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 = (Pl/((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) - 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) - 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: 7.9E-16 Watt --> 7.9E-16 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 = (Pl/((pi*ν*w^2)/(13200*t))+r1^4)^(1/4) --> (7.9E-16/((pi*0.000725*0.0085^2)/(13200*0.00192))+0.014^4)^(1/4)
Evaluating ... ...
r2 = 0.0200026258083372
STEP 3: Convert Result to Output's Unit
0.0200026258083372 Meter -->20.0026258083372 Millimeter (Check conversion ​here)
FINAL ANSWER
20.0026258083372 20.00263 Millimeter <-- Outer Radius of Rotating Member Inside Bush Seal
(Calculation completed in 00.020 seconds)

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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)

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

​LaTeX ​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)
r2 = (Pl/((pi*ν*w^2)/(13200*t))+r1^4)^(1/4)

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 (Pl), 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 = (7.9E-16/((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 = (Pl/((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, 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 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 (Pl), 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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