Length of Reservoir using Dynamic Viscosity Calculator

✖Time in Seconds is what a clock reads, it is a scalar quantity.ⓘ Time in Seconds [t_sec]			+10% -10%
✖Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.ⓘ Cross Sectional Area of Pipe [A]			+10% -10%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Average Reservoir Area during 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%
✖Height of column 1 is the length of the column1 measured from bottom to Top.ⓘ Height of Column 1 [h₁]			+10% -10%
✖Height of column 2 is the length of the column2 measured from bottom to Top.ⓘ Height of Column 2 [h₂]			+10% -10%

✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Reservoir using Dynamic Viscosity [L_p]

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Formula

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Length of Reservoir using Dynamic Viscosity

Formula

`"L"_{"p"} = ("t"_{"sec"}*"A"*"γ"_{"f"}*("D"_{"pipe"}^2))/(32*"μ"_{"viscosity"}*"A"_{"R"}*ln("h"_{"1"}/"h"_{"2"}))`

Example

`"7714.752m"=("110s"*"2m²"*"9.81kN/m³"*(("1.01m")^2))/(32*"10.2P"*"10m²"*ln("12.01cm"/"5.01cm"))`

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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^2))/(32*Dynamic Viscosity*Average Reservoir Area*ln(Height of Column 1/Height of Column 2))
L_p = (t_sec*A*γ_f*(D_pipe^2))/(32*μ_viscosity*A_R*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 Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Time in Seconds - (Measured in Second) - Time in Seconds is what a clock reads, it is a scalar quantity.
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.
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.
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.
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.
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

Time in Seconds: 110 Second --> 110 Second No Conversion Required
Cross Sectional Area of Pipe: 2 Square Meter --> 2 Square Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Average Reservoir Area: 10 Square Meter --> 10 Square 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

L_p = (t_sec*A*γ_f*(D_pipe^2))/(32*μ_viscosity*A_R*ln(h₁/h₂)) --> (110*2*9810*(1.01^2))/(32*1.02*10*ln(0.1201/0.0501))

Evaluating ... ...

L_p = 7714.75180908323

STEP 3: Convert Result to Output's Unit

7714.75180908323 Meter --> No Conversion Required

FINAL ANSWER

7714.75180908323 ≈ 7714.752 Meter <-- Length of Pipe

(Calculation completed in 00.008 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Measurement of Viscosity Viscometers » Capillary Tube Viscometer » Length of Reservoir using Dynamic Viscosity

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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)

Length of Reservoir using Dynamic Viscosity Formula

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^2))/(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 L_p 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 (t_sec), Cross Sectional Area of Pipe (A), Specific Weight of Liquid (γ_f), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ_viscosity), Average Reservoir Area (A_R), 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 -> 7714.752 = (110*2*9810*(1.01^2))/(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 L_p = (t_sec*A*γ_f*(D_pipe^2))/(32*μ_viscosity*A_R*ln(h₁/h₂)) or 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)). Time in Seconds is what a clock reads, it is a scalar quantity, Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Diameter of Pipe is the diameter 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, Average Reservoir Area during the month is defined as the total area of the reservoir created using a dam to store fresh water, 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 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^2))/(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 (t_sec), Cross Sectional Area of Pipe (A), Specific Weight of Liquid (γ_f), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ_viscosity), Average Reservoir Area (A_R), 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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