of oil were consumed hc_m u2062 1 3600 u2062 u222b 0 86400 u2062 hc_mfr u2062 t u2062 u2146 t u2062 1 3600 u2062 u222b 0 86400 u2062 4 21258 u2062 ln u2061 t 10 9706 u2062 u2146 t u2062 hc_m 1 3600 4 21258 u2062 t u2062 u2062 ln u2061 t t 10 9706 u2062 t u2062 u2758 0 86400 784 8 u2062 u2062 g note that it is necessary to divide by 3600 as the logarithmic model was obtained using a seconds as a time stamp the result is very close to the data from the drain and weigh especially if a g hr rate is calculated fig3 is a graph showing the hc emissions during motoring of a heavy duty diesel engine the data can be seen to have a logarithmic trend and shows 8 hours of 1 hz hc emissions data during motoring conditions the x axis is time in seconds and the y axis is hydrocarbons in parts per million it can be seen that when the engine reaches whole boundary conditions and the dynamometer is motoring the engine the level of hydrocarbons measured 34 is relatively level at about 40 ppm over the time measured with an anatomy of data at 36 which is one data point out of sync with the other data points that form the line 34 and.