Length of Reservoir using Dynamic Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Lp = (tsec*A*γf*Dpipe)/(32*μ*AR*ln(h1/h2))
This formula uses 1 Functions, 9 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Length of Pipe - (Measured in Centimeter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
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.
Cross Sectional Area of Pipe - (Measured in Square Meter) - The Cross Sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Diameter of Pipe - (Measured in Centimeter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
Dynamic Viscosity - (Measured in Poise) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Average Reservoir Area - (Measured in Square Meter) - The Average Reservoir Area refers to the month is defined as the total area of the reservoir created using a dam to store fresh water.
Height of Column 1 - (Measured in Centimeter) - The Height of Column 1 refers to the length of the column1 measured from bottom to Top.
Height of Column 2 - (Measured in Centimeter) - The Height of Column 2 refers to the length of the column 2 measured from bottom to Top.
STEP 1: Convert Input(s) to Base Unit
Time in Seconds: 110 Second --> 110 Second No Conversion Required
Cross Sectional Area of Pipe: 0.262 Square Meter --> 0.262 Square Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Diameter of Pipe: 1.01 Meter --> 101 Centimeter (Check conversion ​here)
Dynamic Viscosity: 10.2 Poise --> 10.2 Poise No Conversion Required
Average Reservoir Area: 10 Square Meter --> 10 Square Meter No Conversion Required
Height of Column 1: 12.01 Centimeter --> 12.01 Centimeter No Conversion Required
Height of Column 2: 5.01 Centimeter --> 5.01 Centimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lp = (tsec*A*γf*Dpipe)/(32*μ*AR*ln(h1/h2)) --> (110*0.262*9.81*101)/(32*10.2*10*ln(12.01/5.01))
Evaluating ... ...
Lp = 10.0062622474248
STEP 3: Convert Result to Output's Unit
0.100062622474248 Meter --> No Conversion Required
FINAL ANSWER
0.100062622474248 0.100063 Meter <-- Length of Pipe
(Calculation completed in 00.020 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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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 Reservoir using Dynamic Viscosity Formula

​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))
Lp = (tsec*A*γf*Dpipe)/(32*μ*AR*ln(h1/h2))

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is.

How to Calculate Length of Reservoir using Dynamic Viscosity?

Length of Reservoir using Dynamic Viscosity calculator uses 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)) to calculate the Length of Pipe, The Length of Reservoir using Dynamic Viscosity formula is defined as the total length of big or storage tanks. Length of Pipe is denoted by Lp symbol.

How to calculate Length of Reservoir using Dynamic Viscosity using this online calculator? To use this online calculator for Length of Reservoir using Dynamic Viscosity, enter Time in Seconds (tsec), Cross Sectional Area of Pipe (A), Specific Weight of Liquid f), Diameter of Pipe (Dpipe), Dynamic Viscosity (μ), Average Reservoir Area (AR), Height of Column 1 (h1) & Height of Column 2 (h2) and hit the calculate button. Here is how the Length of Reservoir using Dynamic Viscosity calculation can be explained with given input values -> 1000.626 = (110*0.262*9810*1.01)/(32*1.02*10*ln(0.1201/0.0501)).

FAQ

What is Length of Reservoir using Dynamic Viscosity?
The Length of Reservoir using Dynamic Viscosity formula is defined as the total length of big or storage tanks and is represented as Lp = (tsec*A*γf*Dpipe)/(32*μ*AR*ln(h1/h2)) or 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)). 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 Cross Sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing, The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Average Reservoir Area refers to the month is defined as the total area of the reservoir created using a dam to store fresh water, The Height of Column 1 refers to the length of the column1 measured from bottom to Top & The Height of Column 2 refers to the length of the column 2 measured from bottom to Top.
How to calculate Length of Reservoir using Dynamic Viscosity?
The Length of Reservoir using Dynamic Viscosity formula is defined as the total length of big or storage tanks is calculated using 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)). To calculate Length of Reservoir using Dynamic Viscosity, you need Time in Seconds (tsec), Cross Sectional Area of Pipe (A), Specific Weight of Liquid f), Diameter of Pipe (Dpipe), Dynamic Viscosity (μ), Average Reservoir Area (AR), Height of Column 1 (h1) & Height of Column 2 (h2). With our tool, you need to enter the respective value for Time in Seconds, Cross Sectional Area of Pipe, Specific Weight of Liquid, Diameter of Pipe, Dynamic Viscosity, Average Reservoir Area, Height of Column 1 & Height of Column 2 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 Time in Seconds, Cross Sectional Area of Pipe, Specific Weight of Liquid, Diameter of Pipe, Dynamic Viscosity, Average Reservoir Area, Height of Column 1 & Height of Column 2. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Pipe = ([g]*Total Head*pi*Time in Seconds*(Pipe Diameter^4))/(128*Volume of Liquid*Kinematic Viscosity)
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