| Best Efficiency Point Friction Losses Reynolds Number |
Friction Factor Pipe Absolute Roughness
Cole-Parmer makes every attempt to publish a representative flow versus back pressure curve. In many cases, we can also furnish performance curves that quantify parameters such as NPSHreq.
NPSHreq: The Net Positive Suction Head that must be available to the pump for cavitation-free operation. NPSHreq is typically expressed in either foot of head or units of pressure.
The Best Efficiency Point is the point at which effects of head (pressure) and flow converge to produce the greatest amount of output for the least amount of energy.
NPSHavail = ha - hvpa - hst - hfs when suction lifts fluid
NPSHavail = ha - hvpa hst - hfs for flooded suction
ha = absolute pressure (in feet of the liquid being pumped) on the surface of the liquid supply level (this will be barometric pressure if suction is from an open tank or sump; or the absolute pressure existing in a closed tank such as a condenser hotwell or deareator).
hvpa = The head in feet corresponding to the vapor pressure of the liquid at the temperature being pumped.
hst = Static height in feet that the liquid supply level is above or below the pump centerline or impeller eye.
hfs = All suction line losses (in feet) including entrance losses and friction losses through pipe, valves, and fittings.
Friction losses in pipes is commonly calculated with the Darcy-Weisbach equation, in which: hf = friction loss in feet of liquid f = friction factora dimensionless number which has been determined experimentally and for turbulent flow depends on the roughness of the pipe's interior surface and the Reynolds number. L = pipe length in feet D = average inside diameter of pipe in feet V = average pipe velocity in ft/sec g = gravitational constant (32.174 ft/sec2)
The Reynolds number is determined by an equation in which: D = inside diameter of pipe in feet
V = average pipe velocity in ft/sec
n = kinematic viscosity in ft2/sec
In the case of a viscous (laminar) flow, in which the Reynolds number is below 2000, the friction factor is determined by the following equation in which: R = Reynolds number
In the case of turbulent flow, in which the Reynolds number is above 4000, the friction factor can be determined by the following equation developed by C. F. Colebrook:
ρ = density at temperature and pressure at which liquid is flowing in lb/ft2
|ρ = [-2 log10 ( || Ε || ||2.51 ||)] ||-z |
|3.7D ||R√f |
Ε = absolute roughness (see Pipe Absolute Roughness table below)
D = inside diameter of pipe in feet
R = Reynolds number
f = friction factor
z = absolute or dynamic viscosity in centerpoises
|Type of pipe ||Absolute Roughness (Ε) in feet |
|Drawn tubing (glass, brass, plastic) ||0.000005 |
|Commercial steel or wrought iron ||0.00015 |
|Cast iron (asphalt dipped) ||0.0004 |
|Galvanized iron ||0.0005 |
|Cast iron (uncoated) ||0.00085 |
|Wood stave ||0.0006 to 0.0003 |
|Concrete ||0.001 to 0.01 |
|Riveted steel ||0.003 to 0.03 |