U? = 5 mph T? = 90°F L = 0.5 m W = 0.75 m Top view q”s = 490...

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USE PYTHONA solar photovoltaic panel is mounted on a mobile traffic sign in order to provide power without being connected to the grid. The panel is 𝑊 = 0.75 m wide by 𝐿 = 0.5 m long. The wind blows across the panel with a velocity 𝑢∞ = 5 miles/hr and temperature 𝑇∞ = 90°F, as shown in the schematic below. The backside of the panel is insulated. The panel surface has an emissivity of 𝜀 = 1.0 and radiates to the surroundings at 𝑇∞ . The PV panel receives a solar flux of 𝑞𝑠 ′′ = 490 W/m2. The electricity generated by the panel is quantified with an efficiency 𝜂, defined by the ratio of electrical energy produced by the panel to the incident solar radiation. The electrical generation is the product of the efficiency, the solar flux, and the panel area. The efficiency of the panel is a function of the surface temperature; at 20°C the efficiency is 15% and the efficiency by 0.25%/K as the surface temperature increases (i.e., if the panel surface is at 40°C then the efficiency has ben reduced to 10%). All of the solar radiation absorbed by the panel and not transformed into electrical energy must be either radiated or convected to its surroundings.USE PYTHON: (1) Determine the panel surface temperature, 𝑇𝑠, and the amount of electrical energy is generated by the panel. (Hint: This will require some iterations to solve. I recommend doing this in code rather than by hand as the next three problems will also need iteration to be done correctly.) (2) Plot the electrical energy generated by the panel as a function of the solar flux for 𝑞𝑠 ′′ ranging from 100 W/m2 to 700 W/m2. Your plot should show that there is an optimal value for the solar flux. Explain this result. (3) Plot the electrical energy generated by the panel as a function of the wind velocity (with 𝑞𝑠 ′′ = 490 W/m2 ) for 𝑢∞ ranging from 5 mph to 50 mph . Point out the transition to turbulence (Hint: Use an if/else statement to indicate what correlations to use when turbulence occurs) (4) Plot the shear force experienced by the panel due to the wind as a function of the wind velocity for 𝑢∞ ranging from 5 mph to 50 mph. Point out the transition to turbulence. L-0.5m u.= 5 mph T-90F W=0.75m top view =490W/m u..=5 mph T=90F side view

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u? = 5 mph T? = 90°F L = 0.5 m W = 0.75 m Top view q''s = 490 W/m² Side view u? = 5 mph T? = 90°F

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u? = 5 mph T? = 90°F L = 0.5 m W = 0.75 m Top view q''s = 490 W/m² Side view u? = 5 mph T? = 90°F

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