer Flow on a Solid Sphere with Newtonian Heating in a Micropolar Fluid, Meccanica, 47 (2012), 5, pp. 1261-1269
  16. Narahari, M., Dutta, B. K., Effects of Thermal Radiation and Mass Diffusion on Free Convection Flow near a Vertical Plate with Newtonian Heating, Chemical Engineering Communications, 199 (2012), 5, pp. 628-643
  17. Javed,T.,Ali,N.,Abbas,Z.,Sajid,M.,Flowofan Eyring-Powell Non-Newtonian fluid over a Stretching Sheet, Chemical Engineering Communications, 200 (2013), 3, pp. 327-336
  18. Liao, S., Homotopy Analysis Method in Nonlinear Differential Equations, Higher Education Press (2012), pp. 153-165
  19. Sajid,M.,Hayat,T.,The Application of Homotopy Analysis Method for MHD Viscous Flow due to a Shrinking Sheet, Chaos, Solitons and Fractals, 39 (2009), 3, pp. 1317-1323
  20. Abbasbandy, S., Shirzadi, A., Homotopy Analysis Method for Multiple Solutions of the Fractional Sturm-Liouville Problems, Numerical Algorithms, 54 (2010), 4, pp. 521-532
  21. Liao, S. J., On the Homotopy Multiple-Variable Method and its Applications in the Interactions of Nonlinear Gravity Waves, Communications in Nonlinear Science and Numerical Simulation, 16 (2011), 3, pp. 1274-1303
  22. Abbasbandy, S., Lpez, J. L., Lpez-Ruiz, R., The Homotopy Analysis Method and the Linard Equation, International Journal of Computer Mathematics, 88 (2011), 1, pp. 121-134
  23. Rashidi,M.M., Rastegari,M.T., Asadi,M.,Bg,O.A.,A Study of Non-Newtonian Flow and Heat Transfer over a Non-Isothermal Wedge Using the Homotopy Analysis Method, Chemical Engineering Communications, 199 (2012), 2, pp. 231-256
  24. Shahzad, A., Ali, R., Approximate Analytic Solution for Magneto-Hydrodynamic Flow of a Non-Newtonian Fluid over a Vertical Stretching Sheet, Can J Appl Sci,2(2012), pp. 202-215
  25. Sheikholeslami, M., Ashorynejad, H. R., Domairry, D., Hashim, I., Investigation of the Laminar Viscous Flow in a Semi-Porous Channel in the Presence of Uniform Magnetic Field Using Optimal Homotopy Asymptotic Method, Sains Malaysiana, 41 (2012), 10, pp. 1177-1229
  26. Masood, K., Ramzan, A., Shahzad, A., MHD Falkner-Skan Flow with Mixed Convection and Convective Boundary Conditions, Walailak Journal of Science and Technology (WJST), 10 (2013), 5, pp. 517-529
  27. Khan, J. A., Mustafa, M., Hayat,T., Farooq, M. A., Alsaedi, A., Liao, S. J., On Model for Three-dimensional Flow of Nanofluid: An Application to Solar Energy, Journal of Molecular Liquids, 194 (2014) pp.41-47
  28. Aziz,T., Mahomed,F.M., Shahzad,A.,Ali,R.,Travelling Wave Solutions for the Unsteady Flow of a Third Grade Fluid Induced due to Impulsive Motion of Flat Porous Plate Embedded in a Porous Medium, Journal of Mechanics, 30 (2014), 5, pp. 527-535
  29. Hayat,T., Hussain, Z., Farooq, M., Alsaedi, A., Obaid, M., Thermally Stratified Stagnation Point Flow of an Oldroyd-B Fluid, International Journal of Nonlinear Sciences and Numerical Simulation, 15 (2014), 1, pp. 77-86
  30. Ali, R., Shahzad, A., Khan, M.,Ayub, M., Analytic and Numerical Solutions for Axisymmetric Flow with Partial Slip, Engineering with Computers, 32 (2016), 1, pp. 149-154
  31. Hayat, T., Hussain, Z., Alsaedi, A., Farooq, M., Magnetohydrodynamic Flow by a Stretching Cylinder with Newtonian Heating and Homogeneous-Heterogeneous Reactions PloS one, 11 (2016), 6, p.e0156955
  32. Hayat, T., Hussain, Z., Alsaedi, A., Ahmad, B., Heterogeneous-Homogeneous Reactions and Melting Heat Transfer Effects in Flow with Carbon Nanotubes, Journal of Molecular Liquids, 220 (2016), pp. 200-207
  33. Hayat, T., Khan, M. I., Farooq, M., Yasmeen, T., Alsaedi, A., Stagnation Point Flow with Cattaneo-Christov Heat Flux and Homogeneous-Heterogeneous Reactions L, Journal of Molecular Liquids, 220 (2016), pp. 49-55
  34. Hayat,T.,Khan,M.I.,Farooq,M., Alsaedi,A.,Waqas,M.,Yasmeen,T.,Impactof Cattaneo Christov Heat Flux Model in Flow of Variable Thermal Conductivity Fluid over a Variable Thicked Surface, International Journalof Heat and MassTransfer, 99 (2016), pp. 702-710
  35. Hayat,T., Hussain,Z., Alsaedi,A.,Asghar,S., Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness, Advanced Powder Technology, (2016)
  36. Khan, M. I., Kiyani, M. Z., Malik, M.Y.,Yasmeen,T., Khan,M.W .A., Abbas,T., Numerical Investigation of Magnetohydrodynamic Stagnation Point Flow with Variable Properties, Alexandria Engineering Journal, (2016)