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*rp^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: 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 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*rp^4)/(128*μ*L) --> (4*pi*997*[g]*10.21*0.2^4)/(128*8.23*3)
Evaluating ... ...
Q = 0.635097441344384
STEP 3: Convert Result to Output's Unit
0.635097441344384 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.635097441344384 0.635097 Cubic Meter per Second <-- Discharge in Capillary Tube
(Calculation completed in 00.004 seconds)

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21 Fluid Flow and Resistance Calculators

Total Torque Measured by Strain in Rotating Cylinder Method
Go Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance)
Angular Speed of Outer Cylinder in Rotating Cylinder Method
Go Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))
Discharge in Capillary Tube Method
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)
Rotational Speed for Torque Required in Collar Bearing
Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))
Torque Required to Overcome Viscous Resistance in Collar Bearing
Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film
Velocity of Piston or Body for Movement of Piston in Dash-Pot
Go Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid)
Shear Force or Viscous Resistance in Journal Bearing
Go Shear Force = (pi^2*Viscosity of Fluid*Mean Speed in RPM*Length of Pipe*Shaft Diameter^2)/(Thickness of Oil Film)
Speed of Rotation for Shear Force in Journal Bearing
Go Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)
Shear Stress in Fluid or Oil of Journal Bearing
Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)
Rotational Speed for Torque Required in Foot-Step Bearing
Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)
Torque Required to Overcome Viscous Resistance in Foot-Step Bearing
Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Thickness of Oil Film
Velocity of Sphere in Falling Sphere Resistance Method
Go Velocity of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Diameter of Sphere)
Drag Force in Falling Sphere Resistance Method
Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere
Density of Fluid in Falling Sphere Resistance Method
Go Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])
Buoyant Force in Falling Sphere Resistance Method
Go Buoyant Force = pi/6*Density of Liquid*[g]*Diameter of Sphere^3
Velocity at Any Radius given Radius of Pipe, and Maximum Velocity
Go Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2)
Maximum Velocity at any Radius using Velocity
Go Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2)
Rotational Speed considering Power Absorbed and Torque in Journal Bearing
Go Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)
Torque Required Considering Power Absorbed in Journal Bearing
Go Torque Exerted on Wheel = Power Absorbed/(2*pi*Mean Speed in RPM)
Shear Force for Torque and Diameter of Shaft in Journal Bearing
Go Shear Force = Torque Exerted on Wheel/(Shaft Diameter/2)
Torque Required to Overcome Shear Force in Journal Bearing
Go Torque Exerted on Wheel = Shear Force*Shaft Diameter/2

Discharge in Capillary Tube Method Formula

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*rp^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, The Discharge in capillary tube method formula is known while considering the density of oil or fluid, difference in pressure head for a length 'L', the diameter of the capillary tube, and the viscosity of oil or fluid. 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 (rp), 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 -> 248084.9 = (4*pi*997*[g]*10.21*0.2^4)/(128*8.23*3).

FAQ

What is Discharge in Capillary Tube Method?
The Discharge in capillary tube method formula is known while considering the density of oil or fluid, difference in pressure head for a length 'L', the diameter of the capillary tube, and the viscosity of oil or fluid and is represented as Q = (4*pi*ρ*[g]*h*rp^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?
The Discharge in capillary tube method formula is known while considering the density of oil or fluid, difference in pressure head for a length 'L', the diameter of the capillary tube, and the viscosity of oil or fluid 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 (rp), 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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