Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T09:35:35.440Z Has data issue: false hasContentIssue false
  • English
  • Français

Entropy Generation Analysis for Microscale Forced Convection in Thermal Entrance Region

Published online by Cambridge University Press:  22 March 2012

V. Vandadi ,
A. Vandadi ,
H. Niazmand  and
C. Aghanajafi
V. Vandadi*
Affiliation:
Department of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran.
A. Vandadi
Affiliation:
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
H. Niazmand
Affiliation:
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
C. Aghanajafi
Affiliation:
Department of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran.
*
*Corresponding author (v.vandadi@gmail.com)
Get access

Abstract

An analytical study on entropy generation considering viscous dissipation effect in the circular microchannel is reported. The fluid flow is steady, laminar, hydrodynamically fully developed and thermally developing. In the first law analysis, appropriate dimensionless variables are applied to solve the energy equation in the thermal entrance region of microchannel. Subsequently the obtained temperature field is used to derive an expression for entropy generation rate. The effect of Knudsen number and Brinkman number on the entropy generation rate and Bejan number in different axial location is presented.

Keywords

Entropy generationMicrochannelViscous dissipationGraetz
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 1 , March 2012 , pp. 71 - 76
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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

1. Mahmud, S., “The Second Law Analysis in Fundamental Convective Heat Transfer Problems,” International Journal of Thermal Sciences, 42, pp. 177–186 (2003).CrossRefGoogle Scholar
2. Sahin, A. Z., “Irreversibilities in Various Duct Geometries with Constant Wall Heat Flux and Laminar Flow,” Energy, 23, pp. 465–473 (1998).CrossRefGoogle Scholar
3. Ratts, E. B. and Rauts, A. G., “Entropy Generation Minimization of Fully Developed Internal Flow with Constant Heat Flux,” Journal of Heat Transfer, 126, pp. 656–659 (2004).CrossRefGoogle Scholar
4. Mahmud, S. and Fraser, R. A., “Second Law Analysis of Forced Convection in a Circular Duct for Non-Newtonian Fluids,” Energy, 31, pp. 2226–2244 (2006).CrossRefGoogle Scholar
5. Chen, K., “Second Law Analysis and Optimization of Microchannel Flows Subject to Different Boundary Conditions,” International Journal of Energy Research, 29, pp. 249–263 (2005).CrossRefGoogle Scholar
6. Avci, M. and Aydin, O., “Second-Law Analysis of Heat and Fluid Flow in Microscale Geometries,” International Journal of Exergy, 4, pp. 286–301 (2007).CrossRefGoogle Scholar
7. Haddad, O., Abuzaid, M. and Al-Nimr, M., “Entropy Generation Due to Laminar Incompressible Forced Convection Flow Through Parallel-Plates Microchannel,” Entropy, 6, pp. 413–426 (2004).CrossRefGoogle Scholar
8. Abbassi, H., “Entropy Generation Analysis in a Uniformly Heated Microchannel Heat Sink,” Energy, 32, pp. 1932–1947 (2007).CrossRefGoogle Scholar
9. Hooman, K., “Entropy Generation for Microscale Forced Convection: Effect of Different Thermal Boundary Conditions, Velocity Slip, Temperature Jump, Viscous Dissipation, and Duct Geometry,” International Communications in Heat and Mass Transfer, 34, pp. 945–957 (2007).CrossRefGoogle Scholar
10. Hung, Y. M., “Viscous Dissipation Effect on Entropy Generation for Non-Newtonian Fluid in Microchannels,” International Communications in Heat and Mass Transfer, 35, pp. 1125–1129 (2008).CrossRefGoogle Scholar
11. Yari, M., “Second-Law Analysis of Flow and Heat Transfer Inside a Microannulus,” International Communications in Heat and Mass Transfer, 36, pp. 78–87 (2009).CrossRefGoogle Scholar
12. Graetz, L., “Uber die Warmeleitungsfahighevon von Flussingkeiten,” Part 1, Annalen der Physik und Chemie, 18, pp. 79–94 (1883).Google Scholar
13. Graetz, L., “Uber die Warmeleitungsfahighevon von Flussingkeiten,” Part 2, Annalen der Physik und Chemie, 25, pp. 337–357 (1885).CrossRefGoogle Scholar
14. Ameel, T. A. R., Barron, F., Wang, X. and Warrington, R. O., “Laminar Forced Convection in a Circular Tube with Constant Heat Flux and Slip Flow,” Microscale Termophysical Engineering, 1, pp. 303–320 (1997).Google Scholar
15. Barron, R. F., Wang, X. T., Ameel, A. and Warrington, R. O., “The Graetz Problem Extended to Slip-Flow,” International Journal of Heat and Mass Transfer, 40, pp. 1817–1823 (1997).CrossRefGoogle Scholar
16. Tunc, G. and Bayazitoglu, Y., “Heat Transfer in Microtubes with Viscous Dissipation,” International Journal of Heat and Mass Transfer, 44, pp. 2395–2403 (2001).CrossRefGoogle Scholar
17. Jeong, H. E. and Jeong, J. T., “Extended Graetz Problem Including Streamwise Conduction and Viscous Dissipation in Microchannels,” International Journal of Heat and Mass Transfer, 49, pp. 2151–2157 (2006).CrossRefGoogle Scholar
18. Cetin, B., Yazicioglu, A. and Kakac, S., “Fluid Flow in Microtubes with Axial Conduction Including Rarefaction and Viscous Dissipation,” International Communications in Heat and Mass Transfer, 35, pp. 535–544 (2008).CrossRefGoogle Scholar
19. Cetin, B., Yazicioglu, A. 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. 1673–1678 (2009).CrossRefGoogle Scholar
20. Satapathy, A. K., “Slip Flow Heat Transfer in an Infinite Microtube with Axial Conduction,” International Journal of Thermal Sciences, 49, pp. 153–160 (2010).CrossRefGoogle Scholar
21. Leal, L., Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes, Cambridge University Press, pp. 162–164 (2007).CrossRefGoogle Scholar
22. Bejan, A., Entropy Generation Through Heat and Fluid Flow, Wiley, New York (1982).Google Scholar