Dynamic Viscosity given Shear Stress in Piston Calculator

✖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 of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity given Shear Stress in Piston [μ_viscosity]

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Formula

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Dynamic Viscosity given Shear Stress in Piston

Formula

`"μ"_{"viscosity"} = "𝜏"/(1.5*"D"*"v"_{"piston"}/("C"_{"H"}*"C"_{"H"}))`

Example

`"9.851852P"="93.1Pa"/(1.5*"3.5m"*"0.045m/s"/("50mm"*"50mm"))`

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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_viscosity = 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 of a fluid is the measure of its resistance to flow when an external 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_viscosity = 𝜏/(1.5*D*v_piston/(C_H*C_H)) --> 93.1/(1.5*3.5*0.045/(0.05*0.05))

Evaluating ... ...

μ_viscosity = 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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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Dash-Pot Mechanism » When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space » Dynamic Viscosity given Shear Stress in Piston

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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 Shear Stress in Piston Formula

Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
μ_viscosity = 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_viscosity 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_viscosity = 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 in Pipe)
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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