Cubic feet per hour (ft³/h) to Millilitres per second (ml/s) conversion

What is Cubic feet per hour?

Cubic feet per hour (CFH) is a unit used to measure the volumetric flow rate. It represents the volume of a substance (gas or liquid) that passes through a specific area per hour, measured in cubic feet. It's a common unit in various fields, especially when dealing with gas and air flow.

Definition of Cubic Feet per Hour

Cubic feet per hour (CFH) is defined as the volume of a substance, measured in cubic feet, that flows past a point in one hour.

$$1 \text{ CFH} = 1 \frac{\text{ft}^3}{\text{hour}}$$

How CFH is Formed

CFH is derived from the basic units of volume (cubic feet) and time (hour). It directly expresses how many cubic feet of a substance move within one hour. No special law or constant is specifically tied to the definition of CFH itself. It is a direct measure of flow rate, useful in practical applications.

Calculating Volume Flow Rate

The volume flow rate (Q) in cubic feet per hour can be determined using the following formula:

$$Q = A \cdot v$$

Where:

• $Q$ = Volume flow rate (ft³/hour)
• $A$ = Cross-sectional area of the flow (ft²)
• $v$ = Average velocity of the flow (ft/hour)

Another way to calculate it is:

$$Q = \frac{V}{t}$$

Where:

• $Q$ = Volume flow rate (ft³/hour)
• $V$ = Volume (ft³)
• $t$ = Time (hours)

Real-World Examples of CFH

• Natural Gas Consumption: Home appliances like furnaces, water heaters, and stoves are rated in terms of CFH to indicate their natural gas consumption. A typical furnace might consume 80-120 CFH of natural gas.
• HVAC Systems: Air conditioning and ventilation systems use CFH to measure the airflow rate in ductwork. A residential HVAC system might require airflow rates between 400 and 1600 CFH, depending on the size of the home.
• Compressed Air Systems: Pneumatic tools and equipment in factories use compressed air. The compressor output is often rated in CFH or cubic feet per minute (CFM, which can easily be converted to CFH by multiplying by 60) to indicate the volume of air it can supply.
• Industrial Processes: Many industrial processes, such as chemical manufacturing or food processing, involve controlling the flow rate of liquids or gases. CFH can be used to specify the desired flow rate of a particular fluid. For example, a chemical reactor might require a flow of 50 CFH of nitrogen gas.
• Ventilation Systems: Exhaust fans in bathrooms or kitchens are often rated in CFM (cubic feet per minute), which can be converted to CFH. A typical bathroom exhaust fan might be rated at 50-100 CFM, which equals 3000-6000 CFH.

What is the millilitre per second?

Millilitres per second (mL/s) is a unit of volumetric flow rate, describing the volume of fluid that passes through a given point per unit of time. It's commonly used in various fields where precise measurement of small fluid volumes is essential.

Definition of Millilitres per Second

Millilitres per second (mL/s) is a derived unit. It combines the metric unit of volume, the milliliter (mL), with the SI unit of time, the second (s). One milliliter is equal to one cubic centimeter ($1 \text{ mL} = 1 \text{ cm}^3$). Therefore, 1 mL/s is equivalent to 1 cubic centimeter of fluid flowing past a point in one second.

How Millilitres per Second is Formed

The unit is formed by expressing volume in milliliters and dividing it by time in seconds.

$$\text{Flow Rate} = \frac{\text{Volume}}{\text{Time}}$$

$$\text{Flow Rate (mL/s)} = \frac{\text{Volume (mL)}}{\text{Time (s)}}$$

Common Applications and Examples

• Medical Applications: Infusion pumps deliver medication at precise rates, often measured in mL/s. For instance, a doctor might prescribe an IV drip at a rate of 0.5 mL/s.
• Laboratory Experiments: Chemical reactions and experiments often require precise control over the flow of liquids. Microfluidic devices frequently operate in the mL/s range or even lower.
• Small Engine Fuel Consumption: The fuel consumption of a small engine, like a lawnmower, can be expressed in mL/s. For example, an engine might consume 2 mL/s of gasoline at idle.
• 3D Printing: In material extrusion 3D printing, the flow rate of the melted filament is often controlled and can be expressed in mL/s.
• Water flow from faucets: A slowly dripping faucet might release water at a rate of approximately 0.1 mL/s. A fully open faucet might release water at a rate of 200 mL/s.

Relationship to Other Units

Millilitres per second can be converted to other volumetric flow rate units:

• Liters per second (L/s): 1 L/s = 1000 mL/s
• Cubic meters per second ($m^3/s$): 1 $m^3/s$ = 1,000,000 mL/s
• Gallons per minute (GPM): 1 GPM ≈ 0.0630902 L/s ≈ 63.0902 mL/s

Notable Figures and Laws

While no specific law is directly associated with milliliters per second, the concept of flow rate is fundamental in fluid dynamics. Key figures in this field include:

• Daniel Bernoulli: Known for Bernoulli's principle, which relates fluid speed to pressure.
• Osborne Reynolds: Known for the Reynolds number, which helps predict flow patterns in fluids.

For further reading on fluid dynamics, refer to Introduction to Fluid Dynamics on The LibreTexts libraries.