Question: Consider a 2D flow whose velocity vector is given by (vec{V}=-10 x hat{i}+10 y hat{j}) (mathrm{m} / mathrm{s}) and whose temperature is (T=50 e^{-0.03 t}

Consider a 2D flow whose velocity vector is given by \(\vec{V}=-10 x \hat{i}+10 y \hat{j}\) \(\mathrm{m} / \mathrm{s}\) and whose temperature is \(T=50 e^{-0.03 t} \sin (2 x) \cosh (5 y)\) kelvin. The fluid has a thermal conductivity of \(0.6 \frac{\mathrm{W}}{\mathrm{mK}}\), a density of \(1000 \mathrm{~kg} / \mathrm{m}^{3}\), and a specific heat of \(4180 \frac{\mathrm{J}}{\mathrm{kgK}}\). What is the value of the heat generation at a time of 10 seconds and \((x, y)\) coordinates of \((1,1)\) meters?

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