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author | priyanka | 2015-06-24 15:03:17 +0530 |
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committer | priyanka | 2015-06-24 15:03:17 +0530 |
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tree | ab291cffc65280e58ac82470ba63fbcca7805165 /497/CH16 | |
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-rwxr-xr-x | 497/CH16/EX16.1/Chap16_Ex1.sce | 41 | ||||
-rwxr-xr-x | 497/CH16/EX16.2/Chap16_Ex2.sce | 78 | ||||
-rwxr-xr-x | 497/CH16/EX16.3/Chap16_Ex3.sce | 29 | ||||
-rwxr-xr-x | 497/CH16/EX16.4/Chap16_Ex4.sce | 62 | ||||
-rwxr-xr-x | 497/CH16/EX16.5/Chap16_Ex5.sce | 82 |
5 files changed, 292 insertions, 0 deletions
diff --git a/497/CH16/EX16.1/Chap16_Ex1.sce b/497/CH16/EX16.1/Chap16_Ex1.sce new file mode 100755 index 000000000..95a99c61c --- /dev/null +++ b/497/CH16/EX16.1/Chap16_Ex1.sce @@ -0,0 +1,41 @@ +//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-16, Example 1, Page 404
+//Title: Single-Stage Limestone Calciner
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+T=1000;//Operating temperature of calciner in degree celcius
+deltaHr=1795;//Heat of reaction in kJ/kg
+M1=0.1;//Molecular weight of Calcium carbonate in kg/mol
+M2=0.056;//Molecular weight of CaO in kg/mol
+M3=0.044;//Molecular weight of Carbon dioxide in kg/mol
+M4=0.029;//Molecular weight of Air in kg/mol
+M5=0.029;//Molecular weight of Combustion gas in kg/mol
+Cp1=1.13;//Specific heat of Calcium carbonate in kJ/kg K
+Cp2=0.88;//Specific heat of CaO in kJ/kg K
+Cp3=1.13;//Specific heat of Carbon dioxide in kJ/kg K
+Cp4=1.00;//Specific heat of Air in kJ/kg K
+Cp5=1.13;//Specific heat of Calcium carbonate in kJ/kg K
+Tf=20;//Temperature of feed in degree celcius
+ma=15;//Air required per kg of fuel in kg
+Hc=41800;//Net combustion heat of fuel in kJ/kg
+Tpi=20;//Initial temperature of solids in degree C
+Tgi=1000;//Initial temperature of gas in degree C
+
+//CALCULATION
+mc=1;//Based on 1 kg of Calcium carbonate
+B=(1/(Hc-(ma+mc)*Cp5*(T-Tpi)))*[M3*Cp3*(T-Tf)+M2*Cp2*(T-Tf)+deltaHr]//Fuel consumption(kg fuel/kg calcium carbonate)
+B1=B*M3/M2;//Fuel consumption(kg fuel/kg Cao)
+H=Hc*B1;//Heat required for calcination
+eta=deltaHr/(B*Hc);//Thermal efficiency
+
+//OUTPUT
+mprintf('\nFuel consumption:%f kg fuel/kg Cao',B1);
+mprintf('\nHeat requirement for calcination:%f kJ/kg Cao',H);
+mprintf('\nThermal efficiency:%f percentage',eta*100);
+
+//====================================END OF PROGRAM ======================================================
\ No newline at end of file diff --git a/497/CH16/EX16.2/Chap16_Ex2.sce b/497/CH16/EX16.2/Chap16_Ex2.sce new file mode 100755 index 000000000..c8a5c8864 --- /dev/null +++ b/497/CH16/EX16.2/Chap16_Ex2.sce @@ -0,0 +1,78 @@ +//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-16, Example 2, Page 405
+//Title: Multistage Limestone Calciner
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+F=400;//Feed rate of Calcium carbonate in tons/day
+T=1000;//Operating temperature of calciner in degree celcius
