• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2018, Volume: 11, Issue: 25, Pages: 1-5

Original Article

Application of Finite Elements in the Prediction of a Two-Dimensional Temperature Profile for Study of Advection-Conduction Phenomena


Background/Objectives: Thermodynamic study of advection phenomena relies on the analytical methods to solve a series of Partial Differential Equations (PDE) that generates from multi-dimensional problems, which becomes more and more complex, especially when a 2D or 3D temperature profile is required. Methods: For the solution of heat transfer problems with simultaneous advection-conduction phenomena, finite differences of 2nd, 4th and 6th order were used to approximate the solution of a two-dimensional PDE. Findings: The results show that a low discretization of the system, originated substantial errors in the application of the high order finite, but, when is correctly used, the numeric approximation shows with great precision the temperature profile for the simultaneous advection and conduction heat transfer. Application: To develop a method to accurately predict the temperature profile for complex heat transfer applications where simultaneous advection and conduction are takeninto account.

Keywords: Advection, Conduction, Heat Transfer, Numerical Methods, Partial Differential Equations


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