Abstract
A steady two-dimensional magnetohydrodynamic stagnation-point flow of an electrically conducting fluid and heat transfer with thermal radiation of a nanofluid past a shrinking and stretching sheet is investigated numerically. The model used for the nanofluid incorporates the effects of the Brownian motion and thermophoresis. A similarity transformation is used to convert the governing nonlinear boundary-layer equations into coupled higher-order nonlinear ordinary differential equations. The result shows that the velocity, temperature, and concentration profiles are significantly influenced by the Brownian motion, heat radiation, and thermophoresis particle deposition.
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References
A. B.Ahmadreza, Application of Nanofluid for Heat Transfer Enhancement (Florida Int. Univ., Florida 2013); PID: 2739168, EEE-5425.
K. Hiemenz, “Die Grenzschicht in Einem in Dem Gleichformingen Flussig Keitsstrom Eingetauchten Gerade Kreiszlinder,” Dingler’s Polytech. J. 326, 321–410 (1911).
T. C. Chiam, “Stagnation-Point Flow Towards a Stretching Plate,” J. Phys. Soc. Jpn. 63, 2443–2444 (1994).
T. R. Mahapatra and A. S. Gupta, “Heat Transfer in Stagnation-Point Flow Towards a Stretching Sheet,” Heat Mass Transfer 38, 517–521 (2002).
A. Ishak, K. Jafar, R. Nazar, and I. Pop, “MHD Stagnation Point Flow Towards a Stretching Sheet,” Phys. A. Stat. Mech. Appl. 388, 3377–3383 (2009).
S. Nadeem, M. Hussein, and M. Naz, “MHD Stagnation Flow of Amicropolar Fluid through a Porous Medium,” Meccanica 45, 869–880 (2010).
S. U. S. Choi and J. A. Eastman, “Enhancing Thermal Conductivity of Fluid with Nanoparticles,” Develop. Appl. Non-Newtonian Flows 231, 99–105 (1995).
J. A. Shercliff, A Textbook of Magnetohydrodynamics (Pergamon Press, Oxford, 1965).
S. K. Nandy and I. Pop, “Effects of Magnetic Field and Thermal Radiation on Stagnation Flow and Heat Transfer of Nanofluid over a Shrinking Surface,” Int. Comm. Heat Mass Transfer 53, 50–55 (2014.)
T. G. Fang and J. Zhang, “Thermal Boundary Layers over a Shrinking Sheet: An Analytical Solution,” Acta Mech. 209, 325–343 (2010).
S. Goldstein, “On Backward Boundary Layers and Flow in Converging Passages,” J. Fluid Mech. 21 (1), 33–45 (1965).
M. Miklavcic and C. Y. Wang, “Viscous Flow due to a Shrinking Sheet,” Quart. Appl. Math. 64, 283–290 (2006).
C. Y. Wang, “Stagnation Flow Towards a Shrinking Sheet,” Int. J. Nonlinear Mech. 43, 377–382 (2008).
R. A. Van Gorder, K. Vajravelu, and I. Pop, “Hydromagnetic Stagnation-Point Flow of a Viscous Fluid Over a Stretching/Shrinking Sheet,” Meccanica 47 (1), 31–50 (2012).
T. Fang, “Boundary Layer Flow Over a Shrinking Sheet with Power-Law Velocity,” Int. J. Heat Mass Transfer 51, 5838–5843 (2008).
T. Fang, J. Zhang, and S. Yao, “Viscous Flow Over an Unsteady Shrinking Sheet with Mass Transfer,” Chinese Phys. Lett. 26, 014703 (2009).
A. Ishak, Y. Y. Lok, and I. Pop, “Stagnation-Point Flow over a Shrinking Sheet in a Micro Polar Fluid,” Chem. Eng. Comm. 197, 1417–1427 (2010).
Y. Y. Lok, A. Ishak, and I. Pop, “MHD Stagnation-Point Flow Towards a Shrinking Sheet,” Int. J. Numer. Methods Heat Fluid Flow 21 (1), 61–72 (2011).
K. Bhattacharyya, S. Mukhopadhyay, and G. C. Layek, “Effects of Suction/Blowing on Steady Boundary Layer Stagnation-Point Flow and Heat Transfer Towards a Shrinking Sheet with Thermal Radiation,” Int. J. Heat Mass Transfer 54, 302–307 (2011).
K. Bhattacharyya, “Dual Solutions in Boundary Layer Stagnation-Point Flow and Mass Transfer with Chemical Reaction Past a Stretching/Shrinking Sheet,” Int. Comm. Heat Mass Transfer 38, 917–922 (2011).
N. Bachok, A. Ishak, and I. Pop, “Stagnation-Point Flow over a Stretching/Shrinking Sheet in a Nanofluid,” Nanoscale Res. Lett., No. 6, 623–632 (2011).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 58, No. 1, pp. 82–91, January–February, 2017.
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Kandasamy, R., Balachandar, V.V. & Hasan, S.B. Magnetohydrodynamic and heat transfer effects on the stagnation-point flow of an electrically conducting nanofluid past a porous vertical shrinking/stretching sheet in the presence of variable stream conditions. J Appl Mech Tech Phy 58, 71–79 (2017). https://doi.org/10.1134/S0021894417010084
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DOI: https://doi.org/10.1134/S0021894417010084