Entropy Generation Analysis of Open Parallel Microchannels Embedded Within a Permeable Continuous Moving Surface: Application to Magnetohydrodynamics (MHD)
Abstract
:1. Introduction
2. Problem Formulation
3. Entropy Generation Analysis
4. Results and Discussion
n | k′ | Pr | Ali [48] (1994) | Ishak [49] (2009) | Hayat [18] (2010) | Yazdi [24] (2011) | Present Results |
---|---|---|---|---|---|---|---|
Finite difference method | Homotopy analysis method | The Dormand-Prince pair and shooting method | The Dormand-Prince pair and shooting method | ||||
|θ′(0)| | |θ′(0)| | ||||||
1 | 0 | 0.72 | 0.4617 | 0.4631 | 0.4631 | ||
1 | 0.5801 | 0.5818 | 0.5818 | ||||
3 | 1.1599 | 1.1647 | 1.1647 | ||||
1 | 1 | 0.72 | 0.8086 | 0.8086 | 0.8086 | 0.8086 | |
1 | 1 | 1 | 1 | 1 | |||
3 | 1.9237 | 1.9236 | 1.9238 | 1.9238 |
5. Conclusions
- Joule heating decreases the heat transfer rate, in particular at high magnetic parameters.
- The entropy generation number Ns decreases with the increase of injection, Kp and λ, while it increases with the increase of suction, BrΩ−1, k′, Re and ζ.
- The magnetic parameter can decrease the entropy generation number when the values of the heat transfer irreversibilities are much more significant compared to the fluid friction irreversibilities (at low BrΩ−1).
- Bejan number, Be, increases with the increase of k′, m′, λ and suction, while it decreases with the increase of M, BrΩ−1, ζ and injection. The effect of Re on Be is insignificant.
- There is a maximum value for Be (Kp) that leads the slip coefficient to exhibit increasing (or decreasing) effect at different values.
- In hydrophobic open parallel microchannels with a high slip coefficient Kp allow us to take advantage of an increase in the number of open parallel microchannels due to the reduction in the energy losses.
Acknowledgments
References
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Yazdi, M.H.; Abdullah, S.; Hashim, I.; Sopian, K. Entropy Generation Analysis of Open Parallel Microchannels Embedded Within a Permeable Continuous Moving Surface: Application to Magnetohydrodynamics (MHD). Entropy 2012, 14, 1-23. https://doi.org/10.3390/e14010001
Yazdi MH, Abdullah S, Hashim I, Sopian K. Entropy Generation Analysis of Open Parallel Microchannels Embedded Within a Permeable Continuous Moving Surface: Application to Magnetohydrodynamics (MHD). Entropy. 2012; 14(1):1-23. https://doi.org/10.3390/e14010001
Chicago/Turabian StyleYazdi, Mohammad H., Shahrir Abdullah, Ishak Hashim, and Kamaruzzaman Sopian. 2012. "Entropy Generation Analysis of Open Parallel Microchannels Embedded Within a Permeable Continuous Moving Surface: Application to Magnetohydrodynamics (MHD)" Entropy 14, no. 1: 1-23. https://doi.org/10.3390/e14010001