Fixed Tube Sheet Heat Exchanger - Finite Element Analysis of Expansion bellow

Need:

The customer is focused on customized expansion bellow according to functionality requirements. Finite Element Analysis has been adopted for the expansion bellows due to the limitations in traditional design methods. In this work the expansion bellow was analyzed for different loading conditions as per TEMA standards using Finite Element Analysis.

Scope:

The objective of this work is to determine the spring rate, and compute membrane & bending stress along Stress Classification Lines(SCL) using Stress linearization.

Methodology:

·       Load cases are considered as follows;

·       Differential Expansion Only

·       Shell side Pressure Only

·       Tube side Pressure Only

·       Shell side Pressure + Tube side Pressure

·       Shell side Pressure Only + Differential Expansion

·       Tube side Pressure Only + Differential Expansion

·       Shell side Pressure + Tube side Pressure + Differential Expansion

The modeling of the bellow is done as per the guidelines given in RCB-8.42. Mesh is refined at the critical sections to capture stress accurately. At first, the CAD model (2D Axisymmetric geometry of FSE) is meshed considering eight node quadratic axisymmetric elements and the boundary conditions shown in figure RCB-8.42.  The axial translation of the FSE is restrained at the FSE axial plane, pressure of shell side is applied in the inner face of FSE and an axial displacement is applied for stress determination.

In order to evaluate the stress, minimum number of stress classification lines (SCL) are established to compute linearized both membrane and membrane + bending stress intensities at each SCL in order to compare these stress values with the allowable stress limits defined in the design Code.

Main Challenges:

 

As specifications vary from application-to-application, designers have to carefully craft each expansion bellow keeping unique environmental challenges in mind.

Due to the complex shape, there is also a possibility of overestimated stresses at the knuckle to annular plate discontinuity. As a result of such complexities to avoid the risk factor designers tend to use oversize models which in increases the material cost and affect overall performance.

Results Outcome:

FEA results are used to address ASME code rules as per ASME Section VIII Div 2 Part 5. optimum thickness has been decided based on FEA analysis. The induced stresses in the optimized expansion joint have been found to be within the allowable limits. Hence the modeled geometry of the expansion joint is adequate for analyzed conditions. Thus, Stress limits of ASME Sec VIII Div.2 are met

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