Static Viscosity Of Plate Using Chord Length For Flat Plate Case Calculator

Formula Used:

\[ \mu_e = \frac{\rho_e \times u_e \times L_{Chord}}{Re_c} \]

Static Density (ρe):

kg/m³

Static Velocity (ue):

m/s

Chord Length (LChord):

Reynolds Number Using Chord Length (Rec):

Static Viscosity (μe):

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1. What Is Static Viscosity?

Static viscosity is the viscosity of continuous flow, measuring the ratio of the viscous force to the inertial force on the fluid. It represents the internal resistance of a fluid to flow when no external forces are applied.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ \mu_e = \frac{\rho_e \times u_e \times L_{Chord}}{Re_c} \]

Where:

\( \mu_e \) — Static viscosity (Pa·s)
\( \rho_e \) — Static density (kg/m³)
\( u_e \) — Static velocity (m/s)
\( L_{Chord} \) — Chord length (m)
\( Re_c \) — Reynolds number using chord length

Explanation: This formula calculates the static viscosity of a plate using chord length parameters for flat plate case analysis in fluid dynamics.

3. Importance Of Static Viscosity Calculation

Details: Accurate static viscosity calculation is crucial for analyzing fluid flow behavior, predicting drag forces, designing aerodynamic surfaces, and understanding boundary layer development in various engineering applications.

4. Using The Calculator

Tips: Enter static density in kg/m³, static velocity in m/s, chord length in meters, and Reynolds number. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between static and dynamic viscosity?
A: Static viscosity refers to the viscosity of a fluid at rest or in continuous flow, while dynamic viscosity specifically measures resistance to flow under applied shear stress.

Q2: Why is chord length used in this calculation?
A: Chord length provides a characteristic length scale for Reynolds number calculation in aerodynamic applications, particularly for airfoils and wing sections.

Q3: What are typical values for static viscosity?
A: Static viscosity values vary widely by fluid. Air at 20°C has about 1.8×10⁻⁵ Pa·s, while water has about 1.0×10⁻³ Pa·s at the same temperature.

Q4: How does temperature affect static viscosity?
A: For liquids, viscosity generally decreases with increasing temperature, while for gases, viscosity typically increases with temperature.

Q5: What are the limitations of this formula?
A: This formula assumes Newtonian fluid behavior and may not be accurate for non-Newtonian fluids, compressible flows, or flows with significant temperature variations.