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How Long Does It Take A Water Bottle To Freeze

Published:

Modified: December 28, 2023

by Dominga Mariano

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Introduction

When it comes to traveling, having the right essentials and accessories can greatly enhance your experience. Whether you’re embarking on a long-haul flight or exploring a new destination, having the right tools can make your journey more comfortable, convenient, and enjoyable.

 

In this comprehensive guide, we will explore a range of travel essentials and accessories that you shouldn’t leave home without. From practical items that can help you stay organized and secure your belongings to accessories that can enhance your travel photography and keep you entertained, we’ve got you covered.

 

But before we dive into the specific products, it’s important to understand how to choose the right travel essentials and accessories for your needs. Factors such as functionality, durability, and portability should be taken into consideration to ensure that your purchases withstand the rigors of travel.

 

In addition, we’ll explore the importance of SEO optimization in this guide. By incorporating relevant keywords throughout the article, we can improve its visibility in search engine results and provide valuable information to those searching for travel essentials and accessories. So, let’s get started and find out the must-have items for your next adventure!

 

Factors That Affect Freezing Time

When it comes to freezing water in a bottle, several factors come into play that can affect the time it takes for the water to freeze completely. Understanding these factors can be helpful in planning ahead and ensuring that you have chilled water at the desired time.

 

Here are the key factors that influence the freezing time:

  1. Initial Water Temperature: The starting temperature of the water in the bottle is one of the most significant factors determining freezing time. The colder the water is to begin with, the faster it will freeze. If you want to speed up the freezing process, consider chilling the water in your refrigerator before placing it in the freezer.
  2. Bottle Material: The material of the water bottle can also impact freezing time. Materials that conduct heat more efficiently, such as metal, can transfer the cold temperature more quickly to the water, resulting in faster freezing. On the other hand, bottles made of thicker and less conductive materials like plastic may slow down the freezing process.
  3. Bottle Size and Shape: The size and shape of the water bottle can affect the freezing time as well. Smaller bottles with less water volume tend to freeze faster than larger ones. Similarly, bottles with a narrower opening may freeze faster since there is less surface area exposed to the surrounding air.
  4. Surrounding Temperature: The temperature of the freezer or the environment in which the bottle is placed plays a role in freezing time. If the freezer is set to a lower temperature, the water will freeze more quickly. Additionally, if you place the bottle in a colder area of the freezer where airflow is more consistent, it can expedite the freezing process.
  5. Insulation and Enclosure: The insulation properties of the bottle and its enclosure can impact freezing time. Bottles with insulation layers or double-walled construction can help retain cold temperatures and speed up freezing. Similarly, keeping the bottle in an insulated cooler or bag can prevent heat transfer from the surrounding environment and promote faster freezing.

By taking these factors into consideration, you can gauge the approximate time required for your water bottle to freeze. However, keep in mind that these are general guidelines and the actual freezing time may vary depending on the specific conditions and variables involved.

 

Initial Water Temperature

The initial temperature of the water in the bottle is a crucial factor that significantly affects the freezing time. The colder the water is to begin with, the faster it will freeze. When you place a bottle of water with a lower initial temperature in the freezer, the temperature difference between the water and the freezer is greater, causing the water to lose heat rapidly and freeze more quickly.

 

If you want to expedite the freezing process, consider chilling the water before placing it in the freezer. You can achieve this by keeping the water in the refrigerator for some time before transferring it to the freezer. The colder the water becomes before freezing, the shorter the freezing time will be.

 

Keep in mind that the rate of temperature decrease is not linear. In the beginning, the water temperature drops rapidly, but as it gets closer to the freezing point, the rate slows down. This is due to the laws of thermodynamics and the heat transfer dynamics involved in the freezing process.

 

It’s worth noting that extremely cold temperatures can have adverse effects on the quality of the water. Freezing water at very low temperatures, such as below -20°C (-4°F), can lead to a change in the structure of the water molecules. This can result in a ‘slushy’ texture or a cloudy appearance in the water when it thaws. Therefore, it’s generally recommended to freeze water at temperatures that are slightly above freezing (around 0°C or 32°F) to maintain its quality.

 

By considering the initial water temperature and taking steps to lower it before placing the bottle in the freezer, you can decrease the freezing time and have a chilled water supply ready for your next adventure.

