Buoyant Force On Cylindrical Cores Placed Horizontally Calculator

Buoyant Force Formula:

\[ F_b = \frac{\pi}{4} \times D^2 \times [g] \times H_c \times (\rho_{cm} - \rho_c) \]

Diameter of Cylinder:

Cylinder Height:

Density of Core Metal:

kg/m³

Density of Core:

kg/m³

Buoyant Force:

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1. What is Buoyant Force on Cylindrical Cores?

Buoyant Force on Cylindrical Cores Placed Horizontally is the upward force exerted by a fluid on a cylindrical core that is placed horizontally in it. This force is crucial in casting processes to prevent core displacement during metal pouring.

2. How Does the Calculator Work?

The calculator uses the buoyant force formula:

\[ F_b = \frac{\pi}{4} \times D^2 \times [g] \times H_c \times (\rho_{cm} - \rho_c) \]

Where:

\( F_b \) — Buoyant Force (N)
\( D \) — Diameter of Cylinder (m)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( H_c \) — Cylinder Height (m)
\( \rho_{cm} \) — Density of Core Metal (kg/m³)
\( \rho_c \) — Density of Core (kg/m³)

Explanation: The formula calculates the upward force based on the volume of displaced fluid and the density difference between the core metal and core material.

3. Importance of Buoyant Force Calculation

Details: Accurate buoyant force calculation is essential in foundry processes to design proper core anchoring systems and prevent defects caused by core floating during metal solidification.

4. Using the Calculator

Tips: Enter diameter and height in meters, densities in kg/m³. All values must be positive numbers with diameter > 0, height > 0, and densities > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is buoyant force important in casting?
A: Buoyant force can cause core displacement during metal pouring, leading to casting defects and dimensional inaccuracies in the final product.

Q2: What factors affect buoyant force?
A: The main factors are core dimensions, density difference between core material and molten metal, and gravitational acceleration.

Q3: How can buoyant force be counteracted?
A: Through proper core anchoring, using chaplets, increasing core density, or reducing core volume in critical areas.

Q4: Does core orientation affect buoyant force?
A: Yes, buoyant force calculation differs for horizontally and vertically placed cores due to different displacement geometries.

Q5: What are typical density values for core materials?
A: Core densities typically range from 1500-2500 kg/m³ for sand cores, while molten metals range from 6800-8000 kg/m³ for ferrous metals.