Vertical Depth Below Free Surface For Gauge Pressures At Any Point In Liquid Calculator

Formula Used:

\[ h = \frac{P_{g,V}}{y \times \left(1 + \frac{\alpha_v}{[g]}\right)} \]

Gauge Pressure for Vertical (P_g,V):

Specific Weight of Liquid (y):

N/m³

Constant Vertical Acceleration (α_v):

m/s²

Height of Crack (h):

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1. What is Height of Crack?

Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress. In fluid mechanics context, it represents the vertical depth below free surface for gauge pressures at any point in liquid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \frac{P_{g,V}}{y \times \left(1 + \frac{\alpha_v}{[g]}\right)} \]

Where:

\( h \) — Height of Crack (m)
\( P_{g,V} \) — Gauge Pressure for Vertical (Pa)
\( y \) — Specific Weight of Liquid (N/m³)
\( \alpha_v \) — Constant Vertical Acceleration (m/s²)
\( [g] \) — Gravitational acceleration constant (9.80665 m/s²)

Explanation: This formula calculates the height/depth based on gauge pressure, specific weight of the liquid, and vertical acceleration, accounting for gravitational effects.

3. Importance of Height Calculation

Details: Accurate calculation of height/depth is crucial for determining pressure distribution in fluids, designing containers and tanks, and analyzing structural integrity under fluid pressure conditions.

4. Using the Calculator

Tips: Enter gauge pressure in Pascals, specific weight in N/m³, and constant vertical acceleration in m/s². All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is specific weight of liquid?
A: Specific weight of liquid is the weight per unit volume of the liquid, typically measured in N/m³ or kN/m³.

Q2: How does vertical acceleration affect the height calculation?
A: Vertical acceleration modifies the effective gravitational field, changing how pressure varies with depth in accelerating containers.

Q3: What are typical values for specific weight?
A: Water has a specific weight of approximately 9810 N/m³ at standard conditions. Other liquids vary based on density.

Q4: When is this calculation particularly important?
A: This is critical in designing moving containers (like fuel tanks in vehicles), aerospace applications, and any system where containers experience acceleration.

Q5: How accurate is this calculation?
A: The calculation is theoretically accurate for Newtonian fluids in rigid containers with constant acceleration, but may need adjustments for real-world conditions.