Width Of Plate For Drag Force On Plate Calculator

Formula Used:

\[ b = \frac{F_D}{0.73 \times \mu \times V_{\infty} \times \sqrt{Re}} \]

Drag Force on Boundary Layer Flow Plate (F_D):

Viscosity of Fluid for Boundary Layer Flow (μ):

Pa·s

Freestream Velocity for Boundary Layer Flow (V_∞):

m/s

Reynolds Number for Boundary Layer Flow (Re):

Breadth of Plate for Boundary Layer Flow (b):

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1. What is the Width of Plate Formula?

The formula calculates the breadth of plate for boundary layer flow based on drag force, fluid viscosity, freestream velocity, and Reynolds number. It's derived from boundary layer theory and drag force relationships in fluid mechanics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = \frac{F_D}{0.73 \times \mu \times V_{\infty} \times \sqrt{Re}} \]

Where:

\( b \) — Breadth of plate for boundary layer flow (m)
\( F_D \) — Drag force on boundary layer flow plate (N)
\( \mu \) — Viscosity of fluid for boundary layer flow (Pa·s)
\( V_{\infty} \) — Freestream velocity for boundary layer flow (m/s)
\( Re \) — Reynolds number for boundary layer flow

Explanation: The formula relates the plate width to the drag force experienced, accounting for fluid properties and flow conditions through viscosity, velocity, and Reynolds number.

3. Importance of Plate Width Calculation

Details: Calculating plate width is essential for designing fluid systems, optimizing heat transfer surfaces, and understanding drag forces in boundary layer flows for various engineering applications.

4. Using the Calculator

Tips: Enter drag force in Newtons, viscosity in Pascal-seconds, velocity in meters per second, and Reynolds number as a dimensionless quantity. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is boundary layer flow?
A: Boundary layer flow refers to the thin layer of fluid immediately adjacent to a solid surface where viscous effects are significant.

Q2: Why is the Reynolds number important in this calculation?
A: The Reynolds number characterizes the flow regime (laminar or turbulent) and affects the drag force and boundary layer development.

Q3: What are typical values for fluid viscosity?
A: Water at 20°C has viscosity of about 0.001 Pa·s, while air has about 0.000018 Pa·s. Viscosity decreases with temperature for liquids but increases for gases.

Q4: When is this formula applicable?
A: This formula is valid for flat plates in boundary layer flow and assumes certain flow conditions and plate geometry.

Q5: How does plate width affect drag force?
A: For a given flow condition, wider plates generally experience greater drag forces due to increased surface area exposed to the flow.