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How to Calculate Pressure Head

Pressure Head Formula:

\[ h = \frac{P}{\rho \times g} \]

Pa
kg/m³
m/s²
m

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1. What is Pressure Head?

Definition: Pressure head is the height of a liquid column that corresponds to a particular pressure exerted by the liquid.

Purpose: It's used in fluid mechanics to express pressure in terms of the height of a column of liquid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \frac{P}{\rho \times g} \]

Where:

Explanation: The pressure is divided by the product of density and gravity to convert pressure to an equivalent height of fluid.

3. Importance of Pressure Head Calculation

Details: Pressure head is crucial in hydraulics, pump systems, and fluid dynamics to understand energy distribution in fluid systems.

4. Using the Calculator

Tips: Enter the pressure in Pascals, fluid density (default 1000 kg/m³ for water), and gravitational acceleration (default 9.81 m/s²). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical density values?
A: Water is 1000 kg/m³, seawater ~1025 kg/m³, oil ~800-950 kg/m³ depending on type.

Q2: Why use pressure head instead of just pressure?
A: It provides an intuitive understanding of pressure in terms of fluid height, useful in many engineering applications.

Q3: What if I need to calculate pressure from head?
A: Rearrange the formula: \( P = h \times \rho \times g \).

Q4: Does this work for gases?
A: The principle applies, but gas density varies significantly with pressure and temperature.

Q5: What's the practical application of pressure head?
A: Used in designing water supply systems, pumps, hydroelectric plants, and understanding blood pressure in medical applications.

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