Changes for page Does nuclear energy contribute to warming?
Last modified by Gijs Zwartsenberg on 2021/06/11 13:28
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... ... @@ -1,4 +1,4 @@ 1 -Yes it does,... but infinitesimally especially compared to other sources. It is rediculously little! 1 +**SPOILER:** Yes it does,...(like almost any other activity, remember thermodynamics?) but infinitesimally especially compared to other sources. It is rediculously little! 2 2 3 3 # Redundant thermal energy released by nuclear power plants vs. the thermal energy as provided by the sun 4 4 ... ... @@ -6,107 +6,90 @@ 6 6 7 7 ## Calculate the incident infra-red solar energy at the surface of Earth. 8 8 9 - 10 -```python 11 -import math 9 +```python 10 +import math 12 12 ``` 13 13 14 14 Earth radius in meters is: 15 15 16 - 17 -```python 15 +```python 18 18 equatorial_radius = 6378e03 19 -polar_radius = 6357e03 17 +polar_radius = 6357e03 20 20 ``` 21 21 22 22 Approximate Earth surface exposed to solar irradiance can be calculated from $\pi\cdot r^2$. This can be though of as a disc (plane) facing the sun (i.e. perpendicular to the rays) that is illuminated by sunlight. 23 23 24 - 25 -```python 22 +```python 26 26 earth_disc_surface = math.pi * equatorial_radius**2 27 -print('irradated surface area: ', earth_disc_surface,'m^2') 24 +print('irradated surface area: ', earth_disc_surface,'m^2') 28 28 ``` 29 29 30 30 irradated surface area: 127796483130631.38 m^2 31 31 32 - 33 33 Sunlight's composition at ground level, per square meter, with the sun at the zenith, is about 527 watts of infrared radiation, 445 watts of visible light, and 32 watts of ultraviolet radiation. 34 34 35 -https://ag.tennessee.edu/solar/Pages/What%20Is%20Solar%20Energy/Sunlight.aspx 31 +<https://ag.tennessee.edu/solar/Pages/What%20Is%20Solar%20Energy/Sunlight.aspx> 36 36 37 - 38 -```python 39 -infrared_sol_power = 527 33 +```python 34 +infrared_sol_power = 527 40 40 ``` 41 41 42 42 Total solar infrared power available at the surface is thus: 43 43 44 - 45 -```python 39 +```python 46 46 earth_sol_power = earth_disc_surface * infrared_sol_power 47 47 print('Total power: ',earth_sol_power / 1e12, 'Tera Watt' ) 48 -print('Total power: ',earth_sol_power / 1e15, 'Peta Watt') 42 +print('Total power: ',earth_sol_power / 1e15, 'Peta Watt') 49 49 ``` 50 50 51 51 Total power: 67348.74660984274 Tera Watt 52 52 Total power: 67.34874660984273 Peta Watt 53 53 54 - 55 55 Total energy delivered over a year is thus: 56 56 57 - 58 -```python 50 +```python 59 59 earth_sol_energy = earth_sol_power * 24 * 365 60 -print('Total energy: ', earth_sol_power * 24 * 365 / 1e18, 'Exa Watt hour' ) 52 +print('Total energy: ', earth_sol_power * 24 * 365 / 1e18, 'Exa Watt hour' ) 61 61 ``` 62 62 63 63 Total energy: 589.9750203022223 Exa Watt hour 64 64 65 - 66 66 ## Calculate the total thermal energy released by all nuclear power plants on Earth 67 67 68 68 Nuclear energy now provides about 10% of the world's electricity from about 440 power reactors. In 2018 nuclear plants supplied 2563 TWh of electricity. 69 69 70 -https://www.world-nuclear.org/information-library/current-and-future-generation/nuclear-power-in-the-world-today.aspx 61 +<https://www.world-nuclear.org/information-library/current-and-future-generation/nuclear-power-in-the-world-today.aspx> 71 71 72 72 Nuclear power plants usually have efficiency about 33%. In modern nuclear power plants the overall thermodynamic efficiency is about one-third (33%), so 3000 MWth of thermal power from the fission reaction is needed to generate 1000 MWe of electrical power. 73 73 74 - 75 -```python 65 +```python 76 76 electric_energy = 2563e12 77 77 efficiency = 0.33 78 78 thermal_energy = electric_energy / efficiency 79 -print('Initial thermal: ', thermal_energy / 1e12, 'Tera Watt hour') 69 +print('Initial thermal: ', thermal_energy / 1e12, 'Tera Watt hour') 80 80 ``` 81 81 82 82 Initial thermal: 7766.666666666666 Tera Watt hour 83 83 84 -```python 74 +```python 85 85 released_energy = thermal_energy - electric_energy 86 -print('Released thermal: ', released_energy / 1e12, 'Tera Watt hour') 76 +print('Released thermal: ', released_energy / 1e12, 'Tera Watt hour') 87 87 ``` 88 88 89 89 Released thermal: 5203.666666666666 Tera Watt hour 90 90 91 - 92 92 ## Ratio of solar infrared energy and heat released by nuclear power plants 93 93 94 - 95 -```python 96 -ratio = released_energy/earth_sol_energy 83 +```python 84 +ratio = released_energy/earth_sol_energy 97 97 ``` 98 98 99 99 The ratio of thermal energy released by all nuclear power plants in the world over the period of a year, to the total delivered thermal energy by the sun over the period of a year is given below. 100 100 101 - 102 -```python 103 -print(ratio) 89 +```python 90 +print(ratio) 104 104 ``` 105 105 106 106 8.82014744285448e-06 107 107 108 -```python 109 - 110 -``` 111 - 112 - 95 +[Jupyter notebook can be found here: https://gitlab.com/JayBeRayBearGun/energy/-/tree/master#](https://gitlab.com/JayBeRayBearGun/energy/-/tree/master#) - Extract
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... ... @@ -1,0 +1,1 @@ 1 +Yes it does,...(like almost any other activity, remember thermodynamics?) but infinitesimally especially compared to other sources. It is rediculously little! The ratio of thermal energy released by all nuclear power plants in the world over the period of a year, to the total delivered thermal energy by the sun over the period of a year is 8.82014744285448e-06 - image
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