Temperature profile of a power-law fluid over a moving wall with arbitrary injection/suction and internal heat generation/absorption

Document Type : Full Length Research Article

Authors

1 university of isfahan

2 University of Isfahan

Abstract

The heat transfer for a non-Newtonian power-law fluid over a moving surface is investigated by applying a uniform suction/injection velocity profile. The flow is influenced by internal heat generation/absorption. The energy equation is solved at constant surface temperature condition. The Merk-Chao series is applied to obtain a set of ODEs instead of a complicated PDE. The converted ordinary differential equations are solved numerically, adopting the fourth order Runge–Kutta method coupled with the shooting technique. The effects of the fluid type, suction/injection and heat source/sink parameters on heat-transfer are discussed. It is observed that thermal boundary layers for pseudo plastic fluids are thicker than that of the dilatants. There exists a direct relation between dimensionless temperature and the injection parameter or the heat generation parameter rise. Injection of a fluid to the surface generates more flow penetration into the fluid, which causes an increase in the thermal boundary layer and the temperature.

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[1].                L. Deswita, A. Ishak, R. Nazar, "Power-Law Fluid Flow on a Moving Wall with Suction and Injection Effects", Australian Journal of Basic and Applied Sciences, 4 (8), (2010) pp. 2250-6.
[2].                R. Cortell, "Suction, Viscous Dissipation and Thermal Radiation Effects on the Flow and Heat Transfer of a Power-Law Fluid Past an Infinite Porous Plate", Chemical Engineering Research and Design, 89 (1), (2011) pp. 85-93.
[3].                W. Schowalter, "The Application of Boundary-Layer Theory to Power-Law Pseudoplastic Fluids: Similar Solutions", AIChE Journal, 6 (1), (1960) pp. 24-8.
[4].                E.M. Abo-Eldahab , M.A. El Aziz, "Blowing/Suction Effect on Hydromagnetic Heat Transfer by Mixed Convection from an Inclined Continuously Stretching Surface with Internal Heat Generation/Absorption", International Journal of Thermal Sciences, 43 (7), (2004) pp. 709-19.
[5].                M.A. Mahmoud, "Slip Velocity Effect on a Non-Newtonian Power-Law Fluid over a Moving Permeable Surface with Heat Generation", Mathematical and Computer Modelling, 54 (5), (2011) pp. 1228-37.
[6].               
61
M. Seddeek, "Finite-Element Method for the Effects of Chemical Reaction, Variable Viscosity, Thermophoresis and Heat Generation/Absorption on a Boundary-Layer Hydromagnetic Flow with Heat and Mass Transfer over a Heat Surface", Acta Mechanica, 177 (1-4), (2005) pp. 1-18.
[7].                M.S. Abel, P. Siddheshwar, M.M. Nandeppanavar, "Heat Transfer in a Viscoelastic Boundary Layer Flow over a Stretching Sheet with Viscous Dissipation and Non-Uniform Heat Source", International Journal of Heat and Mass Transfer, 50 (5), (2007) pp. 960-6.
[8].                R. Cortell, "Flow and Heat Transfer of a Fluid through a Porous Medium over a Stretching Surface with Internal Heat Generation/Absorption and Suction/Blowing", Fluid Dynamics Research, 37 (4), (2005) pp. 231-45.
[9].                F. Lin , S. Chern, "Laminar Boundary-Layer Flow of Non-Newtonian Fluid", International journal of heat and mass transfer, 22 (10), (1979) pp. 1323-9.
[10].             H. Kim, D. Jeng, K. DeWitt, "Momentum and Heat Transfer in Power-Law Fluid Flow over Two-Dimensional or Axisymmetrical Bodies", International journal of heat and mass transfer, 26 (2), (1983) pp. 245-59.
[11].             C. Tien-Chen Allen, D.R. Jeng, K.J. DeWitt, "Natural Convection to Power-Law Fluids from Two-Dimensional or Axisymmetric Bodies of Arbitrary Contour", International journal of heat and mass transfer, 31 (3), (1988) pp. 615-24.
[12].             A. Sahu, M. Mathur, P. Chaturani, S.S. Bharatiya, "Momentum and Heat Transfer from a Continuous Moving Surface to a Power-Law Fluid", Acta Mechanica, 142 (1-4), (2000) pp. 119-31.
[13].             J. Rao, D. Jeng, K.D. Witt, "Momentum and Heat Transfer in a Power-Law Fluid with Arbitrary Injection/Suction at a Moving Wall", International Journal of Heat and Mass Transfer, 42 (15), (1999) pp. 2837-47.
[14].             H. Shokouhmand , M. Soleimani, "The Effect of Viscous Dissipation on Temperature Profile of a Power-Law Fluid Flow over a Moving Surface with Arbitrary Injection/Suction", Energy Conversion and Management, 52 (1), (2011) pp. 171-9.
[15].             A. Falana , R.O. Fagbenle, "Forced Convection Thermal Boundary Layer Transfer for Non-Isothermal Surfaces Using the Modified Merk Series", Open Journal of Fluid Dynamics, 4 (02), (2014) pp. 241.
[16].            
62
A. Tamayol, K. Hooman, M. Bahrami, "Thermal Analysis of Flow in a Porous Medium over a Permeable Stretching Wall", Transport in Porous Media, 85 (3), (2010) pp. 661-76.
[17].             G. Layek, S. Mukhopadhyay, S.A. Samad, "Heat and Mass Transfer Analysis for Boundary Layer Stagnation-Point Flow Towards a Heated Porous Stretching Sheet with Heat Absorption/Generation and Suction/Blowing", International Communications in Heat and Mass Transfer, 34 (3), (2007) pp. 347-56.
[18].             C.-H. Chen, "Effects of Magnetic Field and Suction/Injection on Convection Heat Transfer of Non-Newtonian Power-Law Fluids Past a Power-Law Stretched Sheet with Surface Heat Flux", International journal of thermal sciences, 47 (7), (2008) pp. 954-61.
[19].             E.M. Abo-Eldahab, M.A. El-Aziz, A.M. Salem, K.K. Jaber, "Hall Current Effect on Mhd Mixed Convection Flow from an Inclined Continuously Stretching Surface with Blowing/Suction and Internal Heat Generation/Absorption", Applied Mathematical Modelling, 31 (9), (2007) pp. 1829-46.
[20].             M.A. Mahmoud , A.M. Megahed, "Non-Uniform Heat Generation Effect on Heat Transfer of a Non-Newtonian Power-Law Fluid over a Non-Linearly Stretching Sheet", Meccanica, 47 (5), (2012) pp. 1131-9.