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Technical Brief

A Thermal Resistance Model for Problems Involving Chemical Reactions and Phase Transition

[+] Author and Article Information
Yoash Mor

Faculty of Aerospace Engineering,
Technion—Israel Institute of Technology,
Haifa 32000, Israel
e-mail: yoashmor@gmail.com

Alon Gany

Professor Emeritus
Mem. ASME
Faculty of Aerospace Engineering,
Technion—Israel Institute of Technology,
Haifa 32000, Israel
e-mail: gany@tx.technion.ac.il

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 29, 2016; final manuscript received February 5, 2017; published online April 11, 2017. Assoc. Editor: Gennady Ziskind.

J. Heat Transfer 139(8), 084503 (Apr 11, 2017) (2 pages) Paper No: HT-16-1541; doi: 10.1115/1.4036087 History: Received August 29, 2016; Revised February 05, 2017

This paper formulates a modified thermal resistance model (MTRM) for dealing with heat transfer situations involving heat sources from chemical reactions or phase transition. The modified thermal resistance model describes the various heat transfer mechanisms by three common thermal resistors, radiation, convection, and conduction (in media with no internal mass diffusion), adding a new coupled thermal resistor that stands for conduction and enthalpy flow in the gas phase. Similarly to the classical thermal resistance approach, the present model is valid for one-dimensional, quasi-steady heat transfer problems, but it can also handle problems with an internal chemical heat generation source. The new thermal resistance approach can be a useful modular tool for solving relatively easily and quickly complex problems involving chemical reactions and phase transition, such as combustion problems.

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References

Incropera, F. P. , Dewitt, D. P. , Bergman, T. L. , and Lavine, A. S. , 2007, Introduction to Heat Transfer, 6th ed., Wiley, Hoboken, NJ, pp. 98–101.

Figures

Grahic Jump Location
Fig. 1

Schematic illustration of the various energy flow and heat transfer mechanisms around a phase transition interface and a chemical reaction zone. The subscripts R and L represent right and left, respectively.

Grahic Jump Location
Fig. 2

Schematic illustration of the various possible thermal resistors around a phase transition interface and a chemical reaction zone

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