Simplified mathematical model for calculating global warming through anthropogenic CO2

• Model has been developed to understand the effect of carbon dioxide on the mechanism of global warming.
• Heat transfer in the atmosphere containing CO2 and H2O can be described by known relations in thermal engineering.
• Temperature of the Earth increases significantly with the CO2 concentration.
• While doubling the CO2 concentration, the temperature of the Earth increases by 0.4 K.
• Temperature increase of more than 0.4 K is predicted for the future.

A simplified mathematical model has been developed to understand the effect of carbon dioxide on the mechanism of global warming. The heat transfer in the atmosphere, in particular the radiation, can be described by known relations in thermal engineering. Here, the radiation exchange among the gas which contains water vapor and carbon dioxide and the Earth's surface as well as the clouds is considered. The emissivity of the gases are a function of temperature, gas concentration and beam length of the atmospheric layer defined through the model. The model is validated with the known average temperature of the Earth. The emissivity of the clouds acts as an adjustment parameter. The temperature of the Earth increases significantly with the CO2 concentration. While doubling the concentration of CO2, the temperature of the Earth increases by 0.4 K.