Abstract
This article addresses the boundary layer flow of a thixotropic fluid past an exponentially stretching sheet with heat transfer. The governing partial differential equations are reduced to an ordinary differential equation whose solution is found by the homotopy analysis method. The numerical values of the skin friction coefficient and Nusselt number are compared with available data.
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References
S. Wang and W. C. Tan, “Stability Analysis of Soret-Driven Double-Diffusive Convection of Maxwell Fluid in a Porous Medium,” Int. J. Heat Fluid Flow 32, 88–94 (2011).
M. Pakdemirli, T. Hayat, M. Yürüsoy, et al., “Perturbation Analysis of a Modified Second Grade Fluid over a Porous Plate,” Nonlinear Anal.: Real World Appl. 12, 1774–1785 (2011).
M. Jamil and C. Fetecau, “Some Exact Solutions for Rotating Flows of a Generalized Burgers’ Fluid in Cylindrical Domains,” J. Non-Newtonian Fluid Mech. 165, 1700–1712 (2010).
T. Hayat, S. A. Shehzad, M. Qasim, and S. Obaidat, “Steady Flow of Maxwell Fluid with Convective Boundary Conditions,” Z. Naturforsch. Ser. A 66a, 417–422 (2011).
M. M. Rashidi, S. A. M. Pour, and S. Abbasbandy, “Analytic Approximate Solutions for Heat Transfer of a Micropolar Fluid through a Porous Medium with Radiation,” Comm. Nonlinear Sci. Numer. Simulat. 16, 1874–1889 (2011).
M. A. A. Mahmoud and A. M. Megahed, “Effects of Viscous Dissipation and Heat Generation (Absorption) in a Thermal Boundary Layer of a Non-Newtonian Fluid over a Continuously Moving Permeable Flat Plate,” J. Appl. Mech. Tech. Phys. 50 (5), 819–825 (2009).
S. Sadeqi, N. Khabazi, and K. Sadeghy, “Blasius Flow of Thixotropic Fluids: A Numerical Study,” Comm. Nonlinear Sci. Numer. Simulat. 16, 711–721 (2011).
B. C. Sakiadis, “Boundary Layer Behavior on Continuous Solid Surfaces. 1. Boundary Layer Equations for Two Dimensional and Axisymmetric Flow,” AIChE. J. 7, 26–28 (1961).
L. J. Crane, “Flow Past a Stretching Plate,” Z. Angew. Math. Phys. 21, 645–647 (1970).
G. M. A. Rahman, “Thermal-Diffusion and MHD for Soret and Dufour’s Effects on Hiemenz Flow and Mass Transfer of Fluid Flow through Porous Medium onto a Stretching Surface,” Physica B 405, 2560–2569 (2010).
T. Fang, J. Zhang, and S. Yao, “A New Family of Unsteady Boundary Layers over a Stretching Surface,” Appl. Math. Comput. 217, 3747–3755 (2010).
A. Ahmad and S. Asghar, “Flow of a Second Grade Fluid over a Sheet Stretching with Arbitrary Velocities Subject to a Transverse Magnetic Field,” Appl. Math. Lett. 24, 1905–1909 (2011).
B. Yao and J. Chen, “Series Solution to the Falkner–Skan Equation with Stretching Boundary,” Appl. Math. Comput. 208, 156–164 (2009).
A. A. Joneidi, G. Domairry, and M. Babaelahi, “Analytical Treatment of MHD Free Convective Flow and Mass Transfer over a Stretching Sheet with Chemical Reaction,” J. Taiwan Inst. Chem. Eng. 41, 35–43 (2010).
R. Kandasamy, and I. Hashim, “Effect of Chemical Reaction, Heat and Mass Transfer on Nonlinear Boundary Layer Past a Porous Shrinking Sheet in the Presence of Suction,” Nuclear Eng. Design 240, 933–939 (2010).
T. Hayat, M. Qasim, and Z. Abbas, “Radiation and Mass Transfer Effects on the Magnetohydrodynamic Unsteady Flow Induced by a Stretching Sheet,” Z. Naturforsch., Ser. A 64, 231–239 (2010).
T. Hayat, S. A. Shehzad, and M. Qasim, “Mixed Convection Flow of a Micropolar Fluid with Radiation and Chemical Reaction,” Int. J. Numer. Methods Fluids 67, 2375–2387 (2011).
R. Md. Kasmani, I. Muhaimin, and R. Kandasamy, “Laminar Boundary Layer Flow of a Nanofluid along a Wedge in the Presence of Suction/Injection,” J. Appl. Mech. Tech. Phys. 54 (3), 377–384 (2013).
P. S. Gupta and A. S. Gupta, “Heat and Mass Transfer on a Stretching Sheet with Suction and Blowing,” Canad. J. Chem. Eng. 55, 744–746 (1977).
E. M. A. Elbashbeshy, “Heat Transfer over an Exponentially Stretching Continuous Surface with Suction,” Arch. Mech. 53, 643–651 (2001).
M. K. Partha, P. V. S. N.Murthy, and G. P. Rajasekhar, “Effects of Viscous Dissipation on the Mixed Convection Heat Transfer from an Exponentially Stretching Surface,” Heat Mass Transfer 41, 360–366 (2005).
