Kinematic Viscosity Of Water Given Reynolds Number Of Value Unity Calculator

Formula Used:

\[ \text{Kinematic Viscosity in Stokes} = \frac{\text{Apparent Velocity of Seepage} \times \text{Representative Particle Size}}{\text{Reynolds Number}} \] \[ \nu_{stokes} = \frac{V \times d_a}{Re} \]

Kinematic Viscosity in Stokes (ν_stokes):

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1. What is Kinematic Viscosity?

Kinematic viscosity is a measure of a fluid's internal resistance to flow under the influence of gravity. It is defined as the ratio of the dynamic viscosity to the fluid's density and is typically measured in stokes (St) or square meters per second (m²/s).

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \nu_{stokes} = \frac{V \times d_a}{Re} \]

Where:

\( \nu_{stokes} \) — Kinematic viscosity in stokes (m²/s)
\( V \) — Apparent velocity of seepage (m/s)
\( d_a \) — Representative particle size (m)
\( Re \) — Reynolds number (dimensionless)

Explanation: This formula calculates the kinematic viscosity of water based on the apparent velocity of seepage, representative particle size, and Reynolds number when the Reynolds number has a value of unity.

3. Importance of Kinematic Viscosity Calculation

Details: Calculating kinematic viscosity is crucial for understanding fluid flow characteristics in porous media, designing filtration systems, and analyzing groundwater movement in soil mechanics and hydrology applications.

4. Using the Calculator

Tips: Enter apparent velocity of seepage in m/s, representative particle size in meters, and Reynolds number. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Reynolds number of unity?
A: A Reynolds number of 1 indicates the transition point between laminar and turbulent flow, where inertial and viscous forces are balanced.

Q2: How is representative particle size determined?
A: Representative particle size is typically determined through sieve analysis and represents the characteristic size of sediment particles in a sample.

Q3: What are typical values for kinematic viscosity of water?
A: At 20°C, the kinematic viscosity of water is approximately 1.0 × 10⁻⁶ m²/s (0.01 stokes).

Q4: When is this calculation particularly useful?
A: This calculation is particularly useful in groundwater hydrology, soil mechanics, and filtration system design where water flows through porous media.

Q5: Are there limitations to this formula?
A: This formula assumes uniform particle size distribution and may need adjustment for non-uniform or highly heterogeneous porous media.