1 Introduction Diesel engines work by spraying droplets of fel into air at high temperature and pressure These droplets penetrate for a finite distance until they have broken up and evaporated, then the gaseous fuel can combust with the ai. Your task in this assignment is to analyse the penetration of single Diesel droplet which doesn't undergo evaporation. All objects moving through a fluid (liquid or gas) experience drag due to the friction of the uid molecnles and disturbances created in them. This effect means that vehicles need much more power to maintain a faster speed and is also responsible for the phenomenon of terminal velocity. The acceleration of a droplet i adue to drag ca odelled by: dt Pd where is the velocity of the droplet, C1) is the drug coeficient (u measure of how quickly the ambient luid-air-will change the sped of an object he droplet), p is the density of the ga air), i the density of the droplet and vg is the velocity of the gas (air). The aseous density ean be oblained from the ideal gas law: whcre p is the pressure, H is the idcal gas constant for the particular gas and I is the gascous low quickly the dropletmvs through the gas is aont parnler, which is deribed by the (droplet) Hcynolds number wheie ,' the dynamic viscoRity of the gas. The natire of the drag coefficient varies depending on he low regime descibed by Ea. (3) 56.08/ e2 18.5Rd.". 2x1 ::: 500 770.1 lRe 500 The file anv contains measured data of the speed of an individual droplet under the following conditions: = 2MPa R 286.9 J/(kgK) = = 1500 K Pd = 870 kg/m d = 1 mm 1.458 x 10-T 1110.4 K/Tg Pa.s Your task is to calculate the acceleration of the droplet using E (1)