Question

A straight, inextensible wire is at a constant temperature T. At t= 0 it starts being pulled with a constant velocity U> 0 in its own direction. When the generic point of the wire passes through the origin at time t=0, it is heated to a temperature To(f). Suppose (or pretend) that, in the time interval of interest. the temperature at each point of the wire does not change appreciably for t> 0. In a Lagrangian framework the temperature field in the wire is T(E, t), where is the position of the generic point along the wire, which may be taken as the position of that point at t= 0. In an Eulerian framework, the temperature field is T(r.1), where r is the generic observation point. (a) Write an expression for the temperature distribution in the wire at a generic time t > 0, (i) in a Lagrangian framework, and (is) in an Eulerian framework. (6) Calculate the time derivative of the temperature observed at a fixed position r>0 according to the two descriptions​

Answer 1

Answer:

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Step-by-step explanation:

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