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.