Buoyant Force When Body Floats At Between Two Immiscible Fluids Of Specific Weights Calculator

Buoyant Force Formula:

\[ F_{Buoyant} = (\omega \times \nu_1 + \omega_1 \times \nu_2) \]

Specific Weight of Body (ω):

N/m³

Specific Volume at Point 1 (ν₁):

m³/kg

Specific Weight 2 (ω₁):

N/m³

Specific Volume at Point 2 (ν₂):

m³/kg

Buoyant Force (F_Buoyant):

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1. What is Buoyant Force?

Buoyant Force is the upward force exerted by any fluid upon a body placed in it. When a body floats between two immiscible fluids, the total buoyant force is the sum of the buoyant forces from both fluids.

2. How Does the Calculator Work?

The calculator uses the Buoyant Force formula:

\[ F_{Buoyant} = (\omega \times \nu_1 + \omega_1 \times \nu_2) \]

Where:

\( F_{Buoyant} \) — Buoyant Force (N)
\( \omega \) — Specific Weight of body (N/m³)
\( \nu_1 \) — Specific Volume at Point 1 (m³/kg)
\( \omega_1 \) — Specific Weight 2 (N/m³)
\( \nu_2 \) — Specific Volume at Point 2 (m³/kg)

Explanation: The formula calculates the total buoyant force when a body floats at the interface between two immiscible fluids by summing the products of specific weights and specific volumes at each point.

3. Importance of Buoyant Force Calculation

Details: Accurate buoyant force calculation is crucial for designing floating structures, understanding fluid mechanics, and analyzing stability of objects in multi-fluid environments.

4. Using the Calculator

Tips: Enter specific weights in N/m³ and specific volumes in m³/kg. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What are immiscible fluids?
A: Immiscible fluids are liquids that do not mix with each other, such as oil and water, maintaining separate layers when combined.

Q2: How does buoyant force affect floating objects?
A: Buoyant force counteracts the weight of an object, allowing it to float when the buoyant force equals or exceeds the object's weight.

Q3: What is specific weight?
A: Specific weight is the weight per unit volume of a material, measured in N/m³, representing the force exerted by gravity on a unit volume.

Q4: What is specific volume?
A: Specific volume is the volume occupied by a unit mass of a material, measured in m³/kg, representing the inverse of density.

Q5: Are there limitations to this equation?
A: This equation assumes ideal conditions and may need adjustments for complex shapes, turbulent flows, or when surface tension effects are significant.