Abstract
In this chapter, we extend the theory of transformation thermotics for thermal conduction described in Chap. 2 to the case of thermal convection. We adopt a model of creeping flow in porous media where Darcy’s law is valid and heat flux comes from both thermal conduction and convection. Here the transformation theory is established on a set of equations governing the heat and mass transfer in porous media. We investigate both the steady and transient cases and design a cloak, a concentrator and a rotator for model applications.
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Huang, JP. (2020). Transformation Thermotics for Thermal Conduction and Convection. In: Theoretical Thermotics. Springer, Singapore. https://doi.org/10.1007/978-981-15-2301-4_3
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DOI: https://doi.org/10.1007/978-981-15-2301-4_3
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-2300-7
Online ISBN: 978-981-15-2301-4
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