Copper wire coated insulating materials on its surface is assumed perfectly insulated laterally. Thus heat in the w...
An infinitely long copper wire coated insulting material on its surface is assumed perfectly insulated laterally. Thus heat in the wire flows in x-direction only.- In this case the temperature of the wire can be modeled by 1-D heat equation: au au ax at Assume that initially the temperature distribution of the wire is u(x,0)-T for x<a A. Please show that the solution of 1-D heat equation in this case is ulxt)-o [Acos(px)Bsin (px)]eptdP where A and B are the...
An infinitely long copper wire coated insulting material on its surface is assumed perfectly insulated laterally. Thus heat in the wire flows in x-direction only.- In this case the temperature of the wire can be modeled by 1-D heat equation: au au ax at Assume that initially the temperature distribution of the wire is u(x,0)-T for x<a A. Please show that the solution of 1-D heat equation in this case is ulxt)-o [Acos(px)Bsin (px)]eptdP where A and B are the...
2. In lecture, we talked about the heat equation on a thin, laterally insulated rod. There are many other domains on which you might want to determine the temperature. In this question, we explore the temperature on a wire that has been formed into a circle. thin wire, length 2L, laying flat on [-L,L] bend wire into a circular shape result is a circular wire where the ends x=L and x=-L correspond to one point now. While the PDE remains...