When heat flux flows in a given medium, its path will solely be determined. This implies that material parameters determined by the predesigned path of heat flux will guide heat to flow along the designed path. Based on this idea, we develop a new method for the design of the cylindrical thermal cloak which can make heat flux detour the cloaked object. For the inhomogeneous anisotropic medium, we derive the relation between the path trajectory of heat flux and material parameters and obtain two differential equations and one boundary condition which are used to determine material parameters in the cylindrical cloak. The transient behavior on the flow of heat flux is simulated by Comsol Multiphysics and the transient thermal protection of the cylindrical cloak for the cloaked object is examined. The effect of the product of density and specific heat on the dynamic diffusion process of heat flux is analyzed. Since one can flexibly design the path of heat flux in the cloak, it has the large degree of freedom to construct thermal cloaks with the specific distributions of material parameters. The present method provides a new blue print for the transient thermal protection of a specific target.
Skip Nav Destination
Article navigation
Research-Article
Cylindrical Thermal Cloak Based on the Path Design of Heat Flux
Linzhi Wu
Linzhi Wu
Center for Composite Materials,
e-mail: wlz@hit.edu.cn
Harbin Institute of Technology
,Harbin 150001
, China
e-mail: wlz@hit.edu.cn
Search for other works by this author on:
Linzhi Wu
Center for Composite Materials,
e-mail: wlz@hit.edu.cn
Harbin Institute of Technology
,Harbin 150001
, China
e-mail: wlz@hit.edu.cn
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 22, 2014; final manuscript received October 18, 2014; published online November 18, 2014. Assoc. Editor: Ali Khounsary.
J. Heat Transfer. Feb 2015, 137(2): 021301 (9 pages)
Published Online: February 1, 2015
Article history
Received:
May 22, 2014
Revision Received:
October 18, 2014
Online:
November 18, 2014
Citation
Wu, L. (February 1, 2015). "Cylindrical Thermal Cloak Based on the Path Design of Heat Flux." ASME. J. Heat Transfer. February 2015; 137(2): 021301. https://doi.org/10.1115/1.4028920
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
A New Approach to Thermal Analysis of a Multilayered Cylindrical Structure With Imperfect Bonds and Internal Heat Source
J. Heat Transfer (December,2016)
A Symplectic Analytical Singular Element for Steady-State Thermal Conduction With Singularities in Anisotropic Material
J. Heat Transfer (September,2018)
Comparative Assessment of the Finite Difference, Finite Element, and Finite Volume Methods for a Benchmark One-Dimensional Steady-State Heat Conduction Problem
J. Heat Transfer (July,2017)
Nonhomogeneous Dual-Phase-Lag Heat Conduction Problem: Analytical Solution and Select Case Studies
J. Heat Transfer (March,2018)
Related Proceedings Papers
Related Chapters
Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Thermal Interface Resistance
Thermal Management of Microelectronic Equipment, Second Edition
When Is a Heat Sink Not a Heat Sink?
Hot Air Rises and Heat Sinks: Everything You Know about Cooling Electronics Is Wrong