1. What is Compressibility of Fluid?

Compressibility of Fluid is a measure of the relative volume change of a fluid or solid as a response to a pressure (or mean stress) change. It quantifies how much a substance will compress under pressure.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( C \) — Compressibility of Fluid (m²/N)
• \( K \) — Bulk Modulus of Elasticity (Pa)

Explanation: The compressibility of a fluid is inversely proportional to its bulk modulus of elasticity. A higher bulk modulus indicates a less compressible fluid.

3. Importance of Compressibility Calculation

Details: Calculating fluid compressibility is crucial in various engineering applications, including hydraulic systems, fluid dynamics, and material science, where pressure-volume relationships are important.

4. Using the Calculator

Tips: Enter the bulk modulus of elasticity in Pascals (Pa). The value must be greater than zero. The calculator will compute the corresponding compressibility.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between compressibility and bulk modulus?
A: Compressibility and bulk modulus are inversely related. Compressibility = 1/Bulk Modulus.

Q2: What are typical values for fluid compressibility?
A: Compressibility values vary significantly between fluids. Water has low compressibility (around 4.5×10⁻¹⁰ m²/N), while gases have much higher compressibility.

Q3: Why is compressibility important in engineering?
A: Compressibility affects how fluids behave under pressure, which is critical in designing hydraulic systems, pipelines, and understanding wave propagation in fluids.

Q4: How does temperature affect compressibility?
A: Generally, compressibility increases with temperature for liquids, as their bulk modulus decreases with rising temperature.

Q5: Can compressibility be negative?
A: No, compressibility is always a positive value since both volume decrease and pressure increase are positive quantities in the definition.