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Dynamic Viscosity given Velocity of Fluid Calculator

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When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space Dynamic Viscosity Velocity of Piston

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When Shear Force is Negligible

✖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%
✖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).ⓘ Fluid Velocity [u_Fluid]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Velocity of Fluid [μ]

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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)
μ = 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 refers to the internal resistance of a fluid to flow when a 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 - (Measured in Meter per Second) - 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).

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: 300 Meter per Second --> 300 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

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

Pressure Gradient given Velocity of Fluid

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

Velocity of Fluid

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

Pressure Drop over Lengths of Piston

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

Dynamic Viscosity given Velocity of Fluid

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

Dynamic Viscosity given Velocity of Fluid Formula

LaTeX Go

Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity)
μ = 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) 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 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 (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 = 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). 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 & 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).

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). To calculate Dynamic Viscosity given Velocity of Fluid, you need Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H) & Fluid Velocity (u_Fluid). With our tool, you need to enter the respective value for Pressure Gradient, Horizontal Distance, Hydraulic Clearance & Fluid Velocity 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. 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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