Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-11T00:03:37.817Z Has data issue: false hasContentIssue false

Pressure Work and Viscous Dissipation Effects on Heat Transfer in a Parallel–Plate Microchannel Gas Flow

Published online by Cambridge University Press:  27 November 2017

K. M. Ramadan*
Affiliation:
Mechanical Engineering Department University of Sharjah Sharjah, United Arab Emirates
*
*Corresponding author (kramadan@sharjah.ac.ae)
Get access

Abstract

Convective heat transfer in a parallel plate microchannel gas flow is investigated analytically and numerically, considering the effects of viscous dissipation, pressure work, shear work, axial conduction and rarefaction. Analysis is performed with constant wall temperature and constant wall heat flux boundary conditions for both gas cooling and heating. The results presented demonstrate the significance of the combined effect of pressure work and viscous dissipation, shear work, rarefaction degree and axial conduction on microchannel convective heat transfer, in both the thermally developing and fully developed flow regions. Viscous dissipation and pressure work in a pressure-driven microchannel gas flow are of comparable magnitudes and may not be neglected from the energy equation. The shear work at the wall, which is effectively the combined effect of viscous dissipation and pressure work, needs to be included in the Nusselt number for better predictions of heat transfer.

Type
Research Article
Copyright
© The Society of Theoretical and Applied Mechanics 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Ou, J-W. and Cheng, K. C., “Effects of Pressure Work and Viscous Dissipation on Graetz Problem for Gas Flows in Parallel-Plate Channels,” Heat and Mass Transfer, 6, pp. 191198 (1973).Google Scholar
Sun, Z. and Jaluria, Y., “Numerical Modeling of Pressure-Driven Nitrogen Slip Flow in Long Rectangular Microchannels,” Numerical Heat Transfer, Part A: Applications, 56, pp. 541562 (2009).Google Scholar
Sun, Z. and Jaluria, Y., “Unsteady Two-Dimensional Nitrogen Flow in Long Microchannels with Uniform Wall Heat Flux,” Numerical Heat Transfer, Part A: Applications, 57, pp. 625641 (2010).Google Scholar
Sun, Z. and Jaluria, Y., “Convective-Heat-Transfer-in-Pressure-Driven-Nitrogen-Slip-Flows-in-Long-Microchannels: The Effects of Pressure Work and Viscous Dissipation,” International Journal of Heat and Mass Transfer, 55, pp. 34883497 (2012).Google Scholar
Haddout, Y. and Lahjomri, J., “The Extended Graetz Problem for a Gaseous Slip Flow in Micropipe and Parallel-Plate Microchannel with Heating Section of Finite Length: Effects of Axial Conduction, Viscous Dissipation and Pressure Work,” International Journal of Heat and Mass Transfer, 80, pp. 673687 (2015).Google Scholar
Ramadan, K. and Tlili, I., “A Numerical Study of the Extended Graetz Problem in a Microchannel with Constant Wall Heat Flux: Shear Work Effects on Heat Transfer,” Journal of Mechanics, 31, pp. 733743 (2015).Google Scholar
Ramadan, K. and Tlili, I., “Shear Work, Viscous Dissipation and Axial Conduction Effects on Microchannel Heat Transfer with a Constant Wall Temperature,” Proceedings of the Institute of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 230, pp. 24962507 (2016).Google Scholar
Maslen, H. S., “On Heat Transfer in Slip Flow,” Journal of the Aeronautical Sciences, 25, pp. 400401 (1958).Google Scholar
Sparrow, E. M. and Lin, S. H., “Laminar Heat Transfer in Tubes under Slip-Flow Conditions,” Journal of Heat Transfer, 84, pp. 363369 (1962).Google Scholar
Inman, R. M., “Laminar Slip Flow Heat Transfer in a Parallel Plate Channel or Round Tube with Uniform Wall Heating,” Technical Note D-2393, National Aeronautics and Space Administration, Washington, D. C. (1964).Google Scholar
Hadjiconstantinou, N. G., “Dissipation in Small Scale Gaseous Flows,” Journal of Heat Transfer, 125, pp. 944947 (2003).Google Scholar
Hong, C. and Asako, Y., “Some Considerations on Thermal Boundary Condition of Slip Flow,” International Journal of Heat and Mass Transfer, 53, pp. 30753079 (2010).Google Scholar
Colin, S., “Gas Microflows in the Slip Flow Regime: A Critical Review on Convective Heat Transfer,” Journal of Heat Transfer, 134, 020908 (2012).Google Scholar
Shi, W., Miyamoto, M., Katoh, Y. and Kurima, J., “Choked Flow of Low Density Gas in a Narrow Parallel-Plate Channel with Adiabatic Walls,” International Journal of Heat and Mass Transfer, 44, pp. 25552565 (2001).Google Scholar
Miyamoto, M., Shi, W., Katoh, Y. and Kurima, J., “Choked Flow and Heat Transfer of Low Density Gas in a Narrow Parallel-Plate Channel with Uniformly Heating Walls,” International Journal of Heat and Mass Transfer, 46, pp. 26852693 (2003).Google Scholar
