Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Calculator

✖Pressure at Seal Inside Radius is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure at Seal Inside Radius [P_i]			+10% -10%
✖Seal Fluid Density is the corresponding density of the fluid under the given conditions inside the seal.ⓘ Seal Fluid Density [ρ]			+10% -10%
✖Rotational speed of shaft inside seal is the angular velocity of the shaft rotating inside a packing seal.ⓘ Rotational speed of shaft inside seal [ω]			+10% -10%
✖Outer Radius of rotating member inside bush seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal.ⓘ Outer Radius of rotating member inside bush seal [r₂]			+10% -10%
✖Inner Radius of rotating member inside bush seal is the radius of the inner surface of the shaft rotating inside a bushed packing seal.ⓘ Inner Radius of Rotating Member inside Bush Seal [r₁]			+10% -10%

✖Internal Hydraulic Pressure pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.ⓘ Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal [P₂]

⎘ Copy

👎

Formula

✖

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal

Formula

`"P"_{"2"} = "P"_{"i"}+(3*"ρ"*"ω"^2)/20*("r"_{"2"}^2-"r"_{"1"}^2)*1000`

Example

`"189339.5Pa"="2Pa"+(3*"1100kg/m³"*("75rad/s")^2)/20*(("20mm")^2-("14mm")^2)*1000`

Calculator

LaTeX

Reset

👍

Download Seals Formulas PDF

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/20*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)*1000
P₂ = P_i+(3*ρ*ω^2)/20*(r₂^2-r₁^2)*1000
This formula uses 6 Variables

Variables Used

Internal Hydraulic Pressure - (Measured in Pascal) - Internal Hydraulic Pressure pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.
Pressure at Seal Inside Radius - (Measured in Pascal) - Pressure at Seal Inside Radius is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Seal Fluid Density - (Measured in Kilogram per Cubic Meter) - Seal Fluid Density is the corresponding density of the fluid under the given conditions inside the seal.
Rotational speed of shaft inside seal - (Measured in Radian per Second) - Rotational speed of shaft inside seal is the angular velocity of the shaft rotating inside a packing seal.
Outer Radius of rotating member inside bush seal - (Measured in Meter) - Outer Radius of rotating member inside bush seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal.
Inner Radius of Rotating Member inside Bush Seal - (Measured in Meter) - Inner Radius of rotating member inside bush seal is the radius of the inner surface of the shaft rotating inside a bushed packing seal.

STEP 1: Convert Input(s) to Base Unit

Pressure at Seal Inside Radius: 2 Pascal --> 2 Pascal No Conversion Required
Seal Fluid Density: 1100 Kilogram per Cubic Meter --> 1100 Kilogram per Cubic Meter No Conversion Required
Rotational speed of shaft inside seal: 75 Radian per Second --> 75 Radian per Second No Conversion Required
Outer Radius of rotating member inside bush seal: 20 Millimeter --> 0.02 Meter (Check conversion here)
Inner Radius of Rotating Member inside Bush Seal: 14 Millimeter --> 0.014 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₂ = P_i+(3*ρ*ω^2)/20*(r₂^2-r₁^2)*1000 --> 2+(3*1100*75^2)/20*(0.02^2-0.014^2)*1000

Evaluating ... ...

P₂ = 189339.5

STEP 3: Convert Result to Output's Unit

189339.5 Pascal --> No Conversion Required

FINAL ANSWER

189339.5 Pascal <-- Internal Hydraulic Pressure

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Coupling » Seals » Leakage through Bush Seals » Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal

Credits

Created by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

sanjay shiva has created this Calculator and 100+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 17 Leakage through Bush Seals Calculators

Amount of Leakage of Fluid through Face Seal

Go Oil Flow from Bush Seal = (pi*Thickness of Fluid between Members^3)/(6*Kinematic viscosity of bush seal fluid*ln(Outer Radius of rotating member inside bush seal/Inner Radius of Rotating Member inside Bush Seal))*((3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/(20*[g])*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)-Internal Hydraulic Pressure-Pressure at Seal Inside Radius)

Radial Pressure Distribution for Laminar Flow

Go Pressure at Radial Position for Bush Seal = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/(20*[g])*(Radial Position in Bush Seal^2-Inner Radius of Rotating Member inside Bush Seal^2)-(6*Kinematic viscosity of bush seal fluid)/(pi*Thickness of Fluid between Members^3)*ln(Radial Position in Bush Seal/Radius of rotating member inside bush seal)

Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid

Go Volumetric Flow Rate per Unit Pressure = (Radial Clearance for Seals^3)/(12*Absolute Viscosity of Oil in Seals)*(Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)/(Outer Radius of Plain Bush Seal*ln(Outer Radius of Plain Bush Seal/Inner Radius of Plain Bush Seal))

Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Compressible Fluid

Go Volumetric Flow Rate per Unit Pressure = (Radial Clearance for Seals^3)/(24*Absolute Viscosity of Oil in Seals)*((Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)/(Outer Radius of Plain Bush Seal))*((Minimum Percentage Compression+Exit Pressure)/(Exit Pressure))

