Question: (b) A student studied heat transfer in a semi-infinite solid as shown in Fig.(a). The solid surfoce is exposed to a heating source with a


(b) A student studied heat transfer in a semi-infinite solid as shown in Fig.(a). The solid surfoce is exposed to a heating source with a constant heat flux input q0. The heat conduction flux qa at the given time t and the distance x in the solid can be expressed by the equation (B1). qA=q[1erf(2axx)] 3. (a) where Ti is the initial temperature of the solid. a is the themal diffusivity of the solid. Acoording to equation (B1). the student derived equation (B2) for the temperature distribution T(x,t) Verify the equation (B-2) (you must show the problem-solving peocedure). [10 MARK Additional information: erf(x)=20xet2dt;erf(0)=0;erf(m)=1;erf(2)=0.99;dxderf(u)=2cep(u2)dxdu;ym(1crf(y))dy=yerf(y)+xey2y
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