This book guides through general and fundamental problems of pressure vessel design. It moreover considers problems which seem to be of lower importance but which turn out to be crucial in the design phase. The basic approach is rigorously scientific with a complete theoretical development of the topics treated, but the analysis is always pushed so far as to offer concrete and precise calculation criteria that can be immediately applied to actual designs. This is accomplished through appropriate algorithms that lead to final equations or to characteristic parameters defined through mathematical equations.

The first chapter describes how to achieve verification criteria, the second analyzes a few general problems, such as stresses of the membrane in revolution solids and edge effects. The third chapter deals with cylinders under pressure from the inside, while the fourth focuses on cylinders under pressure from the outside. The fifth chapter covers spheres, and the sixth is about all types of heads. Chapter seven discusses different components of particular shape as well as pipes, with special attention to flanges. The eighth chapter discusses the influence of holes, while the ninth is devoted to the influence of supports. Finally, chapter ten illustrates the fundamental criteria regarding fatigue analysis.

Besides the unique approach to the entire work, original contributions can be found in most chapters, thanks to the author s numerous publications on the topic and to studies performed ad hoc for this book.

This book is a generalist textbook; it is designed for anybody interested in heat transmission, including scholars, designers and students.

Two criteria constitute the foundation of Annaratone s books, including the present one.

The first one consists of indispensable scientific rigor without theoretical exasperation.

The inclusion in the book of some theoretical studies, even if admirable for their scientific rigor, would have strengthened the scientific foundation of this publication, yet without providing the reader with further applicable know-how.

The second criterion is to deliver practical solution to operational problems.

This criterion is fulfilled through equations based on scientific rigor, as well as a series of approximated equations, leading to convenient and practically acceptable solutions, and through diagrams and tables. When a practical case is close to a well defined theoretical solution, corrective factors are shown to offer simple and correct solutions to the problem.

The contents of this book originates from 35 years of teaching Steam Generators to graduate students at the Politecnico of Milan, Italy and from 45 years of professional activity in this area. This book has been written for practising designers, users, and engineers of steam generators in order to guide them through practical problems and help avoiding technical mistakes. Also the academic scientists and university students who are interested in problems of power generation can find useful information.

The first part of the book presents the different types of generators which are installed either in industrial plants like power plants. In particular boilers for energy of regenerative sources are included. Information about the optimized solutions, the energetic saving, and the mistakes to be avoided is given to the designer. In the second section both, the thermodynamic calculation and the fluid dynamics are developed according to rigorous scientific criteria. In this section, the author presents several of his original studies. Finally, optimizing criteria are illustrated and computer calculations are shown according to the calculation criteria that are indicated in the book.

An appendix includes an in-depth analysis of a few topics discussed in previous chapters and a study about finned tubes.

