Numerical modeling of 1D heterogeneous combustion in porous media under free convection taking into account dependence of permeability on porosity

摘要

Usingnumericalexperimenttheone-dimensionalunsteadyprocessofheterogeneouscombustioninporousobjectunderfreeconvectionisconsideredwhenthedependenceofpermeabilityonporosityistakenintoaccount.Thecombustionisduetoexothermicreactionbetweenthefuelinthesolidporousmediumandoxidizercontainedinthegasflowingthroughtheporousobject.Inthepresentworktheprocessisconsideredundernaturalconvection,i.e.whentheflowrateandvelocityofthegasattheinlettotheporousobjectsareunknown,butthegaspressureatobjectboundariesisknown.Theinfluenceofchangingofpermeabilityduetothechangingofporosityonthesolutionisinvestigatedusingoriginalnumericalmethod,whichisbasedonacombinationofexplicitandimplicitfinite-differenceschemes.Itwasshownthattakingintoaccountthedependenceofpermeabilityonporosity,whichisdescribedbysomeknownequations,cansignificantlychangethesolutioninone-dimensionalcase.Thechangingofpermeabilityduetothechangingofporosityleadstothespeedincreasingofbothcocurrentandthecountercurrentcombustionwaves,andtothetemperatureincreasinginthecombustionzoneofcountercurrentcombustionwave...