Physics · Fluid Mechanics
A tiny temperature probe is fully immersed in a flowing fluid and moves with zero relative velocity. The velocity field is given by V = (2x)i + (y + 3t)j, and the temperature field is T = 2x2 + xy + 4t. What is the material time rate of change of temperature recorded by the probe at (x = 1, y = 1, t = 1)?
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