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2011 | 9 | 5 | 1195-1202
Tytuł artykułu

Stagnation-point flow past a shrinking sheet in a nanofluid

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, the stagnation-point flow and heat transfer towards a shrinking sheet in a nanofluid is considered. The nonlinear system of coupled partial differential equations was transformed and reduced to a nonlinear system of coupled ordinary differential equations, which was solved numerically using the shooting method. Numerical results were obtained for the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles for some values of the governing parameters, namely the nanoparticle volume fraction φ, the shrinking parameter λand the Prandtl number Pr. Three different types of nanoparticles are considered, namely Cu, Al2O3 and TiO2. It was found that nanoparticles of low thermal conductivity, TiO2, have better enhancement on heat transfer compared to nanoparticles Al2O3 and Cu. For a particular nanoparticle, increasing the volume fraction φ results in an increase of the skin friction coefficient and the heat transfer rate at the surface. It is also found that solutions do not exist for larger shrinking rates and dual solutions exist when λ < −1.0.
Wydawca

Czasopismo
Rocznik
Tom
9
Numer
5
Strony
1195-1202
Opis fizyczny
Daty
wydano
2011-10-01
online
2011-09-15
Twórcy
  • Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia, rmn72my@yahoo.com
  • Faculty of Mathematics, University of Cluj, R-3400, Cluj, CP 253, Romania
  • Institute for Mathematical Research & Department of Mathematics, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia
autor
  • Faculty of Mathematics, University of Cluj, R-3400, Cluj, CP 253, Romania
Bibliografia
  • [1] R. Kamali, A.R. Binesh, Int. Commun. Heat Mass 37, 1153(2010) http://dx.doi.org/10.1016/j.icheatmasstransfer.2010.06.001[Crossref]
  • [2] S. Choi, In: D.A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows (ASME, New York, 1995) 99
  • [3] K. Khanafer, K. Vafai, M. Lightstone, Int. J. Heat Mass Tran. 46, 3639 (2003) http://dx.doi.org/10.1016/S0017-9310(03)00156-X[Crossref]
  • [4] S.K. Das, S.U.S. Choi, W. Yu, T. Pradeep, Nanofluids: Science and Technology (Wiley, NewJersey, 2007) http://dx.doi.org/10.1002/9780470180693[Crossref]
  • [5] J. Buongiorno, J. Heat Transf. 128, 240(2006) http://dx.doi.org/10.1115/1.2150834[Crossref]
  • [6] X.Q. Wang, A.S. Mujumdar, Int. J. Therm. Sci. 46, 1 (2007) http://dx.doi.org/10.1016/j.ijthermalsci.2006.06.010[Crossref]
  • [7] S. Kakaç, A. Pramuanjaroenkij, Int. J. Heat Mass Tran. 52, 3187(2009) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.02.006[Crossref]
  • [8] R.J. Tiwari, M.K. Das, Int. J. Heat Mass Tran. 50, 2002 (2007) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.09.034[Crossref]
  • [9] H.F. Oztop, E. Abu-Nada, Int. J. Heat Fluid Fl. 29, 1326(2008) http://dx.doi.org/10.1016/j.ijheatfluidflow.2008.04.009[Crossref]
  • [10] M. Muthtamilselvan, P. Kandaswamy, J. Lee, Commun. Nonlinear Sci. 15, 1501(2010) http://dx.doi.org/10.1016/j.cnsns.2009.06.015[Crossref]
  • [11] N. Bachok, A. Ishak, R. Nazar, I. Pop, Physica B 405, 4914(2010) http://dx.doi.org/10.1016/j.physb.2010.09.031[Crossref]
  • [12] C.Y. Wang, Int. J. Nonlin. Mech. 43, 377(2008) http://dx.doi.org/10.1016/j.ijnonlinmec.2007.12.021[Crossref]
  • [13] P.D. Weidman, D.G. Kubitschek, A.M.J. Davis, Int. J. Eng. Sci. 44, 730(2006) http://dx.doi.org/10.1016/j.ijengsci.2006.04.005[Crossref]
  • [14] T.-G. Fang, J. Zhang, S.-S. Yao, Chinese Phys. Lett. 26, 014703–1 (2009) http://dx.doi.org/10.1088/0256-307X/26/1/014703[Crossref]
  • [15] T. Hayat, Z. Abbas, M. Sajid, J. Appl. Mech. 74, 1165 (2007) http://dx.doi.org/10.1115/1.2723820[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-011-0024-5
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