Understanding Cubic feet per hour to Centilitres per second Conversion
Cubic feet per hour () and centilitres per second () are both units of volumetric flow rate, which describes how much volume moves through a system over time. Cubic feet per hour is commonly associated with imperial or U.S. customary measurement contexts, while centilitres per second is a metric-based unit. Converting between them is useful in engineering, ventilation, fluid handling, laboratory work, and equipment specifications that use different measurement systems.
Conversion Formula
The verified conversion relationships are:
To convert from cubic feet per hour to centilitres per second, use:
To convert from centilitres per second to cubic feet per hour, use:
Step-by-Step Example
Consider a flow rate of , which could represent a small air or gas flow in a controlled system.
1. Write the formula
2. Substitute the value
3. Calculate
So:
Real-World Examples
- A laboratory gas line delivering can be expressed in centilitres per second when comparing with metric instrument specifications.
- A small ventilation branch rated at may need conversion to for use in international technical documentation.
- A calibration setup for fluid transfer operating at may be converted to centilitres per second for compatibility with metric sensors.
- A low-flow industrial process stream measured at can be translated into when matching output values between imperial and metric control systems.
Interesting Facts
- The cubic foot is an imperial and U.S. customary unit of volume derived from the foot, and it is still widely used in HVAC, natural gas measurement, and industrial airflow applications. Source: Wikipedia: Cubic foot
- The litre is a metric unit of volume accepted for use with the International System of Units, and a centilitre is one-hundredth of a litre. This makes a convenient smaller-scale flow unit for liquids and gases in scientific and technical contexts. Source: NIST SI units – accepted units
Summary
Cubic feet per hour and centilitres per second both describe volume flow rate, but they belong to different measurement traditions. The key verified conversion factor is:
For reverse conversion, use:
These formulas make it possible to compare airflow, gas flow, or liquid flow values across equipment manuals, technical standards, and measurement systems.
How to Convert Cubic feet per hour to Centilitres per second
To convert Cubic feet per hour to Centilitres per second, multiply the flow rate by the unit conversion factor. In this case, the verified factor is .
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Write the given value: Start with the flow rate you want to convert.
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Use the conversion factor: Apply the verified factor from Cubic feet per hour to Centilitres per second.
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Set up the multiplication: Multiply the given value by the conversion factor so the units change directly.
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Calculate the result: Perform the multiplication.
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Result:
A quick check is to confirm that multiplying by a value less than 1 makes the number smaller, which fits here. For similar volume flow conversions, always verify whether the time unit also changes, since that affects the factor.
Cubic feet per hour to Centilitres per second conversion table
| Cubic feet per hour (ft3/h) | Centilitres per second (cl/s) |
|---|---|
| 0 | 0 |
| 1 | 0.7865786666337 |
| 2 | 1.5731573332675 |
| 3 | 2.3597359999012 |
| 4 | 3.1463146665349 |
| 5 | 3.9328933331687 |
| 6 | 4.7194719998024 |
| 7 | 5.5060506664362 |
| 8 | 6.2926293330699 |
| 9 | 7.0792079997036 |
| 10 | 7.8657866663374 |
| 15 | 11.798679999506 |
| 20 | 15.731573332675 |
| 25 | 19.664466665843 |
| 30 | 23.597359999012 |
| 40 | 31.463146665349 |
| 50 | 39.328933331687 |
| 60 | 47.194719998024 |
| 70 | 55.060506664362 |
| 80 | 62.926293330699 |
| 90 | 70.792079997036 |
| 100 | 78.657866663374 |
| 150 | 117.98679999506 |
| 200 | 157.31573332675 |
| 250 | 196.64466665843 |
| 300 | 235.97359999012 |
| 400 | 314.63146665349 |
| 500 | 393.28933331687 |
| 600 | 471.94719998024 |
| 700 | 550.60506664362 |
| 800 | 629.26293330699 |
| 900 | 707.92079997036 |
| 1000 | 786.57866663374 |
| 2000 | 1573.1573332675 |
| 3000 | 2359.7359999012 |
| 4000 | 3146.3146665349 |
| 5000 | 3932.8933331687 |
| 10000 | 7865.7866663374 |
| 25000 | 19664.466665843 |
| 50000 | 39328.933331687 |
| 100000 | 78657.866663374 |
| 250000 | 196644.66665843 |
| 500000 | 393289.33331687 |
| 1000000 | 786578.66663374 |
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.
