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Ph.D.
                                                                                 (Engineering & Technology)
           DESIGN AND OPTIMIZATION OF THICK WALL EXPANSION
          BELLOW FOR FIXED TUBESHEET HEAT EXCHANGER

          Ph.D. Scholar : Chikhaliya Kamlesh M.
          Research Supervisor : Dr. Bhavesh P. Patel



                                                                                Regi. No.: 15146051002
          Abstract :
          Flanged and Fluid type expansion joint (thick wall expansion bellow) used as an integral
          part  of  many  shell  and  tube  heat  exchanger  where  process  conditions  produce
          differential  expansion  between  shell  and  tubes.  It  provides  flexibility  for  thermal
          expansion  and  function  as  a  pressure  retaining  part.  Design  of  expansion  joints  are
          usually based on trial and error method in which initial geometry must be assumed and
          accordingly maximum stresses and spring rate is to be calculated. Inadequate selection
          of geometry leads to have higher tubesheet and bellow thickness which increases cost of
          equipment.

          Classical plate and beam theory used by Kopp and Sayre for design of flexible elements
          does not predict a state of stress at the knuckles or corners of the flexible element and no
          reliable analytical method to evaluate stress at the knuckle and knuckle to annular plate
          junction exists.These limitations not only result in an incomplete analysis, but also result
          in  overestimated  stresses  at  the  knuckle  to  annular  plate  discontinuity.  This  results  in
          increased  thickness,  thus  stiffness  of  the  flexible  element,  which  counteracts  the
          expansion bellow purpose.

          In present research work, design methodology of flangedandflued types (thick wall) and
          thin  wall  expansion  bellow  available  in  various  international  codes  and  standards
          including AD 2000, ASME BPVC, Section VIII-1 and Div-2, EJMA, EN 13445-3, EN 14917,
          TEMA,  GOST  30780,  GB  16749,  IS:19647  and  BS-5500  is  studied  to  understand  latest
          industrial practices. These codes and standards are compared in terms of information
          available for thick wall expansion bellows design with regards to condition of applicability
          of  design  formula,  spring  rate  determination,  parameter  to  define  the  initial  geometry,
          stress  determination  and  fatigue  evaluation.  Inherent  limitations  of  these  codes  with
          respect to expansion bellows design, research gape and recommendations for effective
          design are also presented.

          To  simplify  design  of  tubesheet  and  expansion  bellow,work  flow  is  described  fulfilling
          ASME VIII-1 and TEMA requirement. Accordingly, methodology to decide requirement of
          expansion bellow considering various design parameters is also developed.


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