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Dynamic Viscosity given Pressure Gradient Formula

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The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. Check FAQs

μ = dp|dr \cdot \frac{h^{3}}{12 \cdot (0.5 \cdot V mean \cdot h - Q)}

μ - Dynamic Viscosity?dp|dr - Pressure Gradient?h - Height of Channel?V_mean - Mean Velocity?Q - Discharge in Pipe?

Dynamic Viscosity given Pressure Gradient Example

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Here is how the Dynamic Viscosity given Pressure Gradient equation looks like with Values.

Here is how the Dynamic Viscosity given Pressure Gradient equation looks like with Units.

Here is how the Dynamic Viscosity given Pressure Gradient equation looks like.

10.4354 = 17 \cdot \frac{{1.81}^{3}}{12 \cdot (0.5 \cdot 10 \cdot 1.81 - 1)}

10.4354P = 17N/m³ \cdot \frac{{1.81m}^{3}}{12 \cdot (0.5 \cdot 10m/s \cdot 1.81m - 1m³/s)}

10.4354 = 17 \cdot \frac{{1.81}^{3}}{12 \cdot (0.5 \cdot 10 \cdot 1.81 - 1)}

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Dynamic Viscosity given Pressure Gradient Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Pressure Gradient?

FIRST Step Consider the formula

μ = dp|dr \cdot \frac{h^{3}}{12 \cdot (0.5 \cdot V mean \cdot h - Q)}

Next Step Substitute values of Variables

∴

μ = 17N/m³ \cdot \frac{{1.81m}^{3}}{12 \cdot (0.5 \cdot 10m/s \cdot 1.81m - 1m³/s)}

Next Step Prepare to Evaluate

∴

μ = 17 \cdot \frac{{1.81}^{3}}{12 \cdot (0.5 \cdot 10 \cdot 1.81 - 1)}

Next Step Evaluate

∴

μ = 1.04353633046Pa*s

Next Step Convert to Output's Unit

∴

μ = 10.4353633046P

LAST Step Rounding Answer

∴

μ = 10.4354P

Dynamic Viscosity given Pressure Gradient Formula Elements

Variables

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Pressure Gradient

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.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Height of Channel

The Height of Channel refers to the flow depth or water level within the channel. Height refers to the flow depth or water level within the channel.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Channel

Mean Velocity

The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Discharge in Pipe

The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Pipe

Other formulas in Lubrication Mechanics Slipper Bearing category

Go Pressure Gradient

dp|dr = (12 \cdot \frac{μ}{h^{3}}) \cdot (0.5 \cdot V mean \cdot h - Q)

Go Rate of Flow given Pressure Gradient

Q = 0.5 \cdot V mean \cdot h - (dp|dr \cdot \frac{h^{3}}{12 \cdot μ})

How to Evaluate Dynamic Viscosity given Pressure Gradient?

Dynamic Viscosity given Pressure Gradient evaluator uses Dynamic Viscosity = Pressure Gradient*(Height of Channel^3)/(12*(0.5*Mean Velocity*Height of Channel-Discharge in Pipe)) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given Pressure Gradient formula is defined as the resistance offered by fluid in viscous medium which is directly proportional to the pressure gradient and the fourth power of the pipe radius, and inversely proportional to the flow rate and the pipe length. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity given Pressure Gradient using this online evaluator? To use this online evaluator for Dynamic Viscosity given Pressure Gradient, enter Pressure Gradient (dp|dr), Height of Channel (h), Mean Velocity (V_mean) & Discharge in Pipe (Q) and hit the calculate button.

FAQs on Dynamic Viscosity given Pressure Gradient

What is the formula to find Dynamic Viscosity given Pressure Gradient?

The formula of Dynamic Viscosity given Pressure Gradient is expressed as Dynamic Viscosity = Pressure Gradient*(Height of Channel^3)/(12*(0.5*Mean Velocity*Height of Channel-Discharge in Pipe)). Here is an example- 104.3536 = 17*(1.81^3)/(12*(0.5*10*1.81-1.000001)).

How to calculate Dynamic Viscosity given Pressure Gradient?

With Pressure Gradient (dp|dr), Height of Channel (h), Mean Velocity (V_mean) & Discharge in Pipe (Q) we can find Dynamic Viscosity given Pressure Gradient using the formula - Dynamic Viscosity = Pressure Gradient*(Height of Channel^3)/(12*(0.5*Mean Velocity*Height of Channel-Discharge in Pipe)).

Can the Dynamic Viscosity given Pressure Gradient be negative?

No, the Dynamic Viscosity given Pressure Gradient, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity given Pressure Gradient?

Dynamic Viscosity given Pressure Gradient is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Dynamic Viscosity given Pressure Gradient can be measured.

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Dynamic Viscosity given Pressure Gradient Formula

Dynamic Viscosity given Pressure Gradient Example

Dynamic Viscosity given Pressure Gradient Solution

Dynamic Viscosity given Pressure Gradient Formula Elements

Other formulas in Lubrication Mechanics Slipper Bearing category

How to Evaluate Dynamic Viscosity given Pressure Gradient?

FAQs on Dynamic Viscosity given Pressure Gradient

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