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal

Go Outer Radius of rotating member inside bush seal = (Power loss for seal/(((pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Thickness of Fluid between Members)))+Inner Radius of Rotating Member inside Bush Seal^4)^(1/4)

Thickness of Fluid between Members given Power Loss due to Leakage of Fluid through Face Seal

Go Thickness of Fluid between Members = (pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Power loss for seal)*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4)

Kinematic Viscosity given Power Loss due to Leakage of Fluid through Face Seal

Go Kinematic viscosity of bush seal fluid = (13200*Power loss for seal*Thickness of Fluid between Members)/(pi*Nominal Packing Cross-section of Bush Seal^2*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4))

Power Loss or Consumption due to Leakage of Fluid through Face Seal

Go Power loss for seal = (pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Thickness of Fluid between Members)*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4)

Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition

Go Oil Flow from Bush Seal = (2*pi*Outer Radius of Plain Bush Seal*(Minimum Percentage Compression-Exit Pressure/10^6))/(Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)*Volumetric Flow Rate per Unit Pressure

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal

Go Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/20*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)*1000

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition

Go Oil Flow from Bush Seal = (2*pi*Outer Radius of Plain Bush Seal*(Minimum Percentage Compression-Exit Pressure/10^6))/(Depth of U Collar)*Volumetric Flow Rate per Unit Pressure

Volumetric Flow Rate under Laminar Flow Condition for Axial Bush Seal for Compressible Fluid

Go Volumetric Flow Rate per Unit Pressure = (Radial Clearance for Seals^3)/(12*Absolute Viscosity of Oil in Seals)*(Minimum Percentage Compression+Exit Pressure)/(Exit Pressure)

Thickness of Fluid between Members given Shape Factor

Go Thickness of Fluid between Members = (Outside Diameter of Packing Gasket-Inside Diameter of Packing Gasket)/(4*Shape Factor for Circular Gasket)

Shape Factor for Circular or Annular Gasket

Go Shape Factor for Circular Gasket = (Outside Diameter of Packing Gasket-Inside Diameter of Packing Gasket)/(4*Thickness of Fluid between Members)

Outside Diameter of Gasket given Shape Factor

Go Outside Diameter of Packing Gasket = Inside Diameter of Packing Gasket+4*Thickness of Fluid between Members*Shape Factor for Circular Gasket

Inside Diameter of Gasket given Shape Factor

Go Inside Diameter of Packing Gasket = Outside Diameter of Packing Gasket-4*Thickness of Fluid between Members*Shape Factor for Circular Gasket

Volumetric Efficiency of Reciprocating Compressor

Go Volumetric Efficiency = Actual volume/Piston Swept Volume

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Formula

What is internal hydraulic pressure?

Internal hydraulic pressure is the force imparted per unit area of a liquid on the surfaces with which it has contact.

How to Calculate Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal calculator uses Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/20*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)*1000 to calculate the Internal Hydraulic Pressure, Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal formula is defined as force imparted per unit area of a liquid on the surfaces with which it has contact. Internal Hydraulic Pressure is denoted by P₂ symbol.

How to calculate Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal using this online calculator? To use this online calculator for Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal, enter Pressure at Seal Inside Radius (P_i), Seal Fluid Density (ρ), Rotational speed of shaft inside seal (ω), Outer Radius of rotating member inside bush seal (r₂) & Inner Radius of Rotating Member inside Bush Seal (r₁) and hit the calculate button. Here is how the Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal calculation can be explained with given input values -> 189339.5 = 2+(3*1100*75^2)/20*(0.02^2-0.014^2)*1000.

FAQ

What is Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal formula is defined as force imparted per unit area of a liquid on the surfaces with which it has contact and is represented as P₂ = P_i+(3*ρ*ω^2)/20*(r₂^2-r₁^2)*1000 or Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/20*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)*1000. Pressure at Seal Inside Radius is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Seal Fluid Density is the corresponding density of the fluid under the given conditions inside the seal, Rotational speed of shaft inside seal is the angular velocity of the shaft rotating inside a packing seal, Outer Radius of rotating member inside bush seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal & Inner Radius of rotating member inside bush seal is the radius of the inner surface of the shaft rotating inside a bushed packing seal.

How to calculate Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal formula is defined as force imparted per unit area of a liquid on the surfaces with which it has contact is calculated using Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/20*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)*1000. To calculate Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal, you need Pressure at Seal Inside Radius (P_i), Seal Fluid Density (ρ), Rotational speed of shaft inside seal (ω), Outer Radius of rotating member inside bush seal (r₂) & Inner Radius of Rotating Member inside Bush Seal (r₁). With our tool, you need to enter the respective value for Pressure at Seal Inside Radius, Seal Fluid Density, Rotational speed of shaft inside seal, Outer Radius of rotating member inside bush seal & Inner Radius of Rotating Member inside Bush Seal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search