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Convective heat and mass transfer in MHD mixed convection flow of Jeffrey nanofluid over a radially stretching surface with thermal radiation

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Abstract

Mixed convection flow of magnetohydrodynamic (MHD) Jeffrey nanofluid over a radially stretching surface with radiative surface is studied. Radial sheet is considered to be convectively heated. Convective boundary conditions through heat and mass are employed. The governing boundary layer equations are transformed into ordinary differential equations. Convergent series solutions of the resulting problems are derived. Emphasis has been focused on studying the effects of mixed convection, thermal radiation, magnetic field and nanoparticles on the velocity, temperature and concentration fields. Numerical values of the physical parameters involved in the problem are computed for the local Nusselt and Sherwood numbers are computed.

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References

  1. CRANE L J. Flow past a stretching plate [J]. Z Angew Math Physk, 1970, 21: 645–647.

    Article  Google Scholar 

  2. HAYAT T, ASHRAF M B, ALSULAMI H H, ALHUTHALI M S. Three dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions [J]. Plos One, 2014, 9: e90038.

    Article  Google Scholar 

  3. MUKHOPADHYAY S. Casson fluid flow and heat transfer over a nonlinearly stretching surface [J]. Chinese Physics B, 2013, 22: 074701.

    Article  Google Scholar 

  4. ABBASBANDY S, GHEHSAREH H R, HASHIM I. An approximate solution of the MHD flow over a non-linearly stretching sheet by Rational Chebyshev Collocation method [M]. UPB Scientific Bulletin Series A, 2012: 74.

    Google Scholar 

  5. HAYAT T, SHEHZAD S A, ALSAADI F E, ALSAEDI A. Three-dimensional radiative flow with variable thermal conductivity and porous medium [J]. European Physical Journal Plus, 2013, 128: 67.

    Article  Google Scholar 

  6. RASHIDI M M, CHAMKA A J, KEIMANESH M. Application of multi-step differential transform method on flow of a second-grade fluid over a stretching or shrinking sheet [J]. American Journal of Computational Mathematics, 2011, 6: 119–128.

    Article  Google Scholar 

  7. ALNIMR M A, KHADRAWI A F, OTHMAN A. Basic viscoelastic fluid flow problems using Jeffreys model [J]. Chemical Engineering Science, 2005, 60: 7131–7136.

    Article  Google Scholar 

  8. KOTHANDAPANI M, SRINIVAS S. Peristaltic transport of a Jeffery fluid under the effect of megnatic field in an asymmetric channel [J]. International Journal of Non-linear Mechanics, 2008, 43: 915–924.

    Article  Google Scholar 

  9. TURKYILMAZOGLU M, POP I. Exact analytical solutions for the flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a Jeffrey fluid [J]. International Journal of Heat and Mass Transfer, 2013, 57: 82–88.

    Article  Google Scholar 

  10. HAYAT T, ASAD S, QASIM M, HENDI A A. Boundary layer flow of a Jeffery fluid with convective boundary conditions [J]. International Journal for Numerical Method in Fluids, 2012, 69: 1352–1362.

    MathSciNet  Google Scholar 

  11. WANG C Y. Natural convection on a vertical radially stretching sheet [J]. Journal of Mathematical Analysis and Applications, 2007, 33: 877–883.

    Article  Google Scholar 

  12. AHMAD I, SAJID M, HAYAT T, MYUB M. Unsteady axisymmetric flow of a second grade fluid over a radially stretching sheet [J]. Computers and Mathematics with Applications, 2008, 56: 1351–1357.

    Article  MATH  MathSciNet  Google Scholar 

  13. KHAN M, SHEHZAD A. On axisymmetric flow of Sisko fluid over a radially stretching sheet [J]. International Journal of Non-linear Mechanics, 2012, 47: 999–1007.

    Article  Google Scholar 

  14. ABBASBANDY S, HAYAT T. Solution of the MHD Falkner-Skan flow by homotopy analysis method [J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14: 3591–3598.

    Article  MATH  MathSciNet  Google Scholar 

  15. TURKYILMAZOGLU M. Analytic heat and mass transfer of the mixed hydrodynamic/thermal slip MHD viscous flow over a stretching sheet [J]. International Journal of Mechanical Sciences, 2011, 53: 886–896.

    Article  Google Scholar 

  16. MUKHOPHADHYAY S, MONDAL I C, GORLA R S R. MHD flow and heat transfer past a porous stretching non-isothermal surface in porous medium with variable free stream temperature [J]. Thermal Energy and Power Engineering, 2013, 2: 29–37.

    Article  Google Scholar 

  17. MOTSA S S, HAYAT T, ALDOSSARY O M. MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method [J]. Applied Mathematics and Mechanics: English Edition, 2012, 33: 975–990.

    Article  MATH  MathSciNet  Google Scholar 

  18. MUKHOPHADHYAY S. Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium [J]. International Journal of Heat and Mass Transfer, 2009, 52: 3261–3265.

