Diameter of Pipe given Dynamic Viscosity with Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4)
Dpipe = (Q/((pi*γf*H))/(128*Lp*μviscosity))^(1/4)
This formula uses 1 Constants, 6 Variables
Constants Used
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.
Discharge in Laminar Flow - (Measured in Cubic Meter per Second) - Discharge in Laminar Flow is the fluid flowing per second through a channel or section of a pipe.
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.
Head of the Liquid - (Measured in Meter) - Head of the Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length 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.
STEP 1: Convert Input(s) to Base Unit
Discharge in Laminar Flow: 55 Cubic Meter per Second --> 55 Cubic Meter per Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Head of the Liquid: 926.7 Meter --> 926.7 Meter No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dpipe = (Q/((pi*γf*H))/(128*Lpviscosity))^(1/4) --> (55/((pi*9810*926.7))/(128*0.1*1.02))^(1/4)
Evaluating ... ...
Dpipe = 0.0195974076353132
STEP 3: Convert Result to Output's Unit
0.0195974076353132 Meter --> No Conversion Required
FINAL ANSWER
0.0195974076353132 0.019597 Meter <-- Diameter 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)

Diameter of Pipe given Dynamic Viscosity with Length Formula

Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4)
Dpipe = (Q/((pi*γf*H))/(128*Lp*μviscosity))^(1/4)

What is Dynamic Viscosity?

Dynamic viscosity is the resistance to movement of one layer of a fluid over another. The unit of dynamic viscosity is Pa s. Usually, it is measured in centipoise.

How to Calculate Diameter of Pipe given Dynamic Viscosity with Length?

Diameter of Pipe given Dynamic Viscosity with Length calculator uses Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4) to calculate the Diameter of Pipe, Diameter of Pipe given Dynamic Viscosity with length is defined as the diameter of a pipe is inversely proportional to dynamic viscosity and directly proportional to length, as described by Poiseuille's law for viscous flow. Diameter of Pipe is denoted by Dpipe symbol.

How to calculate Diameter of Pipe given Dynamic Viscosity with Length using this online calculator? To use this online calculator for Diameter of Pipe given Dynamic Viscosity with Length, enter Discharge in Laminar Flow (Q), Specific Weight of Liquid f), Head of the Liquid (H), Length of Pipe (Lp) & Dynamic Viscosity viscosity) and hit the calculate button. Here is how the Diameter of Pipe given Dynamic Viscosity with Length calculation can be explained with given input values -> 0.005535 = (55/((pi*9810*926.7))/(128*0.1*1.02))^(1/4).

FAQ

What is Diameter of Pipe given Dynamic Viscosity with Length?
Diameter of Pipe given Dynamic Viscosity with length is defined as the diameter of a pipe is inversely proportional to dynamic viscosity and directly proportional to length, as described by Poiseuille's law for viscous flow and is represented as Dpipe = (Q/((pi*γf*H))/(128*Lpviscosity))^(1/4) or Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4). Discharge in Laminar Flow is the fluid flowing per second through a channel or section of a pipe, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Head of the Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container, Length of Pipe describes the length of the pipe in which the liquid is flowing & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
How to calculate Diameter of Pipe given Dynamic Viscosity with Length?
Diameter of Pipe given Dynamic Viscosity with length is defined as the diameter of a pipe is inversely proportional to dynamic viscosity and directly proportional to length, as described by Poiseuille's law for viscous flow is calculated using Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4). To calculate Diameter of Pipe given Dynamic Viscosity with Length, you need Discharge in Laminar Flow (Q), Specific Weight of Liquid f), Head of the Liquid (H), Length of Pipe (Lp) & Dynamic Viscosity viscosity). With our tool, you need to enter the respective value for Discharge in Laminar Flow, Specific Weight of Liquid, Head of the Liquid, Length of Pipe & Dynamic 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 Diameter of Pipe?
In this formula, Diameter of Pipe uses Discharge in Laminar Flow, Specific Weight of Liquid, Head of the Liquid, Length of Pipe & Dynamic Viscosity. 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 = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4
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