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:
Where:
- = Volume flow rate (ft³/hour)
- = Cross-sectional area of the flow (ft²)
- = Average velocity of the flow (ft/hour)
Another way to calculate it is:
Where:
- = Volume flow rate (ft³/hour)
- = Volume (ft³)
- = 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 centilitres per second?
Centilitres per second (cL/s) is a unit used to measure volume flow rate, indicating the volume of fluid that passes a given point per unit of time. It's a relatively small unit, often used when dealing with precise or low-volume flows.
Understanding Centilitres per Second
Centilitres per second expresses how many centilitres (cL) of a substance move past a specific location in one second. Since 1 litre is equal to 100 centilitres, and a litre is a unit of volume, centilitres per second is derived from volume divided by time.
- 1 litre (L) = 100 centilitres (cL)
- 1 cL = 0.01 L
Therefore, 1 cL/s is equivalent to 0.01 litres per second.
Calculation of Volume Flow Rate
Volume flow rate () can be calculated using the following formula:
Where:
- = Volume flow rate
- = Volume (in centilitres)
- = Time (in seconds)
Alternatively, if you know the cross-sectional area () through which the fluid is flowing and its average velocity (), the volume flow rate can also be calculated as:
Where:
- = Volume flow rate (in cL/s if A is in and is in cm/s)
- = Cross-sectional area
- = Average velocity
For a deeper dive into fluid dynamics and flow rate, resources like Khan Academy's Fluid Mechanics section provide valuable insights.
Real-World Examples
While centilitres per second may not be the most common unit in everyday conversation, it finds applications in specific scenarios:
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Medical Infusion: Intravenous (IV) drips often deliver fluids at rates measured in millilitres per hour or, equivalently, a fraction of a centilitre per second. For example, delivering 500 mL of saline solution over 4 hours equates to approximately 0.035 cL/s.
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Laboratory Experiments: Precise fluid dispensing in chemical or biological experiments might involve flow rates measured in cL/s, particularly when using microfluidic devices.
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Small Engine Fuel Consumption: The fuel consumption of very small engines, like those in model airplanes or some specialized equipment, could be characterized using cL/s.
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Dosing Pumps: The flow rate of dosing pumps could be measured in centilitres per second.
Associated Laws and People
While there isn't a specific law or well-known person directly associated solely with the unit "centilitres per second," the underlying principles of fluid dynamics and flow rate are governed by various laws and principles, often attributed to:
- Blaise Pascal: Pascal's Law is fundamental to understanding pressure in fluids.
- Daniel Bernoulli: Bernoulli's principle relates fluid speed to pressure.
- Osborne Reynolds: The Reynolds number is used to predict flow patterns, whether laminar or turbulent.
These figures and their contributions have significantly advanced the study of fluid mechanics, providing the foundation for understanding and quantifying flow rates, regardless of the specific units used.
Frequently Asked Questions
What is the formula to convert Cubic feet per hour to Centilitres per second?
To convert Cubic feet per hour to Centilitres per second, multiply the value in by the verified factor .
The formula is: .
How many Centilitres per second are in 1 Cubic foot per hour?
There are exactly Centilitres per second in Cubic foot per hour.
So, .
Why would I convert Cubic feet per hour to Centilitres per second?
This conversion is useful when comparing gas or liquid flow rates across systems that use different unit standards.
It can also help in laboratory work, industrial flow measurement, and equipment specifications where smaller per-second metric units are easier to read.
Can I use this conversion for airflow and liquid flow?
Yes, the unit conversion itself is valid for any volumetric flow, whether it is air, gas, or liquid.
The relationship only changes the units, not the physical substance being measured.
How do I convert a larger ft3/h value to cl/s?
Multiply the flow rate in by to get the result in .
For example, if a device is rated in Cubic feet per hour, applying the formula gives the equivalent metric flow rate.
Is the conversion factor always the same?
Yes, the factor is constant because it is based on fixed unit definitions.
For every conversion from Cubic feet per hour to Centilitres per second, use .