Length of Tube in Capillary Tube Method Calculator

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✖Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).ⓘ Density of Liquid [ρ]			+10% -10%
✖The Difference in pressure head is considered in the practical application of Bernoulli's equation.ⓘ Difference in Pressure Head [h]			+10% -10%
✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%
✖Discharge in Capillary Tube is the rate of flow of a liquid.ⓘ Discharge in Capillary Tube [Q]			+10% -10%
✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%

✖Length of Tube refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.ⓘ Length of Tube in Capillary Tube Method [L']

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Length of Tube in Capillary Tube Method

Formula

`"L'" = (4*pi*"ρ"*"[g]"*"h"*"r"^4)/(128*"Q"*"μ")`

Example

`"270638.1m"=(4*pi*"997kg/m³"*"[g]"*"10.21m"*("5m")^4)/(128*"2.75m³/s"*"8.23N*s/m²")`

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Length of Tube in Capillary Tube Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid)
L' = (4*pi*ρ*[g]*h*r^4)/(128*Q*μ)
This formula uses 2 Constants, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length of Tube - (Measured in Meter) - Length of Tube refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).
Difference in Pressure Head - (Measured in Meter) - The Difference in pressure head is considered in the practical application of Bernoulli's equation.
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
Discharge in Capillary Tube - (Measured in Cubic Meter per Second) - Discharge in Capillary Tube is the rate of flow of a liquid.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

STEP 1: Convert Input(s) to Base Unit

Density of Liquid: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Difference in Pressure Head: 10.21 Meter --> 10.21 Meter No Conversion Required
Radius: 5 Meter --> 5 Meter No Conversion Required
Discharge in Capillary Tube: 2.75 Cubic Meter per Second --> 2.75 Cubic Meter per Second No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L' = (4*pi*ρ*[g]*h*r^4)/(128*Q*μ) --> (4*pi*997*[g]*10.21*5^4)/(128*2.75*8.23)

Evaluating ... ...

L' = 270638.114209254

STEP 3: Convert Result to Output's Unit

270638.114209254 Meter --> No Conversion Required

FINAL ANSWER

270638.114209254 ≈ 270638.1 Meter <-- Length of Tube

(Calculation completed in 00.009 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< 19 Dimensions and Geometry Calculators

Radius of Capillary Tube

Go Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4)

Length of Tube in Capillary Tube Method

Go Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid)

Diameter of Pipe for Loss of Pressure Head in Viscous Flow

Go Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

Go Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)

Length of Pipe for Loss of Pressure Head in Viscous Flow

Go Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)

External or Outer Radius of Collar for Total Torque

Go Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Internal or Inner Radius of Collar for Total Torque

Go Inner Radius of Collar = (Outer Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Diameter of Pipe for Difference in Pressure in Viscous Flow

Go Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))

Thickness of Oil Film for Shear Force in Journal Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Shaft Diameter^2*Mean Speed in RPM*Length of Pipe)/(Shear Force)

Diameter of Pipe for Head Loss due to Friction in Viscous Flow

Go Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])

Length of Pipe for Head Loss due to Friction in Viscous Flow

Go Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)

Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress)

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing

Go Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)

Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

Go Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)

Diameter of Shaft for Torque Required in Foot-Step Bearing

Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Thickness of Oil Film for Torque required in Foot-Step Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Torque Exerted on Wheel

Length of Pipe for Difference of Pressure in Viscous Flow

Go Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)

Diameter of Sphere in Falling Sphere Resistance Method

Go Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

Length of Tube in Capillary Tube Method Formula

Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid)
L' = (4*pi*ρ*[g]*h*r^4)/(128*Q*μ)

What is capillary tube method?

A capillary tube of radius r is immersed vertically to a depth h1 in the liquid of density ρ1 under test. The pressure gρh required to force the meniscus down to the lower end of the capillary and to hold it there is measured.

What is capillary tube method in viscosity measurement?

A capillary tube viscometer was developed to measure the dynamic viscosity of gases for high pressure and high temperature. The measurements of a pressure drop across the capillary tube with high accuracy under extreme conditions are the main challenge for this method.

How to Calculate Length of Tube in Capillary Tube Method?

Length of Tube in Capillary Tube Method calculator uses Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid) to calculate the Length of Tube, The Length of tube in capillary tube method formula is known while considering the density of oil or fluid, viscosity of oil or fluid, the diameter of the capillary tube, and the discharge. Length of Tube is denoted by L' symbol.

How to calculate Length of Tube in Capillary Tube Method using this online calculator? To use this online calculator for Length of Tube in Capillary Tube Method, enter Density of Liquid (ρ), Difference in Pressure Head (h), Radius (r), Discharge in Capillary Tube (Q) & Viscosity of Fluid (μ) and hit the calculate button. Here is how the Length of Tube in Capillary Tube Method calculation can be explained with given input values -> 270638.1 = (4*pi*997*[g]*10.21*5^4)/(128*2.75*8.23).

FAQ

What is Length of Tube in Capillary Tube Method?

The Length of tube in capillary tube method formula is known while considering the density of oil or fluid, viscosity of oil or fluid, the diameter of the capillary tube, and the discharge and is represented as L' = (4*pi*ρ*[g]*h*r^4)/(128*Q*μ) or Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid). Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho), The Difference in pressure head is considered in the practical application of Bernoulli's equation, Radius is a radial line from the focus to any point of a curve, Discharge in Capillary Tube is the rate of flow of a liquid & The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

How to calculate Length of Tube in Capillary Tube Method?

The Length of tube in capillary tube method formula is known while considering the density of oil or fluid, viscosity of oil or fluid, the diameter of the capillary tube, and the discharge is calculated using Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid). To calculate Length of Tube in Capillary Tube Method, you need Density of Liquid (ρ), Difference in Pressure Head (h), Radius (r), Discharge in Capillary Tube (Q) & Viscosity of Fluid (μ). With our tool, you need to enter the respective value for Density of Liquid, Difference in Pressure Head, Radius, Discharge in Capillary Tube & Viscosity of Fluid 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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