Horizontal Tank Level Calculator

Horizontal Tank Volume Formula:

\[ V = L \times \left( r^2 \cos^{-1}\left(\frac{r - h_{fill}}{r}\right) - (r - h_{fill})\sqrt{2rh_{fill} - h_{fill}^2} \right) \]

Liquid Volume:

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1. What is a Horizontal Tank Level Calculator?

Definition: This calculator estimates the volume of liquid in a partially filled horizontal cylindrical tank.

Purpose: It helps engineers, technicians, and operators determine liquid volumes in storage tanks for inventory management and process control.

2. How Does the Calculator Work?

The calculator uses the segment formula for a horizontal cylinder:

\[ V = L \times \left( r^2 \cos^{-1}\left(\frac{r - h}{r}\right) - (r - h)\sqrt{2rh - h^2} \right) \]

Where:

\( V \) — Volume of liquid (cubic units)
\( r \) — Tank radius (same units as height)
\( L \) — Tank length (same units as radius)
\( h \) — Fill height (same units as radius)

Explanation: The formula calculates the area of the circular segment created by the liquid surface and multiplies it by the tank length.

3. Importance of Tank Volume Calculation

Details: Accurate volume calculations are essential for inventory control, process operations, and regulatory compliance in industries like petroleum, chemical, and water treatment.

4. Using the Calculator

Tips: Enter the tank radius and length in consistent units, along with the current fill height. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: You can use any units (meters, feet, inches) as long as all dimensions use the same unit.

Q2: What if my tank is completely full?
A: The calculator will give you the total tank volume (πr²L) when fill height equals twice the radius (diameter).

Q3: What if my tank is vertical?
A: For vertical tanks, use a simpler formula: V = πr²h where h is the fill height.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect cylinders. Real-world tanks may have variations due to construction.

Q5: Does this account for tank ends?
A: No, this assumes flat ends. For domed or dished ends, additional calculations are needed.