The Brinkman number (Br) is a dimensionless number related to heat conduction from a wall to a flowing viscous fluid, commonly used in polymer processing. There are several definitions; one is The Brinkman number (Br) is a dimensionless number related to heat conduction from a wall to a flowing viscous fluid, commonly used in polymer processing. There are several definitions; one is B r = μ u 2 κ ( T w − T 0 ) = P r E c {displaystyle mathrm {Br} ={frac {mu u^{2}}{kappa (T_{w}-T_{0})}}=mathrm {Pr} ,mathrm {Ec} }