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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• 作者：M. Bilal Ashraf (1)
  T. Hayat (2) (3)
  A. Alsaedi (3)
  S. A. Shehzad (4)
  
  1. Department of Mathematics ; Comsats Institute of Information Technology ; Wancantt ; 47040 ; Pakistan
  2. Department of Mathematics ; Quaid-i-Azam University ; Islamabad ; 44000 ; Pakistan
  3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group ; Department of Mathematics ; Faculty of Science ; King Abdulaziz University ; P. O. Box 80207 ; Jeddah ; 21589 ; Saudi Arabia
  4. Department of Mathematics ; Comsats Institute of Information Technology ; Sahiwal ; Pakistan
  
• 关键词：Jeffrey nanofluid ; mixed convection flow ; radially stretching surface ; convective boundary conditions ; magnetic field
• 刊名：Journal of Central South University of Technology
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：22
• 期：3
• 页码：1114-1123
• 全文大小：1,706 KB
• 参考文献：1. Crane, L J (1970) Flow past a stretching plate [J]. Z Angew Math Physk 21: pp. 645-647 p://dx.doi.org/10.1007/BF01587695" target="_blank" title="It opens in new window">CrossRef
  2. Hayat, T, Ashraf, M B, Alsulami, H H, Alhuthali, M S (2014) Three dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions [J]. Plos One 9: pp. e90038 p://dx.doi.org/10.1371/journal.pone.0090038" target="_blank" title="It opens in new window">CrossRef
  3. Mukhopadhyay, S (2013) Casson fluid flow and heat transfer over a nonlinearly stretching surface [J]. Chinese Physics B 22: pp. 074701 p://dx.doi.org/10.1088/1674-1056/22/7/074701" target="_blank" title="It opens in new window">CrossRef
  4. Abbasbandy, S, Ghehsareh, H R, Hashim, I (2012) An approximate solution of the MHD flow over a non-linearly stretching sheet by Rational Chebyshev Collocation method [M]. UPB Scientific Bulletin Series A. pp. 74
  5. Hayat, T, Shehzad, S A, Alsaadi, F E, Alsaedi, A (2013) Three-dimensional radiative flow with variable thermal conductivity and porous medium [J]. European Physical Journal Plus 128: pp. 67 p://dx.doi.org/10.1140/epjp/i2013-13067-3" target="_blank" title="It opens in new window">CrossRef
  6. Rashidi, M M, Chamka, A J, Keimanesh, M (2011) 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 6: pp. 119-128 p://dx.doi.org/10.4236/ajcm.2011.12012" target="_blank" title="It opens in new window">CrossRef
  7. Alnimr, M A, Khadrawi, A F, Othman, A (2005) Basic viscoelastic fluid flow problems using Jeffreys model [J]. Chemical Engineering Science 60: pp. 7131-7136 p://dx.doi.org/10.1016/j.ces.2005.07.006" target="_blank" title="It opens in new window">CrossRef
  8. Kothandapani, M, Srinivas, S (2008) Peristaltic transport of a Jeffery fluid under the effect of megnatic field in an asymmetric channel [J]. International Journal of Non-linear Mechanics 43: pp. 915-924 p://dx.doi.org/10.1016/j.ijnonlinmec.2008.06.009" target="_blank" title="It opens in new window">CrossRef
  9. Turkyilmazoglu, M, Pop, I (2013) 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 57: pp. 82-88 p://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.10.006" target="_blank" title="It opens in new window">CrossRef
  10. Hayat, T, Asad, S, Qasim, M, Hendi, A A (2012) Boundary layer flow of a Jeffery fluid with convective boundary conditions [J]. International Journal for Numerical Method in Fluids 69: pp. 1352-1362
  11. Wang, C Y (2007) Natural convection on a vertical radially stretching sheet [J]. Journal of Mathematical Analysis and Applications 33: pp. 877-883 p://dx.doi.org/10.1016/j.jmaa.2006.11.006" target="_blank" title="It opens in new window">CrossRef
  12. Ahmad, I, Sajid, M, Hayat, T, Myub, M (2008) Unsteady axisymmetric flow of a second grade fluid over a radially stretching sheet [J]. Computers and Mathematics with Applications 56: pp. 1351-1357 p://dx.doi.org/10.1016/j.camwa.2008.03.002" target="_blank" title="It opens in new window">CrossRef
  13. Khan, M, Shehzad, A (2012) On axisymmetric flow of Sisko fluid over a radially stretching sheet [J]. International Journal of Non-linear Mechanics 47: pp. 999-1007 p://dx.doi.org/10.1016/j.ijnonlinmec.2012.06.003" target="_blank" title="It opens in new window">CrossRef
  14. Abbasbandy, S, Hayat, T (2009) Solution of the MHD Falkner-Skan flow by homotopy analysis method [J]. Communications in Nonlinear Science and Numerical Simulation 14: pp. 3591-3598 p://dx.doi.org/10.1016/j.cnsns.2009.01.030" target="_blank" title="It opens in new window">CrossRef
  15. Turkyilmazoglu, M (2011) Analytic heat and mass transfer of the mixed hydrodynamic/thermal slip MHD viscous flow over a stretching sheet [J]. International Journal of Mechanical Sciences 53: pp. 886-896 p://dx.doi.org/10.1016/j.ijmecsci.2011.07.012" target="_blank" title="It opens in new window">CrossRef
  16. Mukhophadhyay, S, Mondal, I C, Gorla, R S R (2013) 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 2: pp. 29-37 p://dx.doi.org/10.11648/j.ijepe.20130202.11" target="_blank" title="It opens in new window">CrossRef
