Friday, November 10, 2017

Cool Liquid Fuel Boom

\(T_{boom}\) for liquid fuel,

Kerosene \(C_{13.5}H_{29}\), molar mass of \(0.19136\,kgmol^{-1}\) and density \(795\,kgm^{-3}\)

\(v_{rms}=3.4354*795*\cfrac{1}{13.5*6+29*1}=24.83\,ms^{-1}\)

\(T_{boom}=\cfrac{24.83^2*0.19136}{3*8.3144}=4.729\,K\)

Base on another set of data Kerosene \(C_{12}H_{26}\), molar mass of \(0.17032\,kgmol^{-1}\) and density \(750\,kgm^{-3}\)

\(v_{rms}=3.4354*750*\cfrac{1}{12*6+26*1}=26.29\,ms^{-1}\)

\(T_{boom}=\cfrac{26.29^2*0.17032}{3*8.3144}=4.719\,K\)

Diesel \(C_{12}H_{24}\), molar mass of \(0.1683\,kgmol^{-1}\) and density \(840\,kgm^{-3}\)

\(v_{rms}=3.4354*840*\cfrac{1}{12*6+24*1}=30.05\,ms^{-1}\)

\(T_{boom}=\cfrac{24.83^2*0.1683}{3*8.3144}=6.225\,K\)

Gasoline \(C_{8}H_{18}\), molar mass of \(0.1142\,kgmol^{-1}\) and density \(719.7\,kgm^{-3}\)

\(v_{rms}=3.4354*719.7*\cfrac{1}{8*6+18*1}=37.46\,ms^{-1}\)

\(T_{boom}=\cfrac{37.46^2*0.1142}{3*8.3144}=6.560\,K\)

They are way cold.  Very cold.  By themselves, they are not indicative of any thing.  Maybe they are resistance to further cooling.