Stress and Moduli:

$\sigma = F/A \quad [M^1 L^{-1} T^{-2}]$ $Y = FL/(A\Delta L), \quad B = -V(dP/dV), \quad G = \tau/\phi \quad \text{all } [M^1 L^{-1} T^{-2}]$

Fluid Statics:

$P = P_0 + \rho g h \quad [M^1 L^{-1} T^{-2}]$

Fluid Dynamics:

$A_1v_1 = A_2v_2 \quad [L^3 T^{-1}]$ $P + \tfrac{1}{2}\rho v^2 + \rho g h = \text{const} \quad [M^1 L^{-1} T^{-2}]$

Viscosity:

$\eta: [M^1 L^{-1} T^{-1}] \text{ (Pa·s)}$ $F_{\text{Stokes}} = 6\pi\eta r v \quad [M^1 L^1 T^{-2}] \text{ (N)}$ $v_t = 2r^2(\rho-\sigma)g/(9\eta) \quad [M^0 L^1 T^{-1}] \text{ (m/s)}$

Surface Tension:

$S = F/L \quad [M^1 L^0 T^{-2}] \text{ (N/m)}$ $\Delta P_{\text{drop}} = 2S/R, \quad \Delta P_{\text{bubble}} = 4S/R \quad [M^1 L^{-1} T^{-2}]$ $h = 2S\cos\theta/(\rho g r) \quad [L]$

Heat Transfer:

$K: [M^1 L^1 T^{-3} K^{-1}], \quad Q/t = KA\Delta T/L$ $\sigma_{\text{SB}}: [M^1 T^{-3} K^{-4}], \quad P = \sigma A T^4$ $\beta = 3\alpha, \quad \beta_{\text{area}} = 2\alpha$