Hostname: page-component-848d4c4894-tn8tq Total loading time: 0 Render date: 2024-06-21T05:25:07.406Z Has data issue: false hasContentIssue false

Entropy Generation Case Studies of Two-Immiscible Fluids Under the Influence of a Uniform Magnetic Field in an Inclind Channel

Published online by Cambridge University Press:  24 May 2016

A. H. Nezhad
Affiliation:
Department of Mechanical EngineeringUniversity of Sistan and BaluchestanZahedan, Iran
M. F. Shahri*
Affiliation:
Department of Mechanical EngineeringUniversity of Sistan and BaluchestanZahedan, Iran
*
*Corresponding author (m.farahi@pgs.usb.ac.ir)
Get access

Abstract

This paper deals with entropy generation of two immiscible fluids inside an inclined channel under the influence of a uniform magnetic field. The channel consists of two regions such that a viscous fluid occupies the region I and an electrically conducting fluid occupies the region II. The governing equations of momentum and energy for two regions are solved by Mathematica package BVPh 2.0 which is based on homotopy analysis method. The analytical results are validated against other numerical simulations and experimental data and excellent agreements are achieved. The entropy generation components due to heat transfer and fluid friction for two immiscible fluids are formulated and then the total entropy generation is computed. The influence of various parameters including Grashof number, Hartmann number and inclination angle on the total entropy generation and its components is examined and discussed. Results show that total entropy generation has a direct relationship with Grashof number and inclination angle, while it has a reverse relationship with Hartmann number. It can also be found that although the enlargement of Hartmann number increases the contribution of entropy generation due to Ohmic dissipation, it still reduces the total entropy generation inside the channel.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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

