Casting Mass Using Bernoulli's Equation Calculator

Bernoulli's Equation Formula:

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

Area of Choke Section of Sprue (A_c):

m²

Density of Metal (ρ_m):

kg/m³

Pouring Time (t_pt):

seconds

Efficiency Factor of Gating System (C):

Effective Metal Head of Mould (H):

meters

Casting Mass (W_c):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Bernoulli's Equation for Casting Mass?

Bernoulli's equation for casting mass calculates the weight of material required to form a casting based on fluid dynamics principles. It considers the flow of molten metal through the gating system and accounts for various factors that influence the casting process.

2. How Does the Calculator Work?

The calculator uses Bernoulli's equation:

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

Where:

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

Explanation: The equation accounts for the flow of molten metal through the gating system, considering gravitational forces and system efficiency.

3. Importance of Casting Mass Calculation

Details: Accurate casting mass calculation is crucial for determining material requirements, optimizing gating system design, ensuring proper mold filling, and minimizing material waste in foundry operations.

4. Using the Calculator

Tips: Enter all values in the specified units. The area should be in square meters, density in kg/m³, pouring time in seconds, efficiency factor as a decimal (0-1), and metal head in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the choke section of a sprue?
A: The choke section is the narrowest part of the sprue where the metal flow is constricted, controlling the flow rate into the mold cavity.

Q2: How is the efficiency factor determined?
A: The efficiency factor (typically 0.6-0.8) accounts for energy losses in the gating system due to friction, turbulence, and other flow restrictions.

Q3: Why is effective metal head important?
A: The effective metal head provides the driving force for metal flow into the mold. Higher head increases flow velocity but must be balanced to avoid mold erosion.

Q4: What are typical pouring times for different castings?
A: Pouring times vary from seconds for small castings to minutes for large ones, depending on complexity, metal type, and mold design.

Q5: Can this formula be used for all metals?
A: Yes, but the density value must be appropriate for the specific metal being cast (e.g., 7850 kg/m³ for steel, 2700 kg/m³ for aluminum).