Viscosity of Fluid or Oil for Capillary Tube Method Calculator

✖Liquid Density is mass per unit volume of the liquid.ⓘ Liquid Density [ρ_l]			+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 is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+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%

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid or Oil for Capillary Tube Method [μ]

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Formula

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Viscosity of Fluid or Oil for Capillary Tube Method

Formula

μ = \frac{π \cdot ρ l \cdot [g] \cdot h \cdot 4 \cdot r^{4}}{128 \cdot Q \cdot L}

Example

3157.463 N*s/m² = \frac{π \cdot 4.24 kg/m³ \cdot [g] \cdot 10.21 m \cdot 4 \cdot {5 m}^{4}}{128 \cdot 2.75 m³/s \cdot 3 m}

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Viscosity of Fluid or Oil for Capillary Tube Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
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.
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

Liquid Density: 4.24 Kilogram per Cubic Meter --> 4.24 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
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (pi*ρ_l*[g]*h*4*r^4)/(128*Q*L) --> (pi*4.24*[g]*10.21*4*5^4)/(128*2.75*3)

Evaluating ... ...

μ = 3157.46276260608

STEP 3: Convert Result to Output's Unit

3157.46276260608 Pascal Second -->3157.46276260608 Newton Second per Square Meter (Check conversion here)

FINAL ANSWER

3157.46276260608 ≈ 3157.463 Newton Second per Square Meter <-- Viscosity of Fluid

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Flow Analysis » Viscosity of Fluid or Oil for Capillary Tube Method

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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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< Flow Analysis Calculators

Loss of Pressure Head for Viscous Flow between Two Parallel Plates

Go Loss of Peizometric Head = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Thickness of Oil Film^2)

Loss of Pressure Head for Viscous Flow through Circular Pipe

Go Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)

Difference of Pressure for Viscous Flow between Two Parallel Plates

Go Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)

Difference of Pressure for Viscous or Laminar Flow

Go Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)

Viscosity of Fluid or Oil for Capillary Tube Method Formula

Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe)
μ = (pi*ρ_l*[g]*h*4*r^4)/(128*Q*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 Viscosity of Fluid or Oil for Capillary Tube Method?

Viscosity of Fluid or Oil for Capillary Tube Method calculator uses Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe) to calculate the Viscosity of Fluid, Viscosity of Fluid or Oil for Capillary Tube Method depends on the pressure difference across the tube, the flow rate of the fluid, the length and radius of the capillary tube, and the time taken for a known volume of fluid to flow through the tube. Viscosity is directly proportional to the pressure difference and the time taken for a given volume to flow, and inversely proportional to the flow rate and the fourth power of the tube radius. Viscosity of Fluid is denoted by μ symbol.

How to calculate Viscosity of Fluid or Oil for Capillary Tube Method using this online calculator? To use this online calculator for Viscosity of Fluid or Oil for Capillary Tube Method, enter Liquid Density (ρ_l), Difference in Pressure Head (h), Radius (r), Discharge in Capillary Tube (Q) & Length of Pipe (L) and hit the calculate button. Here is how the Viscosity of Fluid or Oil for Capillary Tube Method calculation can be explained with given input values -> 3157.463 = (pi*4.24*[g]*10.21*4*5^4)/(128*2.75*3).

FAQ

What is Viscosity of Fluid or Oil for Capillary Tube Method?

Viscosity of Fluid or Oil for Capillary Tube Method depends on the pressure difference across the tube, the flow rate of the fluid, the length and radius of the capillary tube, and the time taken for a known volume of fluid to flow through the tube. Viscosity is directly proportional to the pressure difference and the time taken for a given volume to flow, and inversely proportional to the flow rate and the fourth power of the tube radius and is represented as μ = (pi*ρ_l*[g]*h*4*r^4)/(128*Q*L) or Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe). Liquid Density is mass per unit volume of the liquid, 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 & 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 Viscosity of Fluid or Oil for Capillary Tube Method?

Viscosity of Fluid or Oil for Capillary Tube Method depends on the pressure difference across the tube, the flow rate of the fluid, the length and radius of the capillary tube, and the time taken for a known volume of fluid to flow through the tube. Viscosity is directly proportional to the pressure difference and the time taken for a given volume to flow, and inversely proportional to the flow rate and the fourth power of the tube radius is calculated using Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe). To calculate Viscosity of Fluid or Oil for Capillary Tube Method, you need Liquid Density (ρ_l), Difference in Pressure Head (h), Radius (r), Discharge in Capillary Tube (Q) & Length of Pipe (L). With our tool, you need to enter the respective value for Liquid Density, Difference in Pressure Head, Radius, Discharge in Capillary Tube & Length of Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Viscosity of Fluid?

In this formula, Viscosity of Fluid uses Liquid Density, Difference in Pressure Head, Radius, Discharge in Capillary Tube & Length of Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -

Viscosity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Velocity of Fluid)
Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)
Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(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)))

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