The recently published book by the author, "Engineering Heat Transfer," already dealt with exact computation of heat exchangers and tube banks. In design c- putationthisisaccomplishedviacorrectivefactors;thelattermakesitpossibleto compute the actual mean temperature difference by starting from the logarithmic onerelativeto?uidsinparallel?oworcounter?ow. As far as veri?cation computation is concerned, corrective factors were int- ducedtocomputeacertaincharacteristicfactorcorrectly, asisfundamentalforthis typeofcomputation. Basedontheabove, theauthordecidedtoinvestigatefurther, re?ne, andwiden thistopic: theoutcomeofthisworkhasresultedinthishandbook. Newtypesofexchangerswereexamined;thecalculationwasre?nedtoproduce practicallyexactvaluesforthefactors. Thescopeoftheinvestigationwasincreased by widening the range of the starting factors. Furthermore, a greater number of valuestobeincludedinthetableswasconsidered. Finally, afewcharacteristicsof certainvaluesofthecorrectivefactorswerehighlighted. The?rstsectionisanintroduction;itsummarizesthefundamentalcriteriaofheat transferandproceedstoillustratethebehaviorof?uidsinbothparallelandcounter ?ow. Italsoshowshowtocomputethemeanisobaricspeci?cheatforsome?uids; itillustratesthesigni?canceofdesigncomputationandveri?cationcomputation. In addition, itillustrateshowtoproceedwithheatexchangersandtubebankstocarry outbothdesignandveri?cationcomputationcorrectly. AppendixAthenincludes36tablesasareferencefordesigncomputation, The tablescontainthecorrectivefactorsrequiredtoobtaintheactualmeantemperature differencebystartingfromthemeanlogarithmictemperaturedifferencerelativeto ?uidsinparallel?oworcounter?ow. Finally, Appendix B includes 35 tables for veri?cation computation. As far as heatexchangers areconcerned, itshowsthevaluesoffactor ? whichisrequired forthistypeofcomputation. Thevaluesofthecorrectivefactorsforcoilsandtube banksarealsopresented. Milano, Italy DonatelloAnnaratone v Notation c=speci?cheat(J/kgK) d=diameter(m) E=ef?ciencyfactor h=enthalpy(kJ/kg) k=thermalconductivity(W/mK) M=mass?owrate(kg/s) m=massmoisturepercentage(%) q=heatpertimeunit(W) 2 S=surface(m ) ? t=temperature( C) 2 U=overallheattransfercoef?cient(W/m K) x=thickness(m) 2 ? =heattransfercoef?cient(W/m K) ? =characteristicfactor ? =characteristicfactor ? =ef?ciency ? =correctivefactor ? =correctivefactor ? =characteristicfactor ? ?t=temperaturedifference( C) vii viii Notation Superscripts =heating?uid =heated?uid Subscripts c=counter?ow e=exchanger i=inside l=logarithmic m=mean o=outside p=constantpressure(isobaric), parallel?ow w=wall 1=inlet(forheatingorheated?uid) 2=outlet(forheatingorheated?uid) Contents 1 Introduction to Computation . . . . . . . . . . . . . . . . . . . . . 1 1. 1 GeneralConsiderations . . . . . . . . . . . . . . . . . . . . . . 1 1. 2 MeanIsobaricSpeci?cHeat . . . . . . . . . . . . . . . . . . . . 3 1. 2. 1 WaterandSuperheatedSteam . . . . . . . . . . . . . . . 4 1. 2. 2 AirandOtherGases. . . . . . . . . . . . . . . . . . . . 4 2 Design Computation. . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. 2 FluidsinParallelFloworinCounterFlow . . . . . . . . . . . . 8 2. 3 TheMeanDifferenceinTemperatureinReality . . . . . . . . . 12 2. 3. 1 FluidsinCrossFlow. . . . . . . . . . . . . . . . . . . . 14 2. 3. 2 HeatExchangers. . . . . . . . . . . . . . . . . . . . . . 15 2. 3. 3 Coils. . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2. 3. 4 TubeBankswithVariousPassagesoftheExternalFluid . 21

This book originates from 35 years of teaching Steam Generators to graduate students at the Politecnico of Milan, and from 45 years of professional activity in this area. This book has been written for practicing designers, users, and engineers of steam generators in order to guide them through practical problems and help avoiding technical mistakes. Technical studies and solutions for various applications are presented, and the author presents some of his original studies.

