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Research Papers

Numerical Heat Transfer and Entropy Analysis on Liquid Slip Flows Through Parallel-Plate Microchannels

[+] Author and Article Information
Mostafa Shojaeian

Mechatronics Engineering Program,
Faculty of Engineering and Natural Sciences,
Sabanci University,
Tuzla, Istanbul 34956, Turkey
e-mail: shojaeian@sabanciuniv.edu

Masoumeh Nedaei

Mechatronics Engineering Program,
Faculty of Engineering and Natural Sciences,
Sabanci University,
Tuzla, Istanbul 34956, Turkey
e-mail: mnedaei@sabanciuniv.edu

Mehmet Yildiz

Material Science and Engineering Program,
Faculty of Engineering and Natural Sciences,
Sabanci University,
Tuzla, Istanbul 34956, Turkey
e-mail: meyildiz@sabanciuniv.edu

Ali Koşar

Mechatronics Engineering Program,
Faculty of Engineering and Natural Sciences,
Center of Excellence for Functional Surfaces
and Interfaces,
Sabanci University,
Tuzla, Istanbul 34956, Turkey
e-mail: kosara@sabanciuniv.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received August 30, 2016; final manuscript received June 18, 2017; published online August 29, 2017. Assoc. Editor: Gamal Refaie-Ahmed.

J. Thermal Sci. Eng. Appl 10(2), 021003 (Aug 29, 2017) (10 pages) Paper No: TSEA-16-1249; doi: 10.1115/1.4037199 History: Received August 30, 2016; Revised June 18, 2017

In this study, two-dimensional (2D) numerical simulations of liquid slip flows in parallel-plate microchannels have been performed to obtain heat transfer characteristics and entropy generation rate under asymmetric heating conditions. Heat transfer analysis has been conducted along with second-law analysis through utilizing temperature-dependent thermophysical properties. The results indicate that temperature-dependent thermophysical properties have a positive effect on convective heat transfer and entropy generation. Nusselt numbers of the upper and lower plates and global entropy generation rates are significantly affected by slip parameter and heat flux ratio. It is shown that Nusselt number of the lower plate may have very large but finite values at a specific heat flux ratio. This finding resembles to analytical solutions, where singularities leading to an infinite Nusselt number exist.

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References

Figures

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Fig. 1

The schematic of the channel

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Fig. 2

The comparison of analytical and computational normalized velocities for different slip coefficients at η = 1

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Fig. 3

The deviation in the velocity profile obtained using the variable property model temperature-dependent properties from the one with the constant property model. Here, the velocity profile across the channel is provided for different slip coefficients and compared with the corresponding analytical results [50] for η = 1.

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Fig. 4

The deviation in the velocity profile computed using temperature-dependent properties from the one with constant properties across the channel for different heat fluxes ratios at β = 0.1

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Fig. 5

The change in the fully developed Nusselt number based on the variable property model as a function of streamwise position for η = 1 and different slip coefficients. Here, Nusselt number is calculated using both inlet and average property values.

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Fig. 6

The variation of Nusselt number of upper plate based on the constant property model with η for different slip coefficients

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Fig. 7

The change in Nusselt number of lower plate based on the constant property model as a function of η for different slip coefficients

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Fig. 8

(a) The difference in Nusselt numbers of upper plate based on variable and constant property (cp) models as a function η for different slip coefficients. Here, the Nusselt number is calculated using the inlet property. (b) The difference in Nusselt numbers of upper plate based on variable and constant property models as a function of η for different slip coefficients. Here, the Nusselt number is calculated using the average property.

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Fig. 9

(a) The difference in Nusselt numbers of lower plate based on variable and constant property models as a function of η for different slip coefficients. Here, the Nusselt number is calculated using the inlet property. (b) The difference in Nusselt numbers of lower plate based on variable and constant property models as a function of η for different slip coefficients. Here, the Nusselt number is calculated using the average property.

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Fig. 10

The distribution of entropy generation rate based on constant property model across the channel for η = 1 and different slip conditions

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Fig. 11

The deviation between the entropy generation rate based on variable and constant property models across the channel for η = 1 and different values of β

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Fig. 12

The distribution of the entropy generation rate across the channel in the case of constant property model for β = 0.1 and different heat fluxes ratios

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Fig. 13

The deviation of the distribution of entropy generation rate based on the variable property model from the one associated with the constant property model across the channel for different heat fluxes ratios and β = 0.1

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