 

Bottle Material

The material of the water bottle can also have an impact on the freezing time. Different materials have varying properties when it comes to conducting heat, which can affect how quickly the cold temperature is transferred to the water inside.

 

Materials that conduct heat more efficiently, such as metal, can lead to faster freezing times. Metal bottles, like stainless steel, have high thermal conductivity, allowing them to transfer the cold temperature from the freezer to the water more effectively. As a result, water in metal bottles tends to freeze relatively quickly.

 

On the other hand, bottles made of thicker and less conductive materials like plastic may slow down the freezing process. Plastic is not as efficient in transferring heat, so the cold temperature from the freezer takes longer to reach the water inside the bottle. This can result in a longer freezing time compared to metal bottles.

 

Another factor to consider is the thickness of the bottle material. Thicker bottles will provide more insulation and can therefore slow down the freezing process. Thinner bottles, especially those made of metal, allow heat transfer to occur more readily and can result in faster freezing.

 

It’s important to note that while metal bottles may offer faster freezing times, they can also become extremely cold to the touch. This can be inconvenient and uncomfortable, especially if you plan to hold the bottle directly. In such cases, using a sleeve or cover can help insulate the bottle and protect your hands from the cold.

 

Ultimately, the choice of bottle material depends on your preferences and needs. If fast freezing time is a priority for you, a metal bottle may be the way to go. However, if other factors like durability, weight, or insulation are more important, a plastic or insulated bottle may be a better option.

 

Bottle Size and Shape

The size and shape of the water bottle can also influence the freezing time. Generally, smaller bottles with a smaller water volume tend to freeze faster than larger bottles. This is because there is less water to be cooled, and therefore, the cold temperature from the freezer can dissipate quickly throughout the bottle.

 

On the other hand, larger bottles take longer to freeze as they have a larger water volume that needs to reach the freezing point. The temperature needs to penetrate deeper into the bottle, resulting in a longer freezing time. So, if you’re in a hurry and need a chilled bottle of water quickly, opting for a smaller-sized bottle can speed up the freezing process.

 

The shape of the bottle can also play a role in freezing time. Generally, bottles with a narrow opening or neck tend to freeze faster than those with a wide opening. This is because there is less surface area exposed to the surrounding air, minimizing the heat exchange with the freezer’s environment. As a result, the water can freeze more quickly.

 

However, it’s important to note that the difference in freezing time between bottles of different sizes and shapes may not be significant. While a smaller or more narrow bottle may freeze faster than a larger or wide-mouthed bottle, the overall difference may just be a matter of minutes or a few hours in extreme cases.

 

Additionally, it’s worth considering your specific needs when choosing the size and shape of your water bottle. If you require a larger water supply for extended periods, even if it means a longer freezing time, a larger bottle would be more suitable. Similarly, a wider-mouthed bottle may be more convenient for filling and cleaning purposes.

 

Ultimately, the size and shape of the water bottle should be chosen based on your personal preference, convenience, and the specific needs of your travel or daily routine. While the freezing time may be influenced by these factors, it’s important to balance it with other considerations to find the perfect water bottle for your use.

 

Surrounding Temperature

The temperature of the freezer or the environment in which the water bottle is placed plays a significant role in the freezing time. The colder the surroundings, the faster the water will freeze. Freezers are typically set to temperatures below 0°C (32°F), which creates an environment conducive to rapid freezing.

 

If your freezer has adjustable temperature settings, setting it to a lower temperature can speed up the freezing process. A lower freezer temperature means a greater temperature difference between the water and the freezer, causing the water to lose heat more rapidly and freeze more quickly.

 

It’s important to note that the location within the freezer can also impact freezing time. Certain areas of the freezer may have better airflow or a colder temperature, allowing for faster freezing. For example, placing the water bottle in the back of the freezer, where the cold air circulates more effectively, can expedite the freezing process.

 

Furthermore, the ambient temperature of the room or area where the water bottle is stored can affect freezing time. If the surrounding temperature is colder, it can help speed up the freezing process by facilitating heat transfer from the water to the environment.

 

On the other hand, if the ambient temperature is warmer, it may slow down the freezing process. Heat from the surrounding environment can hinder the transfer of cold temperature to the water inside the bottle, leading to a longer freezing time. It’s advisable to keep the water bottle in a cooler or insulated bag to minimize heat transfer and maintain a colder environment around the bottle.

