Dynamic Viscosity given Pressure Gradient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity = Pressure Gradient*(Height^3)/(12*(0.5*Mean Velocity*Height-Discharge in pipe))
μviscosity = dp|dr*(h^3)/(12*(0.5*Vmean*h-Q))
This formula uses 5 Variables
Variables Used
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.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Height - (Measured in Meter) - Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Discharge in pipe - (Measured in Cubic Meter per Second) - Discharge in pipe is the rate of flow of a liquid.
STEP 1: Convert Input(s) to Base Unit
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Height: 1.81 Meter --> 1.81 Meter No Conversion Required
Mean Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Discharge in pipe: 1.000001 Cubic Meter per Second --> 1.000001 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μviscosity = dp|dr*(h^3)/(12*(0.5*Vmean*h-Q)) --> 17*(1.81^3)/(12*(0.5*10*1.81-1.000001))
Evaluating ... ...
μviscosity = 1.04353633046
STEP 3: Convert Result to Output's Unit
1.04353633046 Pascal Second -->10.4353633046 Poise (Check conversion here)
FINAL ANSWER
10.4353633046 10.43536 Poise <-- Dynamic Viscosity
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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3 Lubrication Mechanics - Slipper Bearing Calculators

Dynamic Viscosity given Pressure Gradient
Go Dynamic Viscosity = Pressure Gradient*(Height^3)/(12*(0.5*Mean Velocity*Height-Discharge in pipe))
Pressure Gradient
Go Pressure Gradient = (12*Dynamic Viscosity/(Height^3))*(0.5*Mean Velocity*Height-Discharge in pipe)
Rate of Flow given Pressure Gradient
Go Rate of Flow = 0.5*Mean Velocity*Height-(Pressure Gradient*(Height^3)/(12*Dynamic Viscosity))

Dynamic Viscosity given Pressure Gradient Formula

Dynamic Viscosity = Pressure Gradient*(Height^3)/(12*(0.5*Mean Velocity*Height-Discharge in pipe))
μviscosity = dp|dr*(h^3)/(12*(0.5*Vmean*h-Q))

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 Dynamic Viscosity given Pressure Gradient?

Dynamic Viscosity given Pressure Gradient calculator uses Dynamic Viscosity = Pressure Gradient*(Height^3)/(12*(0.5*Mean Velocity*Height-Discharge in pipe)) to calculate the Dynamic Viscosity, Dynamic Viscosity given Pressure Gradient is defined as the resistance offered by fluid in viscous medium. Dynamic Viscosity is denoted by μviscosity symbol.

How to calculate Dynamic Viscosity given Pressure Gradient using this online calculator? To use this online calculator for Dynamic Viscosity given Pressure Gradient, enter Pressure Gradient (dp|dr), Height (h), Mean Velocity (Vmean) & Discharge in pipe (Q) and hit the calculate button. Here is how the Dynamic Viscosity given Pressure Gradient calculation can be explained with given input values -> 104.3536 = 17*(1.81^3)/(12*(0.5*10*1.81-1.000001)).

FAQ

What is Dynamic Viscosity given Pressure Gradient?
Dynamic Viscosity given Pressure Gradient is defined as the resistance offered by fluid in viscous medium and is represented as μviscosity = dp|dr*(h^3)/(12*(0.5*Vmean*h-Q)) or Dynamic Viscosity = Pressure Gradient*(Height^3)/(12*(0.5*Mean Velocity*Height-Discharge in pipe)). Pressure Gradient is the change in pressure with respect to radial distance of element, Height is the distance between the lowest and highest points of a person/ shape/ object standing upright, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Discharge in pipe is the rate of flow of a liquid.
How to calculate Dynamic Viscosity given Pressure Gradient?
Dynamic Viscosity given Pressure Gradient is defined as the resistance offered by fluid in viscous medium is calculated using Dynamic Viscosity = Pressure Gradient*(Height^3)/(12*(0.5*Mean Velocity*Height-Discharge in pipe)). To calculate Dynamic Viscosity given Pressure Gradient, you need Pressure Gradient (dp|dr), Height (h), Mean Velocity (Vmean) & Discharge in pipe (Q). With our tool, you need to enter the respective value for Pressure Gradient, Height, Mean Velocity & Discharge in pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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