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.
Similar content being viewed by others
References
Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. Int Mech Eng Cong Exp, ASME, FED 231/MD 66:99–105
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
Maxwell JC (1881) A treatise on electricity and magnetism. Clarendon Press, Oxford UK
Buongiorno J (2006) Convective transport in nanofluids. J Heat Transf 128:240–250
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
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
Das K (2012) Slip flow and convective heat transfer of nanofluids over a permeable stretching surface. Comput Fluids 64:34–42
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
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
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
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
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
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
Bourantas GC, Loukopoulos VC (2014) Modelling the natural convective flow of micropolar nanofluids. Int J Heat Mass Transf 68:35–41
Ahuja AS (1975) Augmentation of heat transport in laminar flow of polystyrene suspensions. I. Experiments and results. J Appl Phys 46:3408–3425
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
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
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
Khan W, Pop I (2010) Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf 53:2477–2483
Mahapatra TR, Gupta AS (2002) Heat transfer in stagnation-point flow towards a stretching sheet. Heat Mass Transf 38:517–521
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
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
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11012-015-0145-9