Development of Mathematical Model to Study the Variation Temperature due to the Collision of

To study the variation of temperature with the collision of the air molecules, with aircraft the authors consider the random velocities of the air molecules or aerosol and aircraft. After this, the authors start to develop and extend the old relation of gases, collision, velocities, and temperature. On combining, the authors derived a new equation and relation among these parameters. The derivation for this work assumes some suitable and considerable, assumptions based on collision theory. The relation shows, on collision between the aircraft and air molecules the velocity of the aircraft does not change while the velocity of the air molecules goes on change, which is our goal. 

The change in velocity of gases is used to develop and study the variation of temperature of the atmosphere, the variation of temperature takes place because the speed of aircraft and air molecules are exchangeable in some cases. Therefore, two relations are developed (24) and (25), finally, which depend upon the initial velocities of aircraft and air molecules. On considering the case for initial velocities of aircraft is greater than initial velocities of air molecules, after the collision, the velocities of gases go on the increase, and hence the temperature increase and vice-versa in case of initial velocities of aircraft is less than the initial velocity of air molecules.