Diameter of Pipe using Dynamic Viscosity with Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))))
Dpipe = sqrt(μviscosity/((tsec*γf*A)/(32*AR*Lp*ln(h1/h2))))
This formula uses 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Time in Seconds - (Measured in Second) - Time in Seconds is what a clock reads, it is a scalar quantity.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Cross Sectional Area of Pipe - (Measured in Square Meter) - Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.
Average Reservoir Area - (Measured in Square Meter) - Average Reservoir Area during the month is defined as the total area of the reservoir created using a dam to store fresh water.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Height of Column 1 - (Measured in Meter) - Height of column 1 is the length of the column1 measured from bottom to Top.
Height of Column 2 - (Measured in Meter) - Height of column 2 is the length of the column2 measured from bottom to Top.
STEP 1: Convert Input(s) to Base Unit
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Time in Seconds: 110 Second --> 110 Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Cross Sectional Area of Pipe: 2 Square Meter --> 2 Square Meter No Conversion Required
Average Reservoir Area: 10 Square Meter --> 10 Square Meter No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Height of Column 1: 12.01 Centimeter --> 0.1201 Meter (Check conversion here)
Height of Column 2: 5.01 Centimeter --> 0.0501 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dpipe = sqrt(μviscosity/((tsecf*A)/(32*AR*Lp*ln(h1/h2)))) --> sqrt(1.02/((110*9810*2)/(32*10*0.1*ln(0.1201/0.0501))))
Evaluating ... ...
Dpipe = 0.00363630576352154
STEP 3: Convert Result to Output's Unit
0.00363630576352154 Meter --> No Conversion Required
FINAL ANSWER
0.00363630576352154 0.003636 Meter <-- Diameter of Pipe
(Calculation completed in 00.020 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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National Institute of Technology (NIT), Warangal
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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 using Dynamic Viscosity with Time Formula

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))))
Dpipe = sqrt(μviscosity/((tsec*γf*A)/(32*AR*Lp*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 Diameter of Pipe using Dynamic Viscosity with Time?

Diameter of Pipe using Dynamic Viscosity with Time calculator uses 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)))) to calculate the Diameter of Pipe, The Diameter of Pipe using Dynamic Viscosity with time is defined as the width of pipe used in measuring the flow or viscosity. Diameter of Pipe is denoted by Dpipe symbol.

How to calculate Diameter of Pipe using Dynamic Viscosity with Time using this online calculator? To use this online calculator for Diameter of Pipe using Dynamic Viscosity with Time, enter Dynamic Viscosity viscosity), Time in Seconds (tsec), Specific Weight of Liquid f), Cross Sectional Area of Pipe (A), Average Reservoir Area (AR), Length of Pipe (Lp), Height of Column 1 (h1) & Height of Column 2 (h2) and hit the calculate button. Here is how the Diameter of Pipe using Dynamic Viscosity with Time calculation can be explained with given input values -> 0.003636 = sqrt(1.02/((110*9810*2)/(32*10*0.1*ln(0.1201/0.0501)))).

FAQ

What is Diameter of Pipe using Dynamic Viscosity with Time?
The Diameter of Pipe using Dynamic Viscosity with time is defined as the width of pipe used in measuring the flow or viscosity and is represented as Dpipe = sqrt(μviscosity/((tsecf*A)/(32*AR*Lp*ln(h1/h2)))) or 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)))). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Time in Seconds is what a clock reads, it is a scalar quantity, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing, Average Reservoir Area during the month is defined as the total area of the reservoir created using a dam to store fresh water, Length of Pipe describes the length of the pipe in which the liquid is flowing, Height of column 1 is the length of the column1 measured from bottom to Top & Height of column 2 is the length of the column2 measured from bottom to Top.
How to calculate Diameter of Pipe using Dynamic Viscosity with Time?
The Diameter of Pipe using Dynamic Viscosity with time is defined as the width of pipe used in measuring the flow or viscosity is calculated using 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)))). To calculate Diameter of Pipe using Dynamic Viscosity with Time, you need Dynamic Viscosity viscosity), Time in Seconds (tsec), Specific Weight of Liquid f), Cross Sectional Area of Pipe (A), Average Reservoir Area (AR), Length of Pipe (Lp), Height of Column 1 (h1) & Height of Column 2 (h2). With our tool, you need to enter the respective value for Dynamic Viscosity, Time in Seconds, Specific Weight of Liquid, Cross Sectional Area of Pipe, Average Reservoir Area, Length of Pipe, 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 Diameter of Pipe?
In this formula, Diameter of Pipe uses Dynamic Viscosity, Time in Seconds, Specific Weight of Liquid, Cross Sectional Area of Pipe, Average Reservoir Area, Length of Pipe, Height of Column 1 & Height of Column 2. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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 = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4
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