Lab 6 - Modeling with TK Solver
                                (TK Solver Rule Sheet)

1)  Model Equations:

        a) fluidized Bed Drying Equations.
        b) Definition of Equation Variables.

      

2)   TK Solver Rule Sheet
------------------Fluidized Bed Equations----------------------------------

Vom=((«Ás*dp*g*(rhop-rho)*«»^3)/(1.75*rho))^.5

uT=(2.32*Vom)/(«»^1.5)

ub=0.7*((g*db)^.5)

U=fb*ub+(1-fb)*Vom

------------------Heat Transfer Coefficient (ho)---------------------------
G=rho*uT

ho*dp/kf = 2.0 + 0.60*((dp*G/«¼f)^.5)*((cp*«¼f*4.186/kf)^(1/3))  

------------------Mass Transfer Coefficient (kc)---------------------------
Vca=Ma/denca

Vcb=Mb/dencb

Dab = ((0.01498*T^1.81)*(1/Ma + 1/Mb)^.5)/((P*(Tca*Tcb)^.1405)*(Vca^.4 + Vcb^.4)^2)

Sc=«¼f/(rho*Dab)

Re=rho*U*dp/«¼f

«»*jD = (0.765/Re^0.82)+(0.365/Re^0.386)

jD=(kc/ub)*Sc^(2/3)
 
  -----------------------------------------------to top of rule sheet -------------------------

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

fluidized Bed Drying Equations
V om = ( [(es)(dp)(g)(rhop-rho)(i)3] / [(1.75)(rho)] ) 0.5
 uT     = (2.32)(Vom) / (i)1.5
 ub     = (0.7) ( [(g)(dp)] )0.5 
 U        = (fb)(ub) + (1-fb)(Vom)
 

 

 
 
 
 
 
 
 
 
 
 
 

 
 
 
 definition of equation variables
    Vom      is the minimal superficial velocity for fluidization
    es          is the spericity of the particle
    dp          is the average bubble diameter
    rhop       is the density of the particle
    rho         is the density of the air
    i             is the prosity of the particle