Although an exact analytical solution of the Buckingham-Reiner equation can be obtained because it is a fourth order polynomial equation in f, due to complexity of the solution it is rarely employed. Therefore, researchers have tried to develop explicit approximations for the Buckingham-Reiner equation.
The Swamee Aggarwal equation is used to solve directly for the Darcy–Weisbach friction factor f for laminar flow of Bingham plastic fluids. It is an approximation of the implicit Buckingham-Reiner equation, but the discrepancy from experimental data is well within the accuracy of the data.Related formulas
|fL||Friction loss for a laminar flow (dimensionless)|
|Re||Reynolds number (dimensionless)|
|He||Hedstrom number (dimensionless)|