Outer Diameter of Seal Ring given Loss of Liquid Head Calculator

✖The Absolute Viscosity of Oil in Seals represents the ratio of a fluid's shear stress to its velocity gradient. It is a fluid's internal flow resistance.ⓘ Absolute Viscosity of Oil in Seals [μ]			+10% -10%
✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity [v]			+10% -10%
✖Density Of Liquid of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density Of Liquid [ρ_l]			+10% -10%
✖Loss of Liquid Head is a measure of the reduction in the total head of the fluid as it moves through a fluid system. Head loss is unavoidable in real fluids.ⓘ Loss of Liquid Head [h_μ]			+10% -10%

✖The Outside Diameter of Seal Ring is any straight line segment that passes through the center of the ring and whose endpoints lie on the ring.ⓘ Outer Diameter of Seal Ring given Loss of Liquid Head [d₁]

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Formula

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Outer Diameter of Seal Ring given Loss of Liquid Head

Formula

`"d"_{"1"} = sqrt((64*"μ"*"v")/(2*"[g]"*"ρ"_{"l"}*"h"_{"μ"}))`

Example

`"381.9402mm"=sqrt((64*"7.8cP"*"120m/s")/(2*"[g]"*"997kg/m³"*"21mm"))`

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Outer Diameter of Seal Ring given Loss of Liquid Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outside Diameter of Seal Ring = sqrt((64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Loss of Liquid Head))
d₁ = sqrt((64*μ*v)/(2*[g]*ρ_l*h_μ))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Outside Diameter of Seal Ring - (Measured in Meter) - The Outside Diameter of Seal Ring is any straight line segment that passes through the center of the ring and whose endpoints lie on the ring.
Absolute Viscosity of Oil in Seals - (Measured in Pascal Second) - The Absolute Viscosity of Oil in Seals represents the ratio of a fluid's shear stress to its velocity gradient. It is a fluid's internal flow resistance.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Density Of Liquid - (Measured in Kilogram per Cubic Meter) - Density Of Liquid of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Loss of Liquid Head - (Measured in Meter) - Loss of Liquid Head is a measure of the reduction in the total head of the fluid as it moves through a fluid system. Head loss is unavoidable in real fluids.

STEP 1: Convert Input(s) to Base Unit

Absolute Viscosity of Oil in Seals: 7.8 Centipoise --> 0.0078 Pascal Second (Check conversion here)
Velocity: 120 Meter per Second --> 120 Meter per Second No Conversion Required
Density Of Liquid: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Loss of Liquid Head: 21 Millimeter --> 0.021 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = sqrt((64*μ*v)/(2*[g]*ρ_l*h_μ)) --> sqrt((64*0.0078*120)/(2*[g]*997*0.021))

Evaluating ... ...

d₁ = 0.381940180688636

STEP 3: Convert Result to Output's Unit

0.381940180688636 Meter -->381.940180688636 Millimeter (Check conversion here)

FINAL ANSWER

381.940180688636 ≈ 381.9402 Millimeter <-- Outside Diameter of Seal Ring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Seals » Straight Cut Sealings » Outer Diameter of Seal Ring given Loss of Liquid Head

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Created by sanjay shiva

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

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< 15 Straight Cut Sealings Calculators

Modulus of Elasticity given Stress in Seal Ring

Go Modulus of Elasticity = (Stress in seal ring*Radial Ring Wall Thickness*(Outside Diameter of Seal Ring/Radial Ring Wall Thickness-1)^2)/(0.4815*Radial Clearance for Seals)

Radial Clearance given Stress in Seal Ring

Go Radial Clearance for Seals = (Stress in seal ring*Radial Ring Wall Thickness*(Outside Diameter of Seal Ring/Radial Ring Wall Thickness-1)^2)/(0.4815*Modulus of Elasticity)

Stress in Seal Ring

Go Stress in seal ring = (0.4815*Radial Clearance for Seals*Modulus of Elasticity)/(Radial Ring Wall Thickness*(Outside Diameter of Seal Ring/Radial Ring Wall Thickness-1)^2)

Outer Diameter of Seal Ring given Loss of Liquid Head

Go Outside Diameter of Seal Ring = sqrt((64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Loss of Liquid Head))

