Hydrocarbon burning nowadays has a great part of the required energy consumed in the world, mainly in the transport vehicle engines, which seems to be the main source in the future. This urges us develop the fuel burning in different internal combust
ion engines according to the environmental increasing requirements nowadays. The carbon fine-dust produced is the main source of the environmental pollutants, which could be considered as
the main cause of cancer. Therefore our present paper deals with the way of carbon fine dust formation during fuel burning in engines and gives a mathematical model describing that complex method, and studying the different function affecting its formation, the aim is to find a way to develop the burning process in engines and increase its working and decrease the pollution produced.
