International Scientific Journal


Present study addresses Soret and Dufour effects in mixed convection MHD flow of viscoelastic liquid with chemical reaction. Flow induced by an exponential stretching sheet is addressed in the presence of magnetic field. Energy expression is modelled by exponential space dependent internal heat source, thermal radiation and convective condition. Relevant problems are modelled by employing boundary layer concept. The partial differential systems are reduced to ordinary differential systems. Resultant problem is solved by homotopic technique. Physical insight of results is arranged by graphs and tables.
PAPER REVISED: 2018-09-16
PAPER ACCEPTED: 2018-09-26
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THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 6, PAGES [3843 - 3853]
  1. L.J. Crane, Flow past a stretching plate, Z. Angew Math. Phys., 21 (1970) 645.
  2. P.S. Gupta and A.S. Gupta, Heat and mass transfer on a stretching sheet with suction and blowing, Can. J. Chem. Eng., 55 (1977) 744.
  3. C.K. Chen and M.I Char, Heat transfer of a continuous stretching surface with suction or blowing, J. Math. Anal. Appl., 135 (1988) 568.
  4. I. Pop and T.Y. Na, Unsteady flow past a stretching sheet, Mech. Res. Commun., 23 (1996) 413.
  5. S. Kazem, M. Shaban and S. Abbasbandy, Improved an alytical solutions to a stagnation-point flow past a porous stretching sheet with heat generation, J. Frankl Inst., 348 (2011) 2044.
  6. T. Hayat, I. Ullah, A. Alsaedi and M. Farooq, MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness, Results in Phys., 7 (2017) 189-196.
  7. M. Hussain, M. Ashraf, S. Nadeem and M. Khan, Radiation effects on the thermal boundary layer flow of a micropolar fluid towards a permeable stretching sheet, J. Frankl Inst., 350 (2013) 194.
  8. T. Hayat, I. Ullah, A. Alsaedi and S. Asghar, Flow of magneto Williamson nanoliquid towards stretching sheet with variable thickness and double stratification, Radiat. Phys. Chem., (2018), Radiat. Phys. Chem., 152 (2018) 151--157.
  9. D. Pal, Mixed convection heat transfer in the boundary layers on an exponentially stretching surface with magnetic field, Appl. Math. Comput., 217 (2010) 2356.
  10. E. Magyari and B. Keller, Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface, J. Phys. Appl. Phys., 32 (1999) 577.
  11. M. K. Partha, P.V.S.N. Murthy and G.P. Rajasekhar, Effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface, Heat Mass Transf., 41 (2005) 306.
  12. M. Sajid and T. Hayat, Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet, Int .Commun. Heat Mass Transf., 35 (2008) 347.
  13. T. Hayat, I. Ullah, T. Muhammad and A. Alsaedi, Magnetohydrodynamic (MHD) three-dimensional flow of second grade nanofluid by a convectively heated exponentially stretching surface, J. Mol. Liq., 220 (2016) 1004-1012.
  14. M. M. Rashidi, T. Hayat, E. Erfani, S.A.M. Pour and A. A. Hendi, Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk, Comm. Nonl. Sci. Numer. Simulation, 16 (2011) 4303-4317.
  15. C. Y. Cheng, Soret and Dufour effects on mixed convection heat and mass transfer from a vertical wedge in a porous medium with constant wall temperature and concentration, Trnsp. Porous Med., 94 (2012) 123--132
  16. M. Turkyilmazoglu and I. Pop, Soret and heat source effects on the unsteady radiative MHD free convection flow from an impulsively started infinite vertical plate, Int. J. Heat Mass Transfer, 55 (2012) 7635-7644.
  17. T. Hayat, M.I. Khan, M. Waqas and A. Alsaedi, Stagnation point flow of hyperbolic tangent fluid with Soret-Dufour effects, Results Phys., 7 (2017) 2711-2717.
  18. T. Hayat, I. Ullah, T. Muhammad and A. Alsaedi, Radiative three-dimensional flow with Soret and Dufour effects, Int. J. Mech. Sci., 133 (2017) 829-837.
  19. M. Turkyilmazoglu, The analytical solution of mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface, Int. J. Mech. Sci., 77 (2013) 263-268.
  20. T. Grosan, J. H. Merkin and I. Pop, Mixed convection boundary-layer flow on a horizontal flat surface with a convective boundary condition, Meccanica, 48 (2013) 2149-2158.
  21. S. Das, R.N. Jana and O.D Makinde, Magnetohydrodynamic mixed convective slip flow over an inclined porous plate with viscous dissipation and Joule heating, Alex. Eng. J., 54 (2015) 251--61.
