Name: carbonation flow and reynolds number
Uploaded: 2025-02-13T15:43:34.000Z
Duration: 1 min 9 s
Channel: JoVE

Consider a liquid that needs to be carbonated. Both the liquid and the carbon dioxide gas are cooled. The temperature is selected as 20 degrees Celsius to enhance carbon dioxide dissolution.
The carbon dioxide gas is pressurized to approximately 550 kPa to ensure sufficient carbonation.
Carbon dioxide is pumped at a steady flow rate through a pipe connecting two tanks.
Due to the high Reynolds number, which is greater than 4000, the flow of carbon dioxide is turbulent.
The carbon dioxide flow rate depends on the cross-sectional area of the pipe and the velocity of flow.
This velocity of flow is used in the Reynolds number equation, set equal to 5000, to derive a formula for the pipe diameter.
To find the pipe diameter, the dynamic viscosity of carbon dioxide at 20 degrees Celsius is obtained from the physical properties table.
Substituting these values into the equation provides the diameter of the pipe needed to achieve the desired flow conditions.

turbulent flow: problem solving

Turbulent Flow: Problem Solving

Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20&#176;C. Lower temperatures enhance the solubility of CO2, enabling a greater volume of gas to dissolve within the liquid. At this temperature, the CO2 gas is pressurized to approximately 550 kPa. Elevated pressure increases the partial pressure of CO2 over the liquid, further driving dissolution.
CO2 is pumped through a connecting pipe between two tanks, where the flow characteristics are crucial for maintaining steady carbonation. The high Reynolds number, defined as greater than 4000, indicates that the flow is turbulent rather than laminar. Turbulent flow improves gas-liquid contact by promoting mixing, which enhances CO2 dissolution in the liquid. The Reynolds number (Re) is calculated using the equation:
<img alt="Reynolds number equation: Re=&#961;VD/&#956;, fluid dynamics concept, dimensionless parameter." src="/files/ftp_upload/18079/18079_Equation_1.svg" style="text-align: center; height: 30px;" data-altupdatedat="1762173717000" data-alt="Equation 1" />
where:
<ol style="list-style-type: circle;">
	<li>&#961; is the density of CO2,</li>
	<li>v is the velocity of flow,</li>
	<li>D is the pipe diameter,</li>
	<li>&#956; is the dynamic viscosity of CO2.</li>
</ol>
The flow rate of CO2 in this system is controlled by the pipe's cross-sectional area and the velocity of the gas. To maintain turbulent conditions, the flow velocity v is adjusted based on the desired Reynolds number, which allows the required pipe diameter to be calculated.
The Reynolds number equation can be rearranged to determine the pipe diameter for the required turbulent flow. The dynamic viscosity &#956; of CO2 at 20&#176;C are obtained using physical property tables. The optimal pipe diameter can be calculated by substituting these values along with the target Reynolds number and flow velocity into the equation. This configuration ensures efficient CO2 transport through the system, optimizing the liquid's carbonation conditions.

Consider a liquid that needs to be carbonated. Both the liquid and the carbon dioxide gas are cooled. The temperature is selected as 20 degrees Celsius to ...

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JoVE Core

Civil Engineering

Unit 1

Flow in Pipes

KEY TERMS AND CONCEPTS

carbonation flow and reynolds number

Carbonation uses carbon dioxide gas to dissolve gas into a liquid, as in carbonated drinks. Efficient carbonation depends on temperature, pressure, and flow conditions. By controlling these factors, more CO2 can dissolve in the liquid.

Temperature plays a major role in CO2 solubility. Here, both the CO2 gas and the liquid are cooled to 20°C. Lower temperatures increase solubility, so a larger volume of gas can dissolve.

Pressure also helps drive carbonation. At 20°C, the CO2 gas is pressurized to about 550 kPa. Higher pressure raises the partial pressure of CO2 above the liquid, which pushes more gas into solution.

The gas moves through a connecting pipe between two tanks, and the flow must stay steady for good carbonation. A high Reynolds number, meaning greater than 4000, shows that the flow is turbulent rather than laminar. Turbulent flow creates better mixing and improves gas-liquid contact, which helps CO2 dissolve.

The Reynolds number is calculated from the density of CO2, the flow velocity, the pipe diameter, and the dynamic viscosity of CO2. In this system, the flow rate depends on the pipe's cross-sectional area and the gas velocity. To keep turbulent flow, the velocity can be adjusted and the Reynolds number equation can be rearranged to find the pipe diameter.

The dynamic viscosity of CO2 at 20°C is taken from physical property tables. These values, along with the target Reynolds number and flow velocity, are used to calculate the best pipe diameter. This setup helps CO2 move efficiently through the system and supports effective carbonation conditions.

Carbonation Flow and Reynolds Number

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Carbonation uses carbon dioxide gas to dissolve gas into a liquid, as in carbonated drinks. Efficient carbonation depends on temperature, pressure, and flow conditions. By controlling these factors, more CO2 can dissolve in the liquid. Temperature plays a major role in CO2 solubility. Here, both the CO2 gas and the liquid are cooled to 20°C. Lower temperatures increase solubility, so a larger volume of gas can dissolve. Pressure also helps drive carbonation. At 20°C, the CO2 gas is...

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Explore how temperature, pressure, and turbulent flow affect carbonation. Learn how Reynolds number helps determine pipe size for efficient CO2 mixing.

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civil engineering

Carbonation Flow and Reynolds Number

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