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Dynamic Viscosity given Shear Stress in Piston 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

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.ⓘ Diameter of Piston [D]			+10% -10%
✖Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.ⓘ Velocity of Piston [v_piston]			+10% -10%
✖Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.ⓘ Hydraulic Clearance [C_H]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Shear Stress in Piston [μ]

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Dynamic Viscosity given Shear Stress in Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
μ = 𝜏/(1.5*D*v_piston/(C_H*C_H))
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.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Diameter of Piston - (Measured in Meter) - Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.
Velocity of Piston - (Measured in Meter per Second) - Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.
Hydraulic Clearance - (Measured in Meter) - Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second No Conversion Required
Hydraulic Clearance: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = 𝜏/(1.5*D*v_piston/(C_H*C_H)) --> 93.1/(1.5*3.5*0.045/(0.05*0.05))

Evaluating ... ...

μ = 0.985185185185185

STEP 3: Convert Result to Output's Unit

0.985185185185185 Pascal Second -->9.85185185185185 Poise (Check conversion here)

FINAL ANSWER

9.85185185185185 ≈ 9.851852 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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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 Shear Stress in Piston Formula

LaTeX Go

Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
μ = 𝜏/(1.5*D*v_piston/(C_H*C_H))

What is Dynamic Viscosity?

Dynamic viscosity (also known as absolute viscosity) is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density.

How to Calculate Dynamic Viscosity given Shear Stress in Piston?

Dynamic Viscosity given Shear Stress in Piston calculator uses Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Shear Stress in Piston is defined as the resistance developed due to relative motion of object in flow. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Shear Stress in Piston using this online calculator? To use this online calculator for Dynamic Viscosity given Shear Stress in Piston, enter Shear Stress (𝜏), Diameter of Piston (D), Velocity of Piston (v_piston) & Hydraulic Clearance (C_H) and hit the calculate button. Here is how the Dynamic Viscosity given Shear Stress in Piston calculation can be explained with given input values -> 98.51852 = 93.1/(1.5*3.5*0.045/(0.05*0.05)).

FAQ

What is Dynamic Viscosity given Shear Stress in Piston?

The Dynamic Viscosity given Shear Stress in Piston is defined as the resistance developed due to relative motion of object in flow and is represented as μ = 𝜏/(1.5*D*v_piston/(C_H*C_H)) or Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston, Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity & Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.

How to calculate Dynamic Viscosity given Shear Stress in Piston?

The Dynamic Viscosity given Shear Stress in Piston is defined as the resistance developed due to relative motion of object in flow is calculated using Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)). To calculate Dynamic Viscosity given Shear Stress in Piston, you need Shear Stress (𝜏), Diameter of Piston (D), Velocity of Piston (v_piston) & Hydraulic Clearance (C_H). With our tool, you need to enter the respective value for Shear Stress, Diameter of Piston, Velocity of Piston & Hydraulic Clearance 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 Shear Stress, Diameter of Piston, Velocity of Piston & Hydraulic Clearance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity)
Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston))
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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