Unified scaling and asymptotic methods for thermal-fluid transport analysis

Estimating transport behavior through scaling analysis and first-principles modelling remains critical for early-stage design and validation of computational results. Heat Transfer and Fluid Flow: Scaling, Asymptotes, and Modelling provides an integrated treatment that systematically applies scaling and asymptotic methods across conduction, convection, and viscous transport problems, combining exact and approximate analytical techniques within a single coherent framework.

Coverage spans internal and external flow, unsteady viscous flow, two-phase modelling, and rarefied slip flows in microchannels, alongside one-dimensional and multidimensional heat conduction, forced and natural convection in channels, ducts, and enclosures. Each topic develops compact modelling tools from both historical and modern solution methods, equipping readers with practical approaches for predicting transport across laminar and turbulent regimes.

The book also contains:

• End of chapter problems applying crude scaling methods, approximate analytical techniques, and exact solutions to representative thermal-fluid problems
• Compact models built from asymptotic solutions that enable rapid prediction across transition regions, such as, between laminar and turbulent flow, short and long time, and developing to fully developed flow.
• Treatment of rarefied gas dynamics and slip flow regimes relevant to microchannel heat transfer and microfluidic device design
• Problems and examples that reinforce physical understanding of transport phenomena through progressively refined analytical approaches
• Coverage linking first-principles derivations to computational validation workflows used in modern thermal-fluid engineering practice

Written for engineers and researchers addressing thermal-fluid problems in the mechanical, aerospace, and chemical industries, this book also serves graduate students and instructors in advanced courses. Thermal engineers seeking analytical solutions and compact modelling tools will find it directly applicable to their work. The book is also a valuable resource for engineers and scientists availing of Artificial Intelligence (AI Engines) in their work.

Yuri S. Muzychka, PhD, is a Professor of Mechanical Engineering at Memorial University of Newfoundland (Canada) and a Fellow of ASME, CSME, and the Engineering Institute of Canada, and Associate Fellow of AIAA. He has published over 250 peer reviewed journal and conference papers, 3 handbook chapters, and 2 books including Thermal Spreading and Contact Resistance.

M. Michael Yovanovich, ScD, is a Distinguished Professor Emeritus at the University of Waterloo (Canada) and a Fellow of ASME, AIAA, and AAAS. He has delivered over 150 keynote lectures and published over 350 peer reviewed journal and conference papers, 4 handbook chapters, and 2 books including Thermal Spreading and Contact Resistance.