For the system shown Draw the freebody diagram for the syste

For the system shown, Draw the free-body diagram for the system shown Use the FBD to write the differential equations of motion Write the equations in matrix form If m = 5 kg, L = 2 m, k = 800 N/m, and I_G = mL^2/12 calculate the natural frequencies and the mode shapes for the system. You do not have to sketch the mode shapes

Solution

1. calculate the convective heat transfer coefficient between the water and the inner surface of the pipe.

2. what is the overall transfer coefficient U between the water and the ambient air based on the outer surface area A of the pipe.

3. consider the copper pipe as a heat exchanger, draw the temperature profiles of the water and air on the same graph.

4. carry out the calculations using the operating characteristic of a heat exchanger, and determine the number of transfer units N of the heat exchanger.

5. determine the efficiency of the heat exchanger.

6. determine the heat transfer rate from the water to the ambient air

7. find the temperature of the water at the exit of the pipe

8. what is the new exit temperature of the water, if the inlet temperature Th increases from 90 to 95 degree celcius