Discharge given Viscosity Calculator

✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%

✖The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.ⓘ Discharge given Viscosity [Q]

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Discharge given Viscosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity)
Q = dp|dr*(w^3)/(12*μ)
This formula uses 4 Variables

Variables Used

Discharge in Laminar Flow - (Measured in Cubic Meter per Second) - The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

STEP 1: Convert Input(s) to Base Unit

Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Width: 3 Meter --> 3 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

Q = dp|dr*(w^3)/(12*μ) --> 17*(3^3)/(12*1.02)

Evaluating ... ...

Q = 37.5

STEP 3: Convert Result to Output's Unit

37.5 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

37.5 Cubic Meter per Second <-- Discharge in Laminar Flow

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Laminar Flow between Parallel Plates, both Plates at Rest Calculators

Velocity Distribution Profile

LaTeX Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))

Distance between Plates using Velocity Distribution Profile

LaTeX Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance

Distance between Plates given Maximum Velocity between Plates

LaTeX Go Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))

Maximum Velocity between Plates

LaTeX Go Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)

Discharge given Viscosity Formula

LaTeX Go

Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity)
Q = dp|dr*(w^3)/(12*μ)

What is Rate of Flow?

Rate of flow may refer to: Mass flow rate, the movement of mass per time. Volumetric flow rate, the volume of a fluid which passes through a given surface per unit of time. Heat flow rate, the movement of heat per time.

How to Calculate Discharge given Viscosity?

Discharge given Viscosity calculator uses Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity) to calculate the Discharge in Laminar Flow, The Discharge given Viscosity is given is defined as the amount of fluid carrying through the between the pipes in the flow stream measured at a section. Discharge in Laminar Flow is denoted by Q symbol.

How to calculate Discharge given Viscosity using this online calculator? To use this online calculator for Discharge given Viscosity, enter Pressure Gradient (dp|dr), Width (w) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Discharge given Viscosity calculation can be explained with given input values -> 37.5 = 17*(3^3)/(12*1.02).

FAQ

What is Discharge given Viscosity?

The Discharge given Viscosity is given is defined as the amount of fluid carrying through the between the pipes in the flow stream measured at a section and is represented as Q = dp|dr*(w^3)/(12*μ) or Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity). The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location, Width is the measurement or extent of something from side to side & The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

How to calculate Discharge given Viscosity?

The Discharge given Viscosity is given is defined as the amount of fluid carrying through the between the pipes in the flow stream measured at a section is calculated using Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity). To calculate Discharge given Viscosity, you need Pressure Gradient (dp|dr), Width (w) & Dynamic Viscosity (μ). With our tool, you need to enter the respective value for Pressure Gradient, Width & 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 Discharge in Laminar Flow?

In this formula, Discharge in Laminar Flow uses Pressure Gradient, Width & Dynamic Viscosity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Discharge in Laminar Flow = Width*Mean Velocity

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