Discharge in Capillary Tube Method Calculator

✖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 Pipe typically refers to the distance from the center of the pipe to its outer surface.ⓘ Radius of Pipe [r_p]			+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 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%

✖Discharge in Capillary Tube is the rate of flow of a liquid.ⓘ Discharge in Capillary Tube Method [Q]

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Discharge in Capillary Tube Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Discharge in Capillary Tube - (Measured in Cubic Meter per Second) - Discharge in Capillary Tube is the rate of flow of a liquid.
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 of Pipe - (Measured in Meter) - Radius of Pipe typically refers to the distance from the center of the pipe to its outer surface.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
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.

STEP 1: Convert Input(s) to Base Unit

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
Radius of Pipe: 0.2 Meter --> 0.2 Meter No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (4*pi*ρ*[g]*h*r_p^4)/(128*μ*L) --> (4*pi*984.6633*[g]*10.21*0.2^4)/(128*8.23*3)

Evaluating ... ...

Q = 0.627238858992695

STEP 3: Convert Result to Output's Unit

0.627238858992695 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.627238858992695 ≈ 0.627239 Cubic Meter per Second <-- Discharge in Capillary Tube

(Calculation completed in 00.020 seconds)

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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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< Fluid Flow and Resistance Calculators

Discharge in Capillary Tube Method

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

Shear Force or Viscous Resistance in Journal Bearing

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

Shear Stress in Fluid or Oil of Journal Bearing

LaTeX Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)

Drag Force in Falling Sphere Resistance Method

LaTeX Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere

Discharge in Capillary Tube Method Formula

LaTeX Go

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

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 Discharge in Capillary Tube Method?

Discharge in Capillary Tube Method calculator uses Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe) to calculate the Discharge in Capillary Tube, Discharge in Capillary Tube Method, discharge refers to the volume of fluid flowing through the capillary tube per unit time. The discharge rate is used to calculate the viscosity of the fluid based on the flow rate, tube dimensions, and pressure difference. Discharge in Capillary Tube is denoted by Q symbol.

How to calculate Discharge in Capillary Tube Method using this online calculator? To use this online calculator for Discharge in Capillary Tube Method, enter Density of Liquid (ρ), Difference in Pressure Head (h), Radius of Pipe (r_p), Viscosity of Fluid (μ) & Length of Pipe (L) and hit the calculate button. Here is how the Discharge in Capillary Tube Method calculation can be explained with given input values -> 0.635097 = (4*pi*984.6633*[g]*10.21*0.2^4)/(128*8.23*3).

FAQ

What is Discharge in Capillary Tube Method?

Discharge in Capillary Tube Method, discharge refers to the volume of fluid flowing through the capillary tube per unit time. The discharge rate is used to calculate the viscosity of the fluid based on the flow rate, tube dimensions, and pressure difference and is represented as Q = (4*pi*ρ*[g]*h*r_p^4)/(128*μ*L) or Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe). 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 of Pipe typically refers to the distance from the center of the pipe to its outer surface, The Viscosity of fluid is a measure of its resistance to deformation at a given rate & 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.

How to calculate Discharge in Capillary Tube Method?

Discharge in Capillary Tube Method, discharge refers to the volume of fluid flowing through the capillary tube per unit time. The discharge rate is used to calculate the viscosity of the fluid based on the flow rate, tube dimensions, and pressure difference is calculated using Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe). To calculate Discharge in Capillary Tube Method, you need Density of Liquid (ρ), Difference in Pressure Head (h), Radius of Pipe (r_p), Viscosity of Fluid (μ) & Length of Pipe (L). With our tool, you need to enter the respective value for Density of Liquid, Difference in Pressure Head, Radius of Pipe, Viscosity of Fluid & Length of Pipe 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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