Density Of Molten Metal Using Bernoulli's Equation Calculator

Density of Metal Formula:

\[ \rho_m = \frac{W_c}{A_c \times t_{pt} \times C \times \sqrt{2 \times [g] \times H}} \]

Casting Mass (Wc):

Area of Choke Section of Sprue (Ac):

m²

Pouring Time (tpt):

Efficiency Factor of Gating System (C):

(0-1)

Effective Metal Head of Mould (H):

Density of Metal (ρm):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Density of Metal Formula?

The density of metal formula based on Bernoulli's equation calculates the density of molten metal using casting parameters. It provides an accurate assessment of metal density during the casting process.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ \rho_m = \frac{W_c}{A_c \times t_{pt} \times C \times \sqrt{2 \times [g] \times H}} \]

Where:

\( \rho_m \) — Density of Metal (kg/m³)
\( W_c \) — Casting Mass (kg)
\( A_c \) — Area of Choke Section of Sprue (m²)
\( t_{pt} \) — Pouring Time (s)
\( C \) — Efficiency Factor of Gating System (0-1)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( H \) — Effective Metal Head of Mould (m)

Explanation: The equation calculates metal density based on the flow characteristics and casting parameters using Bernoulli's principle.

3. Importance of Density Calculation

Details: Accurate density calculation is crucial for determining material properties, ensuring proper casting quality, and predicting the final product characteristics in metal casting processes.

4. Using the Calculator

Tips: Enter casting mass in kg, area in m², pouring time in seconds, efficiency factor (0-1), and effective metal head in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why use this specific formula for density calculation?
A: This formula based on Bernoulli's equation provides accurate density values by accounting for the flow dynamics and casting parameters in metal casting processes.

Q2: What are typical density values for common metals?
A: Aluminum: ~2700 kg/m³, Iron: ~7870 kg/m³, Copper: ~8960 kg/m³, though values vary based on alloy composition and temperature.

Q3: How does temperature affect metal density?
A: Metal density decreases with increasing temperature due to thermal expansion. The formula accounts for this through the casting parameters.

Q4: What is the efficiency factor of gating system?
A: It represents how effectively the gating system distributes molten metal, typically ranging from 0.6 to 0.9 for well-designed systems.

Q5: When should this calculation be used?
A: This calculation is particularly useful in foundry operations for quality control, material selection, and process optimization in metal casting.