Radius of Capillary Tube Calculator

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Fluid Flow and Resistance

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Discharge in Capillary Tube is the rate of flow of a liquid.ⓘ Discharge in Capillary Tube [Q]			+10% -10%
✖Length of Pipe 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 Pipe [L]			+10% -10%
✖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 of Capillary Tube is a radial line from the focus to any point of a curve.ⓘ Radius of Capillary Tube [r']

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Formula

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Radius of Capillary Tube

Formula

`"r'" = 1/2*((128*"μ"*"Q"*"L")/(pi*"ρ"*"[g]"*"h"))^(1/4)`

Example

`"0.204004m"=1/2*((128*"8.23N*s/m²"*"2.75m³/s"*"3m")/(pi*"997kg/m³"*"[g]"*"10.21m"))^(1/4)`

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Radius of Capillary Tube Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
r' = 1/2*((128*μ*Q*L)/(pi*ρ*[g]*h))^(1/4)
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

Radius of Capillary Tube - (Measured in Meter) - Radius of Capillary Tube is a radial line from the focus to any point of a curve.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Discharge in Capillary Tube - (Measured in Cubic Meter per Second) - Discharge in Capillary Tube is the rate of flow of a liquid.
Length of Pipe - (Measured in Meter) - Length of Pipe 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.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Discharge in Capillary Tube: 2.75 Cubic Meter per Second --> 2.75 Cubic Meter per Second No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r' = 1/2*((128*μ*Q*L)/(pi*ρ*[g]*h))^(1/4) --> 1/2*((128*8.23*2.75*3)/(pi*997*[g]*10.21))^(1/4)

Evaluating ... ...

r' = 0.204003717031146

STEP 3: Convert Result to Output's Unit

0.204003717031146 Meter --> No Conversion Required

FINAL ANSWER

0.204003717031146 ≈ 0.204004 Meter <-- Radius of Capillary Tube

(Calculation completed in 00.004 seconds)

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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)

Radius of Capillary Tube Formula

How does viscosity affect capillary action?

Capillary action is the phenomenon in which liquids rise up into a narrow tube called a capillary. The viscosity of a liquid is its resistance to flow. Liquids that have strong intermolecular forces tend to have high viscosities.

Why does liquid rise in capillary tube?

Capillarity is the result of surface, or interfacial, forces. The rise of water in a thin tube inserted in water is caused by forces of attraction between the molecules of water and the glass walls and among the molecules of water themselves.

How to Calculate Radius of Capillary Tube?

Radius of Capillary Tube calculator uses 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) to calculate the Radius of Capillary Tube, The Radius of capillary tube formula is known while considering the density of oil or fluid, difference in pressure head for a length 'L', the viscosity of fluid or oil, and the discharge. Radius of Capillary Tube is denoted by r' symbol.

How to calculate Radius of Capillary Tube using this online calculator? To use this online calculator for Radius of Capillary Tube, enter Viscosity of Fluid (μ), Discharge in Capillary Tube (Q), Length of Pipe (L), Density of Liquid (ρ) & Difference in Pressure Head (h) and hit the calculate button. Here is how the Radius of Capillary Tube calculation can be explained with given input values -> 0.204004 = 1/2*((128*8.23*2.75*3)/(pi*997*[g]*10.21))^(1/4).

FAQ

What is Radius of Capillary Tube?

The Radius of capillary tube formula is known while considering the density of oil or fluid, difference in pressure head for a length 'L', the viscosity of fluid or oil, and the discharge and is represented as r' = 1/2*((128*μ*Q*L)/(pi*ρ*[g]*h))^(1/4) or 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). The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Discharge in Capillary Tube is the rate of flow of a liquid, Length of Pipe 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 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.

How to calculate Radius of Capillary Tube?

The Radius of capillary tube formula is known while considering the density of oil or fluid, difference in pressure head for a length 'L', the viscosity of fluid or oil, and the discharge is calculated using 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). To calculate Radius of Capillary Tube, you need Viscosity of Fluid (μ), Discharge in Capillary Tube (Q), Length of Pipe (L), Density of Liquid (ρ) & Difference in Pressure Head (h). With our tool, you need to enter the respective value for Viscosity of Fluid, Discharge in Capillary Tube, Length of Pipe, Density of Liquid & Difference in Pressure 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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