Non-equilibrium heating situations

Bekir Sami Yilbas; Ahmet Z. Sahin

doi:10.1007/978-3-642-54607-5_3

Non-equilibrium heating situations

Bekir Sami Yilbas^*
, Ahmet Z. Sahin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The heat conduction depth, in some cases, can be limited with short distances. This results in non-equilibrium heating situation. In this case, the lattice sub-system thermally separates from the electron sub-system in the heated region. The energy transfer can be formulated through the hyperbolic heating model incorporating the thermal separation of the sub-systems. In this chapter, the electron kinetic theory approach is adopted to model the non-equilibrium heat transfer in the heated region during the friction welding process. The mathematical arrangements for the solution of the heat equation is presented.

Original language	English
Pages (from-to)	47-67
Number of pages	21
Journal	SpringerBriefs in Applied Sciences and Technology
Issue number	9783642546068
DOIs	https://doi.org/10.1007/978-3-642-54607-5_3
State	Published - 2014

Bibliographical note

Publisher Copyright:
© 2014, The Author(s).

Keywords

Analytic solution
Hyperbolic heat conduction
Thermal analysis

ASJC Scopus subject areas

Biotechnology
General Chemical Engineering
General Mathematics
General Materials Science
Energy Engineering and Power Technology
General Engineering

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10.1007/978-3-642-54607-5_3

Cite this

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title = "Non-equilibrium heating situations",

abstract = "The heat conduction depth, in some cases, can be limited with short distances. This results in non-equilibrium heating situation. In this case, the lattice sub-system thermally separates from the electron sub-system in the heated region. The energy transfer can be formulated through the hyperbolic heating model incorporating the thermal separation of the sub-systems. In this chapter, the electron kinetic theory approach is adopted to model the non-equilibrium heat transfer in the heated region during the friction welding process. The mathematical arrangements for the solution of the heat equation is presented.",

keywords = "Analytic solution, Hyperbolic heat conduction, Thermal analysis",

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AU - Yilbas, Bekir Sami

AU - Sahin, Ahmet Z.

PY - 2014

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N2 - The heat conduction depth, in some cases, can be limited with short distances. This results in non-equilibrium heating situation. In this case, the lattice sub-system thermally separates from the electron sub-system in the heated region. The energy transfer can be formulated through the hyperbolic heating model incorporating the thermal separation of the sub-systems. In this chapter, the electron kinetic theory approach is adopted to model the non-equilibrium heat transfer in the heated region during the friction welding process. The mathematical arrangements for the solution of the heat equation is presented.

AB - The heat conduction depth, in some cases, can be limited with short distances. This results in non-equilibrium heating situation. In this case, the lattice sub-system thermally separates from the electron sub-system in the heated region. The energy transfer can be formulated through the hyperbolic heating model incorporating the thermal separation of the sub-systems. In this chapter, the electron kinetic theory approach is adopted to model the non-equilibrium heat transfer in the heated region during the friction welding process. The mathematical arrangements for the solution of the heat equation is presented.

KW - Analytic solution

KW - Hyperbolic heat conduction

KW - Thermal analysis

UR - https://www.scopus.com/pages/publications/85028886580

U2 - 10.1007/978-3-642-54607-5_3

DO - 10.1007/978-3-642-54607-5_3

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JO - SpringerBriefs in Applied Sciences and Technology

JF - SpringerBriefs in Applied Sciences and Technology

IS - 9783642546068

ER -

Non-equilibrium heating situations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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