Litres per hour (l/h) to Cubic Millimeters per second (mm3/s) conversion

Litres per hour to Cubic Millimeters per second conversion table

Litres per hour (l/h)Cubic Millimeters per second (mm3/s)
00
1277.77777777778
2555.55555555556
3833.33333333333
41111.1111111111
51388.8888888889
61666.6666666667
71944.4444444444
82222.2222222222
92500
102777.7777777778
205555.5555555556
308333.3333333333
4011111.111111111
5013888.888888889
6016666.666666667
7019444.444444444
8022222.222222222
9025000
10027777.777777778
1000277777.77777778

How to convert litres per hour to cubic millimeters per second?

Here's a breakdown of converting Litres per hour (L/h) to Cubic Millimeters per second (mm3/smm^3/s).

Understanding the Conversion

Converting between volume flow rates involves understanding the relationships between the units of volume (Litres and Cubic Millimeters) and the units of time (hours and seconds). The key is to apply the correct conversion factors sequentially.

Step-by-Step Conversion: Litres per hour to Cubic Millimeters per second

Here's how to convert 1 L/h to mm3/smm^3/s:

  1. Litres to Cubic Centimeters:

    • 1 Litre (L) = 1000 Cubic Centimeters (cm3cm^3).
  2. Cubic Centimeters to Cubic Millimeters:

    • 1 cm3cm^3 = 1000 mm3mm^3 (Since 1 cm = 10 mm, then 1cm3=(10mm)3=1000mm31 cm^3 = (10 mm)^3 = 1000 mm^3).
  3. Hours to Seconds:

    • 1 hour = 3600 seconds.

Now, let's combine these conversion factors:

1Lh=1Lh×1000cm31L×1000mm31cm3×1h3600s1 \frac{L}{h} = 1 \frac{L}{h} \times \frac{1000 \, cm^3}{1 \, L} \times \frac{1000 \, mm^3}{1 \, cm^3} \times \frac{1 \, h}{3600 \, s}

1Lh=1,000,0003600mm3s1 \frac{L}{h} = \frac{1,000,000}{3600} \frac{mm^3}{s}

1Lh277.78mm3s1 \frac{L}{h} \approx 277.78 \frac{mm^3}{s}

Therefore, 1 Litre per hour is approximately equal to 277.78 Cubic Millimeters per second.

Step-by-Step Conversion: Cubic Millimeters per second to Litres per hour

To convert 1 mm3/smm^3/s to L/h, we simply reverse the process:

  1. Cubic Millimeters to Cubic Centimeters:

    • 1 mm3mm^3 = 0.001 cm3cm^3
  2. Cubic Centimeters to Litres:

    • 1 cm3cm^3 = 0.001 L
  3. Seconds to Hours:

    • 1 second = 1/3600 hours

Now, let's combine these conversion factors:

1mm3s=1mm3s×1cm31000mm3×1L1000cm3×3600s1h1 \frac{mm^3}{s} = 1 \frac{mm^3}{s} \times \frac{1 \, cm^3}{1000 \, mm^3} \times \frac{1 \, L}{1000 \, cm^3} \times \frac{3600 \, s}{1 \, h}

1mm3s=36001,000,000Lh1 \frac{mm^3}{s} = \frac{3600}{1,000,000} \frac{L}{h}

1mm3s=0.0036Lh1 \frac{mm^3}{s} = 0.0036 \frac{L}{h}

Therefore, 1 Cubic Millimeter per second is equal to 0.0036 Litres per hour.

Real-World Examples

While direct conversion from L/h to mm3/smm^3/s might not be a commonly cited conversion in everyday situations, understanding flow rates is critical in many fields:

  • Medical: IV drip rates are carefully controlled and measured. While often expressed in drops per minute, this relates to a volume per time. Precise infusion rates ensure accurate medication delivery.
  • Automotive: Fuel injectors in car engines regulate fuel flow into the cylinders. The flow rate is critical for engine performance and efficiency. These rates can be calculated and expressed in various volume/time units.
  • Environmental Science: Measuring river flow rates is essential for water resource management. While typically measured in larger units (m3/sm^3/s), small flows or leakages might be considered using L/h.
  • Chemistry/Manufacturing: In chemical processes and manufacturing, controlling the flow of liquids is often crucial. Precise metering pumps are used to deliver specific volumes of liquids per unit of time.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Cubic Millimeters per second to other unit conversions.

