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Role of brownian motion and thermophoresis effects on hydromagnetic flow of nanofluid over a nonlinearly stretching sheet with slip effects and solar radiation

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Hydromagnetic flow of water based nanofluids over a nonlinearly stretching sheet in the presence of velocity slip, temperature jump, magnetic field, nonlinear thermal radiation, thermophoresis and Brownian motion has been studied. The article focuses on Cu water nanofluid and Ag water nanofluid. The similarity transformation technique is adopted to reduce the governing nonlinear partial differential equations into nonlinear ordinary differential equations and then they are solved numerically utilizing the Nachistem – Swigert shooting method along with the fourth order Runge Kutta integration technique. The influence of physical parameters on the flow, temperature and nanoparticle volume fraction are presented through graphs. Also the values of the skin friction coefficient at the wall and nondimensional rate of heat transfer are given in a tabular form. A comparative study with previous published results is also made.
Rocznik
Strony
489--508
Opis fizyczny
Bibliogr. 26 poz., tab., wykr.
Twórcy
  • Department of Applied Mathematics, Bharathiar University Coimbatore-46, Tamilnadu, INDIA
autor
  • Department of Applied Mathematics, Bharathiar University Coimbatore-46, Tamilnadu, INDIA
Bibliografia
  • [1] Chaim C.(1995): Hydromagnetic flow over a surface stretching with a power law velocity. International Journal of Engineering Science, vol.33, No.3, pp.429-435.
  • [2] Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surfaces: II boundary layer on a continuous flat surface. AIChE J., vol.7, pp.221–225.
  • [3] Choi S. (1995): Enhancing thermal conductivity of fluids with nanoparticles. In: Sidiner D.A., Wang H.P., (eds) Developments and applications of non-Newtonian flows. ASMEFED, 231/MD, pp.99-105.
  • [4] Lee S., Choi S., Li S. and Eastman J.A. (1999): Measuring thermal conductivity of fluids containing oxide nanoparticles. Journal of Heat Transfer, vol.121, No.2, pp.280-289.
  • [5] Wang X., Xu .X. and Choi S. (1999): Thermal conductivity of nanoparticle-fluid mixture. Journal of Thermophysics and Heat Transfer, vol.13, pp.474–480.
  • [6] Xuan Y. and Li Q. (2000): Heat transfer enhancement of nanofluids. International Journal of Heat and Fluid Flow, vol.21, No.1, pp.58–64.
  • [7] Yu W. and Choi S.U.S. (2003): The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. J. Nanopart. Res., vol.5, pp.167-171.
  • [8] Buongiorna J. (2006): Convective transport in nanofluids. ASME Journal of Heat Transfer, vol.128, No.3, pp.240-250.
  • [9] Das S.K., Choi S., Yu W. and Pradeep T. (2007): Conduction Heat Transfer in Nanofluids. Science and Technology (Hoboken, NJ: Wiley).
  • [10] Yuwen Zhang, Ling Li, Ma H.B. and Mo Yang (2009): Effect of Brownian and thermophoretic diffusions of nanoparticles on nonequilibrium heat conduction in a nanofluid layer with periodic heat flux. Numerical Heat Transfer Part A 56, pp.325-341.
  • [11] Vajravelu K., Prasad K.V., Jinho Lee, Changhoon Lee, Pop I., Robert A. and Van Gorder (2011): Convective heat transfer in the flow of viscous Ag–water and Cu– water nanofluids over a stretching surface. Int. J. Therm. Sci., vol.50, pp.843–851.
  • [12] Hamad M. and Ferdows M. (2012): Similarity solutions to viscous flow and heat transfer of nanofluid over nonlinearly stretching sheet. Applied Mathematics & Mechanics, vol.33, No.7, pp.923.
  • [13] Vikrant Khullar and Himanshu Tyagi (2012): Solar energy harvesting using nanofluids-based concentrating solar collector. ASME Journal of Nanotechnology in Engineering and Medicine, vol.3, No.3.
  • [14] Mukhopadhyay S. (2013): Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation. Ain Shams Engineering Journal, vol.4, pp.485-491.
  • [15] Sohail Nadeem, Rizwan Ul Haq and Zafar Hayat Khan (2014): Heat transfer analysis of water-based nanofluid over an exponentially stretching sheet. Alexandria Engineering Journal, vol.53, pp.219-224.
  • [16] Md. Shakhaoath Khan, Md. Mahmud Alam and Ferdows M. (2011): MHD radiative boundary layer nanofluid flow past a stretching sheet. In: Proceedings of the International Conference on Mechanical Engineering and Renewable Energy,(ICMERE2011), Chittagong, Bangladesh, pp.22-24.
  • [17] Mohammad Mehdi Keshtkar and Babak Amiri (2013): MHD Flow and heat transfer nanofluid over a permeable stretching sheet. International Journal of Engineering and Innovative Technology (IJEIT), vol.3, No.3.
  • [18] Malvandi, Hedayati F. and Ganji D.D. (2014): Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet. Powder Technology, vol.253, pp.377-384.
  • [19] Shateyi S. and Prakash J. (2014): A new numerical approach for MHD laminar boundary layer flow and heat transfer of nanofluids over a moving surface in the presence of thermal radiation. Boundary Value Problems, vol.2.
  • [20] Krishnamurthy M.R., Prasannakumara B.C., Gireesha B.J. and Gorla R.S.R. (2015): Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluidparticle suspension. Applied and Interdisciplinary Mathematics, vol.2, pp.1-18.
  • [21] Falana A., Ojewale O.A., Adeboje T.B. (2016): Effect of Brownian motion and thermophoresis on a nonlinearly stretching permeable sheet in a nanofluid. Advances in Nanoparticles, vol.5, pp.123-134.
  • [22] Nield D.A. and Kuznetsov A.V. (2014): Thermal instability in a porous medium layer Saturated by a nanofluid: A revised model. Int. J. Heat Mass Transfer, vol.68, pp.211-214.
  • [23] Rosseland S. (1936): Theoretical Astrophysics. Oxford: Clarendon Press.
  • [24] Anjali Devi S.P. and Mekala S. (2015): Thermal radiation effects on hydromagnetic flow of nanofluid over a nonlinearly stretching sheet in the existence of variable heat generation and viscous dissipation. Int. J. of Science and Research, vol.4, No.3, pp.935-943.
  • [25] Cortell R. (2007): Viscous flow and heat transfer over a nonlinearly stretching sheet. Applied Maths and 864-873.
  • [26] Ahmad S., Rohni A.M. and Pop I. (2011): Blasious and Sakiadis problems in nanofluids. Acta Mechanica, vol.218, pp.195-204.
Uwagi
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Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)
Typ dokumentu
Bibliografia
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