Dynamic Viscosity for Shear Force Resisting Motion of Piston Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [Fs]			+10% -10%
✖Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.ⓘ Piston Length [L_P]			+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%
✖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%
✖Radial Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Radial Clearance [C_R]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity for Shear Force Resisting Motion of Piston [μ]

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Dynamic Viscosity for Shear Force Resisting Motion of Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))
μ = Fs/(pi*L_P*v_piston*(1.5*(D/C_R)^2+4*(D/C_R)))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Piston Length - (Measured in Meter) - Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.
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.
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.
Radial Clearance - (Measured in Meter) - Radial Clearance or gap is the distance between two surfaces adjacent to each other.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 90 Newton --> 90 Newton No Conversion Required
Piston Length: 5 Meter --> 5 Meter No Conversion Required
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second No Conversion Required
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
Radial Clearance: 0.45 Meter --> 0.45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = Fs/(pi*L_P*v_piston*(1.5*(D/C_R)^2+4*(D/C_R))) --> 90/(pi*5*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45)))

Evaluating ... ...

μ = 1.04490783306533

STEP 3: Convert Result to Output's Unit

1.04490783306533 Pascal Second -->10.4490783306533 Poise (Check conversion here)

FINAL ANSWER

10.4490783306533 ≈ 10.44908 Poise <-- Dynamic Viscosity

(Calculation completed in 00.020 seconds)

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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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< Dynamic Viscosity Calculators

Dynamic Viscosity given Velocity of Flow in Oil Tank

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

Dynamic Viscosity for Shear Force Resisting Motion of Piston

LaTeX Go Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

Dynamic Viscosity given Rate of Flow

LaTeX Go Dynamic Viscosity = (Pressure Gradient*(Radial Clearance^3)/12)/((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)

Dynamic Viscosity for Pressure Reduction over Length of Piston

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

Dynamic Viscosity for Shear Force Resisting Motion of Piston Formula

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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 for Shear Force Resisting Motion of Piston?

Dynamic Viscosity for Shear Force Resisting Motion of Piston calculator uses Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))) to calculate the Dynamic Viscosity, The Dynamic Viscosity for Shear Force Resisting Motion of Piston is defined as resistance developed due to viscous flow in oil tank. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity for Shear Force Resisting Motion of Piston using this online calculator? To use this online calculator for Dynamic Viscosity for Shear Force Resisting Motion of Piston, enter Shear Force (Fs), Piston Length (L_P), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Dynamic Viscosity for Shear Force Resisting Motion of Piston calculation can be explained with given input values -> 104.4908 = 90/(pi*5*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45))).

FAQ

What is Dynamic Viscosity for Shear Force Resisting Motion of Piston?

The Dynamic Viscosity for Shear Force Resisting Motion of Piston is defined as resistance developed due to viscous flow in oil tank and is represented as μ = Fs/(pi*L_P*v_piston*(1.5*(D/C_R)^2+4*(D/C_R))) or Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). Shear Force is the force which causes shear deformation to occur in the shear plane, Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length, Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity, 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 & Radial Clearance or gap is the distance between two surfaces adjacent to each other.

How to calculate Dynamic Viscosity for Shear Force Resisting Motion of Piston?

The Dynamic Viscosity for Shear Force Resisting Motion of Piston is defined as resistance developed due to viscous flow in oil tank is calculated using Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). To calculate Dynamic Viscosity for Shear Force Resisting Motion of Piston, you need Shear Force (Fs), Piston Length (L_P), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Shear Force, Piston Length, Velocity of Piston, Diameter of Piston & Radial 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 Force, Piston Length, Velocity of Piston, Diameter of Piston & Radial Clearance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = 0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/(Fluid Velocity in Oil Tank+(Velocity of Piston*Horizontal Distance/Hydraulic Clearance))
Dynamic Viscosity = (Pressure Gradient*(Radial Clearance^3)/12)/((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)
Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))

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