+deltaHr=1795;//Heat of reaction in kJ/kg
+M1=0.1;//Molecular weight of Calcium carbonate in kg/mol
+M2=0.056;//Molecular weight of CaO in kg/mol
+M3=0.044;//Molecular weight of Carbon dioxide in kg/mol
+M4=0.029;//Molecular weight of Air in kg/mol
+M5=0.029;//Molecular weight of Combustion gas in kg/mol
+Cp1=1.13;//Specific heat of Calcium carbonate in kJ/kg K
+Cp2=0.88;//Specific heat of CaO in kJ/kg K
+Cp3=1.13;//Specific heat of Carbon dioxide in kJ/kg K
+Cp4=1.00;//Specific heat of Air in kJ/kg K
+Cp5=1.17;//Specific heat of Combustion gas in kJ/kg K
+Tf=20;//Temperature of feed in degree celcius
+ma=15;//Air required per kg of fuel in kg
+uo=0.8;//Superficial gas velocity in m/s
+Hc=41800;//Net combustion heat of fuel in kJ/kg
+Tpi=20;//Initial temperature of solids in degree C
+Tgi=1000;//Initial temperature of gas in degree C
+rhoa=1.293;//Density of air in kg/m^3
+pi=3.14;
+
+//CALCULATION
+mc=1;//Based on 1 kg of Calcium carbonate
+Bguess=2;//Guess value of B
+function[fn]=solver_func(B)//Function defined for solving the system
+ phi=((ma+mc)*Cp5*B+(M3*Cp3))/Cp1;
+ T3=(Tpi+(phi+phi^2+phi^3)*Tgi)/(1+phi+phi^2+phi^3);
+ phiplus=30.6*B
+ Tr=(T+Tpi*phiplus)/(1+phiplus);
+ fn=Hc*B+Cp3*(T3-Tpi)+ma*B*Cp4*(Tr-20)-(ma+mc)*Cp5*(T-Tpi)-M3*Cp3*(T-Tpi)-M2*Cp2*(T-Tpi)-deltaHr;
+ //fn=(1/20800)*(2470-T3-13.34*(Tr-20));
+endfunction
+[B]=fsolve(Bguess,solver_func,1E-6);//Using inbuilt function fsolve for solving Eqn.(23) for tou
+phi=((ma+mc)*Cp5*B+(M3*Cp3))/Cp1;
+//Temperature of various stages
+T1=(Tpi+(phi)*Tgi)/(1+phi);
+T2=(Tpi+(phi+phi^2)*Tgi)/(1+phi+phi^2);
+T3=(Tpi+(phi+phi^2+phi^3)*Tgi)/(1+phi+phi^2+phi^3);
+phiplus=30.6*B
+Tr=(T+Tpi*phiplus)/(1+phiplus);
+eta=deltaHr/(B*Hc);//Thermal efficiency
+H=B*Hc/M2;//Heat requirement
+//For lower heat recovery section
+Ql=(F*10^3/(24*3600))*B*ma/(rhoa*(273/(Tr+273)));//Volumetric flow rate of gas in the lower heat recovery section
+dtl=sqrt(4/pi*Ql/uo);//Diameter of lower bed
+//For calcination section
+Qc=(F*10^3/(24*3600))*B*ma/(rhoa*(273/(T+273)));//Volumetric flow rate of gas in the calcination section
+dtc=sqrt(4/pi*Qc/uo);//Diameter of calcination section
+//For I stage
+Q1=(F*10^3/(24*3600))*B*ma/(rhoa*(273/(T1+273)));//Volumetric flow rate of gas in the I stage
+dt1=sqrt(4/pi*Q1/uo);//Diameter of I stage
+//For II stage
+Q2=(F*10^3/(24*3600))*B*ma/(rhoa*(273/(T2+273)));//Volumetric flow rate of gas in the II stage
+dt2=sqrt(4/pi*Q2/uo);//Diameter of II stage
+//For III stage
+Q3=(F*10^3/(24*3600))*B*ma/(rhoa*(273/(T3+273)));//Volumetric flow rate of gas in the III stage
+dt3=sqrt(4/pi*Q3/uo);//Diameter of III stage
+
+//OUTPUT
+printf('\nDiameter of lower bed:%fm',dtl);
+printf('\nDiameter of calcination section:%fm',dtc);
+printf('\nBed no.\t\t1\t2\t\t3');
+printf('\nDiameter(m)%f\t%f\t%f',dt1,dt2,dt3);
+
+//The value of diameter of each section is largely deviating from the values in the textbook. This is because the fuel consumption B have not been included in the energy balance equation. And the value of molecular weight is wrong by one decimal point.