What is litres per hour?

Litres per hour (L/h) is a common unit for measuring the rate at which a volume of liquid flows. Understanding its meaning and applications can be helpful in various fields.

Understanding Litres per Hour (L/h)

Litres per hour (L/h) is a unit of volume flow rate. It indicates the volume of liquid, measured in litres, that passes a specific point in one hour. In simpler terms, it tells you how many litres of a substance are moving per hour.

Formation of the Unit

The unit is formed by combining two fundamental units:

  • Litre (L): A metric unit of volume, defined as the volume of one kilogram of pure water at its maximum density (approximately 4°C).
  • Hour (h): A unit of time, equal to 60 minutes or 3600 seconds.

Therefore, 1 L/h means that one litre of a substance flows past a point in one hour.

Formula and Calculation

The flow rate (QQ) in litres per hour can be calculated using the following formula:

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

Where:

  • QQ = Flow rate (L/h)
  • VV = Volume (L)
  • tt = Time (h)

Real-World Examples

Litres per hour are used in many practical applications.

  • Water Usage: A household might use 500 L/h when all taps, showers, and appliances are running at once.
  • Medical Infusion: An IV drip might deliver medication at a rate of 0.1 L/h.
  • Fuel Consumption: A car might consume 5 L/h of fuel while idling.
  • Industrial Processes: A chemical plant might pump reactants at a rate of 2000 L/h into a reactor.
  • HVAC System: Condensate from a home air conditioner might drain at a rate of 1 L/h on a humid day.

Interesting Facts and Connections

While there isn't a specific "law" directly associated with litres per hour, the concept of flow rate is central to fluid dynamics, which is governed by laws like the Navier-Stokes equations. These equations describe the motion of viscous fluids and are fundamental in engineering and physics.

Conversion

Often, you might need to convert between L/h and other flow rate units. Here are some common conversions:

  • 1 L/h = 0.001 m3m^3/h (cubic meters per hour)
  • 1 L/h ≈ 0.264 US gallons per hour

What is Cubic Millimeters per Second?

Cubic millimeters per second (mm3/smm^3/s) is a unit of volumetric flow rate, indicating the volume of a substance passing through a specific area each second. It's a measure of how much volume flows within a given time frame. This unit is particularly useful when dealing with very small flow rates.

Formation of Cubic Millimeters per Second

The unit mm3/smm^3/s is derived from the base units of volume (cubic millimeters) and time (seconds).

  • Cubic Millimeter (mm3mm^3): A cubic millimeter is a unit of volume, representing a cube with sides that are each one millimeter in length.

  • Second (s): The second is the base unit of time in the International System of Units (SI).

Combining these, mm3/smm^3/s expresses the volume in cubic millimeters that flows or passes through a point in one second.

Flow Rate Formula

The flow rate (QQ) can be defined mathematically as:

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

Where:

  • QQ is the flow rate (mm3/smm^3/s).
  • VV is the volume (mm3mm^3).
  • tt is the time (s).

This formula indicates that the flow rate is the volume of fluid passing through a cross-sectional area per unit time.

Applications and Examples

While mm3/smm^3/s might seem like a very small unit, it's applicable in several fields:

  • Medical Devices: Infusion pumps deliver medication at precisely controlled, often very slow, flow rates. For example, a pump might deliver insulin at a rate of 5 mm3/smm^3/s.

  • Microfluidics: In microfluidic devices, used for lab-on-a-chip applications, reagents flow at very low rates. Reactions can be studied using flow rates of 1 mm3/smm^3/s.

  • 3D Printing: Some high resolution 3D printers using resin operate by very slowly dispensing material. The printer can be said to be pushing out material at 2 mm3/smm^3/s.

