OP-II-3

PP-I-61A NEW METHOD FOR SIMULATING OF REFORMING PROCESSIN INDUSTRIAL REACTORSZhapbasbayev U.K. 1 , Rakhmetova K.B. 21 Kazakh-British Technical University, Tolebi str. 59, Almaty, 050000, Kazakhstan,E-mail: U.Zhapasbayev@kbtu.kz2 Kazakh National University, Almaty, KazakhstanCatalytic reforming is one of important processes of oil refining industry [1, 2].The process is carried out in a system of nonheated consistently connected reactorswith fixed bed of catalyst. There is product warming between reactors.In the known works [1] reforming reactors are calculated by zero-dimensionalscheme. The zero-dimensional methods calculate balance of material and heat flowsat input and output of the reactor, they does not allow to define distributions of flowvelocity, concentration and temperature of reaction mixture in catalyst bed.The mathematical model describing physical process consists of motionequations and heat-mass transfer, both in free parts of the reactor, and in a catalystlayer. The system of motion equations is considered with the biphase model of heatand mass transfer in the catalyst layer, received by the averaging method on phasesof local volume of porous medium.dV ∂p∂ ⎡ 2 ∂V⎛ V V ⎞⎤⎜∂ ∂⎟⎢⎣⎝ ⎠⎥⎦∂ερ∂ερVi+ = 0∂t∂xi∂cN∂cN∂ ⎛ ∂cN⎞ 1 ∂ ⎛ ∂cN⎞ρu + ρv= ⎜ ρDD r + Wz ⎟ + ⎜ ρr ⎟ N∂z∂r∂z⎝ ∂z⎠ r ∂r⎝ ∂r⎠∂cA∂cA∂ ⎛ ∂cA ⎞ 1 ∂ ⎛ ∂cA ⎞ρu + ρv= ⎜ ρDD r + Wz ⎟ + ⎜ ρr ⎟∂z∂r∂z⎝ ∂z⎠ r ∂r⎝ ∂r⎠∂cРar∂cPar∂ ⎛ ∂cPar⎞ 1 ∂ ⎛ ∂cPar⎞ρu + ρv= ⎜ ρDz⎟ + ⎜ ρDrr⎟ + W∂z∂r∂z⎝ ∂z⎠ r ∂r⎝ ∂r⎠∂T∂T∂ ⎛ ∂T⎞ 1 ∂ ⎛ ∂T⎞ρucp+ ρvcp= ⎜λz⎟+ ⎜λrr⎟+ INAω1−ω5+ IPar∂z∂r∂z⎝ ∂z⎠ r ∂r⎝ ∂r⎠( ζ1+ ζ2| V ) ρViiki jρ = − + ⎢−μ δij+ μ + ⎥ − |dt ∂xi∂xj3 ∂x⎜k∂xj∂x⎟i2( ) )AParr( )→N( ω2−ω4) + IN→Gω3IPar→Gω6→+2 2where ζ = 150 1−ευ /( d , ζ = 1,75(1 −ε) /( d ) - expressions of Ergun equations,1 pε2 pεV i - velocity components, m/s, р - pressure, Pа, μ - dynamic viscosity coefficient,kg/(m⋅s), ρ - density of raw, kg/m 3 , с N , с А , с Par - concentrations of naphthenes,aromatics, paraffins accordingly, kmol/kg, с р - thermal capacity of gas, kJ/(kg⋅K),328