Thermal Radiation, Joule Heating, and Viscous Dissipation Effects on MHD Forced Convection Flow with Uniform Surface Temperature
Affiliation(s)
Maritime University of Chabahar, Chabahar, Iran. Department of Aerospace and System Engineering, Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, South Korea.
Maritime University of Chabahar, Chabahar, Iran. Department of Aerospace and System Engineering, Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, South Korea.
ABSTRACT
In this paper, we studied the effects of thermal radiation, Joule heating and viscous dissipation on forced convection flow in a magnetohydrodynamics (namely MHD) pump in rectangular channel with uniform surface temperature. Numerical results were obtained by solving the nonlinear governing momentum and energy equations with steady state fully developed assumptions by finite difference method. The Lorentz force in momentum and Joule heating, and viscous dissipation in energy equation with the Rossel and approximation are assumed to increase the knowledge of the details of the temperature and flow field in order to design a MHD pump. The purpose of this study is the parametric study of a Newtonian fluid in a MHD pump. The values of maximum velocity, fully developed Nusselt number for different values of magnetic density flux, Brinkman number, viscous heating and radiation number are obtained. However, the maximum temperature stays almost constant with magnetic field, as current increases, the velocity and the temperature increase too. Besides, the increase of thermal radiation number causes the increase in effective thermal conductivity and decrease in thermal boundary layer and the Nusselt number at wall.
In this paper, we studied the effects of thermal radiation, Joule heating and viscous dissipation on forced convection flow in a magnetohydrodynamics (namely MHD) pump in rectangular channel with uniform surface temperature. Numerical results were obtained by solving the nonlinear governing momentum and energy equations with steady state fully developed assumptions by finite difference method. The Lorentz force in momentum and Joule heating, and viscous dissipation in energy equation with the Rossel and approximation are assumed to increase the knowledge of the details of the temperature and flow field in order to design a MHD pump. The purpose of this study is the parametric study of a Newtonian fluid in a MHD pump. The values of maximum velocity, fully developed Nusselt number for different values of magnetic density flux, Brinkman number, viscous heating and radiation number are obtained. However, the maximum temperature stays almost constant with magnetic field, as current increases, the velocity and the temperature increase too. Besides, the increase of thermal radiation number causes the increase in effective thermal conductivity and decrease in thermal boundary layer and the Nusselt number at wall.
KEYWORDS
Forced Convection, Thermal Radiation, Magnetohydrodynamic Pump, Internal Heating, Viscous Dissipation, Roseland Model
Forced Convection, Thermal Radiation, Magnetohydrodynamic Pump, Internal Heating, Viscous Dissipation, Roseland Model
Cite this paper
Jamalabadi, M. and Park, J. (2014) Thermal Radiation, Joule Heating, and Viscous Dissipation Effects on MHD Forced Convection Flow with Uniform Surface Temperature. Open Journal of Fluid Dynamics, 4, 125-132. doi: 10.4236/ojfd.2014.42011.
Jamalabadi, M. and Park, J. (2014) Thermal Radiation, Joule Heating, and Viscous Dissipation Effects on MHD Forced Convection Flow with Uniform Surface Temperature. Open Journal of Fluid Dynamics, 4, 125-132. doi: 10.4236/ojfd.2014.42011.
References
[1] Brinkman, H.C. (1951) Heat Effects in Capillary Flow I. Applied Scientific Research, 2, 120-124.
http://dx.doi.org/10.1007/BF00411976 [2] Lin, S.H. (1979) Heat Transfer to Plane Non-Newtonian Couette Flow. International Journal of Heat and Mass Transfer, 22, 1117-1123.
http://dx.doi.org/10.1016/0017-9310(79)90184-4 [3] Lahjomri, J., Zniber, K., Oubarra, A. and Alemany, A. (2003) Heat Transfer by Laminar Hartmanns Flow in the Thermal Entrance-Region with Uniform Wall Heat-Flux: The Graetz Problem Extended. Energy Conversion and Management, 44, 11-34.
http://dx.doi.org/10.1016/S0196-8904(02)00048-1 [4] Nield, D.A., Kuznetzov, A.V. and Xiong, M. (2003) Thermally-Developing Forced Convection in a Porous Medium: Parallel-Plate Channel with Walls at a Uniform Temperature, with Axial Conduction and Viscous Dissipation Effects. International Journal of Heat and Mass Transfer, 46, 643-651.
http://dx.doi.org/10.1016/S0017-9310(02)00327-7 [5] Davaa, G., Shigechi, T. and Momoki, S. (2004) Effect of Viscous Dissipation on Fully-Developed Heat Transfer of Non-Newtonian Fluids in Plane Laminar Poiseuille-Couette Flow. International Journal of Heat and Mass Transfer, 31, 663-672.
