diff options
Diffstat (limited to '1379/CH8')
-rwxr-xr-x | 1379/CH8/EX8.1.1/example8_1.sce | 37 | ||||
-rwxr-xr-x | 1379/CH8/EX8.1.2/example8_2.sce | 29 | ||||
-rwxr-xr-x | 1379/CH8/EX8.1.3/example8_3.sce | 36 | ||||
-rwxr-xr-x | 1379/CH8/EX8.1.4/example8_4.sce | 44 | ||||
-rwxr-xr-x | 1379/CH8/EX8.1.5/example8_5.sce | 40 | ||||
-rwxr-xr-x | 1379/CH8/EX8.1.6/example8_6.sce | 33 |
6 files changed, 219 insertions, 0 deletions
diff --git a/1379/CH8/EX8.1.1/example8_1.sce b/1379/CH8/EX8.1.1/example8_1.sce new file mode 100755 index 000000000..33c3c666e --- /dev/null +++ b/1379/CH8/EX8.1.1/example8_1.sce @@ -0,0 +1,37 @@ +
+
+//exapple 8.1
+clc; funcprot(0);
+// Initialization of Variable
+//part1
+a=78/1000;//dV/dt
+rho=998;//density of water
+rhoc=2230;//density of china clay
+rhod=1324;//density of cowdung cake
+mu=1.003/1000;
+P2=3.23*1000;//pressure after 2 min.
+P5=6.53*1000;//pressure after 5 min.
+t=30*60;
+b=[P2;P5];
+A=[a^2*120 a;a^2*300 a];
+x=A\b;
+P=x(1,1)*a^2*t+x(2,1)*a;
+disp(P/1000,"pressure drop at t=30min in (kN/m^2):")
+//part2
+J=0.0278;//mass fraction
+l=1.25;
+b1=0.7;
+A1=l*b1*17*2;//area of filtering
+V=a*30*60;//volume of filterate
+e=1-rhod/rhoc;
+nu=J*rho/((1-J)*(1-e)*rhoc-J*e*rho);
+l1=nu*V/A1;
+disp(l1,"the thickness of filtercake formed after 30 min in (m):")
+//part3
+r=x(1,1)/mu/nu*A1^2;
+L=x(2,1)*A1/r/mu;
+disp(L,"thickness of cake required in (m):");
+//part 4
+S=sqrt(r*e^3/5/(1-e)^2);
+d=6/S;
+disp(d*10^6,"average particle diameter in(10^-6m):")
diff --git a/1379/CH8/EX8.1.2/example8_2.sce b/1379/CH8/EX8.1.2/example8_2.sce new file mode 100755 index 000000000..a3e2eb116 --- /dev/null +++ b/1379/CH8/EX8.1.2/example8_2.sce @@ -0,0 +1,29 @@ +
+
+//exapple 8.2
+clc; funcprot(0);
+// Initialization of Variable
+P1=5.34*1000;//pressure after 3 min.
+P2=9.31*1000;//pressure after 8 min.