    Article  Google Scholar 

  19. CHEN C H. Magnetohydrodynamic mixed convection of a power law fluid past a stretching surface in the presence of thermal radiation and internal heat generation/absorption [J]. International Journal of Non-linear Mechanics, 2009, 44: 596–603.

    Article  MATH  Google Scholar 

  20. HAYAT T, ABBAS Z, POP I, ASGHAR S. Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium [J]. International Journal of Heat and Mass Transfer, 2010, 53: 466–474.

    Article  MATH  Google Scholar 

  21. TURKYILMAZOGLU M, POP I. Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect [J]. International Journal of Heat and Mass Transfer, 2013, 59: 167–171.

    Article  Google Scholar 

  22. CHOI S U S, EASTMAN J A. Enhancing thermal conductivity of fluids with nanoparticles [J]. Materials Science, 1995, 231: 99–105.

    Google Scholar 

  23. RASHIDI M M, BEG O A, MEHR N F, HOSSEINI A, GORLA R S R. Homotopy simulation of axisymmetric laminar mixed convection nanofluid boundary layer over a vertical cylinder [J]. Theoretical and Applied Mechanics, 2012, 39: 365–390.

    Article  MATH  MathSciNet  Google Scholar 

  24. SHEIKHOLESLAMI M, GANJI D D. Heat transfer of Cu-water nanofluid flow between parallel plates [J]. Powder Technology, 2013, 235: 873–879.

    Article  Google Scholar 

  25. TURKYILMAZOGLU M. Unsteady convection flow of some nanofluids past a moving vertical flat plate with heat transfer [J]. Journal of Heat Transfer, 2013, 13: 031704.

    Article  Google Scholar 

  26. MUSTAFA M, HAYAT T, ALSAEDI A. Unsteady boundary layer flow of nanofuid past an impulsively stretching sheet [J]. Journal of Mechanics, 2013, 29: 423–432.

    Article  Google Scholar 

  27. ALSAEDI A, AWAIS M, HAYAT T. Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions [J]. Communications in Nonlinear Science and Numerical Simulation, 2012, 17: 4210–4223.

    Article  MATH  MathSciNet  Google Scholar 

  28. SHATEYI S, MAKINDE O D. Hydromagnetic stagnation point flow towards a radially stretching convectively heated disk [J]. Mathematical Problems in Engineering, 2013: 616947.

    Google Scholar 

  29. LIU Y P, LIAO S J, LI Z B. Symbolic computation of strongly nonlinear periodic oscillations [J]. Journal of Symbolic Computation, 2013, 55: 72–95.

    Article  MATH  MathSciNet  Google Scholar 

  30. ABBASBANDY S, HASHEMI M S, HASHIM I. On convergence of homotopy analysis method and its application to fractional integro-differential equations [J]. Quaestiones Mathematicae, 2013, 36: 93–105.

    Article  MATH  MathSciNet  Google Scholar 

  31. ZHENG L, NIU J, ZHANG X, GAO Y. MHD flow and heat transfer over a porous shrinking surface with velocity slip and temperature jump [J]. Mathematical and Computer Modelling, 2012, 56: 133–144.

    Article  MATH  MathSciNet  Google Scholar 

  32. RASHIDI M M, RAJVANSHI S C, KEIMANESH M. Study of pulsatile flow in a porous annulus with the homotopy analysis method [J]. International Journal of Numerical Method For Heat & Fluid Flow, 2012, 22: 971–989.

    Article  Google Scholar 

  33. GHANBARI M, ABBASBANDY S, ALLAHVIRANLOO T. A new approach to determine the convergence control parameter in the application of the homotopy analysis method to systems of linear equations [J]. Applied Computation Mechanics, 2013, 12: 355–364.

    MATH  MathSciNet  Google Scholar 

  34. TURKYILMAZOGLU M. Solution of Thomas-Fermi equation with a convergent approach [J]. Communications in Nonlinear Science and Numerical Simulation, 2012, 17: 4097–4103.

    Article  MATH  MathSciNet  Google Scholar 

  35. RAMZAN M, FAROOQ M, ALSAEDI A, HAYAT T. MHD three-dimensional flow of couple stress fluid with Newtonian heating [J]. Europeian Physical Journal Plus, 2013, 128: 49.

    Article  Google Scholar 

  36. HAYAT T, SHEHZAD S A, ASHRAF M B, ALSAEDI A. Magnetohydrodynamic mixed convection flow of thixotropic fluid with thermophoresis and Joule heating [J]. Journal of Thermophysics and Heat Transfer, 2013, 27: 733–740.

    Article  Google Scholar 

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Correspondence to M. Bilal Ashraf.

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Bilal Ashraf, M., Hayat, T., Alsaedi, A. et al. Convective heat and mass transfer in MHD mixed convection flow of Jeffrey nanofluid over a radially stretching surface with thermal radiation. J. Cent. South Univ. 22, 1114–1123 (2015). https://doi.org/10.1007/s11771-015-2623-6

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  • DOI: https://doi.org/10.1007/s11771-015-2623-6

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