Abstract
A boundary layer flow of a non-Newtonian fluid in the presence of nanoparticles is examined. The flow is caused by a vertical stretching sheet. Convergence of the solution obtained is checked. The values of velocity, temperature, skin friction, and Nusselt number in the boundary layer are obtained.
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S. U. S. Choi and J. A. Eastman, “Enhancing Thermal Conductivity of Fluids with Nanoparticles,” in Proc. of the 1995 ASME. Int. Mech. Eng. Congress and Exhibition, San Francisco, USA, November 12–17, 1995 (ASME, 1995), pp. 99–105.
G. Polidori, S. Fohanno, and C. T. Nguyen, “A Note on Heat Transfer Modelling of Newtonian Nanofluids in Laminar Free Convection,” Int. J. Thermal Sci. 46, 739–744 (2007).
A. R. Moghadassi, S. M. Hosseini, D. Henneke, and A. Elkamel, “A Model of Nanofluids Effective Thermal Conductivity Based on Dimensionless Group,” J. Thermal Anal. Calorimetry 96, 81–84 (2009).
S. U. S. Choi, Z. G. Zhang, W. Yu, et al., “Anomalously Thermal Conductivity Enhancement in Nanotube Suspensions,” Appl. Phys. Lett. 79, 2252–2254 (2001).
M. Alinia, D. D. Ganji, and M. Gorji-Bandpy, “Numerical Study of Mixed Convection in an Inclined Two Sided Lid Driven Cavity Filled with Nanofluid using Two-Phase Mixture Model,” Int. Comm. Heat Mass Transfer 38, 1428–1435 (2011).
T. Grosan and I. Pop, “Axisymmetric Mixed Convection Boundary Layer Flow Past a Vertical Cylinder in a Nanofluid,” Int. J. Heat Mass Transfer 54, 3139–3145 (2011).
A. J. Chamkha and E. Abu-Nada, “Mixed Convection Flow in Single- and Double-Lid Driven Square Cavities Filled with Water–Al2O3 Nanofluid: Effect of Viscosity Models,” Eur. J. Mech., B: Fluids 36, 82–96 (2012).
M. A. A. Hamad, “Analytical Solution of Natural Convection Flow of a Nanofluid over a Linearly Stretching Sheet in the Presence of Magnetic Field,” Int. Comm. Heat Mass Transfer 38, 487–492 (2011).
H. F. Oztop, E. Abu-Nada, Y. Varol, and K. Al-Salem, “Computational Analysis of Non-Isothermal Temperature Distribution on Natural Convection in Nanofluid Filled Enclosures,” Superlattices Microstruct. 49, 453–467 (2011).
C. C. Cho, C. L. Chen, and C. K. Chen, “Mixed Convection Heat Transfer Performance of Water-Based Nanofluids in Lid-Driven Cavity with Wavy Surfaces,” Int. J. Thermal Sci. 68, 181–190 (2013).
M. Turkyilmazoglu, “Exact Analytical Solutions for Heat and Mass Transfer of MHD Slip Flow in Nanofluids,” Chem. Eng. Sci. 84, 182–187 (2012).
M. Turkyilmazoglu and I. Pop, “Heat and Mass Transfer of Unsteady Natural Convection Flow of Some Nanofluids Past a Vertical Infinite Flat Plate with Radiation Effect,” Int. J. Heat Mass Transfer 59, 167–171 (2013).
M. Sheikholeslami, M. Hatami, and D. D. Ganji, “Analytical Investigation of MHD Nanofluid Flow in a Semi- Porous Channel,” Powder Technol. 246, 327–336 (2013).
W. Ibrahim and O. D. Makinde, “The Effect of Double Stratification on Boundary-Layer Flow and Heat Transfer of Nanofluid Over a Vertical Plate,” Comput. Fluids 86, 433–441 (2013).
M. Sheikholeslami and D. D. Ganji, “Heat Transfer of Cu–Water Nanofluid Flow between Parallel Plates,” Powder Technol. 235, 873–879 (2013).
O. D. Makinde and A. Aziz, “Boundary Layer Flow of a Nanofluid Past a Stretching Sheet with a Convective Boundary Condition,” Int. J. Thermal Sci. 50, 1326–1332 (2011).
M. A. A. Hamad and M. A. Bashir, “Boundary Layer Flow and Heat Transfer of Power-Law Non-Newtonian Nanofluid over Vertical Stretching Sheet,” World Appl. Sci. J. 7, 172–178 (2009).
F. M. Hady, F. S. Ibrahim, S. M. Abdel-Gaied, and M. R. Eid, “Effect of Heat Generation/Absorption on Natural Convective Boundary-Layer Flow from a Vertical Cone Embedded in a Porous Medium Filled with a Non-Newtonian Nanofluid,” Int. Comm. Heat Mass Transfer 38, 1414–1420 (2011).
M. Hatami and D. D. Ganji, “Heat Transfer and Flow Analysis for SA–TiO2 Non-Newtonian Nanofluid Passing Through the Porous Media between Two Coaxial Cylinders,” J. Molecular Liquids 188, 155–161 (2013).
S. Nadeem, R. Mehmood, and N. S. Akbar, “Non-Orthogonal Stagnation Point Flow of a Nano Non-Newtonian Fluid towards a Stretching Surface with Heat Transfer,” Int. J. Heat Mass Transfer 57, 679–689 (2013).
S. J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method (Chapman and Hall–CRC Press, Boca Raton, 2003).
M. Turkyilmazoglu, “Solution of the Thomas–Fermi Equation with a Convergent Approach,” Comm. Nonlinear Sci. Numer. Simulat. 17, 4097–4103 (2012).
M. M. Rashidi, M. Keimanesh, and S. C. Rajvanshi, “Study of Pulsatile Flow in a Porous Annulus with the Homotopy Analysis Method,” Int. J. Numer. Methods Heat Fluid Flow 22, 971–989 (2012).
S. Abbasbandy, M. S. Hashemi, and I. Hashim, “On Convergence of Homotopy Analysis Method and Its Application to Fractional Integro-Differential Equations,” Quaestiones Math. 36, 93–105 (2013).
T. Hayat, S. A. Shehzad, H. H. Al-Sulami, and S. Asghar, “Influence of Thermal Stratification on the Radiative Flow of Maxwell Fluid,” J. Brazilian Soc. Mech. Sci. Eng. 35, 381–389 (2013).
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Original Russian Text © T. Hayat, M. Hussain, S.A. Shehzad, A. Alsaedi.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 1, pp. 199–206, January–February, 2016. Original article submitted November 28, 2013.
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Hayat, T., Hussain, M., Shehzad, S.A. et al. Flow of a power-law nanofluid past a vertical stretching sheet with a convective boundary condition. J Appl Mech Tech Phy 57, 173–179 (2016). https://doi.org/10.1134/S0021894416010193
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DOI: https://doi.org/10.1134/S0021894416010193