  17. Motsa, S S, Hayat, T, Aldossary, O M (2012) MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method [J]. Applied Mathematics and Mechanics: English Edition 33: pp. 975-990 p://dx.doi.org/10.1007/s10483-012-1599-x" target="_blank" title="It opens in new window">CrossRef
  18. Mukhophadhyay, S (2009) 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 52: pp. 3261-3265 p://dx.doi.org/10.1016/j.ijheatmasstransfer.2008.12.029" target="_blank" title="It opens in new window">CrossRef
  19. Chen, C H (2009) 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 44: pp. 596-603 p://dx.doi.org/10.1016/j.ijnonlinmec.2009.02.004" target="_blank" title="It opens in new window">CrossRef
  20. Hayat, T, Abbas, Z, Pop, I, Asghar, S (2010) 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 53: pp. 466-474 p://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.09.010" target="_blank" title="It opens in new window">CrossRef
  21. Turkyilmazoglu, M, Pop, I (2013) 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 59: pp. 167-171 p://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.12.009" target="_blank" title="It opens in new window">CrossRef
  22. Choi, S U S, Eastman, J A (1995) Enhancing thermal conductivity of fluids with nanoparticles [J]. Materials Science 231: pp. 99-105
  23. Rashidi, M M, Beg, O A, Mehr, N F, Hosseini, A, Gorla, R S R (2012) Homotopy simulation of axisymmetric laminar mixed convection nanofluid boundary layer over a vertical cylinder [J]. Theoretical and Applied Mechanics 39: pp. 365-390 p://dx.doi.org/10.2298/TAM1204365R" target="_blank" title="It opens in new window">CrossRef
  24. Sheikholeslami, M, Ganji, D D (2013) Heat transfer of Cu-water nanofluid flow between parallel plates [J]. Powder Technology 235: pp. 873-879 p://dx.doi.org/10.1016/j.powtec.2012.11.030" target="_blank" title="It opens in new window">CrossRef
  25. Turkyilmazoglu, M (2013) Unsteady convection flow of some nanofluids past a moving vertical flat plate with heat transfer [J]. Journal of Heat Transfer 13: pp. 031704 p://dx.doi.org/10.1115/1.4025730" target="_blank" title="It opens in new window">CrossRef
  26. Mustafa, M, Hayat, T, Alsaedi, A (2013) Unsteady boundary layer flow of nanofuid past an impulsively stretching sheet [J]. Journal of Mechanics 29: pp. 423-432 p://dx.doi.org/10.1017/jmech.2013.9" target="_blank" title="It opens in new window">CrossRef
  27. Alsaedi, A, Awais, M, Hayat, T (2012) 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 17: pp. 4210-4223 p://dx.doi.org/10.1016/j.cnsns.2012.03.008" target="_blank" title="It opens in new window">CrossRef
  28. Shateyi, S, Makinde, O D (2013) Hydromagnetic stagnation point flow towards a radially stretching convectively heated disk [J]. Mathematical Problems in Engineering. pp. 616947
  29. Liu, Y P, Liao, S J, Li, Z B (2013) Symbolic computation of strongly nonlinear periodic oscillations [J]. Journal of Symbolic Computation 55: pp. 72-95 p://dx.doi.org/10.1016/j.jsc.2013.03.006" target="_blank" title="It opens in new window">CrossRef
  30. Abbasbandy, S, Hashemi, M S, Hashim, I (2013) On convergence of homotopy analysis method and its application to fractional integro-differential equations [J]. Quaestiones Mathematicae 36: pp. 93-105 p://dx.doi.org/10.2989/16073606.2013.780336" target="_blank" title="It opens in new window">CrossRef
  31. Zheng, L, Niu, J, Zhang, X, Gao, Y (2012) MHD flow and heat transfer over a porous shrinking surface with velocity slip and temperature jump [J]. Mathematical and Computer Modelling 56: pp. 133-144 p://dx.doi.org/10.1016/j.mcm.2011.11.080" target="_blank" title="It opens in new window">CrossRef
  32. Rashidi, M M, Rajvanshi, S C, Keimanesh, M (2012) Study of pulsatile flow in a porous annulus with the homotopy analysis method [J]. International Journal of Numerical Method For Heat & Fluid Flow 22: pp. 971-989 p://dx.doi.org/10.1108/09615531211271817" target="_blank" title="It opens in new window">CrossRef
  33. Ghanbari, M, Abbasbandy, S, Allahviranloo, T (2013) 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 12: pp. 355-364
  34. Turkyilmazoglu, M (2012) Solution of Thomas-Fermi equation with a convergent approach [J]. Communications in Nonlinear Science and Numerical Simulation 17: pp. 4097-4103 p://dx.doi.org/10.1016/j.cnsns.2012.01.030" target="_blank" title="It opens in new window">CrossRef
  35. Ramzan, M, Farooq, M, Alsaedi, A, Hayat, T (2013) MHD three-dimensional flow of couple stress fluid with Newtonian heating [J]. Europeian Physical Journal Plus 128: pp. 49 p://dx.doi.org/10.1140/epjp/i2013-13049-5" target="_blank" title="It opens in new window">CrossRef
  36. Hayat, T, Shehzad, S A, Ashraf, M B, Alsaedi, A (2013) Magnetohydrodynamic mixed convection flow of thixotropic fluid with thermophoresis and Joule heating [J]. Journal of Thermophysics and Heat Transfer 27: pp. 733-740 p://dx.doi.org/10.2514/1.T4039" target="_blank" title="It opens in new window">CrossRef
  
• 刊物类别：Engineering
• 刊物主题：Engineering, general
  Metallic Materials
  Chinese Library of Science
  
• 出版者：Central South University, co-published with Springer
• ISSN：2227-5223

文摘

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.