Mean Free Path given Fluid Viscosity and Density Calculator

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Liquid Density is mass per unit volume of the liquid.ⓘ Liquid Density [ρ_l]			+10% -10%
✖Thermodynamic Beta is a quantity defined in thermodynamics as distinct from kinetic theory or statistical mechanics.ⓘ Thermodynamic Beta [β]			+10% -10%
✖Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joulekelvin−1mole−1.ⓘ Universal Gas Constant [R]			+10% -10%

✖Mean Free Path is defined as the average distance travelled by a moving particle between successive impacts, which modifies its direction or energy or other particle properties.ⓘ Mean Free Path given Fluid Viscosity and Density [l_m]

⎘ Copy

👎

Formula

✖

Mean Free Path given Fluid Viscosity and Density

Formula

l m = \frac{{(π)}^{0.5} \cdot μ}{ρ l \cdot {(β \cdot R \cdot 2)}^{0.5}}

Example

1.75924 m = \frac{{(π)}^{0.5} \cdot 8.23 N*s/m²}{4.24 kg/m³ \cdot {(0.23 J⁻¹ \cdot 8.314 \cdot 2)}^{0.5}}

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF PDF Image

Mean Free Path given Fluid Viscosity and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Free Path = ((pi)^0.5*Viscosity of Fluid)/(Liquid Density*(Thermodynamic Beta*Universal Gas Constant*2)^(0.5))
l_m = ((pi)^0.5*μ)/(ρ_l*(β*R*2)^(0.5))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Mean Free Path - (Measured in Meter) - Mean Free Path is defined as the average distance travelled by a moving particle between successive impacts, which modifies its direction or energy or other particle properties.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
Thermodynamic Beta - (Measured in Per Joule) - Thermodynamic Beta is a quantity defined in thermodynamics as distinct from kinetic theory or statistical mechanics.
Universal Gas Constant - Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Liquid Density: 4.24 Kilogram per Cubic Meter --> 4.24 Kilogram per Cubic Meter No Conversion Required
Thermodynamic Beta: 0.23 Per Joule --> 0.23 Per Joule No Conversion Required
Universal Gas Constant: 8.314 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_m = ((pi)^0.5*μ)/(ρ_l*(β*R*2)^(0.5)) --> ((pi)^0.5*8.23)/(4.24*(0.23*8.314*2)^(0.5))

Evaluating ... ...

l_m = 1.75923958674783

STEP 3: Convert Result to Output's Unit

1.75923958674783 Meter --> No Conversion Required

FINAL ANSWER

1.75923958674783 ≈ 1.75924 Meter <-- Mean Free Path

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Flow Analysis » Mean Free Path given Fluid Viscosity and Density

Credits

Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

Prasana Kannan has created this Calculator and 25+ more calculators!

Verified by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has verified this Calculator and 10+ more calculators!

< Flow Analysis Calculators

Loss of Pressure Head for Viscous Flow between Two Parallel Plates

Go Loss of Peizometric Head = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Thickness of Oil Film^2)

Loss of Pressure Head for Viscous Flow through Circular Pipe

Go Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)

Difference of Pressure for Viscous Flow between Two Parallel Plates

Go Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)

Difference of Pressure for Viscous or Laminar Flow

Go Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)

Mean Free Path given Fluid Viscosity and Density Formula

Mean Free Path = ((pi)^0.5*Viscosity of Fluid)/(Liquid Density*(Thermodynamic Beta*Universal Gas Constant*2)^(0.5))
l_m = ((pi)^0.5*μ)/(ρ_l*(β*R*2)^(0.5))

What does Fluid viscosity mean?

Fluid Viscosity is the resistance of a fluid (liquid or gas) to a change in shape or movement of neighboring portions relative to one another. Viscosity denotes opposition to flow. The reciprocal of the viscosity is called fluidity, a measure of the ease of flow.

Mean free path

The mean free path can be defined as the average distance the molecule travels between successive collisions.

How to Calculate Mean Free Path given Fluid Viscosity and Density?

Mean Free Path given Fluid Viscosity and Density calculator uses Mean Free Path = ((pi)^0.5*Viscosity of Fluid)/(Liquid Density*(Thermodynamic Beta*Universal Gas Constant*2)^(0.5)) to calculate the Mean Free Path, Mean Free Path given Fluid Viscosity and Density is the average distance a particle travels before colliding with another particle. It is inversely related to both the fluid viscosity and density. Mean Free Path is denoted by l_m symbol.

How to calculate Mean Free Path given Fluid Viscosity and Density using this online calculator? To use this online calculator for Mean Free Path given Fluid Viscosity and Density, enter Viscosity of Fluid (μ), Liquid Density (ρ_l), Thermodynamic Beta (β) & Universal Gas Constant (R) and hit the calculate button. Here is how the Mean Free Path given Fluid Viscosity and Density calculation can be explained with given input values -> 1.75924 = ((pi)^0.5*8.23)/(4.24*(0.23*8.314*2)^(0.5)).

FAQ

What is Mean Free Path given Fluid Viscosity and Density?

Mean Free Path given Fluid Viscosity and Density is the average distance a particle travels before colliding with another particle. It is inversely related to both the fluid viscosity and density and is represented as l_m = ((pi)^0.5*μ)/(ρ_l*(β*R*2)^(0.5)) or Mean Free Path = ((pi)^0.5*Viscosity of Fluid)/(Liquid Density*(Thermodynamic Beta*Universal Gas Constant*2)^(0.5)). The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Liquid Density is mass per unit volume of the liquid, Thermodynamic Beta is a quantity defined in thermodynamics as distinct from kinetic theory or statistical mechanics & Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

How to calculate Mean Free Path given Fluid Viscosity and Density?

Mean Free Path given Fluid Viscosity and Density is the average distance a particle travels before colliding with another particle. It is inversely related to both the fluid viscosity and density is calculated using Mean Free Path = ((pi)^0.5*Viscosity of Fluid)/(Liquid Density*(Thermodynamic Beta*Universal Gas Constant*2)^(0.5)). To calculate Mean Free Path given Fluid Viscosity and Density, you need Viscosity of Fluid (μ), Liquid Density (ρ_l), Thermodynamic Beta (β) & Universal Gas Constant (R). With our tool, you need to enter the respective value for Viscosity of Fluid, Liquid Density, Thermodynamic Beta & Universal Gas Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search