Table 3.

Boundary conditions of the microchannel heat sink.

Inlet	Outlet	Bottom	Top	Interface	Sides
$u=u_{\mathit{in}}$	P = Pout	$q^{″}=-k_s\frac{\partial T_s}{\partial n}=0$	$q^{″}=-k_s\frac{\partial T_s}{\partial n}=const$	$u=0$	$q^{″}=-k_s\frac{\partial T_s}{\partial n}=0$
$v=0$				$v=0$
$w=0$				$w=0$
$T=T_{\mathit{in}}$				$T_s=T_f$
				$k_s\frac{\partial T_s}{\partial n}{=}_{}{k}_f\frac{\partial T_f}{\partial n}$