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Related Concept Videos

Mechanism of heat transfer01:19

Mechanism of heat transfer

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Understanding heat transfer mechanisms is essential for understanding how our bodies maintain balance in different environmental conditions. When the environment is thermoneutral, the body is in a state of balance, neither using nor releasing energy to maintain its core temperature. However, when the environment is not thermoneutral, the body employs four heat transfer mechanisms to maintain homeostasis: conduction, convection, evaporation, and radiation. These mechanisms facilitate heat...
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Mechanisms of Heat Transfer I01:14

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Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature difference, heat transfer occurs. It may occur rapidly, such as through a cooking pan, or slowly, such as through the walls of a picnic ice box. So many processes involve heat transfer that it is hard to imagine a situation where no heat transfer occurs. Yet, every heat transfer takes place by only three methods: conduction, convection, and radiation.
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Mechanisms of Heat Transfer II01:20

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In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...
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Mechanisms of Heat Transfer01:14

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Heat transfer between the human body and its environment occurs through four main mechanisms: conduction, convection, radiation, and evaporation.
Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant...
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Characterization of Thermal Transport in One-dimensional Solid Materials
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Mathematically inspired structure design in nanoscale thermal transport.

Xin Wu1, Masahiro Nomura1

  • 1Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan. xinwu@iis.u-tokyo.ac.jp.

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|December 17, 2024
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Summary

Mathematical designs enhance nanoscale thermal transport using number theory principles. Exploring diverse sequences unlocks next-generation materials with tailored, multi-functional properties for advanced applications.

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Mathematical Physics

Background:

  • Mathematically inspired structure design is crucial for tailoring material properties.
  • Nanoscale thermal transport is a key area benefiting from these designs.
  • Periodic structures (phononic crystals) are well-studied, but alternative mathematical sequences are emerging.

Purpose of the Study:

  • To provide an in-depth review of mathematical frameworks for nanoscale thermal transport.
  • To examine key mathematical sequences and their foundational principles.
  • To analyze the influence of these designs on thermal behavior and highlight recent advancements.

Main Methods:

  • Review of scientific literature on mathematical sequences in materials design.
  • Analysis of number theory principles (periodicity, quasi-periodicity) applied to structures.
  • Examination of thermal transport properties influenced by these mathematical designs.

Main Results:

  • Mathematical sequences beyond simple periodicity offer unique thermal behaviors.
  • Advanced structures with tailored thermal properties can be achieved through these methods.
  • Recent advancements show significant potential for novel material functionalities.

Conclusions:

  • Further exploration of mathematical sequences is vital for developing next-generation materials.
  • Tailored, multi-functional properties can be achieved for diverse technological applications.
  • This approach holds promise for future innovations in materials science and nanotechnology.