Indian Journal of Science and Technology
DOI: 10.17485/ijst/2018/v11i25/128762
Year: 2018, Volume: 11, Issue: 25, Pages: 1-5
Original Article
Jorge Duarte Forero1*, Guillermo E. Valencia2 and Luis G. Obregón3
1 Mechanical Engineering Department, DIMER Research Group, Universidad del Atlántico, Barranquilla, Colombia; [email protected]
2 Mechanical Engineering Department, KAI Research Group, Universidad del Atlántico, Barranquilla, Colombia; [email protected]
3 Chemical Engineering Department, Sustainable Chemical and Biochemical Processes Research Group, Universidad del Atlántico, Barranquilla, Colombia; [email protected]
*Author for correspondence
Jorge Duarte Forero,
Mechanical Engineering Department, DIMER Research Group, Universidad del Atlántico, Barranquilla, Colombia; [email protected]
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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