Radius given Leakage Velocity

Go Radius of Seal = sqrt((8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals*Velocity)/(Pressure Change))

Absolute Viscosity given Loss of Liquid Head

Go Absolute Viscosity of Oil in Seals = (2*[g]*Density Of Liquid*Loss of Liquid Head*Outside Diameter of Seal Ring^2)/(64*Velocity)

Density of Liquid given Loss of Liquid Head

Go Density Of Liquid = (64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Loss of Liquid Head*Outside Diameter of Seal Ring^2)

Loss of Liquid Head

Go Loss of Liquid Head = (64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Outside Diameter of Seal Ring^2)

Incremental Length in Direction of Velocity given Leakage Velocity

Go Incremental Length in Direction of Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Velocity*Absolute Viscosity of Oil in Seals)

Change in Pressure given Leakage Velocity

Go Pressure Change = (8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals*Velocity)/(Radius of Seal^2)

Absolute Viscosity given Leakage Velocity

Go Absolute Viscosity of Oil in Seals = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Velocity)

Leakage Velocity

Go Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals)

Area of Seal in contact with Sliding member given Leakage

Go Area = Discharge through Orifice/Velocity

Velocity given Leakage

Go Velocity = Discharge through Orifice/Area

Quantity of Leakage

Go Discharge through Orifice = Velocity*Area

Outer Diameter of Seal Ring given Loss of Liquid Head Formula

Outside Diameter of Seal Ring = sqrt((64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Loss of Liquid Head))
d₁ = sqrt((64*μ*v)/(2*[g]*ρ_l*h_μ))

What is Outer diameter of seal ring?

Outside diameter of seal ring is any straight line segment that passes through the center of the ring and whose endpoints lie on the ring.

How to Calculate Outer Diameter of Seal Ring given Loss of Liquid Head?

Outer Diameter of Seal Ring given Loss of Liquid Head calculator uses Outside Diameter of Seal Ring = sqrt((64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Loss of Liquid Head)) to calculate the Outside Diameter of Seal Ring, The Outer Diameter of Seal Ring given Loss of Liquid Head formula is defined as any straight line segment that passes through the center of the ring and whose endpoints lie on the ring. Outside Diameter of Seal Ring is denoted by d₁ symbol.

How to calculate Outer Diameter of Seal Ring given Loss of Liquid Head using this online calculator? To use this online calculator for Outer Diameter of Seal Ring given Loss of Liquid Head, enter Absolute Viscosity of Oil in Seals (μ), Velocity (v), Density Of Liquid (ρ_l) & Loss of Liquid Head (h_μ) and hit the calculate button. Here is how the Outer Diameter of Seal Ring given Loss of Liquid Head calculation can be explained with given input values -> 270072.5 = sqrt((64*0.0078*120)/(2*[g]*997*0.021)).

FAQ

What is Outer Diameter of Seal Ring given Loss of Liquid Head?

The Outer Diameter of Seal Ring given Loss of Liquid Head formula is defined as any straight line segment that passes through the center of the ring and whose endpoints lie on the ring and is represented as d₁ = sqrt((64*μ*v)/(2*[g]*ρ_l*h_μ)) or Outside Diameter of Seal Ring = sqrt((64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Loss of Liquid Head)). The Absolute Viscosity of Oil in Seals represents the ratio of a fluid's shear stress to its velocity gradient. It is a fluid's internal flow resistance, Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time, Density Of Liquid of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & Loss of Liquid Head is a measure of the reduction in the total head of the fluid as it moves through a fluid system. Head loss is unavoidable in real fluids.

How to calculate Outer Diameter of Seal Ring given Loss of Liquid Head?

The Outer Diameter of Seal Ring given Loss of Liquid Head formula is defined as any straight line segment that passes through the center of the ring and whose endpoints lie on the ring is calculated using Outside Diameter of Seal Ring = sqrt((64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Loss of Liquid Head)). To calculate Outer Diameter of Seal Ring given Loss of Liquid Head, you need Absolute Viscosity of Oil in Seals (μ), Velocity (v), Density Of Liquid (ρ_l) & Loss of Liquid Head (h_μ). With our tool, you need to enter the respective value for Absolute Viscosity of Oil in Seals, Velocity, Density Of Liquid & Loss of Liquid Head 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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