The recently published book by the author, "Engineering Heat Transfer", already dealt with exact computation of heat exchangers and tube banks. In design c- putationthisisaccomplishedviacorrectivefactors;thelattermakesitpossibleto compute the actual mean temperature difference by starting from the logarithmic onerelativeto?uidsinparallel?oworcounter?ow. As far as veri?cation computation is concerned, corrective factors were int- ducedtocomputeacertaincharacteristicfactorcorrectly,asisfundamentalforthis typeofcomputation. Basedontheabove,theauthordecidedtoinvestigatefurther,re?ne,andwiden thistopic:theoutcomeofthisworkhasresultedinthishandbook. Newtypesofexchangerswereexamined;thecalculationwasre?nedtoproduce practicallyexactvaluesforthefactors. Thescopeoftheinvestigationwasincreased by widening the range of the starting factors. Furthermore, a greater number of valuestobeincludedinthetableswasconsidered. Finally,afewcharacteristicsof certainvaluesofthecorrectivefactorswerehighlighted. The?rstsectionisanintroduction;itsummarizesthefundamentalcriteriaofheat transferandproceedstoillustratethebehaviorof?uidsinbothparallelandcounter ?ow. Italsoshowshowtocomputethemeanisobaricspeci?cheatforsome? uids; itillustratesthesigni?canceofdesigncomputationandveri?cationcomputation. In addition,itillustrateshowtoproceedwithheatexchangersandtubebankstocarry outbothdesignandveri?cationcomputationcorrectly. AppendixAthenincludes36tablesasareferencefordesigncomputation,The tablescontainthecorrectivefactorsrequiredtoobtaintheactualmeantemperature differencebystartingfromthemeanlogarithmictemperaturedifferencerelativeto ?uidsinparallel?oworcounter?ow. Finally, Appendix B includes 35 tables for veri?cation computation. As far as heatexchangers areconcerned, itshowsthevaluesoffactor ? whichisrequired forthistypeofcomputation. Thevaluesofthecorrectivefactorsforcoilsandtube banksarealsopresented. Milano,Italy DonatelloAnnaratone v Notation c=speci?cheat(J/kgK) d=diameter(m) E=ef?ciencyfactor h=enthalpy(kJ/kg) k=thermalconductivity(W/mK) M=mass?owrate(kg/s) m=massmoisturepercentage(%) q=heatpertimeunit(W) 2 S=surface(m ) ? t=temperature( C) 2 U=overallheattransfercoef?cient(W/m K) x=thickness(m) 2 ? =heattransfercoef?cient(W/m K) ? =characteristicfactor ? =characteristicfactor ? =ef?ciency ? =correctivefactor ? =correctivefactor ? =characteristicfactor ? ?t =temperaturedifference( C) vii viii Notation Superscripts =heating?uid =heated?uid Subscripts c=counter?ow e=exchanger i=inside l=logarithmic m=mean o=outside p=constantpressure(isobaric),parallel?ow w=wall 1=inlet(forheatingorheated?uid) 2=outlet(forheatingorheated?uid) Contents 1 Introduction to Computation ...1 1. 1 GeneralConsiderations ...1 1. 2 MeanIsobaricSpeci?cHeat ...3 1. 2. 1 WaterandSuperheatedSteam ...4 1. 2. 2 AirandOtherGases...4 2 Design Computation...7 2. 1 Introduction ...7 2. 2 FluidsinParallelFloworinCounterFlow ...8 2. 3 TheMeanDifferenceinTemperatureinReality ...12 2. 3. 1 FluidsinCrossFlow...14 2. 3. 2 HeatExchangers...15 2. 3. 3 Coils...19 2. 3. 4 TubeBankswithVariousPassagesoftheExternalFluid . 21 3 Veri?cation Computation ...25 3. 1 Introduction ...25 3. 2 FluidsinParallelFloworinCounterFlow ...25 3. 3 Factor?inRealCases...33 3. 3. 1 FluidswithCrossFlow ...

This book is a generalist textbook; it is designed for anybody interested in heat transmission, including scholars, designers and students. Two criteria constitute the foundation of Annaratone's books, including the present one. The first one consists of indispensable scientific rigor without theoretical exasperation. The inclusion in the book of some theoretical studies, even if admirable for their scientific rigor, would have strengthened the scientific foundation of this publication, yet without providing the reader with further applicable know-how. The second criterion is to deliver practical solution to operational problems. This criterion is fulfilled through equations based on scientific rigor, as well as a series of approximated equations, leading to convenient and practically acceptable solutions, and through diagrams and tables. When a practical case is close to a well defined theoretical solution, corrective factors are shown to offer simple and correct solutions to the problem.

This book guides the reader through general and fundamental problems of pressure vessel design. The basic approach is rigorously scientific with a complete theoretical development of the topics treated. The concrete and precise calculation criteria provided can be immediately applied to actual designs. The book also comprises unique contributions on important topics like Deformed Cylinders, Flat Heads, or Flanges.

This book presents a new and direct computational method for transient heat transfer. The approach uses the well-known dimensionless Biot number and a second dimensionless number introduced by the author. The methodology allows for a transient heat transfer calculations without using finite difference programs. The book presents many examples and various tables demonstrating the potential of this new methodology. Many diagrams illustrate the physical phenomena.