+
+//====================================END OF PROGRAM ======================================================
\ No newline at end of file diff --git a/497/CH16/EX16.3/Chap16_Ex3.sce b/497/CH16/EX16.3/Chap16_Ex3.sce new file mode 100755 index 000000000..402fe4068 --- /dev/null +++ b/497/CH16/EX16.3/Chap16_Ex3.sce @@ -0,0 +1,29 @@ +//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-16, Example 3, Page 413
+//Title: Multistage Adsorber
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+T=20;//Temeprature in degree C
+M=0.018;//Molecular weight of water in kg/mol
+Q=10;//Flow rate of dry air in m^3/s
+R=82.06E-6;//Universal gas constant
+pi=0.0001;//Initial moisture content in atm
+pj=0.01;//Final moisture content in atm
+
+//CALCULATION
+a=Q*(273+T)/273;//Term At*uo
+b=a*M/(R*(T+273));//Term C*At*uo
+//The value of slope can be found only by graphical mehtod. Hence it has been taken directly from the book(Page no.414,Fig.E3)
+m=10.2;
+Fo=b/m;//Flow rate of solids
+Q3=(b/Fo)*(pj-pi);//Moisture content of leaving solids
+
+//OUTPUT
+printf('\nMoisture content of leaving solids:%f kg H2O/kg dry solids',Q3);
+
+//====================================END OF PROGRAM ======================================================
\ No newline at end of file diff --git a/497/CH16/EX16.4/Chap16_Ex4.sce b/497/CH16/EX16.4/Chap16_Ex4.sce new file mode 100755 index 000000000..ff285781b --- /dev/null +++ b/497/CH16/EX16.4/Chap16_Ex4.sce @@ -0,0 +1,62 @@ +//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-16, Example 4, Page 422
+//Title: Dryer Kinetics and Scale-up
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+Qfi=0.20;//Initial moisture fraction
+Qfbar=0.04;//Average final moisture fraction
+rhos=2000;//Density of solid in kg/m^3
+Cps=0.84;//Specific heat of solids in kJ/kg K
+Fo=7.6E-4;//Flow rate of solids in kg/m^3
+Tsi=20;//Inital temperature of solids in degree C
+rhog=1;//Density of gas in kg/m^3
+Cpg=1;//Specific heat of gas in kJ/kg K
+uo=0.3;//Superficial gas velocity in m/s
+Tgi=200;//Initial temperature of gas in degee C
+L=2370;//Enthalpy of liquid in kJ/kg
+Cpl=4.2;//Specific heat of liquid in kJ/kg K
+dt=0.1;//Diameter of reactor in m
+Lm=0.1;//Length of fixed bed in m
+ephsilonm=0.45;//Void fraction of fixed bed
+pi=3.14;
+Fo1=1;//Feed rate for commercial-scale reactor in kg/s
+
+//CALCULATION
+//(a)Bed temperature
+Teguess=50;//Guess value of Te
+function[fn]=solver_func(Te)//Function defined for solving the system
+ fn=(pi/4)*dt^2*uo*rhog*Cpg*(Tgi-Te)-Fo*(Qfi-Qfbar)*[L+Cpl*(Te-Tsi)]-Fo*Cps*(Te-Tsi);
+endfunction
