# Volumetric flow Rate Converter

Volumetric flow Rate Converter

# Flow Rate Calculator

This flow rate calculator uses flow velocity and cross-sectional flow area data to determine the volumetric flow rate of liquid. Volumetric Flow Rate = Flow Velocity * Cross-sectional Flow Area For this calculation, flow velocity should be in cm/s and cross-sectional flow area should be in cm2.

You can calculate the flow rate in five simple steps:

Shape: Circular (Full Pipe)Circular (Partially Full)TrapezoidalRectangular

Pipe Inside Diameter: mcmftinch

Bottom Width: mcmftinch

Depth: mcmftinch

Velocity: m/sft/s

## What is Volumetric Flow Rate?

The volumetric flow rate, which is also commonly referred to as the rate of liquid flow, is the volume of liquid that flows within a given unit of time. It is often denoted by the Q symbol.

The rate of flow of a liquid depends upon the area of the pipe or channel through which it is passing and the velocity of the liquid.

Units that are commonly used to measure volumetric flow rate are.m3/s (cubic meter per second), L/min (liters per minute), ft3/sec (cubic feet per second), ft3/min (cubic feet per minute, or CFM), and gal/min (gallons per minute, or GPM).

The volumetric flow rate (Q) can be computed as the product of the cross-sectional area (A) for flow and the average flow velocity (v) as follows:

Q = A * v

## Example:

We'll need an 8-inch deep channel for this design. Water is flowing at an average speed of 16 feet per second. The formula for determining the volumetric flow rate is as follows:

The flow rate will vary according to the cross-sectional area of the channel:

• Area = π * (Diameter)2 / 4
• Area = 3. 1415926 * (8/12 ft)2 / 4
• Area = 0. 349 ft2
• The area of the pipe is 0. 349 ft2. Using this information, we can determine the flow rate (Q) as follows:
• Q = Area * Velocity
• Q = (0. 349 ft2) * (16 ft/s)
• Q = 5. 584 ft3/s

Answer. In this example, the water flows through the circular channel at a rate of 5. 584 ft3/s.

## The Formulas for Calculating Flow Rate

The channel or pipe through which a liquid flows will normally have a circular, rectangular, or trapezoidal cross-section. The formula that is used to determine flow rate will vary according to this cross-sectional shape. You can approach this in several ways. Let's see them all.

### Calculating the Flow Rate in a Circular/Partially Full Circular Pipe

• The cross-sectional area of a full circular pipe can be determined as follows.A = π * (Diameter)2 / 4
• The flow rate (Q) can be written as.Q = (Velocity) * π * (Diameter)2 / 4
• The cross-sectional area of a partially full circular pipe can be determined as follows.A = (Diameter)2 * (theta sin(theta)) / 8
• The central angle in radians between the lines is drawn from the center of the pipe to the water surface on each side.
• The flow rate (Q), is thus as follows:
• Q = (Velocity) * (Diameter)2 * (theta sin(theta)) / 8

### Calculating the Flow Rate of a Rectangular Channel

The cross sectional area of a rectangular channel can be determined as follows.A = (Width) * (Depth)

The flow rate (Q), is thus as follows.Q = (Velocity) * (Width) * (Depth)

### Calculating the Flow Rate of a Trapezoidal Channel

The cross sectional area of a trapezoidal channel can be determined as follows.A = (Depth) * (Top Width + Bottom Width) / 2

The flow rate (Q), is thus as follows.Q = (Velocity) * (Depth) * (Top Width + Bottom Width) / 2

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