How to calculate the diameter and height of a tank?

How to calculate the diameter and height of a tank?

Calculating the diameter and height of a tank is an important part of planning volume and capacity in the process industry. The dimensions affect how the tank works in practice, for example when storing, handling and in some cases mixing liquids.

Based on the desired volume and the shape of the tank, for example cylindrical construction, the diameter and height can be estimated to suit the current application and available space.

Process Surplus offers tanks in stainless steel 304 and acid-proof 316/316L in various sizes, from about 100 liters up to 250,000 liters. Available information on the dimensions of the tanks can be used as a basis for choosing the right solution.

The choice of size and design is an important part of planning tanks for different types of industrial processes and installations.

Function and structure

Tanks are used for storing, buffering and mixing liquids in the process industry. They can be vertical or horizontal and equipped with technical options such as agitation, level measurement, CIP systems and manholes. The design must provide stability and hygiene and meet pressure and temperature requirements.

Materials and construction

Tanks are often manufactured in stainless steel 304 or acid-proof 316/316L depending on the properties of the liquid and the corrosion resistance requirements. Stainless steel 304 is typically used for standard fluids and less aggressive media, while acid-resistant 316/316L is common for more demanding applications, such as corrosive or hygiene-sensitive fluids.

The construction is normally welded and can have different surface finishes, such as polished or other customization depending on the requirements of the process.

Wall thickness and reinforcements vary depending on the volume, height and diameter of the tank, as well as other operating conditions, and are important factors in selecting the appropriate tank.

Pressurized and atmospheric solutions

Tanks can be divided into atmospheric tanks and pressurized tanks depending on the application. Pressurized tanks are designed to handle overpressure and are covered by the PED Directive, which means that they are usually CE marked and equipped with, for example, safety valves and pressure gauges.

Atmospheric tanks are mainly used for storage without overpressure and are common in, for example, the food and process industries where the focus is on safe and hygienic handling.

Documentation is included where available. For used tanks, some documentation may have been lost over time, which is common for older equipment.

Applications in industry

  • Food production: storage of milk, juice, oils and syrups.
  • Chemical industry: acids, bases and process liquids.
  • Pharmaceutical production: hygienic intermediate storage for sterile liquids.
  • Water treatment: storage of treatment water or chemicals.
  • Industrial processes: buffer capacity and continuous production.

Technical options and equipment

  • Stirring for homogenization of liquids.
  • Level gauge and level alarm for safe operation.
  • CIP system for hygienic cleaning.
  • Insulation and temperature control with double jacket.
  • Manholes and inspection ports for maintenance.

Calculation of diameter and height

For cylindrical tanks of volume V the formula is used:
V = π × r² × h, where r is the radius and h is the height.
If the volume and height are known, the radius is calculated: r = √(V / (π × h)). If the volume and diameter are known, the height is calculated: h = V / (π × r²). The result is converted to liters by multiplying by 1 000. Example: Desired volume 20 000 liters and height 4 m gives r = √(20 m³ / (π × 4 m)) ≈ 1.26 m and diameter ≈ 2.52 m.

Volumes and capacity

By calculating the diameter and height, you can ensure that the tank can accommodate the desired volume and fit into the production space. Correct sizing affects pumping capacity, agitation, filling and emptying.

The benefits of correct sizing

  • Optimal use of production space.
  • Correct volume for process requirements.
  • Efficient stirring and pumping.
  • Hygienic and safe operation.
  • Flexibility for technological options and integration.

New and used cylindrical tanks in stock

Processöverskott has a stock of both new and used cylindrical tanks in stainless steel 304 and acid-proof 316/316L. The tanks are available in different designs and can in some cases be equipped with technical options such as stirring, CIP, level sensor and temperature control depending on the design and previous use.

Many tanks are available for quick delivery depending on stock status.

Choosing the right tank

When choosing a tank, it is important to consider several factors, such as the properties of the liquid, hygiene requirements, volume, pressure and temperature. These parameters influence the type of tank and design that is suitable for the application in question.

The dimensions of the tank, such as diameter and height, as well as any technical options may vary depending on the application and process requirements.

Processöverskott offers new and used tanks in different sizes and designs. Available information on the specifications of the tanks can be used as a basis for choosing a solution that suits the current process.

Executive summary

Calculation of diameter and height is an important part of planning cylindrical tanks in the process industry. The dimensions affect, among other things, volume, positioning and how the tank works in the process in question.

Process surplus offers cylindrical tanks in stainless steel 304 and acid-proof 316/316L in various designs and sizes. Some tanks can be equipped with technical options such as stirring, level sensors and CIP depending on the design and previous use.

These characteristics are important to consider when choosing a tank for different types of industrial applications.

Frequently asked questions on how to calculate the diameter and height of a tank

How to calculate the diameter and height of a tank?

The diameter and height are calculated from the required volume and the shape of the tank. For cylindrical tanks, V = π × r² × h. If the volume and height are known, the radius is calculated: r = √(V / (π × h)). If the volume and diameter are known, the height is calculated: h = V / (π × r²). The result is converted to liters by × 1 000.

What materials are used for cylindrical tanks?

Cylindrical tanks are often manufactured in stainless steel 304 or acid-proof 316/316L depending on the properties of the liquid and the corrosion resistance requirements. Stainless steel 304 is typically used for standard fluids and less aggressive media, while acid-resistant 316/316L is common for more demanding applications, such as corrosive or hygiene-sensitive products.

The construction is normally welded and can have different surface finishes, such as polished or other customization depending on the requirements of the process.

Can cylindrical tanks be pressurized?

Yes, cylindrical tanks can be pressurized depending on their design and use. Pressurized tanks are designed to handle overpressure and are subject to applicable regulations, such as the PED Directive.

Depending on the design, they may be equipped with safety valves and pressure gauges, for example. However, equipment and specifications vary between tanks.

For pressurized tanks, inspection by an accredited inspection body is required, and documentation and CE marking may be provided where available.

What technical options are available for cylindrical tanks?

Common options include agitation, level measurement, CIP systems, insulation and temperature control, ensuring hygienic and efficient operation.

Why is the correct calculation of diameter and height important?

Proper sizing ensures that the tank holds the required volume, works efficiently with pumps and agitators, and maintains hygiene and safety in industrial processes.