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]

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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: 2E-07 Megapascal --> 0.2 Pascal (Check conversion here)
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 --> 0.2+(3*1100*75^2)/20*(0.02^2-0.014^2)*1000

Evaluating ... ...

P₂ = 189337.7

STEP 3: Convert Result to Output's Unit

189337.7 Pascal -->0.1893377 Megapascal (Check conversion here)

FINAL ANSWER

0.1893377 ≈ 0.189338 Megapascal <-- Internal Hydraulic Pressure

(Calculation completed in 00.004 seconds)

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

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Created by sanjay shiva

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

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< Leakage through Bush Seals Calculators

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

LaTeX 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))

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

LaTeX 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

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

LaTeX 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

LaTeX 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)

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

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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 -> 1.9E-7 = 0.2+(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.

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