Pressure Intensity At Radial Distance R From Axis Calculator

Formula Used:

\[ P_{Abs} = \gamma \times \left( \frac{(\omega \times d_r)^2}{2 \times g} - d_r \times \cos\left(\frac{\pi}{180} \times m\right) + d_v \right) \]

Specific Weight of Liquid (γ):

N/m³

Angular Velocity (ω):

rad/s

Radial Distance from Central Axis (d_r):

Slope of Line (m):

degrees

Vertical Distance of Flow (d_v):

Absolute Pressure (P_Abs):

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1. What is Pressure Intensity at Radial Distance?

Pressure intensity at radial distance from axis refers to the absolute pressure at a specific radial position in a rotating fluid system. It accounts for centrifugal forces, gravitational effects, and geometric parameters of the system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{Abs} = \gamma \times \left( \frac{(\omega \times d_r)^2}{2 \times g} - d_r \times \cos\left(\frac{\pi}{180} \times m\right) + d_v \right) \]

Where:

\( P_{Abs} \) — Absolute Pressure (Pa)
\( \gamma \) — Specific Weight of Liquid (N/m³)
\( \omega \) — Angular Velocity (rad/s)
\( d_r \) — Radial Distance from Central Axis (m)
\( m \) — Slope of Line (degrees)
\( d_v \) — Vertical Distance of Flow (m)
\( g \) — Gravitational acceleration (9.80665 m/s²)
\( \pi \) — Archimedes' constant (3.141592653589793)

Explanation: The formula calculates pressure intensity by considering centrifugal acceleration, gravitational components, and vertical distance in a rotating fluid system.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for designing rotating machinery, analyzing fluid dynamics in centrifugal systems, and ensuring structural integrity in engineering applications involving rotating fluids.

4. Using the Calculator

Tips: Enter specific weight in N/m³, angular velocity in rad/s, radial distance in meters, slope in degrees, and vertical distance in meters. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is specific weight of liquid?
A: Specific weight is the weight per unit volume of a liquid, typically measured in N/m³. For water at 4°C, it's approximately 9810 N/m³.

Q2: How does angular velocity affect pressure?
A: Higher angular velocity increases centrifugal forces, leading to higher pressure at radial distances from the axis of rotation.

Q3: What does the slope parameter represent?
A: The slope (m) represents the angle of inclination of the surface or flow path relative to the horizontal plane.

Q4: When is this calculation typically used?
A: This calculation is used in centrifugal pumps, turbines, rotating cylinders, and other applications involving rotating fluid systems.

Q5: Are there limitations to this formula?
A: The formula assumes ideal fluid behavior and may need adjustments for viscous effects, turbulence, or complex geometries in real-world applications.