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Mixed convection flow of viscoelastic nanofluid over a stretching cylinder

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Abstract

Boundary layer flow of viscoelastic fluid over a stretching cylinder is examined in this paper. Brownian motion and thermophoresis effects are studied in the presence of mixed convection. The governing boundary layer partial differential equations are reduced into ordinary differential equations through suitable transformations. The homotopic series solutions have been developed. Influence of physical parameters on the velocity, temperature and concentration fields are analyzed graphically. Local Nusselt and Sherwood numbers are computed numerically for different values of parameters. Physical interpretation is discussed.

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References

  1. Sanjayanand E, Khan SK (2006) On heat and mass transfer in a viscoelastic boundary layer flow over an exponentially stretching sheet. Int J Thermal Sci 45:819–828

    Article  Google Scholar 

  2. Sajid M, Hayat T (2008) Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet. Int Commun Heat Mass Transf 35:347–356

    Article  Google Scholar 

  3. Mukhopadhyay S (2013) Casson fluid flow and heat transfer over a nonlinearly stretching surface. Chin Phys B 22:074701

    Article  Google Scholar 

  4. 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. Int J Heat Mass Transf 57:82–88

    Article  Google Scholar 

  5. Turkyilmazoglu M (2011) Multiple solutions of heat and mass transfer of MHD slip flow for the viscoelastic fluid over a stretching sheet. Int J Thermal Sci 50:2264–2276

    Article  Google Scholar 

  6. Wang CY (1988) Fluid flow due to a stretching cylinder. Phys Fluids 31:466–468

    Article  Google Scholar 

  7. Bachok N, Ishak A (2010) Flow and heat transfer over a stretching cylinder with prescribed surface heat flux. Mal J Math Sci 4:159–169

    Google Scholar 

  8. Chuhan DS, Rastogi P, Agrawal R (2014) Magnetohydrodynamic flow and heat transfer in a porous medium along a stretching cylinder with radiation: homotopy analysis method. Afric Math 25:115–134

    Article  Google Scholar 

  9. Mukhopadhyay S (2013) Slip effects on boundary layer flow and heat transfer along a stretching cylinder. Int J Appl Mech Eng 18:447–459

    Google Scholar 

  10. Mukhopadhyay S (2013) MHD boundary layer slip flow along a stretching cylinder. A S Eng J 4:317–324

    Google Scholar 

  11. Eastman JA, Choi SUS, Li S, Yu W, Thompson LJ (2001) Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl Phys Lett 78:718–720

    Article  Google Scholar 

  12. Choi SUS, Zhang ZG, Lockwood FE, Grulke EA (2001) Anomalous thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett 79:2252–2254

    Article  Google Scholar 

  13. Buongiorno J (2006) Convective transport in nanofluids. J Heat Transf 128:240–250

    Article  Google Scholar 

  14. Makinde OD, Aziz A (2011) Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int J Thermal Sci 50:1326–1332

    Article  Google Scholar 

  15. 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. Commun Nonlinear Sci Numer Simul 17:4210–4223

    Article  MATH  MathSciNet  Google Scholar 

  16. Mustafa M, Hayat T, Alsaedi A (2013) Unsteady boundary layer flow of nanofuid past an impulsively stretching sheet. J Mech 29:423–432

    Article  Google Scholar 

  17. Rashidi MM, Bég OA, Mehr NF, Hosseini A, Gorla RSR (2012) Homotopy simulation of axisymmetric laminar mixed convection nanofluid boundary layer over a vertical cylinder. Theor Appl Mech 39:365–390

    Article  MATH  MathSciNet  Google Scholar 

  18. Turkyilmazoglu M (2013) Unsteady convection flow of some nanofluids past a moving vertical flat plate with heat transfer. J Heat Transf 136:031704

    Article  Google Scholar 

  19. Rashidi MM, Mehr NF, Hosseini A, Bég OA, Hung TK (2014) Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration. Meccanica 49:469–482

    Article  Google Scholar 

  20. Tiwari RK, Das MK (2007) Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transf 50:2002–2018

    Article  MATH  Google Scholar 

  21. Hayat T, Shehzad SA, Alsaedi A, Alhothuali MS (2012) Mixed convection stagnation point flow of Casson fluid with convective boundary conditions. Chin Phys Lett 29:114704

    Article  Google Scholar 

  22. Pal D, Mondal H (2012) Soret and Dufour effects on MHD non-Darcian mixed convection heat and mass transfer over a stretching sheet with non-uniform heat source/sink. Phys B 407:642–651

