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+//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-11, Example 1, Page 265
+//Title: Fitting Reported Mass Transfer Data with the Bubbling Bed Model
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+db=0.37;//Equilibrium bubble size in cm
+dp=0.028;//Particle size in cm
+rhos=1.06;//Density of solids in g/cc
+ephsilonmf=0.5;//Void fraction at minimum fluidization condition
+phis=0.4;//Sphericity of solids
+gammab=0.005;//Ratio of volume of dispersed solids to that of bubble phase
+rhog=1.18E-3;//Density of air in g/cc
+myu=1.8E-4;//Viscosity of gas in g/cm s
+D=0.065;//Diffusion coefficient of gas in cm^2/s
+Sc=2.35;//Schmidt number
+etad=1;//Adsorption efficiency factor
+y=1;
+umf=1.21;//Velocity at minimum fluidization condition in cm/s
+ut=69;//Terminal velocity in cm/s
+g=980;//Acceleration due to gravity in square cm/s^2
+uo=[10;20;30;40;50];//Superficial gas velocity in cm/s
+
+//CALCULATION
+n=length(uo);
+i=1;
+Rept=(dp*ut*rhog)/myu;
+Shstar=2+(0.6*(Rept^0.5)*(Sc^(1/3)));//Sherwood no. from Eqn.(1)
+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)
+ubr=0.711*(g*db)^0.5;//Rise velocity of the bubble
+while i<=n
+ x(i)=(uo(i)-umf)/(ubr*(1-ephsilonmf));//The term delta/(1-epshilonf) after simplification
+ Shbed(i)=x(i)*[(gammab*Shstar*etad)+((phis*dp^2*y)/(6*D))*Kbc];//Sherwood no. from Eqn.(11)
+ Rep(i)=(dp*uo(i)*rhog)/myu;//Reynolds of the particle
+ i=i+1;
+end
+
+//OUTPUT
+printf('\nThe desired result is the relationship between Shbed and Rep The points gives a straight line of the form y=mx+c');
+printf('\nRep');
+printf('\t\tShbed');
+i=1;
+while i<=n
+ printf('\n%f',Rep(i));
+ printf('\t%f',Shbed(i));
+ i=i+1;
+end
+plot(Rep,Shbed);
+xlabel("Rep");
+ylabel("Shbed");
+
+//====================================END OF PROGRAM ====================================================== \ No newline at end of file
diff --git a/497/CH11/EX11.1/Chap11_Ex1_R.jpg b/497/CH11/EX11.1/Chap11_Ex1_R.jpg
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+//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-11, Example 2, Page 267
+//Title: The Effect of m on Bubble-Emulsion Interchange
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+umf=0.12;//Velocity at minimum fluidization condition in cm/s
+uo=40;//Superficial gas velocity in cm/s
+ub=120;//Velocity of the bubble in cm/s
+D=0.7;//Diffusion coefficient of gas in cm^2/s
+abkbe1=1;//Bubble-emuslion interchange coefficient for non absorbing particles(m=0)
+abkbe2=18;//Bubble-emuslion interchange coefficient for highly absorbing particles(m=infinity)
+g=980;//Acceleration due to gravity in square cm/s^2
+
+//CALCULATION
+//For non absorbing particles m=0,etad=0
+Kbc=(ub/uo)*(abkbe1);
+dbguess=2;//Guess value of db
+function[fn]=solver_func(db)//Function defined for solving the system
+ fn=abkbe1-(uo/ub)*(4.5*(umf/db)+5.85*(D^0.5*g^0.25)/(db^(5/4)));//Eqn.(10.27)
+endfunction
+[d]=fsolve(dbguess,solver_func,1E-6);//Using inbuilt function fsolve for solving Eqn.(10.27) for db
+//For highly absorbing particles m=infinity, etad=1
+M=abkbe2-(uo/ub)*Kbc;
+//For intermediate condition
+alpha=100;
+m=10;
+etad=1/(1+(alpha/m));//Fitted adsorption efficiency factor from Eqn.(23)
+abkbe3=M*etad+(uo/ub)*Kbc;
+
+//OUTPUT
+mprintf('\nFor non absorbing particles:\n\tDiameter of bubble=%fcm\n\tBubble-cloud interchange coefficient=%fs^-1',d,Kbc);
+mprintf('\nFor highly absorbing partilces:\n\tM=%f',M);
+mprintf('\nFor intermediate condition:\n\tFitted adsorption efficiency factor:%f\n\tBubble-emuslion interchange coefficient:%fs^-1',etad,abkbe3);
+
+//====================================END OF PROGRAM ====================================================== \ No newline at end of file
diff --git a/497/CH11/EX11.3/Chap11_Ex3.sce b/497/CH11/EX11.3/Chap11_Ex3.sce
