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)))
lmean = (((pi)^0.5)*μ)/(ρliquid*((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
lmean = (((pi)^0.5)*μ)/(ρliquid*((β*R*2)^(0.5))) --> (((pi)^0.5)*8.23)/(4.24*((0.23*8.314*2)^(0.5)))
Evaluating ... ...
lmean = 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 00.020 seconds)

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13 Flow Analysis Calculators

Viscosity of Fluid or Oil in Rotating Cylinder Method
Go Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))
Viscosity of Fluid or Oil for Capillary Tube Method
Go Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe)
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)
Power Absorbed in Collar Bearing
Go Power Absorbed in Collar Bearing = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film
Viscosity of Fluid or Oil for Movement of Piston in Dash-Pot
Go Viscosity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Velocity of Fluid)
Mean Free Path given Fluid Viscosity and Density
Go Mean Free Path = (((pi)^0.5)*Viscosity of Fluid)/(Liquid Density*((Thermodynamic Beta*Universal Gas Constant*2)^(0.5)))
Power Absorbed in Overcoming Viscous Resistance in Journal Bearing
Go Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film
Viscosity of Fluid or Oil in Falling Sphere Resistance Method
Go Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)
Loss of Head Due to Friction
Go Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g])
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)
Power Absorbed in Foot-Step Bearing
Go Power Absorbed = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Shaft Diameter/2)^4)/(Thickness of Oil Film)

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)))
lmean = (((pi)^0.5)*μ)/(ρliquid*((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, The Mean Free Path given Fluid Viscosity and Density formula is the ratio between fluid viscosity to fluid density. Mean Free Path is denoted by lmean 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 liquid), 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 -> 0.243556 = (((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?
The Mean Free Path given Fluid Viscosity and Density formula is the ratio between fluid viscosity to fluid density and is represented as lmean = (((pi)^0.5)*μ)/(ρliquid*((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?
The Mean Free Path given Fluid Viscosity and Density formula is the ratio between fluid viscosity to fluid 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 liquid), 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.
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