A general expression has been obtained to estimate thermal conductivities of both stochastic and periodic structures with high-solid thermal conductivity. An air layer partially occupied by slanted circular rods of high-thermal conductivity was considered to derive the general expression. The thermal conductivity based on this general expression was compared against that obtained from detailed three-dimensional numerical calculations. A good agreement between two sets of results substantiates the validity of the general expression for evaluating the stagnant thermal conductivity of the periodic structures. Subsequently, this expression was averaged over a hemispherical solid angle to estimate the stagnant thermal conductivity for stochastic structures such as a metal foam. The resulting expression was found identical to the one obtained by Hsu et al., Krishnan et al., and Yang and Nakayama. Thus, the general expression can be used for both stochastic and periodic structures.
Skip Nav Destination
Article navigation
Research-Article
A General Expression for the Stagnant Thermal Conductivity of Stochastic and Periodic Structures
X. Bai,
X. Bai
Graduate School of Science and Technology,
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan
Search for other works by this author on:
C. Hasan,
C. Hasan
Department of Mechanical Engineering,
Izmir Institute of Technology,
Urla 35430, Turkey
Izmir Institute of Technology,
Urla 35430, Turkey
Search for other works by this author on:
M. Mobedi,
M. Mobedi
Faculty of Engineering,
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan
Search for other works by this author on:
A. Nakayama
A. Nakayama
Faculty of Engineering,
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan;
School of Civil Engineering and Architecture,
Wuhan Polytechnic University,
Wuhan 430023, Hubei, China
e-mail: nakayama.akira@shizuoka.ac.jp
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan;
School of Civil Engineering and Architecture,
Wuhan Polytechnic University,
Wuhan 430023, Hubei, China
e-mail: nakayama.akira@shizuoka.ac.jp
Search for other works by this author on:
X. Bai
Graduate School of Science and Technology,
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan
C. Hasan
Department of Mechanical Engineering,
Izmir Institute of Technology,
Urla 35430, Turkey
Izmir Institute of Technology,
Urla 35430, Turkey
M. Mobedi
Faculty of Engineering,
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan
A. Nakayama
Faculty of Engineering,
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan;
School of Civil Engineering and Architecture,
Wuhan Polytechnic University,
Wuhan 430023, Hubei, China
e-mail: nakayama.akira@shizuoka.ac.jp
Shizuoka University,
3-5-1 Johoku,
Naka-ku 432-8561, Hamamatsu, Japan;
School of Civil Engineering and Architecture,
Wuhan Polytechnic University,
Wuhan 430023, Hubei, China
e-mail: nakayama.akira@shizuoka.ac.jp
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 17, 2017; final manuscript received September 9, 2017; published online January 17, 2018. Editor: Portonovo S. Ayyaswamy.
J. Heat Transfer. May 2018, 140(5): 052001 (4 pages)
Published Online: January 17, 2018
Article history
Received:
April 17, 2017
Revised:
September 9, 2017
Citation
Bai, X., Hasan, C., Mobedi, M., and Nakayama, A. (January 17, 2018). "A General Expression for the Stagnant Thermal Conductivity of Stochastic and Periodic Structures." ASME. J. Heat Transfer. May 2018; 140(5): 052001. https://doi.org/10.1115/1.4038449
Download citation file:
Get Email Alerts
Cited By
Surrogate Modeling-Based Analysis of Concentration Decay in Diffusion-Reaction Mass Transfer Problems
J. Heat Mass Transfer (June 2025)
External Conjugate Boiling On Channels. A Graetz Problem With Multiple Solutions
J. Heat Mass Transfer
Related Articles
Porosity and Effective Thermal Conductivity of Wire Screens
J. Heat Transfer (February,1990)
Nonequilibrium Thermal Response of Porous Media in Unsteady Heat Conduction With Sinusoidally Changing Boundary Temperature
J. Heat Transfer (November,2015)
Iterative Multiscale Approach for Heat Conduction With Radiation Problem in Porous Materials
J. Heat Transfer (August,2018)
Effective Thermal Conductivity Within Packed Beds of Spherical Particles
J. Heat Transfer (November,1989)
Related Proceedings Papers
Related Chapters
Orthotropic Media
Thermal Spreading and Contact Resistance: Fundamentals and Applications
Steady Heat Conduction with Variable Heat Conductivity
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Experimental Investigation of an Improved Thermal Response Test Equipment for Ground Source Heat Pump Systems
Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)