(2 marks) Q6 Consider the diffusion temperature 0(x,t) in a homogeneous one-dimensional heat conducting rod of length L.
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(2 marks) Q6 Consider the diffusion temperature 0(x,t) in a homogeneous one-dimensional heat conducting rod of length L.
(2 marks) Q6 Consider the diffusion temperature 0(x,t) in a homogeneous one-dimensional heat conducting rod of length L. The initial temperature at time 1 =0 is given by sinx and two ends are fixed at zero temperature. Assume that there is no internal source that generating heat to the system and the thermal diffusivity parameter, a=1. (a) Sketch the geometrical configuration of the system and write the corresponds governing equation including the Dirichlet boundary conditions, (6 marts (b) Solve the problem using separation of variables. (26 marks)
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