Diameter of Pipe using Dynamic Viscosity with Time Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖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.ⓘ Time in Seconds [t_sec]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Cross Sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.ⓘ Cross Sectional Area of Pipe [A]			+10% -10%
✖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.ⓘ Average Reservoir Area [A_R]			+10% -10%
✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖The Height of Column 1 refers to the length of the column1 measured from bottom to Top.ⓘ Height of Column 1 [h₁]			+10% -10%
✖The Height of Column 2 refers to the length of the column 2 measured from bottom to Top.ⓘ Height of Column 2 [h₂]			+10% -10%

✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe using Dynamic Viscosity with Time [D_pipe]

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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))))
D_pipe = sqrt(μ/((t_sec*γ_f*A)/(32*A_R*L_p*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) - 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.
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.
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.
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.
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.
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.
Height of Column 1 - (Measured in Meter) - The Height of Column 1 refers to the length of the column1 measured from bottom to Top.
Height of Column 2 - (Measured in Meter) - 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

Dynamic Viscosity: 10.2 Poise --> 10.2 Poise No Conversion Required
Time in Seconds: 110 Second --> 110 Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Cross Sectional Area of Pipe: 0.262 Square Meter --> 0.262 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

D_pipe = sqrt(μ/((t_sec*γ_f*A)/(32*A_R*L_p*ln(h₁/h₂)))) --> sqrt(10.2/((110*9.81*0.262)/(32*10*0.1*ln(0.1201/0.0501))))

Evaluating ... ...

D_pipe = 1.00467303578887

STEP 3: Convert Result to Output's Unit

1.00467303578887 Meter --> No Conversion Required

FINAL ANSWER

1.00467303578887 ≈ 1.004673 Meter <-- Diameter of Pipe

(Calculation completed in 00.021 seconds)

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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))

Diameter of Pipe using Dynamic Viscosity with Time Formula

LaTeX Go

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 formula is defined as the width of pipe used in measuring the flow or viscosity. Diameter of Pipe is denoted by D_pipe 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 (μ), Time in Seconds (t_sec), Specific Weight of Liquid (γ_f), Cross Sectional Area of Pipe (A), Average Reservoir Area (A_R), Length of Pipe (L_p), 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*0.262)/(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 formula is defined as the width of pipe used in measuring the flow or viscosity and is represented as D_pipe = sqrt(μ/((t_sec*γ_f*A)/(32*A_R*L_p*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 refers to the internal resistance of a fluid to flow when a force is applied, 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 Specific Weight of Liquid refers to the weight per unit volume of that substance, The Cross Sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing, 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 Length of Pipe refers to total length from one end to another in which the liquid is flowing, 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 Diameter of Pipe using Dynamic Viscosity with Time?

The Diameter of Pipe using Dynamic Viscosity with Time formula 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 (μ), Time in Seconds (t_sec), Specific Weight of Liquid (γ_f), Cross Sectional Area of Pipe (A), Average Reservoir Area (A_R), Length of Pipe (L_p), 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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