Consider the problem below with the solution described by the graph underneath i

Question

Consider the problem below with the solution described by the graph underneath it. Please answer the following questions:

a. Why does Temp-Euler_V1 resemble the steady state solution and Temp-Euler_V2 doesn't?

b. How does using electricity demand pricing help this situation of trying to keep water temperatures low?

Impact of power plant discharge on lake temperature Aquatic life is sensitive to water temperature. This lab involves under standing the impact of cooling water discharge from a power plant into a nearby lake on the lake temperature, as shown in Figure 1. It will make use of mass and energy balances to predict lake temperature as a function of time, which will be solved for numerically. up up power plant Problem information The upstream (inflow) temperature is Tup-18 °C, and it is constant at a flow rate of Qup 360,000 m/h. The power plant discharge tempera ture is at Tdis 40 °C, and it has a variable flow rate, Qdis (m3/h), based on generation of 100 m'/h/MW of electricity generation. The flow out of the lake, Qlake (m'/h), is assumed as the sum of the upstream and discharge flow in this problem, and the lake temperature, Tlake (°C), is assumed the same as the outflow. Qdis dis lake zone The demand of the power plant (MW) by hour of day is given as an Excel sheet on BBLearm, for you to use to calculate flows. For a givern volume of lake (either 105 or 106 m'), calculate the lake temperature over that given day. You should gen- erate a figure that displays: QIake lake Hour of day (0 to 24), on x-axis . Time varying solution using the Euler method with the two volumes (V1 and V2), on y-axis 1 » Steady state solution (does not require the volume), on y-axis 1 MW demand in power plant, on y-axis 2

Explanation / Answer

1. If the volume of lake is low, the temperature of the lake quickly rises and hence the temperature of the lake quickly reaches the steady temperature. It seems that the Temp-Euler_V1 has less volume than Temp-Euler_V2. Hence, Temp-Euler_V1 quickly reaches steady state.

2. If the pricing of electric demand increases than there are chances that the demand decreases and it is evident from the graph that as the demand decreases than the temperature of the lake decreases. From the equations, it can be observed that as the demad increases, the flow rate from the 100 m3/hr/MW and the temperature of lake increaes.

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