THERMAL RADIATION EFFECTS ON THE ONSET OF UNSTEADINESS OF FLUID FLOW IN VERTICAL MICROCHANNEL FILLED WITH HIGHLY ABSORBING MEDIUM

Abstract

This study presents the effect of thermal radiation on the steady flow in a vertical micro channel filled with highly absorbing medium. The governing equations (mass, momentum and energy equation with Rosseland approximation and slip boundary condition) are solved analytically. The effects of thermal radiation parameter, the temperature parameter, Reynolds number, Grashof number, velocity slip length, and temperature jump on the velocity and temperature profiles, Nusselt number, and skin friction coefficient are investigated. Results show that the skin friction and the Nusselt number are increased with increase in Grashof number, velocity slip, and pressure gradient while temperature jump and Reynolds number have an adverse effect on them. Furthermore, a criterion for the flow unsteadiness based on the temperature parameter, thermal radiation parameter, and the temperature jump is presented.

Keywords

Dates

  • Submission Date2014-04-18
  • Revision Date2014-10-29
  • Acceptance Date2014-11-08
  • Online Date2014-11-08

DOI Reference

10.2298/TSCI140418124A

References

  1. Barletta, A., Analysis of Combine Forced and Free Flow in a Vertical Channel with Viscous Dissipation and Isothermal-isoflux Boundary Conditions, ASME J. Heat Transfer, 121 (1999), pp.349-356
  2. Boulama, K., Galanis, N., Analytical Solution for Fully Developed Mixed Convection Between Parallel Vertical Plates with Heat and Mass Transfer, ASME J. Heat Transfer, 126, (2004) , pp.381-388
  3. Hanafi, A. S., et al.,Thermal and Hydrodynamic Characteristics of Forced and Mixed Convection Flow Through Vertical Rectangular Channels, Thermal Science ,12 (2008), 2, pp. 103-117
  4. Babaelahi, M., et al., Analytical Treatment of Mixed Convection Flow Past Vertical Flat Plate, Thermal Science,14 (2010), 2, pp. 409-416
  5. Zhao, C. Y., Lu, T. J., Analysis of Microchannel Heat Sinks for Electronics Cooling, Int. J. Heat Mass Transfer, 45, (2002), pp.4857-4869
  6. Barletta, A., Fully Developed Mixed Convection and Flow Reversal in a Vertical Rectangular Duct with Uniform Wall Heat Flux, Int. J. Heat Mass Transfer, 45, (2002), pp.641-654
  7. Kandlikar, S. G., High flux Heat Removal with Microchannels - a Roadmap of Challenges and Opportunities, Heat Transfer Eng, 26 (2005), pp.5-14
  8. Hossain, M. S., et al., Review on Solar Water Heater Collector and Thermal Energy Performance of Circulating Pipe, Renew. Sust. Energy Rev., 15 (2011), 8, pp. 3801-3812
  9. Languri,E. M., et al.,An Energy and Exergy Study of a Solar Thermal Air Collector, Thermal Science, 13 (2009), 1, pp. 205-216
  10. Liu, D., Garimella, S. V., Investigation of Liquid Flow in Microchannels, AIAA J. Thermophys. Heat Transfer ,18 (2004), pp. 65-72
  11. Judy, J., et al., Characterization of Frictional Pressure Drop for Liquid Flows through Microchannels, Int. J. Heat Mass Transfer, 45 (2002), pp. 3477-3489
  12. Steinke, M. E., Kandlikar, S. G., Single-Phase Liquid Friction Factors in Microchannels, Proceeding, 2th ASME Conference on Microchannels and Minichannels, Rochester, NY, 2004
  13. Kandlikar, S. G., et al., Characterization of Surface Roughness Effects on Pressure Drop in Microchannels, Phys. Fluids, 17 (2005), 100606.
  14. Abdollahzadeh Jamalabadi, M. Y., et al., Two-Dimensional Simulation of Thermal Loading with Horizontal Heat Sources, Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci., 226 (2012), pp.1302-1308
  15. Abdollahzadeh Jamalabadi, M. Y., et al., Numerical Investigation of Thermal Radiation Effects on Open Cavity with Discrete Heat Sources, Int. J. Numer Method Heat Fluid Flow, 23 (2013), 4, pp.649-661
  16. Abdollahzadeh Jamalabadi, M. Y., Experimental Investigation of Thermal Loading of a Horizontal Thin Plate Using Infrared Camera, J. King Saud Univ. - Eng. Sci., 26 (2014), 2, pp.159-167
  17. Abdollahzadeh Jamalabadi, M. Y., Park, J. H., Thermal Radiation, Joule Heating, and Viscous Dissipation Effects on MHD Forced Convection Flow with Uniform Surface Temperature, Open J. Fluid Dyn., 4 (2014), 2 , pp. 125-132
  18. Uddin, Z., et al., Influence of Thermal Radiation and Heat Generation/Absorption on MHD Heat Transfer Flow of a Micropolar Fluid Past a Wedge with Hall and Ion Slip Currents, Thermal Science, 18 (2014), 2, pp. 489-502
  19. Taylor, R. A., et al., Nanofluid Optical Property Characterization: Towards Efficient Direct Absorption Solar Collectors, Nanoscale Res. Lett., 6 (2011), 225
  20. Horvath, J. A., Webb, R. N., Experimental Study of Radiation Absorption by Microchannels of Varying Aspect Ratios, Solar Energy, 85 (2011) , pp. 1035-1040
  21. Hossain, M. S., et al., Review on Solar Water Heater Collector and Thermal Energy Performance of Circulating Pipe, Renew. Sust. Energy Rev., 15 (2011), pp. 3801-3812
  22. Crouch, J.D., et al., Predicting the Onset of Flow Unsteadiness Based on Global Instability, J. Comput. Phys., 224 (2007), pp. 924-940
  23. Ulmanella, U., Ho, C. M., Molecular Effects on Boundary Condition in Micro/Nanoliquid Flows, Phys. Fluids, 20 (2008), 101512,.
  24. Bocquet, L., Barrat, J.-L., Flow Boundary Conditions From Nano- to Micro-Scales, Soft Matter, 3 (2007), pp. 685-693
  25. Karniadakis, G., Beskok, A., Aluru., N., Microflows and Nanoflows: Fundamentals and Simulation, Springer, New York, USA, 2005
  26. Modest, M. F., Radiative Heat Transfer (2nd edition), Academic Press, New York, USA, 2003