Consider an infinitely long circular cylinder with finite radius R and thermal conductivity k. There is...

  

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Consider an infinitely long circular cylinder with finite radius R and thermal conductivity k. There is a line-shaped heat source that generates heat at a rate of q, per unit axial length. This heat source is at the centre of the cylinder at 7 = 0. The surface of the cylinder at r = R is at temperature T. Determine analytically the steady state temperature distribution through the entire cylinder and draw the temperature distribution. Consider a sphere with finite radius R and thermal conductivity k. There is a point-size heat source that generates heat at a rate of qs. This heat source is at the centre of the sphere at r = 0. The surface of the sphere at r = R is at temperature T. Determine analytically the steady state temperature distribution through the entire sphere and draw the temperature distribution. Consider an infinitely long circular cylinder with finite radius R and thermal conductivity k. There is a line-shaped heat source that generates heat at a rate of q, per unit axial length. This heat source is at the centre of the cylinder at 7 = 0. The surface of the cylinder at r = R is at temperature T. Determine analytically the steady state temperature distribution through the entire cylinder and draw the temperature distribution. Consider a sphere with finite radius R and thermal conductivity k. There is a point-size heat source that generates heat at a rate of qs. This heat source is at the centre of the sphere at r = 0. The surface of the sphere at r = R is at temperature T. Determine analytically the steady state temperature distribution through the entire sphere and draw the temperature distribution.