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: 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: 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*984.6633*[g]*10.21*5^4)/(128*2.75*8.23)
Evaluating ... ...
L' = 267289.286502569
STEP 3: Convert Result to Output's Unit
267289.286502569 Meter --> No Conversion Required
FINAL ANSWER
267289.286502569 267289.3 Meter <-- Length of Tube
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
Shikha Maurya has verified this Calculator and 200+ more calculators!

Dimensions and Geometry Calculators

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

Length of Tube in Capillary Tube Method Formula

​LaTeX ​Go
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, Length of Tube in Capillary Tube Method Length of Tube in Capillary Tube Method used in various scientific measurements, especially in experiments involving liquids and gases. This length is crucial as it affects factors like surface tension and capillary action. 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*984.6633*[g]*10.21*5^4)/(128*2.75*8.23).

FAQ

What is Length of Tube in Capillary Tube Method?
Length of Tube in Capillary Tube Method Length of Tube in Capillary Tube Method used in various scientific measurements, especially in experiments involving liquids and gases. This length is crucial as it affects factors like surface tension and capillary action 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?
Length of Tube in Capillary Tube Method Length of Tube in Capillary Tube Method used in various scientific measurements, especially in experiments involving liquids and gases. This length is crucial as it affects factors like surface tension and capillary action 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!