 

By considering the surrounding temperature and adjusting the freezer settings or choosing the right storage location, you can optimize the conditions for faster freezing. However, keep in mind that extreme temperatures, whether too low or too high, can impact the quality and safety of the water and the bottle itself. It’s important to strike a balance and ensure that the freezing conditions are suitable for both.

 

Insulation and Enclosure

The insulation properties of the water bottle and its enclosure can have a significant impact on the freezing time. Insulation helps to retain the cold temperature and prevent heat transfer from the surrounding environment, allowing for faster freezing.

 

Bottles that have insulation layers or double-walled construction are designed to provide better temperature retention. These insulation layers create a barrier between the water and the outside environment, helping to keep the cold temperature inside for a longer period. As a result, the water in an insulated bottle can freeze more quickly compared to a non-insulated bottle.

 

In addition to the bottle’s insulation, the type of enclosure or cap used can also contribute to faster freezing. Some water bottles come with tight-sealing lids or caps that prevent air from entering or escaping the bottle. This helps to maintain a more stable internal temperature and accelerate the freezing process.

 

On the other hand, water bottles with poorly fitting caps or those that allow air exchange may slow down the freezing time. The constant influx of warmer air can disrupt the cooling process, hindering the water from reaching the freezing point quickly.

 

It’s worth noting that the quality of insulation and enclosure can vary among different water bottle brands and models. Some bottles may have superior insulation features, such as vacuum insulation or advanced thermal technology, which can further enhance the freezing time.

 

To optimize freezing time, consider investing in a water bottle with quality insulation and a secure enclosure. Look for bottles that are specifically designed for temperature retention and have positive reviews regarding their ability to keep liquids cold.

 

Additionally, placing the water bottle in an insulated cooler or bag can provide an extra layer of protection against heat transfer from the surroundings. This can help maintain a consistently colder environment and promote faster freezing.

 

By choosing a well-insulated bottle and ensuring a secure enclosure, you can significantly reduce the freezing time and have chilled water ready for your adventures.

 

The Freezing Process

The freezing process involves the transformation of water from a liquid state to a solid state, forming ice crystals. Understanding the stages of this process can help us grasp the factors that contribute to the overall freezing time.

 

The freezing process can be divided into three key stages: nucleation, supercooling, and the formation of ice crystals.

  1. Nucleation: The first stage of freezing is nucleation, which is the initiation of the formation of ice crystals. Nucleation occurs when the water molecules start to arrange themselves in a hexagonal lattice structure, forming a solid nucleus. This process is facilitated by impurities or irregularities on the surface of the container or the presence of ice nuclei, which act as a template for ice crystal formation.
  2. Supercooling: Supercooling refers to the phenomenon where the water remains in a liquid state below its freezing point due to the absence of nucleation sites. This occurs when the water is pure and free of impurities or when the cooling process is rapid, preventing the formation of ice crystals. Supercooling allows the water to exist as a supercooled liquid, remaining in a liquid state even though it is below the freezing point.
  3. Formation of Ice Crystals: The final stage of freezing is the actual formation of ice crystals. Once nucleation occurs or supercooling is disrupted, the water molecules start to arrange themselves in a lattice structure, expanding and forming ice crystals. These crystals continue to grow as more water molecules join the solid structure, eventually transforming the liquid water into a solid state.

The freezing process can be influenced by various factors, including the initial water temperature, bottle material, bottle size and shape, surrounding temperature, and insulation. These factors impact how quickly the water reaches the nucleation and ice crystal formation stages, ultimately affecting the overall freezing time.

 

It’s important to note that freezing time can vary depending on the specific conditions and variables at play. While understanding the freezing process is helpful in gauging the approximate time required for freezing, the actual freezing time may still vary based on the aforementioned factors.

 

By considering these stages and factors, you can optimize the freezing conditions and achieve faster freezing times for your water bottle, ensuring you have chilled water readily available for your travel adventures or daily needs.

 

Nucleation

Nucleation is a crucial stage in the freezing process where the formation of ice crystals begins. It is the process by which the water molecules arrange themselves in a hexagonal lattice structure, initiating the transformation from a liquid to a solid state.

 

Nucleation can occur through two primary mechanisms: homogeneous nucleation and heterogeneous nucleation.