    Article  Google Scholar 

  23. Mukhopadhyay S, Ishak A (2012) Mixed convection flow along a stretching cylinder in a thermally stratified medium. J Appl Mech 2012:491695

    MathSciNet  Google Scholar 

  24. Rehman A, Nadeem S (2012) Mixed convection heat transfer in Micropolar nanofluid over a vertical slender cylinder. Chin Phys Lett 29:124701

    Article  Google Scholar 

  25. Rashidi MM, Chamkha AJ, Keimanesh M (2011) Application of multi-step differential transform method on flow of a second-grade fluid over a stretching or shrinking sheet. Am J Comput Math 6:119–128

    Article  Google Scholar 

  26. Ahmad A, Asghar S (2011) Flow of a second grade fluid over a sheet stretching with arbitrary velocities subject to a transverse magnetic field. Appl Math Lett 24:1905–1909

    Article  MATH  MathSciNet  Google Scholar 

  27. Hayat T, Shehzad SA, Qasim M, Obaidat S (2011) Flow of a second grade fluid with convective boundary conditions. Thermal Sci 15:S253–S261

    Article  Google Scholar 

  28. Jamil M, Rauf A, Fetecau C, Khan NA (2011) Helical flows of second grade fluid due to constantly accelerated shear stresses. Commun Nonlinear Sci Numer Simul 16:1959–1969

    Article  MATH  MathSciNet  Google Scholar 

  29. Nazar M, Fetecau C, Vieru D, Fetecau C (2010) New exact solutions corresponding to the second problem of Stokes for second grade fluids. Nonlinear Analysis: Real World Appl 11:584–591

  30. Liu YP, Liao SJ, Li ZB (2013) Symbolic computation of strongly nonlinear periodic oscillations. J Symb Comput 55:72–95

    Article  MATH  MathSciNet  Google Scholar 

  31. Abbasbandy S, Hashemi MS, Hashim I (2013) On convergence of homotopy analysis method and its application to fractional integro-differential equations. Quaest Math 36:93–105

    Article  MATH  MathSciNet  Google Scholar 

  32. 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. Math Comput Model 56:133–144

    Article  MATH  MathSciNet  Google Scholar 

  33. Rashidi MM, Rajvanshi SC, Keimanesh M (2012) Study of Pulsatile flow in a porous annulus with the homotopy analysis method. Int J Numer Methods Heat Fluid Flow 22:971–989

    Article  Google Scholar 

  34. Turkyilmazoglu M (2012) Solution of Thomas–Fermi equation with a convergent approach. Commun Nonlinear Sci Numer Simul 17:4097–4103

    Article  MATH  MathSciNet  Google Scholar 

  35. Hayat T, Shehzad SA, Ashraf MB, Alsaedi A (2013) Magnetohydrodynamic mixed convection flow of thixotropic fluid with thermophoresis and Joule heating. J Thermophys Heat Transf 27:733–740

    Article  Google Scholar 

  36. Hassan HN, Rashidi MM (2014) An analytic solution of micropolar flow in a porous channel with mass injection using homotopy analysis method. Int J Numer Methods Heat Fluid Flow 24:419–437

    Article  MathSciNet  Google Scholar 

  37. Hayat T, Ashraf MB, Alsulami HH, Alhuthali MS (2014) Three dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions. Plos One 9:e90038

    Article  Google Scholar 

  38. Hayat T, Shehzad SA , Al-Sulami HH, Asghar S (2013) Influence of thermal stratification on the radiative flow of Maxwell fluid. J Br Soc Mech Sci Eng 35:381–389

    Article  Google Scholar 

  39. Hayat T, Ashraf MB, Mezel SA, Shehzad SA (2014) Mixed convection flow of an Oldroyd-B fluid with power law heat flux and heat source. J Br Soc Mech Sci Eng. doi:10.1007/s40430-014-0165-8

  40. Schlichting H (1964) Boundary layer theory, 6th edn. McGraw-Hill, New York

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Acknowledgments

We are grateful to the reviewers for the useful suggestions. This paper was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, under grant number (37-130-35-Hi Ci). The authors, therefore, acknowledge technical and financial support of KAU.

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Correspondence to M. Bilal Ashraf.

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Technical Editor: Francisco Ricardo Cunha.

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Hayat, T., Ashraf, M.B., Shehzad, S.A. et al. Mixed convection flow of viscoelastic nanofluid over a stretching cylinder. J Braz. Soc. Mech. Sci. Eng. 37, 849–859 (2015). https://doi.org/10.1007/s40430-014-0219-y

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  • DOI: https://doi.org/10.1007/s40430-014-0219-y

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