A Study of the Heat Conduction Phenomena with a Phase Lag of Heat Flux

Jin, Chang-Fu; Kim, Kyung-Kun; Chung, Han-Shik; Jeong, Hyomin; Choi, Du-Yeol; Choi, Soon-Ho

doi:10.5916/jkosme.2008.32.5.684

Journal of the Korean Society of Marine Engineering

2008

DOI: 10.5916/jkosme.2008.32.5.684

|View full text |Cite

A Study of the Heat Conduction Phenomena with a Phase Lag of Heat Flux

Chang-Fu Jin¹,

Kyung-Kun Kim²,

Han-Shik Chung³

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2016

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The The characteristics of Equation(15) and Equation(16) included in the general solution of Equation(12). The term multiplied by •in the square root was ignored because it is constant.If Equation(12)is accepted as the general solution without any manipulation, the temperature of the surface that is in contact with a heating or a cooling source is equal to two times the temperature of any transient source, an outcome which results from the fact that the values of Equation(15)and Equation(16)are the unit values at t=0, as seen in Figure Inspection of the behaviors of Equation (15) and Equation (16) in…”

mentioning

confidence: 99%

Analytical solution of the Cattaneo - Vernotte equation (non-Fourier heat conduction)

Choi¹,

Yoon²,

Park³

et al. 2016

Journal of the Korean Society of Marine Engineering

Self Cite

View full text Add to dashboard Cite

The theory of Fourier heat conduction predicts accurately the temperature profiles of a system in a non-equilibrium steady state. However, in the case of transient states at the nanoscale, its applicability is significantly limited. The limitation of the classical Fourier's theory was overcome by C. Cattaneo and P. Vernotte who developed the theory of non-Fourier heat conduction in 1958. Although this new theory has been used in various thermal science areas, it requires considerable mathematical skills for calculating analytical solutions. The aim of this study was the identification of a newer and a simpler type of solution for the hyperbolic partial differential equations of the non-Fourier heat conduction. This constitutes the first trial in a series of planned studies. By inspecting each term included in the proposed solution, the theoretical feasibility of the solution was achieved. The new analytical solution for the non-Fourier heat conduction is a simple exponential function that is compared to the existing data for justification. Although the proposed solution partially satisfies the Cattaneo-Vernotte equation, it cannot simulate a thermal wave behavior. However, the results of this study indicate that it is possible to obtain the theoretical solution of the Cattaneo-Vernotte equation by improving the form of the proposed solution.

show abstract

mentioning

confidence: 99%

Analytical solution of the Cattaneo - Vernotte equation (non-Fourier heat conduction)

Choi¹,

Yoon²,

Park³

et al. 2016

Journal of the Korean Society of Marine Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

A Study of the Heat Conduction Phenomena with a Phase Lag of Heat Flux

Cited by 1 publication

References 5 publications

Analytical solution of the Cattaneo - Vernotte equation (non-Fourier heat conduction)

Analytical solution of the Cattaneo - Vernotte equation (non-Fourier heat conduction)

Contact Info

Product

Resources

About