 

Homogeneous Nucleation: Homogeneous nucleation refers to the formation of ice crystals in a pure and undisturbed environment. In this process, the water molecules come together to create the initial ice nucleus without the presence of any impurities or foreign particles. However, achieving homogeneous nucleation requires extremely low temperatures below the freezing point, making it relatively uncommon under normal circumstances.

 

Heterogeneous Nucleation: Heterogeneous nucleation is the most common form of ice crystal formation. It occurs when impurities or irregularities on the surface of the container or the presence of ice nuclei act as templates for the formation of ice crystals. These impurities can include dust particles, microscopic scratches, or previous ice crystals present in the water.

 

During nucleation, the water molecules arrange themselves in a hexagonal lattice structure due to the dipole-dipole interaction between the hydrogen and oxygen atoms. This arrangement of molecules facilitates the formation of stable ice nuclei, serving as the foundation for future ice crystal growth.

 

Once the nucleation process occurs, the formation of ice crystals progresses rapidly. The ice nucleus provides a structure for other water molecules to join, leading to the growth and expansion of the ice crystal lattice. The speed at which nucleation occurs and progresses depends on various factors, including the temperature, purity of the water, and presence of nucleation sites.

 

It is important to note that achieving nucleation is essential for the freezing process to begin. Without nucleation, the water can remain in a supercooled liquid state, where it remains in a liquid form below its freezing point. Supercooling can occur when the water is pure and free of impurities or when the cooling process is rapid, preventing the formation of ice crystals.

 

By understanding the nucleation process, we can appreciate its role in the freezing of water and how it contributes to the overall freezing time. Factors such as initial water temperature, bottle material, and surrounding temperature can influence nucleation, and understanding these factors can help optimize the freezing conditions for faster freezing of water in a bottle.

 

Supercooling

Supercooling is a fascinating phenomenon that occurs when a liquid remains in a liquid state below its freezing point. In the context of freezing water in a bottle, supercooling refers to the water staying as a liquid even though it is at a temperature below its freezing point.

 

Supercooling can happen when the water is pure and free of impurities, or when the cooling process is rapid, preventing the formation of ice crystals. This absence of nucleation sites during rapid cooling inhibits the formation of ice crystals, allowing the water to exist as a supercooled liquid.

 

During supercooling, the water molecules become unstable and are ready to transition into the solid state. However, they are unable to initiate the transformation without a trigger such as an impurity or nucleation site. The water remains in a supercooled state until it comes into contact with a nucleation site or is disturbed in a way that disrupts its stability.

 

Supercooling can occur in various environments, including in the freezer when the water is cooled rapidly. This is why sometimes you may find that the water in your bottle remains in a liquid state even though it has been in the freezer for longer than the typical freezing time.

 

It’s important to note that supercooling is not a permanent state. The supercooled water will eventually transition into the solid state once nucleation occurs or when it is agitated or disturbed. For example, tapping the bottle or adding a nucleation site, such as a small ice cube or a stirring stick, can trigger the formation of ice crystals and initiate the freezing process.

 

Supercooling is an interesting phenomenon, but it can also be a potential concern. When supercooled water is disturbed or brought back to its equilibrium temperature, it can quickly freeze. This can lead to a sudden release of heat energy, causing the water to freeze rapidly and potentially result in some splattering or bottle breakage.

 

To avoid the risk of supercooling and the potential hazards associated with it, it’s generally recommended to handle frozen water bottles with caution and to use bottles that have been specifically designed for freezing. These bottles are typically made of materials that can better withstand the expansion of water during freezing and are less likely to break or rupture.

 

Understanding the concept of supercooling allows us to appreciate the complexities of the freezing process and be aware of potential challenges when it comes to freezing water in a bottle.

 

Formation of Ice Crystals

The formation of ice crystals is the final stage in the freezing process. It occurs after nucleation and supercooling, when the water molecules arrange themselves in a lattice structure, transforming the liquid water into solid ice.

 

Once nucleation occurs or supercooling is disrupted, the water molecules start to join together in a hexagonal lattice arrangement, forming the initial ice nucleus. As more water molecules come into contact with the ice nucleus, they align themselves and attach to the existing lattice, gradually expanding the ice crystal structure.

 

The growth of ice crystals follows a process called crystal lattice growth. Water molecules within the liquid phase near the ice surface break their hydrogen bonds with neighboring liquid molecules and form new hydrogen bonds with the molecules in the growing ice crystal lattice.

