Dynamic Viscosity given Velocity of Fluid Calculator

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.ⓘ Hydraulic Clearance [C_H]			+10% -10%
✖Fluid Velocity in Pipe is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity in Pipe [u_Fluid]			+10% -10%

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity given Velocity of Fluid [μ_viscosity]

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Formula

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Dynamic Viscosity given Velocity of Fluid

Formula

`"μ"_{"viscosity"} = "dp|dr"*0.5*(("R"^2-"C"_{"H"}*"R")/"u"_{"Fluid"})`

Example

`"0.455P"="60N/m³"*0.5*((("0.7m")^2-"50mm"*"0.7m")/"300m/s")`

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Dynamic Viscosity given Velocity of Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity in Pipe)
μ_viscosity = dp|dr*0.5*((R^2-C_H*R)/u_Fluid)
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.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Hydraulic Clearance - (Measured in Meter) - Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.
Fluid Velocity in Pipe - (Measured in Meter per Second) - Fluid Velocity in Pipe is the volume of fluid flowing in the given vessel per unit cross sectional area.

STEP 1: Convert Input(s) to Base Unit

Pressure Gradient: 60 Newton per Cubic Meter --> 60 Newton per Cubic Meter No Conversion Required
Horizontal Distance: 0.7 Meter --> 0.7 Meter No Conversion Required
Hydraulic Clearance: 50 Millimeter --> 0.05 Meter (Check conversion here)
Fluid Velocity in Pipe: 300 Meter per Second --> 300 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_viscosity = dp|dr*0.5*((R^2-C_H*R)/u_Fluid) --> 60*0.5*((0.7^2-0.05*0.7)/300)

Evaluating ... ...

μ_viscosity = 0.0455

STEP 3: Convert Result to Output's Unit

0.0455 Pascal Second -->0.455 Poise (Check conversion here)

FINAL ANSWER

0.455 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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< 14 When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space Calculators

Dynamic Viscosity given velocity of piston

Go 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)))

Pressure Gradient given Velocity of Fluid

Go Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)

Velocity of Fluid

Go Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity

Length of Piston for Pressure Reduction over Length of Piston

Go Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston))

Dynamic Viscosity for Pressure Drop over Length

Go Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston))

Pressure Drop over Lengths of Piston

Go Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston)

Velocity of Piston for Pressure reduction over Length of Piston

Go Velocity of Piston = Pressure Drop due to Friction/((3*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(Diameter of Piston))

Diameter of Piston for Pressure Drop over Length

Go Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2

Dynamic Viscosity given Velocity of Fluid

Go Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity in Pipe)

Clearance given Pressure Drop over Length of Piston

Go Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3)

Dynamic Viscosity given Shear Stress in Piston

Go Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))

Velocity of Piston given Shear Stress

Go Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance))

Diameter of Piston given Shear Stress

Go Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))

Clearance given Shear Stress

Go Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear Stress)

Dynamic Viscosity given Velocity of Fluid Formula

Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity in Pipe)
μ_viscosity = dp|dr*0.5*((R^2-C_H*R)/u_Fluid)

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 Velocity of Fluid?

Dynamic Viscosity given Velocity of Fluid calculator uses Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity in Pipe) to calculate 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_viscosity symbol.

How to calculate Dynamic Viscosity given Velocity of Fluid using this online calculator? To use this online calculator for Dynamic Viscosity given Velocity of Fluid, enter Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H) & Fluid Velocity in Pipe (u_Fluid) and hit the calculate button. Here is how the Dynamic Viscosity given Velocity of Fluid calculation can be explained with given input values -> 4.55 = 60*0.5*((0.7^2-0.05*0.7)/300).

FAQ

What is Dynamic Viscosity given Velocity of Fluid?

The Dynamic Viscosity given Velocity of Fluid formula is defined as the resistance offered by fluid in flow and is represented as μ_viscosity = dp|dr*0.5*((R^2-C_H*R)/u_Fluid) or Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity in Pipe). Pressure Gradient is the change in pressure with respect to radial distance of element, Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion, Hydraulic Clearance is the gap or space between two surfaces adjacent to each other & Fluid Velocity in Pipe is the volume of fluid flowing in the given vessel per unit cross sectional area.

How to calculate Dynamic Viscosity given Velocity of Fluid?

The Dynamic Viscosity given Velocity of Fluid formula is defined as the resistance offered by fluid in flow is calculated using Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity in Pipe). To calculate Dynamic Viscosity given Velocity of Fluid, you need Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H) & Fluid Velocity in Pipe (u_Fluid). With our tool, you need to enter the respective value for Pressure Gradient, Horizontal Distance, Hydraulic Clearance & Fluid Velocity in Pipe 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 Dynamic Viscosity?

In this formula, Dynamic Viscosity uses Pressure Gradient, Horizontal Distance, Hydraulic Clearance & Fluid Velocity in Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston))
Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
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)))

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