MKE analiza 2D nestacionarnega prenosa toplote

Kolenc, Aljaž (author), Mole, Nikolaj (mentor)

V tej nalogi je obravnavan 2D nestacionarni problem prenosa toplote z uporabo metode končnih elementov. Cilj obravnave je določiti na kakšen način ABAQUS rešuje probleme tega tipa. Dobljeni rezultati kažejo, da ABAQUS uporablja Gaussovo integracijsko formulo za izračun integralov, kapacitivnostno matriko pa integrira v vozliščnih točkah. Za obravnavo konvekcije uporablja povprečno vozliščno vrednost temperatur, za upoštevanje sevanja pa uporablja funkcijsko aproksimacijo z integracijo v vozliščnih točkah.

• Language: Slovenian
• Keywords: metoda končnih elementov, nestacionarni prenos toplote, izoparametrični končni elementi, program ABAQUS, Gaussova integracijska metoda
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [A. Kolenc]
• Year: 2020
• Number of pages: XIV, 48 f.
• PID: 20.500.12556/RUL-117728
• UDC: 519.61:536.2(043.2)
• COBISS.SI-ID: 23826947
• Publication date in RUL: 23.07.2020

Secondary language

• Language: English
• Title: Finite element analysis of 2D transient heat transfer

Abstract

This thesis considers a 2D transient heat transfer problem using finite element analysis. The goal of this consideration is to determine the methods that ABAQUS uses to solve the aforementioned types of problems. The results indicate that ABAQUS uses Gaussian quadrature to calculate the governing integrals. Integration of capacitance matrix is performed at element nodes. In order to calculate convective heat flux the value of average node temperatures is used while the calculation of radiation heat flux is performed using functional approximation with integration at node points.

• Keywords: finite element analysis, transient heat transfer, isoparametric finite elements, ABAQUS, Gaussian quadrature