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+//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-11, Example 3, Page 273
+//Title: Fitting Reported Heat Transfer Data with the Bubbling Bed Model
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+rhos=1.3;//Density of solids in g/cc
+phis=0.806;//Sphericity of solids
+gammab=0.001;//Ratio of volume of dispersed solids to that of bubble phase
+rhog=1.18E-3;//Density of air in g/cc
+Pr=0.69;//Prandtl number
+myu=1.8E-4;//Viscosity of gas in g/cm s
+Cpg=1.00;//Specific heat capacity of gas in J/g K
+ephsilonmf=0.45;//Void fraction at minimum fluidization condition
+kg=2.61E-4;//Thermal concuctivity of gas in W/cm k
+dp=0.036;//Particle size in cm
+umf=6.5;//Velocity at minimum fluidization condition in cm/s
+ut=150;//Terminal velocity in cm/s
+db=0.4;//Equilibrium bubble size in cm
+etah=1;//Efficiency of heat transfer
+uo=[10;20;30;40;50];//Superficial gas velocity in cm/s
+g=980;//Acceleration due to gravity in square cm/s^2
+
+//CALCULATION
+Nustar=2+[((dp*ut*rhog)/myu)^0.5*Pr^(1/3)];//Nusselt no. from Eqn.(25)
+Hbc=4.5*(umf*rhog*Cpg/db)+5.85*((kg*rhog*Cpg)^0.5*g^0.25/db^(5/4));//Total heat interchange across the bubble-cloud boundary from Eqn.(32)
+ubr=0.711*(g*db)^0.5;//Rise velocity of the bubble from Eqn.(6.7)
+n=length(uo);
+i=1;
+while i<=n
+ x(i)=(uo(i)-umf)/(ubr*(1-ephsilonmf));//The term delta/(1-epshilonf) after simplification
+ Nubed(i)=x(i)*[gammab*Nustar*etah+(phis*dp^2/(6*kg))*Hbc];//Nusselt no. from Eqn.(36)
+ Rep(i)=(dp*uo(i)*rhog)/myu;//Reynolds of the particle
+ i=i+1;
+end
+
+//OUTPUT
+printf('\nThe desired result is the relationship between Nubed and Rep which is in the form of a straight line y=mx+c');
+printf('\nRep');
+printf('\t\tNubed');
+i=1;
+while i<=n
+ printf('\n%f',Rep(i));
+ printf('\t%f',Nubed(i));
+ i=i+1;
+end
+plot(Rep,Nubed);
+xlabel("Rep");
+ylabel("Nubed");
+
+//====================================END OF PROGRAM ====================================================== \ No newline at end of file
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+//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-11, Example 4, Page 274
+//Title: Heating a Particle in a Fluidized Bed
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+rhog=1.2;//Density of air in kg/m^3
+myu=1.8E-5;//Viscosity of gas in kg/m s
+kg=2.6E-2;//Thermal concuctivity of gas in W/m k
+dp=1E-4;//Particle size in m
+rhos=8920;//Density of solids in kg/m^3
+Cps=390;//Specific heat capacity of the solid in J/kg K
+ephsilonf=0.5;//Void fraction of the fluidized bed
+umf=0.1;//Velocity at minimum fluidization condition in m/s
+uo=0.1;//Superficial gas velocity in m/s
+pi=3.14
+
+//CALCULATION
+to=0;//Initial temperature of the bed
+T=100;//Temperature of the bed
+t=0.99*T;//Particle temperature i.e. when it approaches 1% of the bed temperature
+mp=(pi/6)*dp^3*rhos;//Mass of the particle
+A=pi*dp^2;//Surface area of the particle
+Rep=(dp*uo*rhog)/myu;//Reynold's no. of the particle
+Nubed=0.0178;//Nusselt no. from Fig.(6)
+hbed1=(Nubed*kg)/dp;//Heat transfer coefficient of the bed
+t1=(mp*Cps/(hbed1*A))*log((T-to)/(T-t));//Time needed for the particle approach 1 percentage of the bed temperature in case(a)
+hbed2=140*hbed1;//Since from Fig.(6) Nup is 140 times Nubed
+t2=(mp*Cps/(hbed2*A))*log((T-to)/(T-t));//Time needed for the particle approach 1 percentage of the bed temperature in case(b)
+
+//OUTPUT
+printf('\nCase(a):Using the whole bed coefficient from Fig.(6)');
+mprintf('\n\tTime needed for the particle approach 1 percentage of the bed temperature is %fs',t1);
+printf('\nCase(b):Uisng the single-particle coefficient of Eqn.(25),also shown in Fig.(6)');
+mprintf('\n\tTime needed for the particle approach 1 percentage of the bed temperature is %fs',t2);
+
+//====================================END OF PROGRAM ====================================================== \ No newline at end of file