http://dx.doi.org/10.1016/S0735-1933(04)00053-3 [6] Hashemabadi, S.H., Etemad, S.Gh and Thibault, J. (2004) Forced-Convection Heat-Transfer of Couette-Poiseuille Flow of Non-Linear Viscoelastic Fluids between Parallel Plates. International Journal of Heat and Mass Transfer, 47, 3985-3991. [7] Abdul Hamid, R., Arifin, N.M. and Nazar, R. (2013) Effects of Radiation, Joule Heating and Viscous Dissipation on MHD Marangoni Convection over a Flat Surface with Suction and Injection. World Applied Sciences Journal, 21, 933-938. [8] Chamkha, A.J., Mujtaba, M., Quadri, A. and Issa, C. (2003) Thermal Radiation Effects on MHD Forced Convection Flow Adjacent to a Non-Isothermal Wedge in the Presence of a Heat Source or Sink. Heat and Mass Transfer, 39, 305-312. [9] Siegel, R. and Howell, J.R. (1992) Thermal Radiation Heat Transfer. Hemisphere Publishing Corporation, Washington DC. [10] Morega, Al.M. and Bejan, A. (1993) Heatline Visualisation of Forced Convection Laminar Boundary Layers. International Journal of Heat and Mass Transfer, 36, 3957-3966.
http://dx.doi.org/10.1016/0017-9310(93)90146-W [11] Wang, P.J., Chang, C.Y. and Chang, M.-L. (2004) Simulation of Two-Dimensional Fully Developed Laminar Flow for a Magneto-Hydrodynamic (MHD) Pump. Biosensors and Bioelectronics, 20, 115-121.
http://dx.doi.org/10.1016/j.bios.2003.10.018
[1] Brinkman, H.C. (1951) Heat Effects in Capillary Flow I. Applied Scientific Research, 2, 120-124.
http://dx.doi.org/10.1007/BF00411976 [2] Lin, S.H. (1979) Heat Transfer to Plane Non-Newtonian Couette Flow. International Journal of Heat and Mass Transfer, 22, 1117-1123.
http://dx.doi.org/10.1016/0017-9310(79)90184-4 [3] Lahjomri, J., Zniber, K., Oubarra, A. and Alemany, A. (2003) Heat Transfer by Laminar Hartmanns Flow in the Thermal Entrance-Region with Uniform Wall Heat-Flux: The Graetz Problem Extended. Energy Conversion and Management, 44, 11-34.
http://dx.doi.org/10.1016/S0196-8904(02)00048-1 [4] Nield, D.A., Kuznetzov, A.V. and Xiong, M. (2003) Thermally-Developing Forced Convection in a Porous Medium: Parallel-Plate Channel with Walls at a Uniform Temperature, with Axial Conduction and Viscous Dissipation Effects. International Journal of Heat and Mass Transfer, 46, 643-651.
http://dx.doi.org/10.1016/S0017-9310(02)00327-7 [5] Davaa, G., Shigechi, T. and Momoki, S. (2004) Effect of Viscous Dissipation on Fully-Developed Heat Transfer of Non-Newtonian Fluids in Plane Laminar Poiseuille-Couette Flow. International Journal of Heat and Mass Transfer, 31, 663-672.
http://dx.doi.org/10.1016/S0735-1933(04)00053-3 [6] Hashemabadi, S.H., Etemad, S.Gh and Thibault, J. (2004) Forced-Convection Heat-Transfer of Couette-Poiseuille Flow of Non-Linear Viscoelastic Fluids between Parallel Plates. International Journal of Heat and Mass Transfer, 47, 3985-3991. [7] Abdul Hamid, R., Arifin, N.M. and Nazar, R. (2013) Effects of Radiation, Joule Heating and Viscous Dissipation on MHD Marangoni Convection over a Flat Surface with Suction and Injection. World Applied Sciences Journal, 21, 933-938. [8] Chamkha, A.J., Mujtaba, M., Quadri, A. and Issa, C. (2003) Thermal Radiation Effects on MHD Forced Convection Flow Adjacent to a Non-Isothermal Wedge in the Presence of a Heat Source or Sink. Heat and Mass Transfer, 39, 305-312. [9] Siegel, R. and Howell, J.R. (1992) Thermal Radiation Heat Transfer. Hemisphere Publishing Corporation, Washington DC. [10] Morega, Al.M. and Bejan, A. (1993) Heatline Visualisation of Forced Convection Laminar Boundary Layers. International Journal of Heat and Mass Transfer, 36, 3957-3966.
http://dx.doi.org/10.1016/0017-9310(93)90146-W [11] Wang, P.J., Chang, C.Y. and Chang, M.-L. (2004) Simulation of Two-Dimensional Fully Developed Laminar Flow for a Magneto-Hydrodynamic (MHD) Pump. Biosensors and Bioelectronics, 20, 115-121.
http://dx.doi.org/10.1016/j.bios.2003.10.018