Dynamic Viscosity for Pressure Reduction over Length of Piston Calculator

✖Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.ⓘ Pressure Drop due to Friction [ΔPf]			+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%
✖Radial Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Radial Clearance [C_R]			+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%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity for Pressure Reduction over Length of Piston [μ]

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Dynamic Viscosity for Pressure Reduction over Length of Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
μ = ΔPf/((6*v_piston*L_P/(C_R^3))*(0.5*D+C_R))
This formula uses 6 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.
Pressure Drop due to Friction - (Measured in Pascal) - Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.
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.
Radial Clearance - (Measured in Meter) - Radial Clearance or gap is the distance between two surfaces adjacent to each other.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure Drop due to Friction: 33 Pascal --> 33 Pascal 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
Radial Clearance: 0.45 Meter --> 0.45 Meter No Conversion Required
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = ΔPf/((6*v_piston*L_P/(C_R^3))*(0.5*D+C_R)) --> 33/((6*0.045*5/(0.45^3))*(0.5*3.5+0.45))

Evaluating ... ...

μ = 1.0125

STEP 3: Convert Result to Output's Unit

1.0125 Pascal Second -->10.125 Poise (Check conversion here)

FINAL ANSWER

10.125 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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 Pressure Reduction over Length 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 for Pressure Reduction over Length of Piston?

Dynamic Viscosity for Pressure Reduction over Length of Piston calculator uses Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)) to calculate the Dynamic Viscosity, The Dynamic Viscosity for Pressure Reduction over Length of Piston is defined as resistance offered by fluid on relative motion. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity for Pressure Reduction over Length of Piston using this online calculator? To use this online calculator for Dynamic Viscosity for Pressure Reduction over Length of Piston, enter Pressure Drop due to Friction (ΔPf), Velocity of Piston (v_piston), Piston Length (L_P), Radial Clearance (C_R) & Diameter of Piston (D) and hit the calculate button. Here is how the Dynamic Viscosity for Pressure Reduction over Length of Piston calculation can be explained with given input values -> 101.25 = 33/((6*0.045*5/(0.45^3))*(0.5*3.5+0.45)).

FAQ

What is Dynamic Viscosity for Pressure Reduction over Length of Piston?

The Dynamic Viscosity for Pressure Reduction over Length of Piston is defined as resistance offered by fluid on relative motion and is represented as μ = ΔPf/((6*v_piston*L_P/(C_R^3))*(0.5*D+C_R)) or Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)). Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction, 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, Radial Clearance or gap is the distance between two surfaces adjacent to each other & 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.

How to calculate Dynamic Viscosity for Pressure Reduction over Length of Piston?

The Dynamic Viscosity for Pressure Reduction over Length of Piston is defined as resistance offered by fluid on relative motion is calculated using Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)). To calculate Dynamic Viscosity for Pressure Reduction over Length of Piston, you need Pressure Drop due to Friction (ΔPf), Velocity of Piston (v_piston), Piston Length (L_P), Radial Clearance (C_R) & Diameter of Piston (D). With our tool, you need to enter the respective value for Pressure Drop due to Friction, Velocity of Piston, Piston Length, Radial Clearance & Diameter of Piston 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 Pressure Drop due to Friction, Velocity of Piston, Piston Length, Radial Clearance & Diameter of Piston. 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 = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

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