Analytical Solutions for Heat Conduction of Plates with Time Dependent Boundary Conditions

  • 洪 浚榮

Student thesis: Master's Thesis


This thesis discusses the analytical solution for heat conduction of the two-dimensional plate with time dependent boundary conditions Reducing the two-dimensional problem into two one-dimensional subsystems by means of the principle of superposition and generalized Fourier coefficient With help of shifting function method the non-homogeneous boundary conditions problem can be converted into the transformed function associated with homogeneous boundary conditions Eventually the transformed function can be determined by the method of eigenfunction expansion For Dirichlet boundary conditions this thesis has developed the solution method which does not require any integral transformation and is easy to solve The analytical solution is expressed in product and summation form To illustrate the accuracy examples are given to compared to the existing literature Finally some Dirichlet boundary conditions are studied by the proposed solution method
Date of Award2017 Aug 3
Original languageEnglish
SupervisorSen-Yung Lee (Supervisor)

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