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Mixed convection stagnation flow of a micropolar nanofluid along a vertically stretching surface with slip effects

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Abstract

The mixed convection boundary layer flow of a micropolar nanofluid near a stagnation point along a vertical stretching sheet is investigated. The transformed nonlinear system of ordinary differential equations are solved using the shooting technique with Runge-Kutta Fehlberg method. Comparisons between present and previous results in the absence of nanofluid are tabulated. Several flow velocity, temperature and nanoparticle volume fraction profiles are visualized. The graphical variations of the reduced skin friction coefficient, the reduced Nusselt number and the reduced Sherwood number of both assisting and opposing flows are also presented. The effects of material parameter and microrotation on the Nusselt number are similar with the findings of other researchers. The presence of slip velocity between the base fluid and the nanoparticles has significant impact on the heat transfer enhancement of the stagnation flow of micropolar nanofluid.

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References

  1. Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. Int Mech Eng Cong Exp, ASME, FED 231/MD 66:99–105

    MATH  Google Scholar 

  2. Kavitha T, Rajendran A, Durairajan A, Shanmugam A (2012) Heat transfer enhancement using nano fluids and innovative methods—an overview. Int J Mech Eng Tech 3:769–782

    Google Scholar 

  3. Maxwell JC (1881) A treatise on electricity and magnetism. Clarendon Press, Oxford UK

    Google Scholar 

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

    Article  Google Scholar 

  5. Noghrehabadi A, Pourrajab R, Ghalambaz M (2012) Effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature. Int J Thermal Sci 54:253–261

    Article  Google Scholar 

  6. Rahman MM, Al-Lawatia MA, Eltayeb IA, Al-Salti N (2012) Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation (or) absorption. Int J Thermal Sci 57:172–182

    Article  Google Scholar 

  7. Das K (2012) Slip flow and convective heat transfer of nanofluids over a permeable stretching surface. Comput Fluids 64:34–42

    Article  MathSciNet  Google Scholar 

  8. Ibrahim W, Shankar B (2013) MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions. Comput Fluids 75:1–10

    Article  MathSciNet  MATH  Google Scholar 

  9. Zheng L, Zhang C, Zhang X, Zhang J (2013) Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium. J Franklin Inst 350:990–1007

    Article  MathSciNet  MATH  Google Scholar 

  10. Ibrahim W, Shankar B, Nandeppanavar MM (2013) MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet. Int J Heat Mass Transf 56:1–9

    Article  Google Scholar 

  11. Hamad MAA, Ferdows M (2012) Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: a lie group analysis. Commun Nonlin Sc Numer Simulat 17:132–140

    Article  MathSciNet  MATH  Google Scholar 

  12. Bachok N, Ishak A, Pop I (2012) The boundary layers of an unsteady stagnation-point flow in a nanofluid. Int J Heat Mass Transf 55:6499–6505

    Article  Google Scholar 

  13. Nadeem S, Mehmood R, Akbar NS (2013) Non-orthogonal stagnation point flow of a nano non-Newtonian fluid towards a stretching surface with heat transfer. Int J Heat Mass Transf 57:679–689

    Article  Google Scholar 

  14. Bourantas GC, Loukopoulos VC (2014) Modelling the natural convective flow of micropolar nanofluids. Int J Heat Mass Transf 68:35–41

    Article  Google Scholar 

  15. Ahuja AS (1975) Augmentation of heat transport in laminar flow of polystyrene suspensions. I. Experiments and results. J Appl Phys 46:3408–3425

    Article  ADS  Google Scholar 

  16. Nadeem S, Rehman A, Vajravelu K, Lee J, Lee C (2012) Axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder. Math Prob Eng 2012:1–18. doi:10.1155/2012/378259

    MathSciNet  Google Scholar 

  17. Ishak A, Nazar R, Pop I (2006) Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet. Meccanica 41:509–518

    Article  Google Scholar 

  18. Rees DAS, Pop I (1998) Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate. IMA J Appl Math 61:179–197

    Article  MathSciNet  MATH  Google Scholar 

  19. Khan W, Pop I (2010) Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf 53:2477–2483

    Article  MATH  Google Scholar 

  20. Mahapatra TR, Gupta AS (2002) Heat transfer in stagnation-point flow towards a stretching sheet. Heat Mass Transf 38:517–521

    Article  ADS  Google Scholar 

  21. Nazar R, Amin N, Filip D, Pop I (2004) Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. Int J Eng Sci 42:1241–1253

    Article  MathSciNet  MATH  Google Scholar 

  22. Zadravec M, Hriberŝek M, Ŝkerget L (2009) Natural convection of micropolar fluid in an enclosure with boundary element method. Eng Anal with Bound Elem 33:485–492

Download references

Acknowledgments

We thank the respected anonymous reviewer/s who contributed towards improvement of this paper. This research is funded by the University of Malaya (UM) research grant BK015-2012.

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Correspondence to N. F. M. Noor.

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Noor, N.F.M., Haq, R.U., Nadeem, S. et al. Mixed convection stagnation flow of a micropolar nanofluid along a vertically stretching surface with slip effects. Meccanica 50, 2007–2022 (2015). https://doi.org/10.1007/s11012-015-0145-9

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  • DOI: https://doi.org/10.1007/s11012-015-0145-9

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