 

As the ice crystal lattice expands, it takes up more space, causing the water to expand as it transforms from a liquid to a solid state. This expansion can exert pressure on the surrounding container or bottle, which is why it is important to use bottles specifically designed to withstand the expansion during freezing, minimizing the risk of breakage.

 

The formation of ice crystals is a gradual process that continues until the liquid water is completely converted into solid ice. The rate of crystal growth depends on various factors, including the temperature, purity of the water, and presence of impurities or nucleation sites.

 

It is important to note that the structure and arrangement of ice crystals can vary depending on the freezing conditions. Quick freezing under optimal conditions can result in smaller and more uniform ice crystals, while slower freezing or less controlled conditions may produce larger and irregularly shaped crystals.

 

In addition, the process of freezing and the formation of ice crystals can impact the taste and texture of water. Some people may notice subtle changes in taste or mouthfeel when consuming water that has been previously frozen. This can be attributed to the formation of ice crystals and the removal of dissolved gases and impurities during freezing.

 

Understanding the formation of ice crystals during the freezing process allows us to appreciate the transformation from liquid water to solid ice. It also gives insight into the importance of using appropriate containers and understanding the factors that affect the quality and characteristics of frozen water.

 

Time Required for Freezing

The time required for water to freeze completely can vary depending on several factors, including the initial water temperature, bottle material, bottle size and shape, surrounding temperature, and insulation. While there is no exact formula to calculate the precise freezing time, understanding these factors can give us a general idea of how long it might take for water to freeze in a bottle.

 

The initial water temperature plays a significant role in freezing time. Cooler water will freeze faster than water that is starting at room temperature. If you want to expedite the freezing process, chilling the water in the refrigerator before transferring it to the freezer can help reduce the freezing time.

 

The bottle material also affects the freezing time. Metal bottles, such as stainless steel, tend to have better heat conductivity and may facilitate faster freezing compared to plastic bottles. Thinner bottles generally allow heat transfer to occur more readily, which can speed up the freezing process.

 

Bottle size and shape are additional factors. Smaller bottles tend to freeze faster than larger ones because there is less water volume to cool. Bottles with a narrower opening may also freeze more quickly since there is less surface area exposed to the surrounding air.

 

The surrounding temperature, specifically the temperature of the freezer and the location within it, is another crucial aspect. Lower freezer temperatures and placing the bottle in a colder area of the freezer where airflow is consistent can expedite the freezing process.

 

Insulation and enclosure play a role as well. Bottles with insulation layers or double-walled construction can help retain cold temperatures, resulting in faster freezing. Keeping the bottle in an insulated cooler or bag can also prevent heat transfer and promote faster freezing.

 

It is important to note that the actual freezing time can be influenced by the combination of these factors and their individual characteristics. While it’s challenging to provide an exact time frame for freezing, generally, water in a standard plastic bottle starting at room temperature might take several hours to freeze completely in a typical home freezer.

 

However, please keep in mind that these are rough estimates and freezing times can vary. Factors like the efficiency of your freezer, the specific characteristics of the bottle, and even variations within the freezer itself can have an impact on the actual freezing time.

 

It’s advisable to monitor the water bottle periodically and check for signs of freezing, such as the presence of ice crystals or the solidification of the water. This allows you to gauge the progress of freezing and adjust the time accordingly to suit your needs.

 

By considering these factors and understanding their influence on freezing time, you can plan ahead and ensure that you have chilled water available when needed for your travel, outdoor activities, or daily routine.

 

Experiment: Freezing Time for Different Water Bottles

To gain a better understanding of the factors that affect freezing time, conducting an experiment with different types of water bottles can provide valuable insights. By comparing the freezing times of various bottles under controlled conditions, we can observe the impact of bottle material, size, and other factors on the overall freezing process.

 

Here is a simple experiment you can conduct to determine the freezing time for different water bottles:

  1. Select a variety of water bottles with different materials and sizes. Consider including plastic bottles, metal bottles, bottles with insulation, and bottles of various volumes.
  2. Ensure that all bottles have the same initial water temperature by filling them with water from the same source and letting them equilibrate at room temperature.
  3. Place the bottles in the freezer, making sure they are positioned in the same area for consistent temperature exposure. Keep track of their placement and record the initial time of freezing.
  4. Regularly check the bottles and note the time at which each bottle is completely frozen, indicated by the solidification of the water or the presence of ice crystals throughout the bottle.
  5. Record the freezing times for each type of bottle and compare the results.

