Reynolds Number of Value Unity Calculator

✖Apparent Velocity of Seepage is velocity with which groundwater moves through the bulk of the porous medium.ⓘ Apparent Velocity of Seepage [V]			+10% -10%
✖Representative Particle Size da which is equally equal to d10.ⓘ Representative Particle Size [d_a]			+10% -10%
✖The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity [ν]			+10% -10%

✖The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.ⓘ Reynolds Number of Value Unity [Re]

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Reynolds Number of Value Unity

Formula

`"Re" = ("V"*"d"_{"a"})/"ν"`

Example

`"4998.621"=("24m/s"*"0.151m")/"7.25St"`

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Reynolds Number of Value Unity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reynolds Number = (Apparent Velocity of Seepage*Representative Particle Size)/Kinematic Viscosity
Re = (V*d_a)/ν
This formula uses 4 Variables

Variables Used

Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
Apparent Velocity of Seepage - (Measured in Meter per Second) - Apparent Velocity of Seepage is velocity with which groundwater moves through the bulk of the porous medium.
Representative Particle Size - (Measured in Meter) - Representative Particle Size da which is equally equal to d10.
Kinematic Viscosity - (Measured in Square Meter per Second) - The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

STEP 1: Convert Input(s) to Base Unit

Apparent Velocity of Seepage: 24 Meter per Second --> 24 Meter per Second No Conversion Required
Representative Particle Size: 0.151 Meter --> 0.151 Meter No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Re = (V*d_a)/ν --> (24*0.151)/0.000725

Evaluating ... ...

Re = 4998.62068965517

STEP 3: Convert Result to Output's Unit

4998.62068965517 --> No Conversion Required

FINAL ANSWER

4998.62068965517 ≈ 4998.621 <-- Reynolds Number

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 11 Darcy's Law Calculators

Representative Particle Size given Reynolds Number of Value Unity

Go Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage

Kinematic Viscosity of Water given Reynolds Number of Value Unity

Go Kinematic Viscosity = (Apparent Velocity of Seepage*Representative Particle Size)/Reynolds Number

Apparent Velocity of Seepage given Reynolds Number of Value Unity

Go Apparent Velocity of Seepage = (Reynolds Number*Kinematic Viscosity)/Representative Particle Size

Reynolds Number of Value Unity

Go Reynolds Number = (Apparent Velocity of Seepage*Representative Particle Size)/Kinematic Viscosity

Darcy's Law

Go Rate of Flow = -Hydraulic Conductivity*Cross-Sectional Area*Hydraulic Gradient

Apparent velocity of seepage when discharge and cross-sectional area are considered

Go Apparent Velocity of Seepage = Discharge/Cross section area of the porous medium

Coefficient of Permeability when Apparent Velocity of Seepage is considered

Go Coefficient of Permeability = Apparent Velocity of Seepage/Hydraulic Gradient

Hydraulic Gradient when Apparent Velocity of Seepage is considered

Go Hydraulic Gradient = Apparent Velocity of Seepage/Coefficient of Permeability

Apparent Velocity of Seepage

Go Apparent Velocity of Seepage = Coefficient of Permeability*Hydraulic Gradient

Apparent Velocity and Bulk Pore Velocity Relationship

Go Apparent Velocity of Seepage = Bulk Pore Velocity*Porosity of soil

Bulk Pore Velocity

Go Bulk Pore Velocity = Apparent Velocity of Seepage/Porosity of soil

Reynolds Number of Value Unity Formula

Reynolds Number = (Apparent Velocity of Seepage*Representative Particle Size)/Kinematic Viscosity
Re = (V*d_a)/ν

What is Darcy's Law in Hydrology?

Darcy's law is an equation that describes the flow of a fluid through a porous medium. The law was formulated by Henry Darcy based on results of experiments on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences.

How to Calculate Reynolds Number of Value Unity?

Reynolds Number of Value Unity calculator uses Reynolds Number = (Apparent Velocity of Seepage*Representative Particle Size)/Kinematic Viscosity to calculate the Reynolds Number, The Reynolds Number of Value Unity is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. Reynolds Number is denoted by Re symbol.

How to calculate Reynolds Number of Value Unity using this online calculator? To use this online calculator for Reynolds Number of Value Unity, enter Apparent Velocity of Seepage (V), Representative Particle Size (d_a) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Reynolds Number of Value Unity calculation can be explained with given input values -> 4998.621 = (24*0.151)/0.000725.

FAQ

What is Reynolds Number of Value Unity?

The Reynolds Number of Value Unity is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities and is represented as Re = (V*d_a)/ν or Reynolds Number = (Apparent Velocity of Seepage*Representative Particle Size)/Kinematic Viscosity. Apparent Velocity of Seepage is velocity with which groundwater moves through the bulk of the porous medium, Representative Particle Size da which is equally equal to d10 & The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

How to calculate Reynolds Number of Value Unity?

The Reynolds Number of Value Unity is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities is calculated using Reynolds Number = (Apparent Velocity of Seepage*Representative Particle Size)/Kinematic Viscosity. To calculate Reynolds Number of Value Unity, you need Apparent Velocity of Seepage (V), Representative Particle Size (d_a) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Apparent Velocity of Seepage, Representative Particle Size & Kinematic Viscosity 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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