Length Of Displacer Submerged In Liquid Calculator

Formula Used:

\[ L = \frac{4 \times F_b}{\gamma \times \pi \times D^2} \]

Displacer Length (L):

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1. What is the Displacer Length Formula?

The Displacer Length formula calculates the length of a displacer submerged in liquid based on buoyancy force, fluid specific weight, and pipe diameter. This calculation is essential in various engineering applications involving fluid mechanics and buoyancy.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{4 \times F_b}{\gamma \times \pi \times D^2} \]

Where:

\( L \) — Displacer Length (Meter)
\( F_b \) — Buoyancy Force (Newton)
\( \gamma \) — Fluid Specific Weight (N/m³)
\( D \) — Pipe Diameter Level (Meter)
\( \pi \) — Archimedes' constant (≈ 3.14159)

Explanation: The formula calculates the submerged length of a displacer by considering the balance between buoyancy force and the geometric properties of the system.

3. Importance of Displacer Length Calculation

Details: Accurate calculation of displacer length is crucial for designing and optimizing fluid systems, ensuring proper buoyancy, and maintaining system stability in various engineering applications.

4. Using the Calculator

Tips: Enter buoyancy force in Newton, fluid specific weight in N/m³, and pipe diameter level in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is buoyancy force?
A: Buoyancy force is the upward force exerted by a fluid that opposes the weight of an object immersed in it.

Q2: How is fluid specific weight different from density?
A: Fluid specific weight is the weight per unit volume, while density is mass per unit volume. Specific weight = density × gravitational acceleration.

Q3: What applications use this calculation?
A: This calculation is used in level measurement systems, buoyancy controls, and various fluid mechanics applications in engineering.

Q4: Are there limitations to this formula?
A: The formula assumes ideal conditions and may need adjustments for complex geometries, turbulent flows, or non-uniform fluid properties.

Q5: What units should be used for accurate results?
A: Use consistent SI units: Newton for force, N/m³ for specific weight, and meters for length measurements.