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

✖Power loss for seal is the loss of power consumed due to leakage of fluid through face seal.ⓘ Power loss for seal [P_loss]			+10% -10%
✖Kinematic viscosity of bush seal fluid is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic viscosity of bush seal fluid [ν]			+10% -10%
✖The Nominal Packing Cross-section of Bush Seal is a surface or shape exposed by making a straight cut through something, especially at right angles to an axis.ⓘ Nominal Packing Cross-section of Bush Seal [w]			+10% -10%
✖The Thickness of Fluid between Members refers to how resistant a fluid is to moving through it. For example, Water has a low or "thin" viscosity, while honey has a "thick" or high viscosity.ⓘ Thickness of Fluid between Members [t]			+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%

✖Outer Radius of rotating member inside bush seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal.ⓘ Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal [r₂]

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Formula

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

Formula

`"r"_{"2"} = ("P"_{"loss"}/(((pi*"ν"*"w"^2)/(13200*"t")))+"r"_{"1"}^4)^(1/4)`

Example

`"221749.3mm"=("15.7W"/(((pi*"7.25St"*("8.5mm")^2)/(13200*"1.92mm")))+("14mm")^4)^(1/4)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
r₂ = (P_loss/(((pi*ν*w^2)/(13200*t)))+r₁^4)^(1/4)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Power loss for seal - (Measured in Watt) - Power loss for seal is the loss of power consumed due to leakage of fluid through face seal.
Kinematic viscosity of bush seal fluid - (Measured in Square Meter per Second) - Kinematic viscosity of bush seal fluid is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
Nominal Packing Cross-section of Bush Seal - (Measured in Meter) - The Nominal Packing Cross-section of Bush Seal is a surface or shape exposed by making a straight cut through something, especially at right angles to an axis.
Thickness of Fluid between Members - (Measured in Meter) - The Thickness of Fluid between Members refers to how resistant a fluid is to moving through it. For example, Water has a low or "thin" viscosity, while honey has a "thick" or high viscosity.
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

Power loss for seal: 15.7 Watt --> 15.7 Watt No Conversion Required
Kinematic viscosity of bush seal fluid: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Nominal Packing Cross-section of Bush Seal: 8.5 Millimeter --> 0.0085 Meter (Check conversion here)
Thickness of Fluid between Members: 1.92 Millimeter --> 0.00192 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

r₂ = (P_loss/(((pi*ν*w^2)/(13200*t)))+r₁^4)^(1/4) --> (15.7/(((pi*0.000725*0.0085^2)/(13200*0.00192)))+0.014^4)^(1/4)

Evaluating ... ...

r₂ = 221.749306558868

STEP 3: Convert Result to Output's Unit

221.749306558868 Meter -->221749.306558868 Millimeter (Check conversion here)

FINAL ANSWER

221749.306558868 ≈ 221749.3 Millimeter <-- Outer Radius of rotating member inside bush seal

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Seals » Leakage through Bush Seals » Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal

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

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< 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

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

What is leakage of fluid?

Leakage of fluid is fluid is leaking from any point along the intricate machinery, the fluid will lose its effectiveness and is represented.

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

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal calculator uses 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) to calculate the Outer Radius of rotating member inside bush seal, The Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal formula is defined as the distance from the center of the rotating member to its outermost edge or boundary. Outer Radius of rotating member inside bush seal is denoted by r₂ symbol.

How to calculate Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal using this online calculator? To use this online calculator for Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal, enter Power loss for seal (P_loss), Kinematic viscosity of bush seal fluid (ν), Nominal Packing Cross-section of Bush Seal (w), Thickness of Fluid between Members (t) & Inner Radius of Rotating Member inside Bush Seal (r₁) and hit the calculate button. Here is how the Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal calculation can be explained with given input values -> 2.2E+8 = (15.7/(((pi*0.000725*0.0085^2)/(13200*0.00192)))+0.014^4)^(1/4).

FAQ

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

The Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal formula is defined as the distance from the center of the rotating member to its outermost edge or boundary and is represented as r₂ = (P_loss/(((pi*ν*w^2)/(13200*t)))+r₁^4)^(1/4) or 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). Power loss for seal is the loss of power consumed due to leakage of fluid through face seal, Kinematic viscosity of bush seal fluid is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid, The Nominal Packing Cross-section of Bush Seal is a surface or shape exposed by making a straight cut through something, especially at right angles to an axis, The Thickness of Fluid between Members refers to how resistant a fluid is to moving through it. For example, Water has a low or "thin" viscosity, while honey has a "thick" or high viscosity & 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 Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal?

The Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal formula is defined as the distance from the center of the rotating member to its outermost edge or boundary is calculated using 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). To calculate Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal, you need Power loss for seal (P_loss), Kinematic viscosity of bush seal fluid (ν), Nominal Packing Cross-section of Bush Seal (w), Thickness of Fluid between Members (t) & Inner Radius of Rotating Member inside Bush Seal (r₁). With our tool, you need to enter the respective value for Power loss for seal, Kinematic viscosity of bush seal fluid, Nominal Packing Cross-section of Bush Seal, Thickness of Fluid between Members & 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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