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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|dr0.5(R2-CHRuFluid)
μ - Dynamic Viscosity?dp|dr - Pressure Gradient?R - Horizontal Distance?CH - Hydraulic Clearance?uFluid - Fluid Velocity?

Dynamic Viscosity given Velocity of Fluid Example

With values
With units
Only example

Here is how the Dynamic Viscosity given Velocity of Fluid equation looks like with Values.

Here is how the Dynamic Viscosity given Velocity of Fluid equation looks like with Units.

Here is how the Dynamic Viscosity given Velocity of Fluid equation looks like.

0.455Edit=60Edit0.5(0.7Edit2-50Edit0.7Edit300Edit)
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Dynamic Viscosity given Velocity of Fluid Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Velocity of Fluid?

FIRST Step Consider the formula
μ=dp|dr0.5(R2-CHRuFluid)
Next Step Substitute values of Variables
μ=60N/m³0.5(0.7m2-50mm0.7m300m/s)
Next Step Convert Units
μ=60N/m³0.5(0.7m2-0.05m0.7m300m/s)
Next Step Prepare to Evaluate
μ=600.5(0.72-0.050.7300)
Next Step Evaluate
μ=0.0455Pa*s
LAST Step Convert to Output's Unit
μ=0.455P

Dynamic Viscosity given Velocity of Fluid 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.
Pressure Gradient
Pressure Gradient is the change in pressure with respect to radial distance of element.
Symbol: dp|dr
Measurement: Pressure GradientUnit: N/m³
Note: Value can be positive or negative.
Horizontal Distance
Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Symbol: R
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Hydraulic Clearance
Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.
Symbol: CH
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Fluid Velocity
The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s).
Symbol: uFluid
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.

Other Formulas to find Dynamic Viscosity

​Go Dynamic Viscosity for Pressure Drop over Length
μ=ΔPf(6vpistonLPCR3)(0.5D)
​Go Dynamic Viscosity given Shear Stress in Piston
μ=𝜏1.5DvpistonCHCH
​Go Dynamic Viscosity given velocity of piston
μ=FTotalπvpistonLP(0.75((DCR)3)+1.5((DCR)2))

Other formulas in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

​Go Velocity of Fluid
uOiltank=dp|dr0.5RR-CHRμ
​Go Pressure Gradient given Velocity of Fluid
dp|dr=uOiltank0.5RR-CHRμ
​Go Pressure Drop over Lengths of Piston
ΔPf=(6μvpistonLPCR3)(0.5D)
​Go Velocity of Piston for Pressure reduction over Length of Piston
vpiston=ΔPf(3μLPCR3)(D)

How to Evaluate Dynamic Viscosity given Velocity of Fluid?

Dynamic Viscosity given Velocity of Fluid evaluator uses Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given Velocity of Fluid formula is defined as the resistance offered by fluid in flow. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity given Velocity of Fluid using this online evaluator? To use this online evaluator for Dynamic Viscosity given Velocity of Fluid, enter Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (CH) & Fluid Velocity (uFluid) and hit the calculate button.

FAQs on Dynamic Viscosity given Velocity of Fluid

What is the formula to find Dynamic Viscosity given Velocity of Fluid?
The formula of Dynamic Viscosity given Velocity of Fluid is expressed as Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity). Here is an example- 4.55 = 60*0.5*((0.7^2-0.05*0.7)/300).
How to calculate Dynamic Viscosity given Velocity of Fluid?
With Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (CH) & Fluid Velocity (uFluid) we can find Dynamic Viscosity given Velocity of Fluid using the formula - Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity).
What are the other ways to Calculate Dynamic Viscosity?
Here are the different ways to Calculate Dynamic Viscosity-
  • Dynamic Viscosity=Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston))OpenImg
  • Dynamic Viscosity=Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))OpenImg
  • Dynamic Viscosity=Total Force in Piston/(pi*Velocity of Piston*Piston Length*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))OpenImg
Can the Dynamic Viscosity given Velocity of Fluid be negative?
No, the Dynamic Viscosity given Velocity of Fluid, measured in Dynamic Viscosity cannot be negative.
Which unit is used to measure Dynamic Viscosity given Velocity of Fluid?
Dynamic Viscosity given Velocity of Fluid 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 Velocity of Fluid can be measured.
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