Relevance to Fluid Dynamics

Cubic millimeters per second relates directly to fluid dynamics, particularly in scenarios involving low Reynolds numbers, where flow is laminar and highly controlled. This is essential in applications requiring precision and minimal turbulence. You can learn more about fluid dynamics at Khan Academy's Fluid Mechanics Section.

Complete Litres per hour conversion table

Enter # of Litres per hour
Convert 1 l/h to other unitsResult
Litres per hour to Cubic Millimeters per second (l/h to mm3/s)277.77777777778
Litres per hour to Cubic Centimeters per second (l/h to cm3/s)0.2777777777778
Litres per hour to Cubic Decimeters per second (l/h to dm3/s)0.0002777777777778
Litres per hour to Cubic Decimeters per minute (l/h to dm3/min)0.01666666666667
Litres per hour to Cubic Decimeters per hour (l/h to dm3/h)1
Litres per hour to Cubic Decimeters per day (l/h to dm3/d)24
Litres per hour to Cubic Decimeters per year (l/h to dm3/a)8766
Litres per hour to Millilitres per second (l/h to ml/s)0.2777777777778
Litres per hour to Centilitres per second (l/h to cl/s)0.02777777777778
Litres per hour to Decilitres per second (l/h to dl/s)0.002777777777778
Litres per hour to Litres per second (l/h to l/s)0.0002777777777778
Litres per hour to Litres per minute (l/h to l/min)0.01666666666667
Litres per hour to Litres per day (l/h to l/d)24
Litres per hour to Litres per year (l/h to l/a)8766
Litres per hour to Kilolitres per second (l/h to kl/s)2.7777777777778e-7
Litres per hour to Kilolitres per minute (l/h to kl/min)0.00001666666666667
Litres per hour to Kilolitres per hour (l/h to kl/h)0.001
Litres per hour to Cubic meters per second (l/h to m3/s)2.7777777777778e-7
Litres per hour to Cubic meters per minute (l/h to m3/min)0.00001666666666667
Litres per hour to Cubic meters per hour (l/h to m3/h)0.001
Litres per hour to Cubic meters per day (l/h to m3/d)0.024
Litres per hour to Cubic meters per year (l/h to m3/a)8.766
Litres per hour to Cubic kilometers per second (l/h to km3/s)2.7777777777778e-16
Litres per hour to Teaspoons per second (l/h to tsp/s)0.0563567045
Litres per hour to Tablespoons per second (l/h to Tbs/s)0.01878556816667
Litres per hour to Cubic inches per second (l/h to in3/s)0.01695111815945
Litres per hour to Cubic inches per minute (l/h to in3/min)1.0170670895671
Litres per hour to Cubic inches per hour (l/h to in3/h)61.024025374023
Litres per hour to Fluid Ounces per second (l/h to fl-oz/s)0.009392784083333
Litres per hour to Fluid Ounces per minute (l/h to fl-oz/min)0.563567045
Litres per hour to Fluid Ounces per hour (l/h to fl-oz/h)33.8140227
Litres per hour to Cups per second (l/h to cup/s)0.001174098010417
Litres per hour to Pints per second (l/h to pnt/s)0.0005870490052083
Litres per hour to Pints per minute (l/h to pnt/min)0.0352229403125
Litres per hour to Pints per hour (l/h to pnt/h)2.11337641875
Litres per hour to Quarts per second (l/h to qt/s)0.0002935245026042
Litres per hour to Gallons per second (l/h to gal/s)0.00007338112565104
Litres per hour to Gallons per minute (l/h to gal/min)0.004402867539063
Litres per hour to Gallons per hour (l/h to gal/h)0.2641720523438
Litres per hour to Cubic feet per second (l/h to ft3/s)0.000009809634700287
Litres per hour to Cubic feet per minute (l/h to ft3/min)0.0005885780820172
Litres per hour to Cubic feet per hour (l/h to ft3/h)0.03531468492103
Litres per hour to Cubic yards per second (l/h to yd3/s)3.6331926968299e-7
Litres per hour to Cubic yards per minute (l/h to yd3/min)0.00002179915618098
Litres per hour to Cubic yards per hour (l/h to yd3/h)0.001307949370859

Volume flow rate conversions