1. What is Slope of Equipotential Line?

The Slope of Equipotential Line represents the gradient of a line along which the potential remains constant in fluid flow. It is calculated as the ratio of the horizontal velocity component to the vertical velocity component.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \Phi \) — Slope of Equipotential Line
• \( u \) — Component of Velocity in X Direction (m/s)
• \( v \) — Component of Velocity in Y Direction (m/s)

Explanation: The formula calculates the slope by dividing the horizontal velocity component by the vertical velocity component.

3. Importance of Slope Calculation

Details: Calculating the slope of equipotential lines is crucial in fluid dynamics for analyzing flow patterns, understanding potential fields, and solving engineering problems related to fluid motion.

4. Using the Calculator

Tips: Enter both velocity components in m/s. All values must be valid positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What are equipotential lines in fluid flow?
A: Equipotential lines are curves along which the potential function has a constant value, representing lines of equal potential in the flow field.

Q2: How is slope related to velocity components?
A: The slope is directly proportional to the horizontal velocity component and inversely proportional to the vertical velocity component.

Q3: What units are used for velocity components?
A: Both velocity components should be in meters per second (m/s) for consistent results.

Q4: Can the slope be negative?
A: Yes, the slope can be negative if the velocity components have opposite signs, indicating direction changes in the flow field.

Q5: What applications use this calculation?
A: This calculation is used in aerodynamics, hydrodynamics, meteorology, and various engineering fields dealing with fluid flow analysis.