Calculation Methods for Pressure Vessel Design (2024)

Calculation Methods for Pressure Vessel Design (1)

To learn how pressure vessel design is calculated, it’s important to understand what pressure is and what its effects on pressure vessels are. Pressure is defined as force per unit area, i.e.: (Pressure = Force/Area). So, for any given pressure, the larger the area, the larger the force will be.

It’s impossible to imagine the oil and gas industries without pressure vessels such as steam drums, columns, knock out drums, separators, etc. The thermodynamic energy contained in a pressure vessel can be huge. This is why pressure vessel design calculations should be done with extremely high accuracy and precision.

Effects of Pressure

You have probably participated in a tug of war game where two teams pull on the opposite ends of a rope. It’s the same when we apply stress or tension to a metallic vessel by pulling it to different levels, the vessel under stress begins to elongate and deform. Pressure inside also subjects a vessel to stress. If a vessel is designed for a particular pressure and is exposed to higher pressures, it may result in catastrophic failure.

Designing for High Pressure

Ideally, all pressure vessels should be designed to withstand the maximum pressure that can be reached during normal operating conditions. However, in some cases, it may not be economically viable to do this. Vessels are typically designed for a particular pressure, which is calculated by adding a margin to the maximum operating pressure. A relief valve can be used to ensure that maximum operating pressure is not reached.

However, not all pressure vessels have relief valves. Centrifugal pumps, for instance, do not feature relief valves because they are designed to operate at the highest possible pressures whereas the associated vessels and piping are protected by a relief valve.

Pressure Terminology

1). Operating Pressure (OP)

The OP is the gauge pressure that exists inside a vessel during normal operation.

2). Design Pressure (DP)

Design pressure is the pressure at the top of the vessel in its operating position. Design pressure is used to determine the minimum thickness of the vessel at Design Temperature. Design pressure is usually determined by the process engineer in close consultation with the pressure vessel mechanical engineer.

Designing for Low Pressure

Low pressure design takes into account the atmospheric pressure or external pressure that a vessel is subjected to in its operating position. Low pressure design is used to determine the minimum thickness of stiffening rings at the design temperature.

In low pressure vessels, the pressure is normally directed inward and comes from the atmosphere. Some processes that make use of low pressure vessels include:

  • Pumping out without using vapour
  • Steam side of heat vessels or exchangers with steam
  • Components with a boiling point below 0 °C
  • Processes where cool-down is expected

After pressure, it is important to understand the different terminologies related to temperature.

Temperature Terminology

1). Operating Temperature (OT)

This is the temperature that exists inside a vessel during normal operation.

2). Maximum Operating Temperature (MOT)

The MOT is the maximum equilibrium temperature of the contents of a vessel at the maximum operating pressure. If operational flexibility is required, the MOT is set higher than the OT, otherwise, they are equal.

3). Upper Design Temperature (UDT) or Maximum Design Temperature (MDT)

The Upper Design Temperature (UDT) is often referred to as the Maximum Design Temperature (MDT). The UDT is the highest temperature a vessel can handle at the lower and/or upper design pressure.

The design pressure and temperature are used as the foundation for pressure vessel design and are used together to calculate minimum wall thickness for pipes and vessels.

AtSherwood Design & Engineering Pty Ltd, we have been providing engineering design and support services to industries such as steelmaking, minerals processing, water treatment, food/pharmaceuticals, materials handling, and many others for more than 40 years.

We specialise inpressure vessel designand pressure vessel design verification, as well as plant engineering where design, plant layout and preparation of arrangement, fabrication and manufacturing drawings are required.

If you are looking for trustworthy and reliable pressure vesselengineering design and support services, please call us today on (02) 9437 3566orleave an enquiry.

Calculation Methods for Pressure Vessel Design (2024)

FAQs

How to design a pressure vessel calculation? ›

Pressure Vessel Thickness Calculations in Practice
  1. Plug Values into Barlow's Formula: Using the Barlow's Formula mentioned earlier: t = (P * D) / (2 * S * E – 0.6 * P)
  2. P: 150 psi.
  3. D: 24 inches.
  4. S: 36,000 psi.
  5. E: 0.85.
  6. Calculate Thickness: Plug these values into the formula: t = (150 * 24) / (2 * 36,000 * 0.85 – 0.6 * 150)

How to calculate vessel pressure? ›

To learn how pressure vessel design is calculated, it's important to understand what pressure is and what its effects on pressure vessels are. Pressure is defined as force per unit area, i.e.: (Pressure = Force/Area).

