|
Ab
|
total area of the heat sink base (m2) |
|
Abg
|
area of background base (excluding hotspot area) (m2) |
|
Ahs
|
area of single hotspot (m2) |
|
Ac
|
microchannel cross-sectional area (m2) |
| BL |
bottom layer |
| CF |
counter flow |
|
Cp
|
specific heat (J/kg·K) |
|
Dh
|
hydraulic diameter of the channel (m) |
|
hconv
|
convective heat transfer coefficient (W/m2·K) |
|
Hc
|
microchannel height (m) |
| HS1, HS2, HS3 |
three random hotspot layout schemes |
| k |
thermal conductivity (W/m·K) |
| LB |
lower bound |
|
Ls
|
length of hotspot (m) |
|
Lx, Ly, Lz
|
length, total height, and total width of the heat sink, respectively (m) |
|
total mass flow rate (kg/s) |
|
total numbers of channels |
|
Δpch
|
pressure drop in one channel (Pa) |
|
Ptot
|
total pumping power required for a heat sink (W) |
| PF |
parallel flow |
|
,
|
heat fluxes applied at the hotspot, base, and background base, respectively (W/m2) |
|
Qtot
|
total heat applied at the base (W) |
| Re |
Reynolds number |
|
Rth,tot
|
total thermal resistance (K/W) |
| T |
temperature (K) |
| TL |
top layer |
| TF |
transverse flow |
|
uavg
|
average fluid velocity (m/s2) |
| UB |
upper bound |
|
velocity vector |
|
Wb1
|
thickness of base at the bottom (m) |
|
Wb2
|
thickness of base between the bottom and top layer (m) |
|
Wc
|
microchannel width (m) |
|
Wcp
|
thickness of the cover plate (m) |
| Ws
|
width of a hotspot (m) |
|
Ww
|
width of microchannel walls (m) |
|
X, Y, Z
|
orthogonal coordinate system |