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)))
μviscosity = FTotal/(pi*vpiston*LP*(0.75*((D/CR)^3)+1.5*((D/CR)^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 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
μviscosity = FTotal/(pi*vpiston*LP*(0.75*((D/CR)^3)+1.5*((D/CR)^2))) --> 2.5/(pi*0.045*5*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2)))
Evaluating ... ...
μviscosity = 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 00.004 seconds)

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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 velocity of piston Formula

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)))
μviscosity = FTotal/(pi*vpiston*LP*(0.75*((D/CR)^3)+1.5*((D/CR)^2)))

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 μviscosity 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 (FTotal), Velocity of Piston (vpiston), Piston Length (LP), Diameter of Piston (D) & Radial Clearance (CR) 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 μviscosity = FTotal/(pi*vpiston*LP*(0.75*((D/CR)^3)+1.5*((D/CR)^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 (FTotal), Velocity of Piston (vpiston), Piston Length (LP), Diameter of Piston (D) & Radial Clearance (CR). 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 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 = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
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