Projected Area of Solid Body Calculator

Projected Area Formula:

\[ A_p = \frac{2 \times F_D}{C_D \times \rho_l \times (v_{liquid})^2} \]

Drag Force (F_D):

Drag Coefficient (C_D):

Density of Liquid (ρ_l):

kg/m³

Velocity of Liquid (v_liquid):

m/s

Projected Area (A_p):

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1. What is Projected Area of Solid Body?

The projected area of a solid body is the two-dimensional area that the object presents to the fluid flow. It is a crucial parameter in calculating drag forces and understanding fluid dynamics around solid objects.

2. How Does the Calculator Work?

The calculator uses the projected area formula:

\[ A_p = \frac{2 \times F_D}{C_D \times \rho_l \times (v_{liquid})^2} \]

Where:

\( A_p \) — Projected area of solid particle body (m²)
\( F_D \) — Drag force (N)
\( C_D \) — Drag coefficient (dimensionless)
\( \rho_l \) — Density of liquid (kg/m³)
\( v_{liquid} \) — Velocity of liquid (m/s)

Explanation: This formula calculates the projected area based on the drag force experienced by the object, the fluid properties, and the object's drag characteristics.

3. Importance of Projected Area Calculation

Details: Accurate calculation of projected area is essential for designing objects that move through fluids, optimizing aerodynamic or hydrodynamic performance, and predicting drag forces in various engineering applications.

4. Using the Calculator

Tips: Enter drag force in newtons, drag coefficient (dimensionless), density in kg/m³, and velocity in m/s. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is drag coefficient?
A: Drag coefficient is a dimensionless quantity that quantifies the drag or resistance of an object in a fluid environment.

Q2: How does shape affect projected area?
A: Different shapes have different projected areas depending on their orientation relative to the fluid flow direction.

Q3: What are typical drag coefficient values?
A: Drag coefficients vary widely: sphere (0.47), cylinder (0.82-1.2), streamlined body (0.04-0.1), depending on Reynolds number.

Q4: When is this formula applicable?
A: This formula is applicable for calculating projected area when drag force, fluid properties, and velocity are known.

Q5: How does fluid density affect projected area?
A: Higher fluid density increases the drag force for the same velocity, which affects the calculated projected area.