Height Of Liquid In Column Calculator

Formula Used:

\[ \Delta L = \frac{\Delta P}{\gamma} \]

Liquid Height Difference (ΔL):

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1. What is the Liquid Height Difference Formula?

The liquid height difference formula calculates the height difference of liquid in a column based on pressure difference and specific weight of the fluid. It's derived from the fundamental relationship between pressure and fluid height.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \Delta L = \frac{\Delta P}{\gamma} \]

Where:

\( \Delta L \) — Liquid Height Difference (m)
\( \Delta P \) — Pressure Difference (Pa)
\( \gamma \) — Specific Weight Fluid Pressure (N/m³)

Explanation: The formula shows that liquid height difference is directly proportional to pressure difference and inversely proportional to the specific weight of the fluid.

3. Importance of Liquid Height Calculation

Details: Calculating liquid height difference is crucial in fluid mechanics, hydraulic engineering, and various industrial applications where pressure measurements need to be converted to liquid column heights.

4. Using the Calculator

Tips: Enter pressure difference in Pascals (Pa) and specific weight in Newtons per cubic meter (N/m³). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is specific weight of a fluid?
A: Specific weight is the weight per unit volume of a fluid, typically measured in N/m³. It's related to density by γ = ρg, where ρ is density and g is gravity.

Q2: How is this formula used in manometers?
A: In manometers, this formula converts pressure differences measured by the instrument into equivalent liquid column heights for easy reading and interpretation.

Q3: What are typical units for these measurements?
A: Pressure difference is typically in Pascals (Pa), specific weight in N/m³, and the resulting height difference in meters (m).

Q4: Does this formula work for all fluids?
A: Yes, the formula works for any fluid, but the specific weight value must be appropriate for the particular fluid being measured.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values. Accuracy depends on the precision of the pressure difference and specific weight measurements.