Answer Happy

T= 4°C T=1°C T=3°C V=2" T=2°C uniform velocity field In the above diagram, suppose the blue filled contours represent a discreto temporaturo field attached to a fluid that is advecting to the right. That is, Tis exactly 1, 2, 3 or 4 "C at all points in the fluid. The fluid is advecting to the right at a uniform velocity of 2 m/s. The red and groen dashed lines represent control volumos. Suppose that each control volume has a longth, width and depth of 1 meter (so the area of each side (A) is 1 m) a. Writo a general equation for the rate of change of heat in one of these control volume. This solution should be in terms of variables, without numbers plugged in b. Solve the equation you wrote in part (a.) to find the rate of change of heat content for the green control volume (on the right). I'm looking for a quantitative solution with actual values plugged in and reduced to a real number with a unit. Once you have solved the equation give a qualitative explanation for why you get the sense of the answer you get? Is the box gaining or loosing hoat?