Mean Diameter of Impeller Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Dm = sqrt((Dt^2+Dh^2)/2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Mean Diameter of Impeller - (Measured in Meter) - Mean Diameter of Impeller divides the total annular area into two equal parts.
Impeller Tip Diameter - (Measured in Meter) - Impeller Tip Diameter is the distance of the tip from the center of the shaft.
Impeller Hub Diameter - (Measured in Meter) - Impeller Hub Diameter is the distance of the hub (where the blade roots are mounted) from the center of the shaft.
STEP 1: Convert Input(s) to Base Unit
Impeller Tip Diameter: 0.4 Meter --> 0.4 Meter No Conversion Required
Impeller Hub Diameter: 0.1 Meter --> 0.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dm = sqrt((Dt^2+Dh^2)/2) --> sqrt((0.4^2+0.1^2)/2)
Evaluating ... ...
Dm = 0.291547594742265
STEP 3: Convert Result to Output's Unit
0.291547594742265 Meter --> No Conversion Required
FINAL ANSWER
0.291547594742265 0.291548 Meter <-- Mean Diameter of Impeller
(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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14 Compressor Calculators

Efficiency of compressor in actual gas turbine cycle
Go Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet)
Minimum Temperature Ratio
Go Temperature Ratio = (Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio))/(Isentropic Efficiency of Compressor*Efficiency of Turbine)
Efficiency of Compressor given Enthalpy
Go Isentropic Efficiency of Compressor = (Ideal Enthalpy after Compression-Enthalpy at Compressor Inlet)/(Actual Enthalpy after Compression-Enthalpy at Compressor Inlet)
Work Required to Drive Compressor Including Mechanical Losses
Go Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Shaft Work in Compressible Flow Machines
Go Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2)
Tip Velocity of Impeller given Hub Diameter
Go Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Compressor Work in Gas Turbine given Temperature
Go Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Tip Velocity of Impeller given Mean Diameter
Go Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60
Mean Diameter of Impeller
Go Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Impeller Outlet Diameter
Go Impeller Tip Diameter = (60*Tip Velocity)/(pi*RPM)
Degree of Reaction for Compressor
Go Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage)
Isentropic Efficiency of Compression Machine
Go Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input
Compressor work
Go Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet
Shaft Work in Compressible Flow Machines neglecting Inlet and Exit Velocities
Go Shaft Work = Enthalpy at Compressor Inlet-Enthalpy at Exit of Compressor

Mean Diameter of Impeller Formula

Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Dm = sqrt((Dt^2+Dh^2)/2)

What is impeller?

Impeller is a rotating component of a centrifugal pump that accelerates fluid outward from the center of rotation, thus transferring energy from the motor that drives the pump to the fluid being pumped.

How to Calculate Mean Diameter of Impeller?

Mean Diameter of Impeller calculator uses Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2) to calculate the Mean Diameter of Impeller, The Mean diameter of impeller formula is defined as the diameter which divides the area from hub to tip in 2 equal parts. Mean Diameter of Impeller is denoted by Dm symbol.

How to calculate Mean Diameter of Impeller using this online calculator? To use this online calculator for Mean Diameter of Impeller, enter Impeller Tip Diameter (Dt) & Impeller Hub Diameter (Dh) and hit the calculate button. Here is how the Mean Diameter of Impeller calculation can be explained with given input values -> 0.291548 = sqrt((0.4^2+0.1^2)/2).

FAQ

What is Mean Diameter of Impeller?
The Mean diameter of impeller formula is defined as the diameter which divides the area from hub to tip in 2 equal parts and is represented as Dm = sqrt((Dt^2+Dh^2)/2) or Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2). Impeller Tip Diameter is the distance of the tip from the center of the shaft & Impeller Hub Diameter is the distance of the hub (where the blade roots are mounted) from the center of the shaft.
How to calculate Mean Diameter of Impeller?
The Mean diameter of impeller formula is defined as the diameter which divides the area from hub to tip in 2 equal parts is calculated using Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2). To calculate Mean Diameter of Impeller, you need Impeller Tip Diameter (Dt) & Impeller Hub Diameter (Dh). With our tool, you need to enter the respective value for Impeller Tip Diameter & Impeller Hub 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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