Diameter of Pipe given Kinematic Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Pipe = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4
Dpipe = ((υ/(([g]*Ht*pi*tsec))/(128*Lp*VT)))^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
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Kinematic Viscosity - (Measured in Square Meter per Second) - Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces.
Total Head - (Measured in Meter) - Total Head is the total equivalent height that a fluid is to be pumped, taking into account friction losses in the pipe.
Time in Seconds - (Measured in Second) - Time in Seconds is what a clock reads, it is a scalar quantity.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Volume of Liquid - (Measured in Cubic Meter) - Volume of Liquid is the amount of space that a substance or object occupies or that is enclosed within a container.
STEP 1: Convert Input(s) to Base Unit
Kinematic Viscosity: 15.1 Square Meter per Second --> 15.1 Square Meter per Second No Conversion Required
Total Head: 12.02 Centimeter --> 0.1202 Meter (Check conversion here)
Time in Seconds: 110 Second --> 110 Second No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Volume of Liquid: 4.1 Cubic Meter --> 4.1 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dpipe = ((υ/(([g]*Ht*pi*tsec))/(128*Lp*VT)))^1/4 --> ((15.1/(([g]*0.1202*pi*110))/(128*0.1*4.1)))^1/4
Evaluating ... ...
Dpipe = 0.000176585658211031
STEP 3: Convert Result to Output's Unit
0.000176585658211031 Meter --> No Conversion Required
FINAL ANSWER
0.000176585658211031 0.000177 Meter <-- Diameter of Pipe
(Calculation completed in 00.008 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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7 Capillary Tube Viscometer Calculators

Diameter of Pipe using Dynamic Viscosity with Time
Go Diameter of Pipe = sqrt(Dynamic Viscosity/((Time in Seconds*Specific Weight of Liquid*Cross Sectional Area of Pipe)/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2))))
Dynamic Viscosity of Fluids in Flow
Go Dynamic Viscosity = ((Time in Seconds*Cross Sectional Area of Pipe*Specific Weight of Liquid*(Diameter of Pipe^2))/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2)))
Length of Reservoir using Dynamic Viscosity
Go Length of Pipe = (Time in Seconds*Cross Sectional Area of Pipe*Specific Weight of Liquid*(Diameter of Pipe^2))/(32*Dynamic Viscosity*Average Reservoir Area*ln(Height of Column 1/Height of Column 2))
Cross Sectional Area of Tube using Dynamic Viscosity
Go Cross Sectional Area of Pipe = Dynamic Viscosity/((Time in Seconds*Specific Weight of Liquid*Diameter of Pipe)/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2)))
Diameter of Pipe given Kinematic Viscosity
Go Diameter of Pipe = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4
Length of Pipe given Kinematic Viscosity
Go Length of Pipe = ([g]*Total Head*pi*Time in Seconds*(Pipe Diameter^4))/(128*Volume of Liquid*Kinematic Viscosity)
Diameter of Pipe given Dynamic Viscosity with Length
Go Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4)

Diameter of Pipe given Kinematic Viscosity Formula

Diameter of Pipe = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4
Dpipe = ((υ/(([g]*Ht*pi*tsec))/(128*Lp*VT)))^1/4

What is Kinematic Viscosity?

Kinematic viscosity is a measure of a fluid's internal resistance to flow under gravitational forces. Viscosity can be measured and reported as dynamic (absolute) viscosity or as kinematic viscosity.

How to Calculate Diameter of Pipe given Kinematic Viscosity?

Diameter of Pipe given Kinematic Viscosity calculator uses Diameter of Pipe = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4 to calculate the Diameter of Pipe, The Diameter of Pipe given Kinematic Viscosity is defined as the width of section at a point in the study. Diameter of Pipe is denoted by Dpipe symbol.

How to calculate Diameter of Pipe given Kinematic Viscosity using this online calculator? To use this online calculator for Diameter of Pipe given Kinematic Viscosity, enter Kinematic Viscosity (υ), Total Head (Ht), Time in Seconds (tsec), Length of Pipe (Lp) & Volume of Liquid (VT) and hit the calculate button. Here is how the Diameter of Pipe given Kinematic Viscosity calculation can be explained with given input values -> 0.000177 = ((15.1/(([g]*0.1202*pi*110))/(128*0.1*4.1)))^1/4.

FAQ

What is Diameter of Pipe given Kinematic Viscosity?
The Diameter of Pipe given Kinematic Viscosity is defined as the width of section at a point in the study and is represented as Dpipe = ((υ/(([g]*Ht*pi*tsec))/(128*Lp*VT)))^1/4 or Diameter of Pipe = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4. Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces, Total Head is the total equivalent height that a fluid is to be pumped, taking into account friction losses in the pipe, Time in Seconds is what a clock reads, it is a scalar quantity, Length of Pipe describes the length of the pipe in which the liquid is flowing & Volume of Liquid is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Diameter of Pipe given Kinematic Viscosity?
The Diameter of Pipe given Kinematic Viscosity is defined as the width of section at a point in the study is calculated using Diameter of Pipe = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4. To calculate Diameter of Pipe given Kinematic Viscosity, you need Kinematic Viscosity (υ), Total Head (Ht), Time in Seconds (tsec), Length of Pipe (Lp) & Volume of Liquid (VT). With our tool, you need to enter the respective value for Kinematic Viscosity, Total Head, Time in Seconds, Length of Pipe & Volume of Liquid 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 Diameter of Pipe?
In this formula, Diameter of Pipe uses Kinematic Viscosity, Total Head, Time in Seconds, Length of Pipe & Volume of Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Pipe = sqrt(Dynamic Viscosity/((Time in Seconds*Specific Weight of Liquid*Cross Sectional Area of Pipe)/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2))))
  • Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4)
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