Knupp, D. C., Cotta, R. M., Naveira-Cotta, C. P. and Kakac, S., “Transient Conjugated Heat Transfer in Microchannels: Integral Transforms with Single Domain Formulation,” International Journal of Thermal Sciences, 88, pp. 248257 (2015).Google Scholar
Myong, R. S., Lockerby, D. A. and Reese, J. M., “The Effect of Gaseous Slip on Microscale Heat Transfer: An Extended Graetz Problem,” International Journal of Heat and Mass Transfer, 49, pp. 25022513 (2006).Google Scholar
Chen, C.-H., “Slip-Flow Heat Transfer in a Microchannel with Viscous Dissipation,” Heat and Mass Transfer, 42, pp. 853860 (2006).Google Scholar
Tunc, G. and Bayazitoglu, Y., “Heat Transfer in Rectangular Microchannels,” International Journal of Heat and Mass Transfer, 45, pp. 23952403 (2002).Google Scholar
Tunc, G. and Bayazitoglu, Y., “Heat Transfer in Microtubes with Viscous Dissipation,” International Journal of Heat and Mass Transfer, 44, pp. 23952403 (2001).Google Scholar
Kabar, Y., Bessaih, R. and Rebay, M., “Conjugate Heat Transfer with Rarefaction in Parallel Plates Microchannel,” Superlattices and Microstructures, 60, pp. 370388 (2013).Google Scholar
Loussif, N. and Orfi, J., “Simultaneously Developing Laminar Flow in an Isothermal Micro-Tube with Slip Flow Models,” Heat and Mass Transfer, 50, pp. 573582 (2013).Google Scholar
Niazman, H. and Rahimi, B., “Mixed Convective Slip Flows in a Vertical Parallel Plate Microchannel with Symmetric and Asymmetric Wall Heat Fluxes,” Transactions of the Canadian Society for Mechanical Engineering, 36, pp. 207218 (2012).Google Scholar
Zade, A. Q., Renksizbulut, M. and Friedman, J., “Heat Transfer Characteristics of Developing Gaseous Slip-Flow in Rectangular Microchannels with Variable Physical Properties,” International Journal of Heat and Fluid Flow, 32, pp. 117127 (2011).Google Scholar
Rij, J. V., Ameel, T. and Harmann, T., “The Effect of Viscous Dissipation and Rarefaction on Rectangular Microchannel Convective Heat Transfer,” International Journal of Thermal Sciences, 48, pp. 271281 (2009).Google Scholar
Sun, W., Kakac, S. and Yazicioglu, A. G., “A Numerical Study of Single-Phase Convective Heat Transfer in Microtubes for Slip Flow,” International Journal of Thermal Sciences, 46, pp. 10841094 (2007).Google Scholar
Rij, J. V., Harmann, T. and Ameel, T., “The Effect of Creep Flow on Two-Dimensional Isoflux Microchannels,” International Journal of Thermal Sciences, 46, pp. 10951103 (2007).Google Scholar
Renksizbulut, M., Niazman, H. and Tercan, G., “Slip-Flow and Heat Transfer in Rectangular Microchannels with Constant Wall Temperature,” International Journal of Thermal Sciences, 45, pp. 870881 (2006).Google Scholar
Esmaeilnejad, A., Aminfar, H. and Neistanak, M. S., “Numerical Investigation of Forced Convection Heat Transfer through Microchannels with Non-Newtonian Nanofluids,” International Journal of Thermal Sciences, 75, pp. 7686 (2014).Google Scholar
Aziz, A. and Niedbalski, N., “Thermally Developing Microtube Gas Flow with Axial Conduction and Viscous Dissipation,” International Journal of Thermal Sciences, 50, pp. 332340 (2011).Google Scholar
Cetin, B., Yazicioglu, A. G. and Kakac, S., “Fluid Flow in Microtubes with Axial Conduction Including Rarefaction and Viscous Dissipation,” International Communications in Heat and Mass Transfer, 35, pp. 535544 (2008).Google Scholar
Aydin, O. and Avi, M., “Analysis of Micro-Graetz Problem in a Microtube,” Nanoscale and Microscale Thermophysical Engineering, 10, pp. 345358 (2006).Google Scholar
Liu, H-L., Shao, X-D. and Jia, J-Y., “Effects of Axial Heat Conduction and Viscous Dissipation on Heat Transfer in Circular Micro-Channels,” International Journal of Thermal Sciences, 66, pp. 3441 (2013).Google Scholar
Satapathy, A. K., “Slip Flow Heat Transfer in an Infinite Microtube with Axial Conduction,” International Journal of Thermal Sciences, 49, pp. 153160 (2010).Google Scholar
Xiao, N., Elsnab, J. and Ameel, T., “Microtube Gas Flows with Second-Order Slip Flow and Temperature Jump Boundary Conditions,” International Journal of Thermal Sciences, 48, pp. 243251 (2009).Google Scholar
Cetin, B., Yazicioglu, A. G. and Kakac, S., “Slip-Flow Heat Transfer in Microtubes with Axial Conduction and Viscous Dissipation - An Extended Graetz Problem,” International Journal of Thermal Sciences, 48, pp. 16731678 (2009).Google Scholar
Jeong, H.-E. and Jeong, J.-T., “Extended Graetz Problem Including Streamwise Conduction and Viscous Dissipation in Microchannel,” International Journal of Heat and Mass Transfer, 49, pp. 21512157 (2006).Google Scholar