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Analysis of thermohydraulic performance in periodic groove–rib microchannels based on field synergy principle

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Abstract

A microchannel with a groove and rib composite structure is designed to satisfy the heat dissipation needs of microelectronic devices. Rectangular microchannels with four different structures, namely, rectangular groove–rib, triangular groove–rib, scalloped groove–rib, and trapezoidal groove–rib, are studied, with a smooth channel as comparison. The thermohydraulic performance of the microchannels with four different structures are studied, and how the temperature and velocity fields of fluid interact synergistically is explored. Moreover, the influences of rib height and groove depth on the microchannel are investigated. The results indicated that the trapezoidal structures had larger Nusselt number and frictional resistance, the synergistic relationship was better and the average synergistic angle was 1°–2° lower compared to that of smooth microchannel. The comprehensive assessment revealed that the trapezoidal groove–rib structure exhibited the highest performance evaluation criterion (PEC). Furthermore, a detailed analysis was carried out to investigate this specific structure further. Various rib heights and groove depths were studied, and the findings demonstrate that the maximum PEC of 1.51 was achieved at a rib height of 0.03 mm and groove depth of 0.05 mm.

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Availability of data and materials

All data generated or analyzed during this study are included in this published article.

Abbreviations

A w :

Heating surface (m2)

c pf :

Specific heat capacity (J kg−1 K−1)

f 0 :

Friction factor of smooth channel

H :

Height of computational domain (mm)

h :

Heat transfer coefficient (W m−2 K−1)

L :

Length of the computational domain (mm)

L 2 :

Length of the groove (mm)

L 4 :

Length of neighboring groove

Nu0 :

Nusselt number of smooth channel

p :

Pressure (Pa)

p ou t :

Outlet pressure (Pa)

\(\Delta p\) :

Pressure drop (Pa)

Re:

Reynolds number

T f :

Temperature of the fluid (K)

T in :

Inlet temperature of fluid (K)

W :

Width of computational domain (mm)

W 1 :

Depth of groove (mm)

α :

Velocity synergy angles (°)

ρ :

Density (kg m−3)

μ :

Dynamic viscosity (kg m−1 s−1)

ave:

Average

in:

Inlet

s:

Solid

A con :

Fluid–solid contact area (m2)

D h :

Hydraulic diameter (m)

f :

Friction factor

H c :

Height of the microchannel (mm)

k s :

Thermal conductivity of solid (W m−1 K−1)

L 1 :

Length of the groove (mm)

L 3 :

Length of trapezoidal groove short edge (mm)

L 5 :

Length of trapezoidal rib short edge (mm)

Nu:

Nusselt number

p in :

Inlet pressure (Pa)

PEC:

Performance evaluation criterion

q :

Heat flux (W m−2)

T s :

Solid temperature (K)

T w :

Temperature of the channel wall (K)

u i n :

Inlet velocity of fluid (m s−1)

W c :

Width of microchannel (mm)

W 2 :

Rib of height (mm)

β :

Temperature synergy angles (°)

λ :

Thermal conductivity of fluid (W m−1 K−2)

Ω :

A dimensionless function that measures the strength and shape of an eddy

f:

Fluid

out:

Outlet

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Funding

The author(s) disclosed receipt of the following financial support for the research, authorship and/or publication of this article: This work was funded by the National Natural Science Foundation of China (No. 51406112); Natural Science Foundation of Shanghai (No. 20ZR1423300).

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  1. Merchant Marine College, Shanghai Maritime University, Shanghai, 200135, China

    Hongmin Liu & Weizhen Duan

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Contributions

All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by [HL] and [WD]. The first draft of the manuscript was written by [WD] and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Hongmin Liu.

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Liu, H., Duan, W. Analysis of thermohydraulic performance in periodic groove–rib microchannels based on field synergy principle. J Therm Anal Calorim 149, 609–623 (2024). https://doi.org/10.1007/s10973-023-12663-7

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  • DOI: https://doi.org/10.1007/s10973-023-12663-7

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