Problem regarding the center-line vaporization

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Reference no: EM13939625

Problem 1:

Center-line Vaporization

a) A string of negligible diameter is drawn down the center-line of a pipe containing a Newtonian fluid. At what velocity, w, must the string be drawn in order to vaporize the fluid? Pose the problem in a general fashion but make whatever reasonable simplifying assumptions are necessary to actually come up with a value (or order-of-magnitude) for w. Consider both viscous heating and cavitation, use scaling and discuss whether one or both are dominant in this system given your simplifying assumptions.

b) If the string is accelerated linearly at rate, a(t), to velocity w, what can you say (mathematically) about the rate of acceleration versus heat conduction/convection ver- sus the heat of the string? Obviously this problem will involve some scaling and other innovative approaches to get at an answer.

Reference no: EM13939625

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