Heat transfer modeling of a flat plate with internal heat source via Laplace transform

Silviu Sprinceana; Adriana Tolos (Furnica); Radu Dumitru Pentiuc

doi:10.1117/12.2323407

31 December 2018 Heat transfer modeling of a flat plate with internal heat source via Laplace transform

Silviu Sprinceana, Adriana Tolos (Furnica), Radu Dumitru Pentiuc

Proceedings Volume 10977, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies IX; 109771U (2018) https://doi.org/10.1117/12.2323407
Event: Advanced Topics in Optoelectronics, Microelectronics and Nanotechnologies IX, 2018, Constanta, Romania

Abstract

The study of conductive-convective heat transfer for a flat plate with an internal heat source ^1-4, generally makes use of dedicated differential equations or differential equations systems. To solve the operational calculation, integral transformations can be introduced. This creates an advantage in solving the equations and differential systems in the sense that they are reduced to solving some equations or systems of algebraic equations, which are, at least in theory, easier to solve. The conductive-convective heat transfer phenomenon involves the use of independent and time-dependent variables (t < 0). The Laplace transform introduces an alternative method in solving the differential equations and systems that describe this phenomenon. The purpose of the present analysis is to determine the temperature variation within the flat plate as a function of time and the position inside the plate for the said heat transfer, T(x,y,t). The presented case analysis considers a heat conducting plate in a three-dimensional Euclidean space^5-8, but for simplification, only the displacement along the y direction will be used. The analysis of the temperature field propagation within the plate is done convective, with heat release to the environment. For the Finite Element Analysis (FEA) of the heat transfer model, the plate is meshed on the x, y coordinates and the resulting data used as input to a Matlab model.

Citation Download Citation

Silviu Sprinceana, Adriana Tolos (Furnica), and Radu Dumitru Pentiuc "Heat transfer modeling of a flat plate with internal heat source via Laplace transform", Proc. SPIE 10977, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies IX, 109771U (31 December 2018); https://doi.org/10.1117/12.2323407

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KEYWORDS

Differential equations

MATLAB

Data modeling

Finite element methods

Thermal modeling

3D modeling

Mechanical engineering

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