Fluid Flow

Bingham Plastic Fluid

This web application calculates pressure drop in a straight pipe due to flow of a non-Newtonian Bingham plastic fluid.

Pipe Data

Pipe Size (inch) Schedule / Thickness

Pipe Length, L

Fitting Loss, k

Fluid Data

Result

Pipe Inside Diameter	mm	77.93
Volumetric flowrate	m³/h	8.64
Velocity	m/s	0.503
Equivalent length due to loss in pipe fittings	m	11.76
Pressure Drop	bar	0.0253

Reynold's Number

Reynolds number for Bingham plastic fluid is defined as

$\displaystyle \displaystyle Re = \frac{D.v.\rho}{\mu_{p}}$

where, D is pipe inside diameter, V is fluid velocity, ρ is fluid density and μ_p is plastic viscosity.

Reynold's Number	-	22536

Friction Factor

For Laminar flow, friction factor is provided by Buckingham Reiner equation.

Fanning f _Laminar	-	0.0198
Hedstrom Number	-	4330715

For turbulent flow, an empirical relationship was developed by Darby and Melson.

Fanning f _Turbulent	-	0.00490
Friction factor	-	0.0199

Reference