1. Hormozi, S., Wielage-Burchard, K. and Frigaard, I. A., “Multi-Layer Channel Flows with Yield Stress Fluids,” Journal of Non-Newtonian Fluid Mechanics, 166, pp. 262278 (2011).Google Scholar
2. Haiwang, L., Wong, T. N. and Nguyen, N. T., “Analytical Model of Mixed Electroosmotic/Pressure Driven Three Immiscible Fluids in a Rectangular Microchannel,” International Journal of Heat and Mass Transfer, 52, pp. 44594469 (2009).CrossRefGoogle Scholar
3. Li, H. Y., Yap, Y. F., Lou, J. and Shang, Z., “Numerical Investigation of Heat Transfer in Three-Fluid Stratified Flows,” International Journal of Heat and Mass Transfer, 89, pp. 576587 (2015).Google Scholar
4. Nikodijevic, D. D., Stamenkovic, Z. M., Jovanovic, M. M., Kocic, M. M. and Nikodijevic, J. D., “Flow and Heat Transfer of Three Immiscible Fluids in the Presence of Uniform Magnetic Field,” Thermal Science, 18, pp. 10191028 (2014).Google Scholar
5. Khaled, A. R. A. and Vafai, K., “Heat Transfer Enhancement by Layering of Two Immiscible Co-Flows,” International Journal of Heat and Mass Transfer, 68, pp. 299309 (2014).Google Scholar
6. Khaled, A. R. A., “Heat Transfer Enhancement in a Vertical Tube Confining Two Immiscible Falling Co-Flows,” International Journal of Thermal Sciences, 85, pp. 138150 (2014).Google Scholar
7. Nikodijevic, D., Milenkovic, D. and Stamenkovic, Z., “MHD Couette Two-Fluid Flow and Heat Transfer in Presence of Uniform Inclined Magnetic Field,” Heat and Mass Transfer, 47, pp. 15251535 (2011).Google Scholar
8. Kumar, N. and Gupta, S., “MHD Free-Convective Flow of Micropolar and Newtonian Fluids Through Porous Medium in a Vertical Channel,” Meccanica, 47, pp. 277291 (2012).Google Scholar
9. Umavathi, J. C., Liu, I. C. and Kumar, J. P., “Magnetohydrodynamic Poiseuille-Couette Flow and Heat Transfer in an Inclined Channel,” Journal of Mechanics, 26, pp. 525532 (2010).Google Scholar
10. Huang, Y., Li, H. and Wong, T. N., “Two Immiscible Layers of Electro-Osmotic Driven Flow with a Layer of Conducting Non-Newtonian Fluid,” International Journal of Heat and Mass Transfer, 74, pp. 368375 (2014).Google Scholar
11. Yazdi, M., Abdullah, S., Hashim, I. and Sopian, K., “Reducing Entropy Generation in MHD Fluid Flow over Open Parallel Microchannels Embedded in a Micropatterned Permeable Surface,” Entropy, 15, pp. 48224843 (2013).Google Scholar
12. Liu, C. C. and Lo, C. Y., “Numerical Analysis of Entropy Generation in Mixed-Convection MHD Flow in Vertical Channel,” International Communications in Heat and Mass Transfer, 39, pp. 13541359 (2012).Google Scholar
13. Butt, A. and Ali, A., “Entropy Analysis of Flow and Heat Transfer Caused by a Moving Plate with Thermal Radiation,” Journal of Mechanical Science and Technology, 28, pp. 343348 (2014).CrossRefGoogle Scholar
14. Ibáñez, G., “Entropy Generation in MHD Porous Channel with Hydrodynamic Slip and Convective Boundary Conditions,” International Journal of Heat and Mass Transfer, 80, pp. 274280 (2015).CrossRefGoogle Scholar
15. Butt, A.S., Ali, A. and Munawar, S., “Slip Effects on Entropy Generation in MHD Flow over a Stretching Surface in the Presence of Thermal Radiation,” International Journal of Exergy, 13, pp. 120 (2013).Google Scholar
16. Vyas, P. and Srivastava, N., “Entropy Analysis of Generalized MHD Couette Flow Inside a Composite Duct with Asymmetric Convective Cooling,” Arabian Journal for Science and Engineering, 40, pp. 603614 (2015).CrossRefGoogle Scholar
17. Kamışlı, F. and Öztop, H., “Second Law Analysis of the 2D Laminar Flow of Two-Immiscible, Incompressible Viscous Fluids in a Channel,” Heat and Mass Transfer, 44, pp. 751761 (2008).Google Scholar
18. Ramana Murthy, J.V. and Srinivas, J., “First and Second Law Analysis for the MHD Flow of Two Immiscible Couple Stress Fluids Between Two Parallel Plates,” Heat Transfer-Asian Research, 44, pp. 468487 (2015).Google Scholar
19. Ramana Murthy, J.V. and Srinivas, J., “Second Law Analysis for Poiseuille Flow of Immiscible Micropolar Fluids in a Channel,” International Journal of Heat and Mass Transfer, 65, pp. 254264 (2013).Google Scholar
20. Lohrasbi, J. and Sahai, V., “Magnetohydrodynamic Heat Transfer in Two Phase Flow Between Parallel Plates,” Applied Science Research, 45, pp. 5366 (1988).CrossRefGoogle Scholar
21. Farooq, U., Hayat, T., Alsaedi, A. and Liao, S., “Heat and Mass Transfer of Two-Layer Flows of Third-Grade Nano-Fluids in a Vertical Channel,” Applied Mathematics and Computation, 242, pp. 528540 (2014).CrossRefGoogle Scholar
22. Farooq, U., Zhao, Y.L., Hayat, T., Alsaedi, A. and Liao, S.J., “Application of the HAM-Based Mathematica Package BVPh 2.0 on MHD Falkner–Skan Flow of Nano-Fluid,” Computers & Fluids, 111, pp. 6975 (2015).CrossRefGoogle Scholar
23. Wang, C., et al., “Interface Control of Pressure-Driven Two-Fluid Flow in Microchannels using Electroosmosis,” Journal of Micromechanics and Microengineering, 15, pp. 22892297 (2005).Google Scholar