Discharge Per Unit Channel Width Calculator

Formula Used:

\[ \text{Kinematic Viscosity} = \frac{\text{Specific Weight of Liquid} \times \text{Slope of Bed} \times \text{Diameter of Section}^3}{3 \times \text{Dynamic Viscosity}} \] \[ \nu = \frac{\gamma_f \times s \times d_{\text{section}}^3}{3 \times \mu} \]

Specific Weight of Liquid (γ_f):

kN/m³

Slope of Bed (s):

Diameter of Section (d_section):

Dynamic Viscosity (μ):

Pa·s

Kinematic Viscosity (ν):

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1. What is Kinematic Viscosity?

Kinematic Viscosity refers to the fluid's internal resistance to flow under the influence of gravity. It is a measure of how easily a fluid flows due to gravity forces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \nu = \frac{\gamma_f \times s \times d_{\text{section}}^3}{3 \times \mu} \]

Where:

\( \nu \) — Kinematic Viscosity (m²/s)
\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( s \) — Slope of Bed (-)
\( d_{\text{section}} \) — Diameter of Section (m)
\( \mu \) — Dynamic Viscosity (Pa·s)

Explanation: This formula calculates the kinematic viscosity based on the specific weight of the liquid, slope of the bed, diameter of the section, and dynamic viscosity of the fluid.

3. Importance of Kinematic Viscosity Calculation

Details: Kinematic viscosity is crucial in fluid mechanics for analyzing flow characteristics, designing hydraulic systems, and understanding fluid behavior in various engineering applications.

4. Using the Calculator

Tips: Enter specific weight in kN/m³, slope as a dimensionless value, diameter in meters, and dynamic viscosity in Pa·s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between kinematic and dynamic viscosity?
A: Dynamic viscosity measures a fluid's internal resistance to flow when an external force is applied, while kinematic viscosity is the ratio of dynamic viscosity to density and relates to flow under gravity.

Q2: What are typical units for kinematic viscosity?
A: The SI unit is m²/s, but Stokes (St) and centistokes (cSt) are also commonly used (1 St = 10⁻⁴ m²/s, 1 cSt = 10⁻⁶ m²/s).

Q3: How does temperature affect kinematic viscosity?
A: For liquids, kinematic viscosity generally decreases with increasing temperature, while for gases it increases with temperature.

Q4: What are some practical applications of kinematic viscosity?
A: Used in lubricant selection, hydraulic system design, petroleum product classification, and various industrial processes involving fluid flow.

Q5: How accurate is this calculation method?
A: The formula provides a theoretical calculation that works well for Newtonian fluids under specific conditions. For non-Newtonian fluids or complex flow conditions, more sophisticated models may be required.