Velocity Calculator from Flow Rate

Velocity Formula:

\[ v = \frac{Q}{A} \]

Velocity (v):

m/s

1. What is a Velocity Calculator from Flow Rate?

Definition: This calculator determines the velocity of a fluid based on its flow rate and the cross-sectional area of the pipe or channel.

Purpose: It helps engineers, hydrologists, and technicians calculate fluid velocity for pipe design, flow analysis, and hydraulic systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = \frac{Q}{A} \]

Where:

\( v \) — Velocity (meters per second, m/s)
\( Q \) — Flow rate (cubic meters per second, m³/s)
\( A \) — Cross-sectional area (square meters, m²)

Explanation: The flow rate is divided by the cross-sectional area to determine the average velocity of the fluid.

3. Importance of Velocity Calculation

Details: Proper velocity calculation ensures efficient pipe sizing, prevents erosion from high velocities, and ensures sufficient flow at low velocities.

4. Using the Calculator

Tips: Enter the flow rate in m³/s and cross-sectional area in m². All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculator?
A: The calculator uses metric units (m³/s for flow rate and m² for area), resulting in m/s for velocity.

Q2: Does this work for any fluid?
A: Yes, the formula applies to all incompressible fluids (water, oil, etc.) flowing through a defined area.

Q3: What if my pipe is circular?
A: Calculate area using \( A = \pi r^2 \) where r is the pipe radius in meters.

Q4: Is this the average or maximum velocity?
A: This calculates the average velocity. Maximum velocity in pipes is typically about 1.2× higher at the center.

Q5: How accurate is this calculation?
A: It provides theoretical average velocity. Real-world factors like friction, viscosity, and turbulence may affect actual velocity.