How is design pressure calculated? ›

To calculate the design pressure, first one need to know operating pressure of the system, which is determine by process engineer. Then one need to established maximum operating pressure. Which is as per the rule is MOP = 105% of OP ( P>20 bar) or OP+1 bar (P<20 bar). This margin is kept for control purpose.

What is the formula for design of pressure pipes? ›

P = (2 St/D) × F × E × T P = Design pressure in pounds per square inch (kPa) gauge. S = Yield strength in pounds per square inch (kPa) determined in accordance with § 192.107. D = Nominal outside diameter of the pipe in inches (millimeters). t = Nominal wall thickness of the pipe in inches (millimeters).

What is the basic requirement to design the pressure vessel? ›

Design and Manufacture of Pressure Vessels:

The design must also consider factors such as the temperature, material properties, and the type of fluid or gas being stored. Once the design is complete, the vessel is manufactured using high-quality materials such as carbon steel, stainless steel, or exotic alloys.

What is the Barlow's formula? ›

Barlow's Formula relates the internal pressure that a pipe can withstand to its dimensions and the strength of its materials. The formula is P= (2*T*S/D), where: P = pressure. S = allowable stress.

What is the formula for calculating pressure? ›

Since pressure is defined as the force per unit area, its formula is expressed as P = F/A, where P is pressure, F is force, and A is the area by which the force is applied perpendicularly. In fluid pressure, force is equivalent to fluid weight, making the pressure equation P = (rho)gh.

What is an example of a pressure vessel design? ›

A pressure vessel is a closed container designed to hold gases or liquids at a pressure substantially higher or lower than the ambient pressure. Examples include glassware, autoclaves, compressed gas cylinders, compressors (including refrigeration), vacuum chambers and custom designed laboratory vessels.

How do you size a pressure vessel? ›

The 'rule of thumb' calculation is that the pressure vessel size is equal to 6 seconds of maximum flow. For example: if the design maximum flow rate of a booster set is 3 l/s – the required vessel size would be 18 litres.

What is design pressure in ASME? ›

ASME VIII Pressure Design

Design pressure is a nominal value of pressure provided by (for example) a process engineer or contractor to a vessel designer.

What is the design factor for pressure vessel? ›

The typical safety factor for pressure vessels, often referred to as the Design Factor, usually ranges from 1.5 to 4. This factor is applied to account for uncertainties in material strengths, operating conditions, and potential flaws in the vessel.

What pressure should a pressure vessel be? ›

It is set by default on 1.9 bar, which is the correct pressure for almost every situation. If your pressure-boosting system stops functioning properly, and you feel the pressure valve may be the problem, you can test whether it is defective.

What is the Barlow's law? ›

It says that the strength of the effect of electricity passing through a wire varies inversely with the square root of its length and directly with the square root of its cross-sectional area, or, in modern terminology: for cylindrical wires.

What is the Weymouth equation? ›

Weymouth Equation - A model for natural gas pipelines under fully turbulent flow, using pipe diameter to characterize pressure loss. The full form of the Weymouth equation relates flow to pressure drop, specific gravity, pipe length, and temperature.

What is the Barrows formula? ›

It is helpful in determining the maximum pressure capacity a pipe can safely withstand. The formula is expressed as P=2St/D, where: P. pressure, psig.

How do you calculate vessel size? ›

To calculate the vessel volume, square the radius, multiply by the length, then finally multiply by pi.

What are the parameters for the design of a pressure vessel? ›

Factors To Consider While Designing A Pressure Vessel
  • Design Code.
  • Design/Operating Pressure & Temperature.
  • Maximum Allowable Working Pressure (MAWP)
  • Minimum Design Metal Temperature (MDMT)
  • Hydrotest Pressure.
  • Process condition.
  • Corrosion Allowance.
  • Nominal thickness.
Sep 15, 2022

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