Consider an egg being cooked in boiling water in a pan. Would you model the heat transfer to the egg as one-, two-, or three-dimensional? Would the heat transfer be steady or transient? Also, which coordinate system would you use to solve this problem, and where would you place the origin? Explain.
What will be an ideal response?
Assuming the egg to be round, heat transfer to an egg in boiling water can be modeled as one-dimensional since temperature differences (and thus heat transfer) will primarily exist in the radial direction only because of symmetry about the center point. This would be a transient heat transfer process since the temperature at any point within the egg will change with time during cooking. Also, we would use the spherical coordinate system to solve this problem since the entire outer surface of a spherical body can be described by a constant value of the radius in spherical coordinates. We would place the origin at the center of the egg.
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Why did so much of the idealistic youthful political movements and counterculture end in disillusionment and cynicism? Could those movements have taken a different turn under different circumstances, such as if President Johnson had concluded a peace treaty ending American involvement in the Vietnam War and if the political assassinations of Martin Luther King, Jr., Robert F. Kennedy, and Malcolm X during the 1960s had not occurred?
What will be an ideal response?
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