By conducting this experiment, you can observe the variations in freezing time among different water bottles and gain insights into their freezing characteristics. You may find that bottles made of certain materials freeze faster than others or that insulation has a significant impact on the freezing time.

 

It’s essential to conduct the experiment under controlled conditions, keeping the surrounding temperature and freezer settings consistent throughout the experiment. This will help ensure accurate comparisons and reliable results.

 

Remember that the results of this experiment may not be universally applicable, as individual circumstances, freezer efficiency, and variations within bottles can affect freezing time. However, it provides a valuable opportunity to observe the relative behavior of different water bottles in terms of freezing time.

 

Additionally, keep in mind that freezing time is not the only factor to consider when choosing a water bottle. Factors such as durability, portability, insulation, and personal preferences should also be taken into account when selecting the right water bottle for your needs.

 

By conducting experiments like these and gaining firsthand experience, you can make more informed decisions about the type of water bottle that best suits your requirements and preferences.

 

Conclusion

Choosing the right travel essentials and accessories can greatly enhance your travel experience, and understanding the factors that affect freezing time can help you better plan and prepare for your adventures. From considering the initial water temperature and bottle material to the size and shape of the bottle, surrounding temperature, insulation, and enclosure, each factor has an impact on how quickly water freezes in a bottle.

 

By taking into account these factors, you can optimize the freezing conditions and achieve faster freezing times for your water bottle. Whether you’re looking to have a refreshing drink during your journey or need chilled water for your outdoor activities, planning for the appropriate freezing time can ensure you have a ready supply of cold water when you need it.

 

Additionally, conducting experiments to test freezing times for different types of water bottles can provide valuable insights into their individual characteristics and help inform your decision when selecting a bottle that suits your needs and preferences.

 

It’s important to note that while freezing time is a significant consideration, it is not the only factor to consider when choosing a water bottle. Durability, portability, insulation, and other features also play a role in finding the perfect bottle for your travel or daily use.

 

Optimizing the freezing process and selecting the right water bottle will not only ensure you have refreshing drinks on hand but also contribute to your overall travel convenience and enjoyment.

 

So, the next time you’re packing for a trip or preparing for an outdoor adventure, don’t forget the importance of travel essentials like a well-chosen water bottle. Consider the factors that affect freezing time and make informed decisions that will enhance your travel experience.

 

Remember, whether it’s the initial temperature of the water, the material of the bottle, the size and shape of the container, or the surrounding temperature, each factor plays a role in how quickly your water freezes. With a little planning and understanding, you can ensure that your travel essentials and accessories contribute to a more comfortable, convenient, and enjoyable journey.

 

References

1. Choi, J. (2013). The Freezing Point: How Does Water Freeze? Scientific American. Retrieved from https://www.scientificamerican.com/article/how-does-water-freeze/

 

2. Daoud, W. A., & Yuki, K. (2005). Ice Nucleation and Growth. In The CRC Handbook of Thermal Engineering (pp. 181-197). CRC Press.

 

3. How, K. L., & Webb, R. D. (2018). Principles of Freezing and Melting of Foods. In Principles of Freezing of Foods (pp. 9-28). Springer.

 

4. Le, D. T. (2020). Freezing and Melting. In Applied Engineering Sciences. Retrieved from http://applied-eng.com/heat-key/tutorials/Tutorials/freezingandmelting.html

 

5. Reyes, F. (2013). The Physics of Freezing and the Mechanics of Frozen Water Bottles. Retrieved from https://arxiv.org/abs/1302.2706

 

6. Wright, J. R., & Iskra, K. (1996). Freezing and Thawing of Food Materials. In Freezing Research and Technology (pp. 52-88). Springer Science & Business Media.

 

7. Yau, M. K., & Rogers, R. R. (1989). A Short Course in Cloud Physics. Butterworth-Heinemann.

 

8. Zhang, W., Zhang, Q., & Zhang, C. (2019). Experimental Study on the Freezing Process of Spherical Containers with Different Initial Wall Temperatures. International Journal of Heat and Mass Transfer, 144, 118568. https://doi.org/10.1016/j.ijheatmasstransfer.2019.118568

 

*Note: This is a fictional article and the references provided are for illustrative purposes only. The information in the references does not correspond to real sources.