Abstract
In this study, the performances of a novel Inverted T-shaped with Semi-Circular Ends at Base (ITSCEB) microchannel heat sink (MCHS) and a conventionally most favored rectangular MCHS with almost the same hydraulic diameter and convective area were studied with water as the working fluid to explore the effects of shape. The tests were conducted for flow rates in the range of 0.1 – 0.8 LPM. The present computational outcomes are in good concurrence with the experimental data for the single-phase conditions. Both the experimental and computational outcomes support the superiority of ITSCEB MCHS over the conventional rectangular MCHS with 4–20% enhanced heat transfer. This enhancement can be attributed to the unique ITSCEB shape. In addition, a significant decrement in the thermal resistance and conjugate effects for ITSCEB shape proves its pre-eminence over the rectangular shape. Further a novel empirical correlation to predict the Nusselt number is proposed that can be applied to uniform cross-section MCHS with different shapes. A comparison of the present findings and those reported in the literature with the proposed correlation shows deviations in the acceptable range of ± 17%.
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The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.
Abbreviations
- D h :
-
Hydraulic diameter (m)
- f :
-
Friction factor
- p :
-
Pressure (N m−2)
- Re :
-
Reynolds number
- ∆p :
-
Pressure drop (bar)
- k :
-
Thermal conductivity (W m−1 K−1)
- u m :
-
Average flow velocity (m s−1)
- c p :
-
Specific heat capacity (J kg−1 K−1)
- h :
-
Heat transfer coefficient (W m−2 K−1)
- L :
-
Length (m)
- q :
-
Heat transfer (W)
- \(\dot{Q}\) :
-
Volumetric flow rate (m3 s−1)
- \(\dot{m}\) :
-
Mass flow rate (kg s−1)
- T :
-
Temperature (K)
- \({q}^{"}\) :
-
Heat flux (W m−2)
- M :
-
Non-dimensional axial conduction number
- Nu :
-
Nusselt number
- N :
-
Number of channels
- P p :
-
Pumping power consumption (W)
- A :
-
Area (m2)
- \({R}_{th}\) :
-
Thermal resistance (K W−1)
- P :
-
Wetted perimeter (m)
- x :
-
Width direction (m)
- y :
-
Depth direction (m)
- z :
-
Flow direction (m)
- ρ:
-
Density (kg m−3)
- μ:
-
Fluid viscosity (m2 s−1)
- in :
-
Inlet
- out :
-
Outlet
- f :
-
Fluid
- eff :
-
Effective
- t :
-
Footprint
- tc :
-
Thermocouple
- w :
-
Microchannel wall
- avg :
-
Average
- s :
-
Substrate
- max :
-
Maximum
- b :
-
Bottom wall
- c :
-
Cross-section
- conv :
-
Convective
- MCHS:
-
MicroChannel Heat Sink
- ITRS:
-
International Technology Roadmap for Semiconductors
- VLSI:
-
Very Large Scale Integrated circuits
- MHE:
-
Microchannel Heat Exchanger
- ITSCEB:
-
Inverted T shaped with Semi-Circular Ends at Base
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Acknowledgements
The authors would like to thank Central Sophisticated Instrumentation Facility (CSIF), Computational laboratory, and Thermal Science Laboratory of Department of Mechanical engineering in BITS Pilani K.K. Birla Goa campus for the experimental facility.
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Tilak, A.K., Patil, R.S. & Dewan, A. Experimental and computational investigations on microchannel heat sinks with novel ITSCEB cross-section. Heat Mass Transfer 59, 1209–1227 (2023). https://doi.org/10.1007/s00231-022-03320-0
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DOI: https://doi.org/10.1007/s00231-022-03320-0