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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
A Detailed Approach for the Classical Integral Transform Technique in Ablation Phenomenon with Moving Boundaries
Submission Author:
Gilvan Do Nascimento Filho , SP , Brazil
Co-Authors:
Gilvan Do Nascimento Filho, Jakler Nichele, Leonardo Santos de Brito Alves
Presenter: Gilvan Do Nascimento Filho
doi://10.26678/ABCM.ENCIT2020.CIT20-0350
Abstract
The ablation phenomenon is present in several applications, such as hypersonic rockets and ballistic missiles, atmospheric reentry vehicles, and rocket nozzles. Ablation is also considered as a Thermal Protection System (TPS), along with heat sinks, cooling, and surface insulation, however, the difference is that in ablation the material is expended to absorb thermal energy and therefore prevents damage to the vehicle and its components. The objective of the present study is to simulate this physical phenomenon computationally, evaluating the thermal profile of the ablative material when submitted to hypersonic flow. For this simulation, the Classical Integral Transform Technique (CITT) is used to obtain the analytical solution of the governing equation that rules the ablative phenomenon, considering a constant heat flux throughout the process. Herein, the non-homogeneity of the boundary conditions, present in the set of equations that govern the phenomenon, is expected to expand the system perturbation and create an oscillation. Therefore, in order to minimize the perturbation, new variables must be considered in the govern equation homogenizing the boundary conditions and eliminating the oscillation.
Keywords
ablation, classical integral transform technique, Heat transfer, Ablative Material, Parabolic PDE
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