  22. M. Imtaiz, T. Hayat, M. Hussain, S.A. Shehzad G.Q. Chen and B. Ahmad, Mixed convection flow of nanofluid with Newtonian heating, Eur. Phys. J. Plus, 129 (2014) 97.
  23. T. Hayat, I. Ullah, A. Alsaedi, M. Waqas and B. Ahmad, Three-dimensional mixed convection flow of Sisko nanoliquid, Int. J. Mech. Sci., 133 (2017) 273-282.
  24. L. Zheng, C. Zhang, X. Zhang and J. Zhang, Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium, J. Franklin. Inst., 350 (2013) 990--1007.
  25. M. Sheikholeslami, D.D. Ganji, M.Y. Javed and R. Ellahi, Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model, J. Magn. Magn. Mater., 374 (2015) 36--43.
  26. F.M. Abbasi, S.A. Shehzad, T. Hayat and M.S. Alhuthali, Mixed convection flow of jeffrey nanofluid with thermal radiation and double stratification, J. Hydrodynamics Ser. B, 28 (2016) 840-849.
  27. T. Hayat, I. Ullah, B. Ahmed and A. Alsaedi, MHD mixed convection flow of third grade liquid subject to non-linear thermal radiation and convective condition, Results Phys., 7 (2017) 2804--2811.
  28. T. Hayat, I. Ullah, A. Alsaedi and B. Ahmad, Simultaneous effects of non-linear mixed convection and radiative flow due to Riga-plate with double stratification, J. Heat Transfer, 140 (2018) 102008.
  29. A.M. Salem and M.A. El-Aziz, MHD mixed convection and mass transfer from a vertical stretching sheet with diffusion of chemically reactive species and space or temperature-dependent heat source, Can. J. Phys., 85 (2007) 359-73.
  30. B. Mahanthesh, B.J. Gireesha and C.S.K. Raju, Cattaneo-Christov heat flux on UCM nanofluid flow across a melting surface with double stratification and exponential space dependent internal heat source, Informatics in Medicine Unlocked, 9 (2017) 26-34.
  31. Q.M. Zaigham Zia, I. Ullah, M. Waqas, A. Alsaedi and T. Hayat, Cross diffusion and exponential space dependent heat source impacts in radiated three-dimensional (3D) flow of Casson fluid by heated surface, Results Phys., 8 (2018) 1275-1282.
  32. S.J. Liao, On the homotopy analysis method for nonlinear problems, Appl. Math. Comput., 147 (2004) 499-513.
  33. M. Dehghan, J. Manafian and A. Saadatmandi, Solving nonlinear fractional partial differential equations using the homotopy analysis method, Numer. Meth. Partial Diff. Eq., 26 (2010) 448-479.
  34. V. Bansod and R. Jadhav, Effect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid-saturated porous medium, Heat Transfer Asian Res., 39 (2010) 378-395.
  35. T. Hayat , I. Ullah, M. Waqas and A. Alsaedi, MHD stratified nanofluid flow by slandering surface, Phys. Scr., (2018),
  36. S. Abbasbandy, T. Hayat, A. Alsaedi and M. M. Rashidi, Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid, Int. J. Numer. Methods Heat Fluid Flow, 24 (2014) 390-401.
  37. T. Hayat, I. Ullah, A. Alsaedi and Bashir Ahmad, Impact of temperature dependent heat source and nonlinear radiative flow of third grade fluid with chemical aspects, Therm. sci, (2018), DOI: 10.2298/TSCI180409245H.
  38. R. Ellahi, M. Hassan and A. Zeeshan, Shape effects of nanosize particles in 2 Cu H O nanofluid on entropy generation, Int. J. Heat Mass Transfer, 81 (2015) 449-456.
  39. T. Hayat, I. Ullah, A. Alsaedi and M. Waqas, Double stratified flow of nanofluid subject to temperature based thermal conductivity and heat source, Therm. sci., (2018) DOI: 10.2298/TSCI180121242H.
  40. M. Turkyilmazoglu, An effective approach for evaluation of the optimal convergence control parameter in the homotopy analysis method, Filomat, 30 (2016) 1633-1650.
  41. T. Hayat, I. Ullah, T. Muhammad and A. Alsaedi, A revised model for stretched flow of third grade fluid subject to magneto nanoparticles and convective condition, J. Mol. Liq., 230 (2017) 608-615.
  42. I. Ahmad, T. Javed, T. Hayat and M. Sajid, Series solutions for the radiation-conduction interaction on unsteady MHD flow, J. Porous Media, 14 (2011) 927-941.
  43. I. Ullah, M. Waqas, T. Hayat, A. Alsaedi and M. I. Khan, Thermally radiated squeezed flow of magneto-nanofluid between two parallel disks with chemical reaction, J. Therm. Anal. Calorim., (2018)

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