Volumetric Flow Rate Under Laminar Flow Condition For Radial Bush Seal For Incompressible Fluid Calculator

Formula Used:

\[ q = \frac{c^3}{12 \mu} \cdot \frac{a - b}{a \cdot \ln\left(\frac{a}{b}\right)} \]

Radial Clearance For Seals (c):

Absolute Viscosity of Oil in Seals (μ):

Pa·s

Outer Radius of Plain Bush Seal (a):

Inner Radius of Plain Bush Seal (b):

Volumetric Flow Rate Per Unit Pressure (q):

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1. What is the Volumetric Flow Rate Under Laminar Flow Condition For Radial Bush Seal For Incompressible Fluid?

This equation calculates the volumetric flow rate per unit pressure for radial bush seals under laminar flow conditions for incompressible fluids. It's essential for designing and analyzing seal performance in various mechanical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ q = \frac{c^3}{12 \mu} \cdot \frac{a - b}{a \cdot \ln\left(\frac{a}{b}\right)} \]

Where:

\( q \) — Volumetric Flow Rate Per Unit Pressure (m³/s)
\( c \) — Radial Clearance For Seals (m)
\( \mu \) — Absolute Viscosity of Oil in Seals (Pa·s)
\( a \) — Outer Radius of Plain Bush Seal (m)
\( b \) — Inner Radius of Plain Bush Seal (m)

Explanation: This formula accounts for the laminar flow characteristics through the radial clearance of bush seals, considering the viscosity of the fluid and the geometric parameters of the seal.

3. Importance of Volumetric Flow Rate Calculation

Details: Accurate calculation of volumetric flow rate is crucial for seal design, leakage prediction, and ensuring proper lubrication in mechanical systems with radial bush seals.

4. Using the Calculator

Tips: Enter all values in SI units (meters for lengths, Pa·s for viscosity). Ensure that the outer radius is greater than the inner radius, and all values are positive.

5. Frequently Asked Questions (FAQ)

Q1: What is laminar flow condition?
A: Laminar flow is characterized by smooth, constant fluid motion in parallel layers with no disruption between them, typically occurring at low Reynolds numbers.

Q2: Why is radial clearance important in seal design?
A: Radial clearance directly affects leakage rates and friction in seals. Proper clearance ensures optimal performance and longevity of the sealing system.

Q3: What factors affect viscosity in seals?
A: Temperature, pressure, and the type of fluid significantly affect viscosity, which in turn influences the flow rate through the seal.

Q4: When is this formula applicable?
A: This formula is valid for incompressible fluids under laminar flow conditions through radial bush seals with constant clearance.

Q5: How does the radius ratio affect flow rate?
A: The natural logarithm term in the denominator accounts for the curvature effect, making the flow rate dependent on the ratio of outer to inner radius.