Dynamic Viscosity for Total Force in piston Calculator

✖The Total Force in Piston is the sum of pressure forces acting on its surface due to the fluid flow.ⓘ Total Force in Piston [F_Total]			+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%
✖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%
✖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 of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity for Total Force in piston [μ_viscosity]

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Formula

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Dynamic Viscosity for Total Force in piston

Formula

`"μ"_{"viscosity"} = "F"_{"Total"}/(0.75*pi*"v"_{"piston"}*"L"_{"P"}*(("D"/"C"_{"R"})^3))`

Example

`"0.100226P"="2.5N"/(0.75*pi*"0.045m/s"*"5m"*(("3.5m"/"0.45m")^3))`

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Dynamic Viscosity for Total Force in piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = Total Force in Piston/(0.75*pi*Velocity of Piston*Piston Length*((Diameter of Piston/Radial Clearance)^3))
μ_viscosity = F_Total/(0.75*pi*v_piston*L_P*((D/C_R)^3))
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 of a fluid is the measure of its resistance to flow when an external force is applied.
Total Force in Piston - (Measured in Newton) - The Total Force in Piston is the sum of pressure forces acting on its surface due to the fluid flow.
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.
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.
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

Total Force in Piston: 2.5 Newton --> 2.5 Newton No Conversion Required
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second No Conversion Required
Piston Length: 5 Meter --> 5 Meter 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_viscosity = F_Total/(0.75*pi*v_piston*L_P*((D/C_R)^3)) --> 2.5/(0.75*pi*0.045*5*((3.5/0.45)^3))

Evaluating ... ...

μ_viscosity = 0.0100225853375654

STEP 3: Convert Result to Output's Unit

0.0100225853375654 Pascal Second -->0.100225853375654 Poise (Check conversion here)

FINAL ANSWER

0.100225853375654 ≈ 0.100226 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 » When Shear Force is Negligible » Dynamic Viscosity for Total Force in piston

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< 2 When Shear Force is Negligible Calculators

Dynamic Viscosity for Total Force in piston

Go Dynamic Viscosity = Total Force in Piston/(0.75*pi*Velocity of Piston*Piston Length*((Diameter of Piston/Radial Clearance)^3))

Length of Piston for Total Force in Piston

Go Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3))

Dynamic Viscosity for Total Force in piston Formula

Dynamic Viscosity = Total Force in Piston/(0.75*pi*Velocity of Piston*Piston Length*((Diameter of Piston/Radial Clearance)^3))
μ_viscosity = F_Total/(0.75*pi*v_piston*L_P*((D/C_R)^3))

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 Total Force in piston?

Dynamic Viscosity for Total Force in piston calculator uses Dynamic Viscosity = Total Force in Piston/(0.75*pi*Velocity of Piston*Piston Length*((Diameter of Piston/Radial Clearance)^3)) to calculate the Dynamic Viscosity, The Dynamic Viscosity for Total Force in piston is defined as the resistance developed due to viscous flow in the oil tank. Dynamic Viscosity is denoted by μ_viscosity symbol.

How to calculate Dynamic Viscosity for Total Force in piston using this online calculator? To use this online calculator for Dynamic Viscosity for Total Force in piston, enter Total Force in Piston (F_Total), Velocity of Piston (v_piston), Piston Length (L_P), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Dynamic Viscosity for Total Force in piston calculation can be explained with given input values -> 1.002259 = 2.5/(0.75*pi*0.045*5*((3.5/0.45)^3)).

FAQ

What is Dynamic Viscosity for Total Force in piston?

The Dynamic Viscosity for Total Force in piston is defined as the resistance developed due to viscous flow in the oil tank and is represented as μ_viscosity = F_Total/(0.75*pi*v_piston*L_P*((D/C_R)^3)) or Dynamic Viscosity = Total Force in Piston/(0.75*pi*Velocity of Piston*Piston Length*((Diameter of Piston/Radial Clearance)^3)). The Total Force in Piston is the sum of pressure forces acting on its surface due to the fluid flow, Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity, Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length, 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 Total Force in piston?

The Dynamic Viscosity for Total Force in piston is defined as the resistance developed due to viscous flow in the oil tank is calculated using Dynamic Viscosity = Total Force in Piston/(0.75*pi*Velocity of Piston*Piston Length*((Diameter of Piston/Radial Clearance)^3)). To calculate Dynamic Viscosity for Total Force in piston, you need Total Force in Piston (F_Total), Velocity of Piston (v_piston), Piston Length (L_P), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Total Force in Piston, Velocity of Piston, Piston Length, 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.

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