Journals / Journal of Thermal Engineering / 2021 / Cilt: 7 - Sayı: 3

PHYSICAL EFFECTS OF VARIABLE FLUID PROPERTIES ON GASEOUS SLIP-FLOW THROUGH A MICRO-CHANNEL HEAT SINK

Pages
635–649
Publication Date
2021-03-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

However, the incorporation of Cp(T) variation significantly affects the Δpg and slip velocity.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Physical effects induced in micro-convective gaseous slip-flow due to variation in fluid properties are numerically examined in this paper.
📊
Key Findings & Data:It is observed that the Nusselt number (Nu) for slip-flow is significantly higher than the no-slip-flow condition and Nu is significantly affected due to variable fluid properties (VFP).
💡
Conclusion & Impact:However, the incorporation of Cp(T) variation significantly affects the Δpg and slip velocity.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Micro-Convection · Variable Fluid Properties · Nusselt Number

Abstract

Physical effects induced in micro-convective gaseous slip-flow due to variation in fluid properties are numerically examined in this paper. The problem is particularly simulated for slip-flow through a micro-channel heat sink (MCHS) having constant heat flux supplied from the wall under hydrodynamically and thermally fully developed flow (FDF) conditions. It is observed that the Nusselt number (Nu) for slip-flow is significantly higher than the no-slip-flow condition and Nu is significantly affected due to variable fluid properties (VFP). Four different cases of VFP are studied in order to investigate their effects individually. Pressure and temperature dependent density (ρ(p, T)) variation flattens the axial velocity profile in radial direction (u(r)) profile which promotes faster-moving particles close to the wall which considerably enhances Nu. The incorporation of temperature-dependent viscosity (μ(T)) variation marginally enhances Nu along the flow. Incorporation of temperature-dependent thermal conductivity (k(T)) variation highly augments Nu due to higher ρ and higher k fluid near to the wall and the incorporation of temperature-dependent specific heat at constant pressure (Cp(T)) variation reduces Nu due to lower k fluid near to the wall. The investigation also shows that the pressure drop significantly deviates from no-slip to slip condition. Furthermore, the effects of VFP on the gauge static pressure drop (Δpg) and slip velocity are also examined. The incorporation of μ(T) and k(T) variations trivially affects the Δpg and slip velocity. However, the incorporation of Cp(T) variation significantly affects the Δpg and slip velocity.

🔖

Cite This Article

KUMAR, R. (2021). PHYSICAL EFFECTS OF VARIABLE FLUID PROPERTIES ON GASEOUS SLIP-FLOW THROUGH A MICRO-CHANNEL HEAT SINK. Journal of Thermal Engineering, Cilt: 7 - Sayı: 3, 635–649. https://ajindex.com/articles/681997

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. Mahulikar SP, Herwig H, Hausner O. Study of gas microconvection for synthesis of rarefaction and nonrarefaction effects. J Microelectromech S 2007;16:1543-56. doi:10.1109/JMEMS.2007.908434
  2. Gad-el-Hak M. The fluid mechanics of microdevices—the Freeman scholar lecture. J Fluids Eng 1999;121:5-33. doi:10.1115/1.2822013
  3. Kandlikar S, Garimella S, Li D, Colin S, King MR. Heat Transfer and Fluid Flow in Minichannels and Microchannels. Elsevier; 2005
  4. Karniadakis G, Beskok A, Aluru N. Microflows and Nanoflows: Fundamentals and Simulation. Springer Science & Business Media; 2006
  5. Megregany M, Nagarkar P, Senturia SD, Lang JH. Operation of microfabricated harmonic and ordinary side-drive motors. In IEEE Proceedings on Micro Electro Mechanical Systems, An Investigation of Micro Structures, Sensors, Actuators, Machines and Robots. 1990. pp. 1-8
  6. Gulhane NP, Mahulikar SP. Numerical study of compressible convective heat transfer with variations in all fluid properties. Int J Therm Sci 2010;49:786-96. doi:10.1016/j.ijthermalsci.2009.11.001
  7. Ebert WA, Sparrow EM. Slip flow in rectangular and annular ducts. J Basic Eng 1965;87: 1018-1024. doi:10.1115/1.3650793
  8. Choi HI, Lee D, Maeng JS. Computation of slip flow in microchannels using Langmuir slip condition. Numer Heat Transf Part A Appl 2003;44:59-71. doi:10.1080/713838170
  9. Dongari N, Agrawal A, Agrawal A. Analytical solution of gaseous slip flow in long microchannels. Int J Heat Mass Transf 2007;50:3411-21. doi:10.1016/j.ijheatmasstransfer.2007.01.048
  10. Yu S, Ameel TA. Slip-flow heat transfer in rectangular microchannels. Int J Heat Mass Transf 2001;44:4225-34. doi:10.1016/S0017-9310(01)00075-8
  11. Ameel TA, Wang X, Barron RF, Warrington RO. Laminar forced convection in a circular tube with constant heat flux and slip flow. Microscale Thermophysical Engineering 1997;1:303-20. doi:10.1080/108939597200160
  12. Sun W, Kakac S, Yazicioglu AG. A numerical study of single-phase convective heat transfer in microtubes for slip flow. Int J Therm Sci 2007;46:1084-94. doi:10.1016/j.ijthermalsci.2007.01.020
  13. Arkilic EB, Schmidt MA, Breuer KS. Gaseous slip flow in long microchannels. J Microelectromech S 1997;6:167-78. doi:10.1109/84.585795
  14. Hadjiconstantinou NG, Simek O. Constant-wall-temperature Nusselt number in micro and nano-channels. J Heat Transfer 2002;124:356-64. doi:10.1115/1.1447931
  15. Renksizbulut M, Niazmand H, Tercan G. Slip-flow and heat transfer in rectangular