Alexander I. Zhmakin – författare

This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems.

This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems.

This monograph discusses the physical phenomena encountered in the heat transfer in living tissues and mathematical models. It also considers all the relevant information regarding heat transfer in humans, animals and plants in nature and medicine from the whole body down to cellular and sub-cellular models.Effects of the high or low temperature on the biological systems at the different levels - cells, tissues and organisms - as well a role of the blood circulation and the structure of the vascular network on the heat transfer are considered.The classic Pennes bioheat equation, a number of the non-Fourier heat transfer models (including the single-phase-lag and dual-phase-lag models), the porous media models, the models based on the fractional differential equations, the discrete vascular models are analyzed and discussed at length.This book is particularly interesting for graduate students, postdoctoral fellows and researching working on heat transfer in biological systems.

This monograph discusses the physical phenomena encountered in the heat transfer in living tissues and mathematical models. It also considers all the relevant information regarding heat transfer in humans, animals and plants in nature and medicine from the whole body down to cellular and sub-cellular models.Effects of the high or low temperature on the biological systems at the different levels - cells, tissues and organisms - as well a role of the blood circulation and the structure of the vascular network on the heat transfer are considered.The classic Pennes bioheat equation, a number of the non-Fourier heat transfer models (including the single-phase-lag and dual-phase-lag models), the porous media models, the models based on the fractional differential equations, the discrete vascular models are analyzed and discussed at length.This book is particularly interesting for graduate students, postdoctoral fellows and researching working on heat transfer in biological systems.

This monograph discusses the physical phenomena encountered in the heat transfer in living tissues and mathematical models. It also considers all the relevant information regarding heat transfer in humans, animals and plants in nature and medicine from the whole body down to cellular and sub-cellular models.Effects of the high or low temperature on the biological systems at the different levels - cells, tissues and organisms - as well a role of the blood circulation and the structure of the vascular network on the heat transfer are considered.The classic Pennes bioheat equation, a number of the non-Fourier heat transfer models (including the single-phase-lag and dual-phase-lag models), the porous media models, the models based on the fractional differential equations, the discrete vascular models are analyzed and discussed at length.This book is particularly interesting for graduate students, postdoctoral fellows and researching working on heat transfer in biological systems.

The best way to become acquainted with a subject is to write a book about it. BenjaminDisraeli Cryobiologyisatruemultidisciplinaryscienceinvolvingconceptsfrombiology, medicine, and physics. Its ?eld comprises the study of any biologicalobject or system (e. g. , proteins, cells, tissues, organs, or organisms) under the temp- atures below the normal (ranging from hypothermic conditions to cryogenic temperatures): cold-adaptation of organisms; cryoconservation of biological objects; conservation of organs under hypothermic conditions; lyophilization; cryosurgery. Origins of cryobiology could be traced down to ancient Eg- tians; probably the ?rst scienti?c account of this science is the monograph by Sir Robert Boyle "New Experiments and Observations Touching Cold" (London, 1683). Twentieth century witnessed a rapid development of cryo- ologyrelatedtotheprogressofthecryogenicequipment(closedsystemsbased on liquid nitrogen, Joule-Tohomson cooling with mixed gases, etc. ), devel- ments of monitoring techniques, extension of the list of diseases that have been successfully treated by cryomedicine, and consolidation of research by foundation (simultaneously in 1964) of two major scienti?c societies in this ?eld - The Society for Cryobiology and The Society for Low Temperature Biology. There are a lot of good books on cryobiologythat can be divided into two groups: (1) the ones that treat the whole ?eld of cryobiology - these ones are somewhatout-of-dateand(2)thebooksonspeci?capplicationsofcryobiology such as cryosurgery or cryoconservation.