Specific Gravity of Fluid Given Settling Velocity With Respect to Kinematic Viscosity Calculator

Formula Used:

\[ Specific\ Gravity\ of\ Fluid = Specific\ Gravity\ of\ Particle - \frac{Settling\ Velocity \times 18 \times Kinematic\ Viscosity}{[g] \times Diameter^2} \] \[ G_f = G - \frac{V_s \times 18 \times \nu}{[g] \times D^2} \]

Specific Gravity of Particle (G):

Settling Velocity (V_s):

m/s

Kinematic Viscosity (ν):

m²/s

Diameter (D):

Specific Gravity of Fluid (G_f):

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1. What is Specific Gravity of Fluid?

Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid. It's a dimensionless quantity that indicates how dense a fluid is compared to water.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ G_f = G - \frac{V_s \times 18 \times \nu}{[g] \times D^2} \]

Where:

\( G_f \) — Specific Gravity of Fluid
\( G \) — Specific Gravity of Particle
\( V_s \) — Settling Velocity (m/s)
\( \nu \) — Kinematic Viscosity (m²/s)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( D \) — Diameter (m)

Explanation: This formula calculates the specific gravity of fluid based on particle settling characteristics and fluid properties.

3. Importance of Specific Gravity Calculation

Details: Calculating specific gravity of fluid is crucial for understanding fluid behavior in various engineering applications, sedimentation processes, and fluid mechanics calculations.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all inputs are positive values for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard fluid for specific gravity comparison?
A: Water is typically used as the standard fluid for specific gravity calculations, with a specific gravity of 1.0.

Q2: How does kinematic viscosity differ from dynamic viscosity?
A: Kinematic viscosity is the ratio of dynamic viscosity to fluid density, while dynamic viscosity measures a fluid's internal resistance to flow.

Q3: What factors affect settling velocity?
A: Settling velocity is influenced by particle size, shape, density, fluid viscosity, and gravitational forces.

Q4: When is this calculation particularly useful?
A: This calculation is essential in sedimentation studies, wastewater treatment, mineral processing, and any application involving particle settling in fluids.

Q5: Are there limitations to this formula?
A: The formula assumes spherical particles and laminar flow conditions. It may be less accurate for non-spherical particles or in turbulent flow conditions.