Answer to Question #127118 in Physics for ANANDU GOPAN

Question

A uniform bar of length 10 centimetres is held at 0*C- at x Dom and 100°C at x = 10cm. The bar is first heated with an initial temperature distribution given by* f(x) = 100- x, 0 < x < 10 at any time t , the temperature ii at the point on the bar satisfies the heat conduction equation, 

8.0 au 4–= — 0 < x < 10, 1>0 ax' at 

(a) State the boundary condition and initial conditions for this physical problem,

(b) Using finite difference approx,rnation, approximate the heat.distribution along . the bar after 10 minutes

(c) Construct the analytical solution of the heat equation.

(d) Discuss about the accuracy of the approximation solution in (b), 

Answer 1

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