Outside Radius Of Rotating Member Given Power Loss Due To Leakage Of Fluid Through Face Seal Calculator

Formula Used:

\[ r_2 = \left( \frac{P_l}{\frac{\pi \cdot \nu \cdot w^2}{13200 \cdot t}} + r_1^4 \right)^{1/4} \]

Power Loss For Seal (P_l):

Watt

Kinematic Viscosity of Bush Seal Fluid (ν):

m²/s

Nominal Packing Cross Section of Bush Seal (w):

Meter

Thickness of Fluid Between Members (t):

Meter

Inner Radius of Rotating Member Inside Bush Seal (r₁):

Meter

Outer Radius of Rotating Member Inside Bush Seal (r₂):

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1. What is the Outer Radius Calculation Formula?

The formula calculates the outer radius of a rotating member inside a bushed packing seal based on power loss due to fluid leakage. It considers various fluid properties and geometric parameters to determine the appropriate outer radius for effective sealing.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_2 = \left( \frac{P_l}{\frac{\pi \cdot \nu \cdot w^2}{13200 \cdot t}} + r_1^4 \right)^{1/4} \]

Where:

\( r_2 \) — Outer Radius of Rotating Member Inside Bush Seal (Meter)
\( P_l \) — Power Loss For Seal (Watt)
\( \nu \) — Kinematic Viscosity of Bush Seal Fluid (m²/s)
\( w \) — Nominal Packing Cross Section of Bush Seal (Meter)
\( t \) — Thickness of Fluid Between Members (Meter)
\( r_1 \) — Inner Radius of Rotating Member Inside Bush Seal (Meter)
\( \pi \) — Archimedes' constant (≈3.1416)

Explanation: The equation accounts for fluid properties and geometric parameters to determine the outer radius that minimizes power loss due to fluid leakage through the face seal.

3. Importance of Outer Radius Calculation

Details: Accurate calculation of the outer radius is crucial for designing efficient sealing systems, minimizing power losses, and ensuring proper fluid containment in rotating machinery applications.

4. Using the Calculator

Tips: Enter all values in appropriate units (Watts for power, m²/s for viscosity, and Meters for dimensions). All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of power loss in seal design?
A: Power loss indicates energy dissipation due to fluid leakage, which affects system efficiency and may lead to premature seal failure if not properly addressed.

Q2: How does kinematic viscosity affect the outer radius calculation?
A: Higher viscosity fluids generally require different geometric parameters to maintain effective sealing with minimal power loss.

Q3: What is the nominal packing cross section?
A: This refers to the cross-sectional area of the packing material used in the bush seal, which influences the sealing effectiveness and fluid flow characteristics.

Q4: Why is the inner radius important in this calculation?
A: The inner radius serves as the baseline measurement from which the outer radius is calculated, ensuring proper clearance and sealing performance.

Q5: Are there limitations to this calculation method?
A: This formula provides theoretical values and should be validated with practical testing, as real-world conditions may vary due to manufacturing tolerances and operating conditions.