+[Te]=fsolve(Teguess,solver_func,1E-6);//Using inbuilt function fsolve for solving Eqn.(53) for Te
+
+//(b)Drying time for a particle
+xguess=2;//Guess value of x, ie term tou/tbar
+function[fn]=solver_func1(x)//Function defined for solving the system
+ fn=1-(Qfbar/Qfi)-(1-exp(-x))/x;
+endfunction
+[x]=fsolve(xguess,solver_func1,1E-6);//Using inbuilt function fsolve for solving Eqn.(61) for x
+W=(pi/4)*dt^2*Lm*(1-ephsilonm)*rhos;//Weight of soilds in bed
+tbar=W/Fo;//Mean residence time of solids from Eqn.(59)
+tou=tbar*x;//Time for complete drying of a particle
+
+//(c)Commercial-scale dryer
+W1=Fo1*tbar;
+Atguess=5;//Guess value of area
+function[fn]=solver_func3(At)//Function defined for solving the system
+ fn=At*uo*rhog*Cpg*(Tgi-Te)-Fo1*(Qfi-Qfbar)*[L+Cpl*(Te-Tsi)]-Fo1*Cps*(Te-Tsi);
+endfunction
+[At]=fsolve(Atguess,solver_func3,1E-6);//Using inbuilt function fsolve for solving Eqn.(53) for At
+dt1=sqrt(4/pi*At);//Diameter of commercial-scale dryer
+Q1=At*uo*rhog;//Flow rate necessary for the operation
+
+//OUTPUT
+printf('\nBed temperature:%f degree C',Te);
+printf('\nTime for complete drying of particle:%fs',tou);
+printf('\nFlow rate of gas necessary for Commercial-scale dryer:%fkg/s',Q1);
+
+//====================================END OF PROGRAM ======================================================
\ No newline at end of file diff --git a/497/CH16/EX16.5/Chap16_Ex5.sce b/497/CH16/EX16.5/Chap16_Ex5.sce new file mode 100755 index 000000000..19b0b730b --- /dev/null +++ b/497/CH16/EX16.5/Chap16_Ex5.sce @@ -0,0 +1,82 @@ +//Kunii D., Levenspiel O., 1991. Fluidization Engineering(II Edition). Butterworth-Heinemann, MA, pp 491
+
+//Chapter-16, Example 5, Page 425
+//Title: Solvent Recovery from Polymer Particles
+//==========================================================================================================
+
+clear
+clc
+
+//INPUT
+rhos=1600;//Density of solid in kg/m^3
+Cps=1.25;//Specific heat of solids in kJ/kg K
+Fo=0.5;//Flow rate of solids in kg/s
+Tsi=20;//Inital temperature of solids in degree C
+Qwi=1;//Initial moisture fraction in water
+Qwf=0.2;//Final moisture fraction in water
+Qhi=1.1;//Initial moisture fraction in heptane
+Qhf=0.1;//Final moisture fraction in heptane
+Tgi=240;//Initial temperature of gas in degee C
+Te=110;//Bed temperature in degree C
+ephsilonm=0.45;//Void fraction of fixed bed
+ephsilonf=0.75;//Void fraction of fluidized bed
+uo=0.6;//Superficial gas velocity in m/s
+di=0.08;//Diameter of tubes in m
+li=0.2;//Pitch for square arrangement
+hw=400;//Heat transfer coefficient in W/m^2 K
+Tc=238;//Temperature at which steam condenses in degree C
