Radius of Capillary Tube Calculator

✖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' = \frac{1}{2} \cdot {(\frac{128 \cdot μ \cdot Q \cdot L}{π \cdot ρ \cdot [g] \cdot h})}^{\frac{1}{4}}

Example

0.20464 m = \frac{1}{2} \cdot {(\frac{128 \cdot 8.23 N*s/m² \cdot 2.75 m³/s \cdot 3 m}{π \cdot 984.6633 kg/m³ \cdot [g] \cdot 10.21 m})}^{\frac{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: 984.6633 Kilogram per Cubic Meter --> 984.6633 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*984.6633*[g]*10.21))^(1/4)

Evaluating ... ...

r' = 0.204639719694124

STEP 3: Convert Result to Output's Unit

0.204639719694124 Meter --> No Conversion Required

FINAL ANSWER

0.204639719694124 ≈ 0.20464 Meter <-- Radius of Capillary Tube

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Dimensions and Geometry » Radius of Capillary Tube

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute of Technology (IIT), Bombay

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< Dimensions and Geometry Calculators

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 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)

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, Radius of Capillary Tube typically refers to its internal radius, which can be calculated using the formula relating it to the surface tension of the liquid inside the tube, the contact angle between the liquid and the tube material, and the height of the liquid rise in the tube (if applicable). This calculation helps in understanding how capillary action behaves in the tube based on its dimensions and properties. 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*984.6633*[g]*10.21))^(1/4).

FAQ

What is Radius of Capillary Tube?

Radius of Capillary Tube typically refers to its internal radius, which can be calculated using the formula relating it to the surface tension of the liquid inside the tube, the contact angle between the liquid and the tube material, and the height of the liquid rise in the tube (if applicable). This calculation helps in understanding how capillary action behaves in the tube based on its dimensions and properties 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?

Radius of Capillary Tube typically refers to its internal radius, which can be calculated using the formula relating it to the surface tension of the liquid inside the tube, the contact angle between the liquid and the tube material, and the height of the liquid rise in the tube (if applicable). This calculation helps in understanding how capillary action behaves in the tube based on its dimensions and properties 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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