M. Sajid and T. Hayat, “Influence of Thermal Radiation on the Boundary Layer Flow Due to an Exponentially Stretching Sheet,” Int. Comm. Heat Mass Transfer 35, 347–356 (2008).
S. K. Khan, “Boundary Layer Viscoelastic Fluid Flow over an Exponentially Stretching Sheet,” Int. J. Appl. Mech. Eng. 11, 321–335 (2006).
S. K. Khan and E. Sanjayanand, “Viscoelastic Boundary Layer Flow and Heat Transfer over an Exponential Stretching Sheet,” Int. J. Heat Mass Transfer 48, 1534–1542 (2005).
B. Bidin and R. Nazar, “Numerical Solution of the Boundary Layer Flow over an Exponentially Stretching Sheet with Thermal Radiation,” Europ. J. Sci. Res. 33, 710–717 (2009).
D. Pal, “Mixed Convection Heat Transfer in the Boundary Layers on an Exponentially Stretching Surface with Magnetic Field,” Appl. Math. Comput. 217, 2356–2369 (2010).
B. Sahoo and S. Poncet, “Flow and Heat Transfer of a Third Grade Fluid Past an Exponentially Stretching Sheet with Partial Slip Boundary Condition,” Int. J. Heat Mass Transfer 54, 5010–5019 (2011).
S. Mukhopadhyay, M. Golam Arif, and M. Wazed Ali, “Effects of Partial Slip on Chemically Reactive Solute Transfer in the Boundary Layer Flow over an Exponentially Stretching Sheet with Suction/Blowing,” J. Appl. Mech. Tech. Phys. 54 (6), 928–936 (2013).
S. J. Liao, Beyond Perturbation: Introduction to Homotopy Analysis Method (Chapman and Hall–CRC Press, Boca Raton, 2003).
M. M. Rashidi and S. A. M. Pour, “Analytic Approximate Solutions for Unsteady Boundary-Layer Flow and Heat Transfer due to a Stretching Sheet by Homotopy Analysis Method,” Nonlinear Anal. Model. Control. 15, 83–95 (2010).
R. Kandasamy and I. Muhaimin, “Homotopy Analysis Method for Thermophoretic Particle Deposition Effect on Magnetohydrodynamic Mixed Convective Heat and Mass Transfer Past a Porous Wedge in the Presence of Suction,” J. Appl. Mech. Tech. Phys. 51, (2), 249–260 (2010).
H. Tabaei, M. A. Moghimi, A. Kimiaeifar, and M. A. Moghimi, “Homotopy Analysis and Differential Quadrature Solution of the Problem of Free-Convective Magnetohydrodynamic Flow over a Stretching Sheet with the Hall Effect and Mass Transfer Taken into Account,” J. Appl. Mech. Tech. Phys. 52 (4), 624–636 (2011).
Z. Ziabakhsh, G. Domairry, H. Bararnia, and H. Babazadeh, “Analytical Solution of Flow and Diffusion of Chemically Reactive Species over a Nonlinearly Stretching Sheet Immersed in a Porous Medium,” J. Taiwan Inst. Chem. Eng. 41, 22–28 (2010).
M. Turkyilmazoglu, “Solution of the Thomas–Fermi Equation with a Convergent Approach,” Comm. Nonlinear Sci. Numer. Simulat. 17, 4097–4103 (2012).
S. Abbasbandy and A. Shirzadi, “Homotopy Analysis Method for a Nonlinear Chemistry Problem,” Studies Nonlinear Sci. 1, 127–132 (2010).
S. A. Shehzad, A. Alsaedi, and T. Hayat, “Hydromagnetic Steady Flow of Maxwell Fluid over a Bidirectional Stretching Surface with Prescribed Surface Temperature and Prescribed Surface Heat Flux,” Plos One 8, e68139 (2013).
T. Hayat, M. Waqas, S. A. Shehzad, and A. Alsaedi, “Mixed Convection Radiative Flow of Maxwell Fluid Near a Stagnation Point with Convective Condition,” J. Mech. 29, 403–409 (2013).
F. E. Alsaadi, S. A. Shehzad, T. Hayat, and S. J. Monaquel, “Soret and Dufour Effects on the Unsteady Mixed Convection Flow over a Stretching Surface,” J. Mech. 29, 623–632 (2013).
A. Moradi, H. Ahmadikia, T. Hayat, and A. Alsaedi, “On Mixed Convection Radiation Interaction about an Inclined Plate through a Porous Medium,” Int. J. Thermal Sci. 64, 129–136 (2013).
S. Sadri and M. Babaelahi, “Analysis of Laminar Boundary Layer Flow over a Flat Plate with Injection or Suction,” J. Appl. Mech. Tech. Phys. 54 (1), 59–67 (2013).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 4, pp. 114–124, July–August, 2016.
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Shehzad, S.A., Hayat, T. & Alsaedi, A. Flow of a thixotropic fluid over an exponentially stretching sheet with heat transfer. J Appl Mech Tech Phy 57, 672–680 (2016). https://doi.org/10.1134/S0021894416040118
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DOI: https://doi.org/10.1134/S0021894416040118