Length of Pipe given Kinematic Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = ([g]*Total Head*pi*Time in Seconds*(Pipe Diameter^4))/(128*Volume of Liquid*Kinematic Viscosity)
Lp = ([g]*Ht*pi*tsec*(dpipe^4))/(128*VT*υ)
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 Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
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.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter 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.
Kinematic Viscosity - (Measured in Square Meter per Second) - Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces.
STEP 1: Convert Input(s) to Base Unit
Total Head: 12.02 Centimeter --> 0.1202 Meter (Check conversion here)
Time in Seconds: 110 Second --> 110 Second No Conversion Required
Pipe Diameter: 1.01 Meter --> 1.01 Meter No Conversion Required
Volume of Liquid: 4.1 Cubic Meter --> 4.1 Cubic Meter No Conversion Required
Kinematic Viscosity: 15.1 Square Meter per Second --> 15.1 Square Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lp = ([g]*Ht*pi*tsec*(dpipe^4))/(128*VT*υ) --> ([g]*0.1202*pi*110*(1.01^4))/(128*4.1*15.1)
Evaluating ... ...
Lp = 0.0534912100720244
STEP 3: Convert Result to Output's Unit
0.0534912100720244 Meter --> No Conversion Required
FINAL ANSWER
0.0534912100720244 0.053491 Meter <-- Length of Pipe
(Calculation completed in 00.004 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)

Length of Pipe given Kinematic Viscosity Formula

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

What is Kinematic Viscosity?

The kinematic viscosity [m2/s] is the ratio between the dynamic viscosity [Pa. s = 1 kg/ms] and the density of a fluid [kg/m3]. The SI unit of the kinematic viscosity is m2/s. Other units are: 1 St (Stoke) = 1 cm2/s = 10−4 m2/s.

How to Calculate Length of Pipe given Kinematic Viscosity?

Length of Pipe given Kinematic Viscosity calculator uses Length of Pipe = ([g]*Total Head*pi*Time in Seconds*(Pipe Diameter^4))/(128*Volume of Liquid*Kinematic Viscosity) to calculate the Length of Pipe, The Length of Pipe given Kinematic Viscosity is defined as the total length of flow in overall study of flow. Length of Pipe is denoted by Lp symbol.

How to calculate Length of Pipe given Kinematic Viscosity using this online calculator? To use this online calculator for Length of Pipe given Kinematic Viscosity, enter Total Head (Ht), Time in Seconds (tsec), Pipe Diameter (dpipe), Volume of Liquid (VT) & Kinematic Viscosity (υ) and hit the calculate button. Here is how the Length of Pipe given Kinematic Viscosity calculation can be explained with given input values -> 0.053491 = ([g]*0.1202*pi*110*(1.01^4))/(128*4.1*15.1).

FAQ

What is Length of Pipe given Kinematic Viscosity?
The Length of Pipe given Kinematic Viscosity is defined as the total length of flow in overall study of flow and is represented as Lp = ([g]*Ht*pi*tsec*(dpipe^4))/(128*VT*υ) or Length of Pipe = ([g]*Total Head*pi*Time in Seconds*(Pipe Diameter^4))/(128*Volume of Liquid*Kinematic Viscosity). 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, Pipe Diameter is the diameter 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 & Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces.
How to calculate Length of Pipe given Kinematic Viscosity?
The Length of Pipe given Kinematic Viscosity is defined as the total length of flow in overall study of flow is calculated using Length of Pipe = ([g]*Total Head*pi*Time in Seconds*(Pipe Diameter^4))/(128*Volume of Liquid*Kinematic Viscosity). To calculate Length of Pipe given Kinematic Viscosity, you need Total Head (Ht), Time in Seconds (tsec), Pipe Diameter (dpipe), Volume of Liquid (VT) & Kinematic Viscosity (υ). With our tool, you need to enter the respective value for Total Head, Time in Seconds, Pipe Diameter, Volume of Liquid & Kinematic Viscosity 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 Length of Pipe?
In this formula, Length of Pipe uses Total Head, Time in Seconds, Pipe Diameter, Volume of Liquid & Kinematic Viscosity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))
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