Simulation of heat transfer of mildly-cracked n-decane in a tube with 3-dimensional equation of state look-up table

Abstract

The objective of this paper is to develop a numerical method to simulate mildly cracked fuel flow and heat transfer at supercritical pressures. The thermodynamic and transport properties determined by temperature, pressure, and mass fraction of each component were simplified to the function of temperature, pressure and conversion rate. These properties were reconstructed by a three-dimensional equation of state (EOS) look-up table. The three-dimensional EOS table look-up method was two orders of magnitude faster than SUPERTRAPP database. This method was validated and could improve the efficiency of design for active cooling system of scramjet engine. NomenclatureInner diameter of the tube, m E a = Activation energy, J mol -1 f = Molecular weight kg mol -1 G = Mass flow rate per unit areakg m -2 s -1 H p = Enthalpy, J kg -1 H s = Sensible enthalpy, J kg -1 H f = Formation enthalpy, J kg -1 k A = Arrhenius rate constant M R = Reactant M P = Product M W = Molecular weight, g mol -1 nc = Number of species p = Pressure, Pa q w = Wall heat flux, W m -2 R = Gas constant, J mol -1 K -1 T = Temperature, K y = product mass fraction of an indiviual product species Y = mass fraction Greek λ = Thermal conductivity, W m -1 K -1 ν = Arrhenius rate constant ξ = Conversion of reactant Subscript i = species * Graduate Student, Downloaded by KUNGLIGA TEKNISKA HOGSKOLEN KTH on July 30, 2015 | http://arc.aiaa.org | AIAA Aviation av = Average Dimensionless number Bo * = Buoyancy parameter, Gr * Re 3.425 P r 0.8 Gr * = Grashof number, gD 4 qw υ 2 λT P r = Prandtl number, µcp λ q + = Reduced heat flux, qw GcpT Re = Reynolds number, GD µ