LCM calculator

Dynamic Viscosity for Pressure Drop over Length Calculator

Engineering Chemistry Financial Health More >>

↳

Civil Chemical Engineering Electrical Electronics More >>

⤿

Hydraulics and Waterworks Bridge and Suspension Cable Coastal and Ocean Engineering Columns More >>

⤿

Laminar Flow Buoyancy And Floatation Culverts Dams More >>

⤿

Dash Pot Mechanism Laminar Flow around a Sphere Stokes’ Law Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow Laminar Flow between Parallel Plates, both Plates at Rest More >>

⤿

When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space Dynamic Viscosity Velocity of Piston

⤿

When Shear Force is Negligible

✖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 Drop over Length [μ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Dash Pot Mechanism Formulas PDF PDF Image

Dynamic Viscosity for Pressure Drop over Length 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))
μ = ΔPf/((6*v_piston*L_P/(C_R^3))*(0.5*D))
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)) --> 33/((6*0.045*5/(0.45^3))*(0.5*3.5))

Evaluating ... ...

μ = 1.27285714285714

STEP 3: Convert Result to Output's Unit

1.27285714285714 Pascal Second -->12.7285714285714 Poise (Check conversion here)

FINAL ANSWER

12.7285714285714 ≈ 12.72857 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Dash Pot Mechanism » When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space » Dynamic Viscosity for Pressure Drop over Length

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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 for Pressure Drop over Length Formula

LaTeX Go

Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston))
μ = ΔPf/((6*v_piston*L_P/(C_R^3))*(0.5*D))

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 Drop over Length?

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

How to calculate Dynamic Viscosity for Pressure Drop over Length using this online calculator? To use this online calculator for Dynamic Viscosity for Pressure Drop over Length, 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 Drop over Length calculation can be explained with given input values -> 127.2857 = 33/((6*0.045*5/(0.45^3))*(0.5*3.5)).

FAQ

What is Dynamic Viscosity for Pressure Drop over Length?

The Dynamic Viscosity for Pressure Drop over Length is defined as the resistance offered by fluid on relative motion and is represented as μ = ΔPf/((6*v_piston*L_P/(C_R^3))*(0.5*D)) or Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston)). 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 Drop over Length?

The Dynamic Viscosity for Pressure Drop over Length is defined as the 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)). To calculate Dynamic Viscosity for Pressure Drop over Length, 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 = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity)
Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
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)))

Home

FREE PDFs

🔍 Search