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+//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491

+

+//Chapter-12, Example 1, Page 293

+//Title: Fine Particle (Geldart A) Bubbling Bed Reactor

+//==========================================================================================================

+

+clear

+clc

+

+//INPUT

+Kr=10;//rate constant in m^3 gas/m^3 cat s

+D=2E-5;//Diffusion coefficient of gas in m^2/s

+dpbar=68;//Average partilce size in micrometers

+ephsilonm=0.5;//Void fraction of fixed bed

+gammab=0.005;//Ratio of volume of dispersed solids to that of bubble phase

+ephsilonmf=0.55;//Void fraction at minimum fluidization condition

+umf=0.006;//Velocity at minimum fluidization condition in m/s

+db=0.04;//Equilibrium bubble size in m

+Lm=0.7;//Length of the bed in m

+uo=0.1;//Superficial gas velocity in m/s

+dbed=0.26;//Diameter of the bed in m

+g=9.81;//Acceleration due to gravity in square m/s^2

+

+//CALCULATION

+ubr=0.711*(g*db)^0.5;//Rise velocity of bubble from Eqn.(6.7)

+ub=uo-umf+ubr;//Velocity of bubbles in bubbling beds in Eqn.(6.8)

+Kbc=4.5*(umf/db)+5.85*((D^0.5*g^0.25)/db^(5/4));//Gas interchange coefficient between bubble and cloud from Eqn.(10.27)

+Kce=6.77*((D*ephsilonmf*0.711*(g*db)^0.5)/db^3)^0.5;//Gas interchange coefficient between emulsion and cloud from Eqn.(10.34)

+delta=uo/ub;//Fraction of bed in bubbles from Eqn.(6.29)

+fw=0.6;//Wake volume to bubble volume from Fig.(5.8)

+gammac=(1-ephsilonmf)*((3/(ubr*ephsilonmf/umf-1))+fw);//Volume of solids in cloud to that of the bubble from Eqn.(6.36)

+gammae=((1-ephsilonmf)*((1-delta)/delta))-gammab-gammac;//Volume of solids in emulsion to that of the bubble from Eqn.(6.35)

+ephsilonf=1-(1-delta)*(1-ephsilonmf);//Void fraction of fixed bed from Eqn.(6.20)

+Lf=(1-ephsilonm)*Lm/(1-ephsilonf);//Length of fixed bed from Eqn.(6.19)

+Krtou=Kr*Lm*(1-ephsilonm)/uo;//Dimensionless reaction rate group from Eqn.(5)

+Kf=gammab*Kr+1/((1/Kbc)+(1/(gammac*Kr+1/((1/Kce)+(1/(gammae*Kr))))));//Raction rate for fluidized bed from Eqn.(14)

+XA=1-exp(-1*Kf*Lf/ub);//Conversion from Eqn.(16)

+

+//OUTPUT

+mprintf('\nThe dimnesionless reaction rate group: %f',Krtou);

+mprintf('\nThe reaction rate for fluidized bed: %fs^-1',Kf);

+mprintf('\nConversion: %f',XA);

+

+//====================================END OF PROGRAM ======================================================
\ No newline at end of file