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) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Total Head - (Measured in Meter) - The Total Head refers to 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) - The Time in Seconds refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present and into the future.
Pipe Diameter - (Measured in Meter) - The Pipe Diameter refers to the diameter of the pipe in which the liquid is flowing.
Volume of Liquid - (Measured in Cubic Meter) - The Volume of Liquid refers to 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) - The Kinematic Viscosity refers to the 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)

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

Diameter of Pipe using Dynamic Viscosity with Time
​ LaTeX ​ 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))))
Cross-Sectional Area of Tube using Dynamic Viscosity
​ LaTeX ​ 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)))
Dynamic Viscosity of Fluids in Flow
​ LaTeX ​ Go Dynamic Viscosity = ((Time in Seconds*Cross Sectional Area of Pipe*Specific Weight of Liquid*Diameter of Pipe)/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2)))
Length of Reservoir using Dynamic Viscosity
​ LaTeX ​ Go Length of Pipe = (Time in Seconds*Cross Sectional Area of Pipe*Specific Weight of Liquid*Diameter of Pipe)/(32*Dynamic Viscosity*Average Reservoir Area*ln(Height of Column 1/Height of Column 2))

Length of Pipe given Kinematic Viscosity Formula

​LaTeX ​Go
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 formula 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 formula 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). The Total Head refers to the total equivalent height that a fluid is to be pumped, taking into account friction losses in the pipe, The Time in Seconds refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present and into the future, The Pipe Diameter refers to the diameter of the pipe in which the liquid is flowing, The Volume of Liquid refers to the amount of space that a substance or object occupies or that is enclosed within a container & The Kinematic Viscosity refers to the 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 formula 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)/(32*Dynamic Viscosity*Average Reservoir Area*ln(Height of Column 1/Height of Column 2))
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