Isolated Fluid Oxygen Drop Behavior in Fluid Hydrogen at Rocket Chamber Pressures

A moclcl has been clevelopecl for the behavior of an isolatecl fluicl drop of a single compound immersed into another compound in finite, cluiescent surroundings at supexcritical conclitiolls. The moclel is based upon fluctuation theory which accounts for both Sorct ancl L)ufour ef[ects in the calculation of the transport matrix relating molar and heat fIuxes to the transport properties anti the thermodynamic variables. ‘The transport properties have bccll nlocleled over a wide range of pressure ancl temperature variation a])plicable to 1,(3X – H2 conditions in rocket motor combustion chambers. The equations of state have been calculated using a previouslyderived, computationally-ef ficient ancl accurate protocol. Results obtained for the 1,02 -H2 system show that the supercritical behavior is essex~tially one of cliffusion. The tenll)crature profile relaxes fastest followecl by the density ancl lastly by the mass fraction profile. AIi eflective I,ewis number calculated using theory clerivecl elswhere show’s that it is larger by approximately a factor of 40 than the traditional l,ewis number. The parametric ~’ariations show that gradients increasingly persist with increasing fluid chop size or pressure, ancl w’itll decreasing temperature. The implication of these results upon accurate measurements of fiuicl drop size uncler supercritical conditions is cliscussccl.