Power Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5)
Np = P*[g]/(ρl*((N/60)^3)*Da^5)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Power Number - Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force.
Power - (Measured in Watt) - Power is the amount of energy transferred or converted per unit time.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid is mass of a unit volume of a material substance.
Speed of Agitator - (Measured in Revolution per Minute) - Speed of Agitator is the rate of rotation of the drum or blades of a truck mixer or other device used for agitation of mixed concrete.
Agitator Diameter - (Measured in Meter) - Agitator Diameter usually depends on the Diameter of the vessel it is generally 1/3rd the diameter of the tank.
STEP 1: Convert Input(s) to Base Unit
Power: 12.5 Watt --> 12.5 Watt No Conversion Required
Density of Liquid: 4 Kilogram per Cubic Meter --> 4 Kilogram per Cubic Meter No Conversion Required
Speed of Agitator: 101 Revolution per Minute --> 101 Revolution per Minute No Conversion Required
Agitator Diameter: 150 Millimeter --> 0.15 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Np = P*[g]/(ρl*((N/60)^3)*Da^5) --> 12.5*[g]/(4*((101/60)^3)*0.15^5)
Evaluating ... ...
Np = 84606.5588815523
STEP 3: Convert Result to Output's Unit
84606.5588815523 --> No Conversion Required
FINAL ANSWER
84606.5588815523 84606.56 <-- Power Number
(Calculation completed in 00.004 seconds)

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4 Power Requirements for Agitation Calculators

Power Required for Agitator
Go Power = (Power Number*Density of Liquid*(((Speed of Agitator)/(60))^3)*(Agitator Diameter^5))/([g]*75)
Power Number
Go Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5)
Reynolds Number
Go Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity
Froude Number
Go Froude Number = Inertia Force/Gravity Force

Power Number Formula

Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5)
Np = P*[g]/(ρl*((N/60)^3)*Da^5)

What is Dimensionless Number?

Dimensionless numbers in fluid mechanics are a set of dimensionless quantities that have an important role in analyzing the behavior of fluids.

How to Calculate Power Number?

Power Number calculator uses Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5) to calculate the Power Number, Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force , it is calculated using agitator diameter, density of liquid, and by acceleration. Power Number is denoted by Np symbol.

How to calculate Power Number using this online calculator? To use this online calculator for Power Number, enter Power (P), Density of Liquid l), Speed of Agitator (N) & Agitator Diameter (Da) and hit the calculate button. Here is how the Power Number calculation can be explained with given input values -> 84606.56 = 12.5*[g]/(4*((10.576695266547/60)^3)*0.15^5).

FAQ

What is Power Number?
Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force , it is calculated using agitator diameter, density of liquid, and by acceleration and is represented as Np = P*[g]/(ρl*((N/60)^3)*Da^5) or Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5). Power is the amount of energy transferred or converted per unit time, Density of Liquid is mass of a unit volume of a material substance, Speed of Agitator is the rate of rotation of the drum or blades of a truck mixer or other device used for agitation of mixed concrete & Agitator Diameter usually depends on the Diameter of the vessel it is generally 1/3rd the diameter of the tank.
How to calculate Power Number?
Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force , it is calculated using agitator diameter, density of liquid, and by acceleration is calculated using Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5). To calculate Power Number, you need Power (P), Density of Liquid l), Speed of Agitator (N) & Agitator Diameter (Da). With our tool, you need to enter the respective value for Power, Density of Liquid, Speed of Agitator & Agitator Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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