Brinkman number

Input(s)

μ\mu: Viscosity (Pa s)

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

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

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

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

Output(s)

Br: Brinkman Number (dimensionless)

Formula(s)

Br=μvb2k(TbTo)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.


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