Permeability Number Calculator

✖The Volume of air required under standard conditions.ⓘ Volume of air [V_air]			+10% -10%
✖Height of Specimen is the height of specimen defined in question.ⓘ Height of Specimen [h_s]			+10% -10%
✖Air pressure on wall is the pressure exerted by air on the walls in which it is confined.ⓘ Air pressure on wall [ρ]			+10% -10%
✖Cross-sectional area of specimen is the area exposed when specimen is cut transversely.ⓘ Cross-sectional area of specimen [A]			+10% -10%
✖Time is the fundamental dimension of measurement.ⓘ Time [t_p]			+10% -10%

✖Permeability Number is the rate of flow of air passing through a standard specimen under a standard pressure.ⓘ Permeability Number [PN]

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Formula

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Permeability Number

Formula

`"PN" = ("V"_{"air"}*"h"_{"s"})/("ρ"*"A"*"t"_{"p"})`

Example

`"4.361654H/m"=("0.001669m³"*"6m")/("0.0385kgf/m²"*"0.002027m²"*"3s")`

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Download Permeability Number Formulas PDF

Permeability Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Permeability Number = (Volume of air*Height of Specimen)/(Air pressure on wall*Cross-sectional area of specimen*Time)
PN = (V_air*h_s)/(ρ*A*t_p)
This formula uses 6 Variables

Variables Used

Permeability Number - (Measured in Henry per Meter) - Permeability Number is the rate of flow of air passing through a standard specimen under a standard pressure.
Volume of air - (Measured in Cubic Meter) - The Volume of air required under standard conditions.
Height of Specimen - (Measured in Meter) - Height of Specimen is the height of specimen defined in question.
Air pressure on wall - (Measured in Pascal) - Air pressure on wall is the pressure exerted by air on the walls in which it is confined.
Cross-sectional area of specimen - (Measured in Square Meter) - Cross-sectional area of specimen is the area exposed when specimen is cut transversely.
Time - (Measured in Second) - Time is the fundamental dimension of measurement.

STEP 1: Convert Input(s) to Base Unit

Volume of air: 0.001669 Cubic Meter --> 0.001669 Cubic Meter No Conversion Required
Height of Specimen: 6 Meter --> 6 Meter No Conversion Required
Air pressure on wall: 0.0385 Kilogram-Force per Square Meter --> 0.377556024999973 Pascal (Check conversion here)
Cross-sectional area of specimen: 0.002027 Square Meter --> 0.002027 Square Meter No Conversion Required
Time: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PN = (V_air*h_s)/(ρ*A*t_p) --> (0.001669*6)/(0.377556024999973*0.002027*3)

Evaluating ... ...

PN = 4.36165367399915

STEP 3: Convert Result to Output's Unit

4.36165367399915 Henry per Meter --> No Conversion Required

FINAL ANSWER

4.36165367399915 ≈ 4.361654 Henry per Meter <-- Permeability Number

(Calculation completed in 00.004 seconds)

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Credits

Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 11 Permeability Number Calculators

Cross-Sectional Area of Specimen

Go Cross-sectional area of specimen = (Volume of Air Flow through Specimen*Specimen Height)/(Permeability Number*Air pressure on wall*Time)

Air Pressure during Testing

Go Air pressure on wall = (Volume of Air Flow through Specimen*Specimen Height)/(Permeability Number*Cross-sectional area of specimen*Time)

Time Taken during Testing

Go Time = (Volume of Air Flow through Specimen*Specimen Height)/(Permeability Number*Air pressure on wall*Cross-sectional area of specimen)

Volume of Air Passed through Specimen

Go Volume of Air Flow through Specimen = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Specimen Height

Height of Specimen

Go Specimen Height = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Volume of Air Flow through Specimen

Permeability Number

Go Permeability Number = (Volume of air*Height of Specimen)/(Air pressure on wall*Cross-sectional area of specimen*Time)

Grain Fineness Number

Go Grain Fineness Number = Sum of Product of Factor and Grams/Total Mass of Sand

Pressure during Testing or Standard Specimen

Go Pressure in Casting = 501.28/(Permeability Number*Time)

Permeability Number or Standard Specimen

Go Permeability Number = 501.28/(Pressure in Casting*Time)

Time Taken in Standard Specimen Testing

Go Time = 501.28/(Permeability Number*Pressure in Casting)

Ranginess Factor

Go Ranginess Factor = Modulus of Cube/Modulus of Casting

Permeability Number Formula

Permeability Number = (Volume of air*Height of Specimen)/(Air pressure on wall*Cross-sectional area of specimen*Time)
PN = (V_air*h_s)/(ρ*A*t_p)

How is permeability number calculated?

The Permeability Number the rate of flow of air passing through a standard specimen under a standard pressure.
The standard permeability test is to measure time taken by a 2000 cub cm of air at a pressure typically of 980 Pa (10 g/cm2), to pass through a standard sand specimen confined in a specimen tube. The standard specimen size is 50.8 mm in diameter and a length of 50.8 mm.

How to Calculate Permeability Number?

Permeability Number calculator uses Permeability Number = (Volume of air*Height of Specimen)/(Air pressure on wall*Cross-sectional area of specimen*Time) to calculate the Permeability Number, The Permeability Number the rate of flow of air passing through a standard specimen under a standard pressure. Permeability Number is denoted by PN symbol.

How to calculate Permeability Number using this online calculator? To use this online calculator for Permeability Number, enter Volume of air (V_air), Height of Specimen (h_s), Air pressure on wall (ρ), Cross-sectional area of specimen (A) & Time (t_p) and hit the calculate button. Here is how the Permeability Number calculation can be explained with given input values -> 4.3904 = (0.001669*6)/(0.377556024999973*0.002027*3).

FAQ

What is Permeability Number?

The Permeability Number the rate of flow of air passing through a standard specimen under a standard pressure and is represented as PN = (V_air*h_s)/(ρ*A*t_p) or Permeability Number = (Volume of air*Height of Specimen)/(Air pressure on wall*Cross-sectional area of specimen*Time). The Volume of air required under standard conditions, Height of Specimen is the height of specimen defined in question, Air pressure on wall is the pressure exerted by air on the walls in which it is confined, Cross-sectional area of specimen is the area exposed when specimen is cut transversely & Time is the fundamental dimension of measurement.

How to calculate Permeability Number?

The Permeability Number the rate of flow of air passing through a standard specimen under a standard pressure is calculated using Permeability Number = (Volume of air*Height of Specimen)/(Air pressure on wall*Cross-sectional area of specimen*Time). To calculate Permeability Number, you need Volume of air (V_air), Height of Specimen (h_s), Air pressure on wall (ρ), Cross-sectional area of specimen (A) & Time (t_p). With our tool, you need to enter the respective value for Volume of air, Height of Specimen, Air pressure on wall, Cross-sectional area of specimen & Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Permeability Number?

In this formula, Permeability Number uses Volume of air, Height of Specimen, Air pressure on wall, Cross-sectional area of specimen & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Permeability Number = 501.28/(Pressure in Casting*Time)

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