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Dynamic Viscosity given velocity of 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

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

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Dynamic Viscosity given velocity of piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
μ = F_Total/(pi*v_piston*L_P*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2)))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Dynamic Viscosity - (Measured in Kilopoise) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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 = F_Total/(pi*v_piston*L_P*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2))) --> 2.5/(pi*0.045*5*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2)))

Evaluating ... ...

μ = 0.00797251106397249

STEP 3: Convert Result to Output's Unit

0.797251106397249 Pascal Second -->7.97251106397249 Poise (Check conversion here)

FINAL ANSWER

7.97251106397249 ≈ 7.972511 Poise <-- Dynamic Viscosity

(Calculation completed in 00.020 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 velocity of piston Formula

LaTeX Go

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 piston?

Dynamic Viscosity given velocity of piston calculator uses 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))) to calculate the Dynamic Viscosity, The Dynamic Viscosity given velocity of piston is defined as resistance developed due to viscous flow in the oil tank. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given velocity of piston using this online calculator? To use this online calculator for Dynamic Viscosity given velocity of 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 given velocity of piston calculation can be explained with given input values -> 79.72511 = 2.5/(pi*0.045*5*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2))).

FAQ

What is Dynamic Viscosity given velocity of piston?

The Dynamic Viscosity given velocity of piston is defined as resistance developed due to viscous flow in the oil tank and is represented as μ = F_Total/(pi*v_piston*L_P*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2))) or 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))). 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 given velocity of piston?

The Dynamic Viscosity given velocity of piston is defined as resistance developed due to viscous flow in the oil tank is calculated using 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))). To calculate Dynamic Viscosity given velocity of 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.

How many ways are there to calculate Dynamic Viscosity?

In this formula, Dynamic Viscosity uses Total Force in Piston, Velocity of Piston, Piston Length, Diameter of Piston & Radial 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 = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))

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