| Summary: | The IBVP for the heat conduction in long cylinders consists of heat conduction
equation, initial condition and boundary condition. Heat conduction equation in
cylinders describes heat distribution in solid and hollow cylinder over time. The discussion
in this Bachelor Thesis starts from Bessel�s equation, Bessel function, and
Fourier-Bessel series which is used to solve heat conduction problem in cylinders.
Then, we discuss about the heat conduction equation modelling, some variation of
homogeneous IBVP and nonhomogeneous IBVP. We discuss only nonhomogenous
IBVP which the heat source and nonhomogeneous boundary condition do not depend
on time. Homogeneous IBVP is solved by method of separation of variables
and nonhomogeneous IBVP is solved by splitting the problem up into steady-state
problem and transient problem.
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