Design method of a two-dimensional thermal invisibility cloak with internal heat source in the concealed area

Abstract

The invention relates to a two-dimensional thermal invisible cloak design method with internal heat sources in a hidden region. The method comprises the steps of establishing a two-dimensional coordinate system x-y and determining the region encircled by the coordinate system as a design region; setting boundary conditions, and respectively solving a background temperature field of the design region when no internal heat source is in a region Z1 and a temperature distribution when the internal heat source is in the region Z1 according to the boundary conditions; respectively solving a direct problem, an adjoint problem of the heat sources in regions Z2 and Z3, a derivative of an objective function, a conjugated coefficient, an iterative direction coefficient, a sensitivity problem, an iterative step length and the objective function, and updating the distribution of the heat sources in the regions Z2 and Z3; and calculating a composite objective function of the regions Z2 and Z3. In the two-dimensional thermal invisible cloak design method with the internal heat sources in the hidden region, the heat sources are applied to the design region according to the internal heat sources and the background temperature field in the hidden region to establish an invisible cloak so as to implement an invisible function.

Description

technical field [0001] The invention belongs to the field of heat transfer, and in particular relates to a design method for a two-dimensional thermal invisibility cloak with an internal heat source in a concealed area. Background technique [0002] The problem of heat flow stealth is another emerging field after the rapid development of electromagnetic wave and sound wave stealth. Since the heat conduction equation and Maxwell's equation also have form invariance, inspired by the electromagnetic cloak (Pendry J B, et al, Science, 2006, 312(5781): 1780-1782), the coordinate transformation method was extended to the field of heat transfer, Through the design of physical parameters, a thermal invisibility cloak based on metamaterials was developed. However, since the metamaterial thermal invisibility cloak adopts a passive control method, if there is an internal heat source in the concealed area, such as the human body, working electronic components, and military facilities t...

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Problems solved by technology

However, since the metamaterial thermal invisibility cloak adopts a passive control method, if there is an internal heat source in the concealed area, such as the human body, working electronic components, and military facilities that generate heat, according to the law of energy conservation, the background temperature field will inevitably be affected. Disturbance, therefore, traditional metamaterial cloaks cannot achieve thermal cloaking when there is an internal heat source in the concealed area

The thermal cloak designed by the coordinate transformation method is insulated at the inner boundary, so that the heat emitted by the inner heat source in the hidden area accumulates on the hidden object, causing its temperature to rise continuously and eventually damage it. Therefore, the coordinate transformation method cannot be used to design the hidden area. Thermal Invisibility Cloak for Inner Heat Source

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