+//Specific heats in kJ/kg K
+Cwl=4.18;//Water liquid
+Cwv=1.92;//Water vapor
+Chl=2.05;//Heptane liquid
+Chv=1.67;//Heptane vapor
+//Latent heat of vaporization in kJ/kg
+Lw=2260;//Water
+Lh=326;//Heptane
+//Density of vapor in kg/m^3 at operating conditions
+rhow=0.56;//Water
+rhoh=3.1;//Heptane
+Lf=1.5;//Length of fixed bed in m
+t=140;//Half-life of heptane in s
+L=1.5;//Length of tubes in heat exchanger
+pi=3.14;
+
+//CALCULATION
+//(a) Dryer without Internals
+xw=(Qwi-Qwf)/(Qhi-Qhf);//Water-heptane weight ratio
+xv=((Qwi-Qwf)/18)/((Qhi-Qhf)/100);//Water-heptane volume ratio
+T=(Qwi-Qwf)/18+(Qhi-Qhf)/100;//Total volume
+rhogbar=((Qwi-Qwf)/18)/T*rhow+((Qhi-Qhf)/100)/T*rhoh;//Mean density of the vapor mixture
+Cpgbar=(((Qwi-Qwf)/18)/T)*rhow*Cwv+(((Qhi-Qhf)/100)/T)*rhoh*Cwv;//Mean specific heat of vapor mixture
+//Volumetric flow of recycle gas to the dryer in m^3/s from Eqn.(53)
+x=(Cpgbar*(Tgi-Te))^-1*[Fo*(Qwi-Qwf)*[Lw+Cwl*(Te-Tsi)]+Fo*(Qhi-Qhf)*[Lh+Chl*(Te-Tsi)]+Fo*(Cps*(Te-Tsi))];
+r=Fo*[(Qwi-Qwf)/rhow+(Qhi-Qhf)/rhoh};//Rate of formation of vapor in bed
+uo1=uo*(x/(x+r));//Superficial velocity just above the distributor
+At=x/uo1;//Cross-sectional area of bed
+dt=sqrt(4/pi*At);//Diameter of bed
+B=-log(Qwf/Qwi)/t;//Bed height from Eqn.(63)
+tbar=((Qhi/Qhf)-1)/B;//Mean residence time of solids
+W=Fo*tbar;//Weight of bed
+Lm=W/(At*(1-ephsilonm)*rhos);//Static bed height
+Lf=(Lm*(1-ephsilonm))/(1-ephsilonf);//Height of fluidized bed
+
+//(b) Dryer with internal heaters
+f=1/8;//Flow rate is 1/8th the flow rate of recirculation gas as in part (a)
+x1=f*x;//Volumetric flow of recycle gas to the dryer in m^3/s from Eqn.(53)
+uo2=uo*(x1/(x1+r));//Superficial velocity just above the distributor
+Abed=x1/uo2;//Cross-sectional area of bed
+q=[Fo*(Qwi-Qwf)*[Lw+Cwl*(Te-Tsi)]+Fo*(Qhi-Qhf)*[Lh+Chl*(Te-Tsi)]+Fo*(Cps*(Te-Tsi))]-Abed*uo2*Cpgbar*(Tgi-Te);//Heat to be added from energy balance of Eqn.(53)
+Aw=q*10^3/(hw*(Tc-Te));//Total surface area of heat exchanger tubes
+Lt=Aw/(pi*di);//Total length of tubes
+Nt=Lt/L;//Total number of tubes
+Atubes=Nt*(pi/4*di^2);//Total cross-sectional area of tubes
+Atotal=Abed+Atubes;//Total cross-sectional area of tube filled dryer
+d=sqrt(Atotal*pi/4);//Diameter of vessel
+li=sqrt(Atotal/Nt);//Pitch for square array of tubes
+
+//OUTPUT
+printf('\n\t\t\tBed diameter(m)\tRecycle vapor flow(m^3/s)');
+printf('\nWithout internal heater\t%f\t%f',dt,x);
+printf('\nWith heating tubes\t%f\t%f',d,x1);
+
+//====================================END OF PROGRAM ======================================================
\ No newline at end of file |