Brinkman number

Input(s)

$\mu$: Viscosity (Pa s)

$\boldsymbol{v}_{\boldsymbol{b}}$: Velocity at Outer Perimeter $(\mathrm{cm} / \mathrm{s})$

$\boldsymbol{k}$: Thermal Conductivity $(\mathrm{W} / \mathrm{cm} \mathrm{K})$

$\boldsymbol{T}_{\boldsymbol{b}}$: Temperature at Outer Perimeter (K)

$\boldsymbol{T}_{\boldsymbol{o}}$: Temperature at Inner Perimeter (K)

Output(s)

Br: Brinkman Number (dimensionless)

Formula(s)

$$ B r=\mu * \frac{v_{b}^{2}}{k *\left(T_{b}-T_{o}\right)} $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 10, Page: 300.