Mathematical methods for cryocoolers /

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"Version: 20251201"--Title page verso.Includes bibliographical references.1. Cryocooler fundamentals -- 1.1. Background -- 1.2. Types of cryocoolers -- 1.3. Book layout2. Mathematical fundamentals -- 2.1. Complex numbers -- 2.2. Phasors -- 2.3. Expansion series -- 2.4. Differential equations3. Thermodynamics -- 3.1. First and second laws -- 3.2. Enthalpy flows and energy accounting -- 3.3. Entropy generation and irreversibility -- 3.4. Thermodynamic cycles -- 3.5. Pressure-volume behaviour4. Harmonic approximations -- 4.1. Harmonic oscillators -- 4.2. Normal modes -- 4.3. Phasor analysis for Stirling and pulse tube cryocoolers -- 4.4. Summary5. Numerical modelling -- 5.1. Approaches to cryocooler numerical modelling -- 5.2. 1D modelling and Sage software -- 5.3. Time-domain finite volume modelling -- 5.4. Other approaches6. Thermoacoustic modelling -- 6.1. Introduction and scope -- 6.2. Linearised acoustic field equations -- 6.3. Rott's thermoacoustic functions -- 6.4. Thermoacoustic power transport -- 6.5. Gas springs and phase control in pulse tubes -- 6.6. Worked example : acoustic field calculation -- 6.7. Comparison with lumped models -- 6.8. Summary7. Hydrodynamic modelling -- 7.1. Introduction and scope -- 7.2. Governing equations of fluid motion -- 7.3. CFD modelling approaches -- 7.4. Practical applications and case studies -- 7.5. Coupling with heat transfer and thermodynamics -- 7.6. Software and solver considerations -- 7.7. Summary8. Data analysis and optimisation methods -- 8.1. Signal processing in the lab -- 8.2. Regression and curve fitting -- 8.3. Parametric optimisation -- 8.4. Bayesian optimisation -- 8.5. Multi-objective trade-offs -- 8.6. Summary -- 9. Conclusions.Full-text restricted to subscribers or individual document purchasers.Mathematical Methods for Cryocoolers provides the first comprehensive treatment of the mathematical frameworks that underpin modern cryogenic refrigeration systems. Cryocoolers are critical technologies enabling astronomy, quantum science, particle physics, and advanced aerospace applications. This book bridges theory and practice by combining thermodynamic principles, applied mathematics, and computational tools into a unified approach for understanding, modelling, and optimising cryocoolers. This book is intended for researchers, physicists, astronomers, engineers, and advanced students in cryogenics, applied physics, astronomy, engineering, and instrumentation. By blending physical insight with modern modelling strategies, it provides a definitive reference for both academic study and applied cryocooler development.The cryogenics research community, including graduate students up to senior researchers.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Hannah Rana is a Clay Fellow at the Center for Astrophysics/Harvard & Smithsonian and the Black Hole Initiative at Harvard University. She works on the Black Hole Explorer (BHEX) space mission concept and is the Cryogenics Co-Lead for the BHEX instrument. Prior to this, Hannah was a Schmidt Science Fellow, also at Harvard, and has held previous appointments at the NASA Jet Propulsion Laboratory, the California Institute of Technology, the European Space Agency, and CERN. She completed her DPhil. at the University of Oxford. Over the years, her research has focused on astrophysics instrumentation, black hole science, thermodynamics, and mathematical modelling.Title from PDF title page (viewed on January 8, 2026).

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Series Title

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Call Number

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750348263

Classification

621.59

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Edition

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Subject(s)

SCIENCE / Physics / Mathematical & Computational.
Cryogenics.
Low temperature engineering
Refrigeration and refrigerating machinery.

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Statement of Responsibility

Hannah Rana.

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