+a=240/1000000;//dV/dt
+P3=15*10^3;//final pressure
+//calculation
+b=[P1;P2];
+A=[a^2*180 a;a^2*480 a];
+x=A\b;
+//part1
+t=(P3-x(2,1)*a)/x(1,1)/a^2;
+disp(t,"time at which the required pressure drop have taken place in (s):");
+//part 2
+V1=a*t;
+disp(V1,"volume of filterate in (m^3):");
+//part 3
+V2=0.75;
+t2=t+x(1,1)/2/P3*(V2^2-V1^2)+x(2,1)/P3*(V2-V1);
+disp(t2,"the time required to collect 750dm^3 of filterate in (s):");
+//part 4
+P4=12*10^3;
+a=P4/(x(1,1)*V2+x(2,1));
+t=10/1000/a;
+disp(t,"time required to pass 10dm^3 volume in (s):")
+
diff --git a/1379/CH8/EX8.1.3/example8_3.sce b/1379/CH8/EX8.1.3/example8_3.sce new file mode 100755 index 000000000..cfe171c20 --- /dev/null +++ b/1379/CH8/EX8.1.3/example8_3.sce @@ -0,0 +1,36 @@ +
+
+//exapple 8.3
+clc; funcprot(0);
+// Initialization of Variable
+a=16/1000;//dV/dt
+J=0.0876;//mass fraction
+rho=999;//density of water
+rhoc=3470;//density of slurry
+mu=1.12/1000;
+rhos=1922;//density of dry filter cake
+t1=3*60;
+t2=8*60;
+V1=33.8/1000;//volume at t1
+V2=33.8/1000+23.25/1000;//volume at t2
+P=12*1000;//pressure difference
+Ap=70^2/10000*2*9;
+As=650/10000;
+//calculation
+b=[t1;t2]
+A=[V1^2/2/P V1/P;V2^2/2/P V2/P];
+x=A\b;
+K1p=x(1,1)*As^2/Ap^2;
+K2p=x(2,1)*As/Ap;
+P2=15*1000;//final pressure drop
+t=(P2-K2p*a)/K1p/a^2;//time for filterate
+V=a*t;//volume of filterate
+e=1-rhos/rhoc;
+nu=J*rho/((1-J)*(1-e)*rhoc-J*e*rho);
+l=(11-1)/200;
+Vf=Ap*l/nu;
+tf=t+K1p/2/P2*(Vf^2-V^2)+K2p/P2*(Vf-V);
+r=K1p/mu/nu*Ap^2;
+L=K2p*Ap/r/mu;
+disp(L,"the thickness of filter which has resistance equal to resistance of filter medium in (m):")
+
diff --git a/1379/CH8/EX8.1.4/example8_4.sce b/1379/CH8/EX8.1.4/example8_4.sce new file mode 100755 index 000000000..05edf1a12 --- /dev/null +++ b/1379/CH8/EX8.1.4/example8_4.sce @@ -0,0 +1,44 @@ +
+
+//exapple 8.4
+clc; funcprot(0);
+// Initialization of Variable
+t1=3*60;//time 3min
+t2=12*60;//time 12min
+t3=5*60;//time 5min
+P=45*1000;//pressure at t1&t2
+P2=85*1000;//pres. at t3
+a=1.86;//area
+mu=1.29/1000;
+c=11.8;
+V1=5.21/1000;//volume at t1
+V2=17.84/1000;//volume at t2
+V3=10.57/1000;//volume at t3
+//calculation
+b=[t1;t2];
+A=[mu*c/2/a^2/P*V1^2 V1/P;mu*c/2/a^2/P*V2^2 V2/P];
+x=A\b;
+r45=x(1,1);
+r85=(t3-x(2,1)*V3/P2)*2*a^2*P2/V3^2/mu/c;
+n=log(r45/r85)/log(45/85);
+rbar=r45/(1-n)/(45*1000)^n;
+r78=rbar*(1-n)*(78*1000)^n;
+//part1
+//polynomial in V as a1x^2+bx+c1=0
+c1=90*60;//time at 90
+Pt=78*1000;//Pt=pressure at time t=90
+r78=round(r78/10^12)*10^12;
+a1=r78*mu/a^2/Pt*c/2;
+b=x(2,1)/Pt;
+y=poly([-c1 b a1],'V1','coeff');
+V1=roots(y);
+disp(V1(2),"Volume at P=90kPa in (m^3):");
+//part2
+Pt=45*1000;
+c1=90*60;
+a1=r45*mu/a^2/Pt*c/2;
+b=x(2,1)/Pt;
+y=poly([-c1 b a1],'V1','coeff');
+V1=roots(y);
+disp(V1(2),"Volume at p=45kPa in (m^3):");
+
diff --git a/1379/CH8/EX8.1.5/example8_5.sce b/1379/CH8/EX8.1.5/example8_5.sce new file mode 100755 index 000000000..1ea6d5392 --- /dev/null +++ b/1379/CH8/EX8.1.5/example8_5.sce @@ -0,0 +1,40 @@ +
+
+//exapple 8.4
+clc; funcprot(0);
+// Initialization of Variable
+t=60*0.3/0.5;//time of 1 revollution
+d=34/1000000;
+S=6/d;
+e=0.415;
+J=0.154;
+P=34.8*1000;
+mu=1.17/1000;
+L=2.35/1000;
+rho=999;//density of water
+rhos=4430;//density of barium carbonate
+//calculation
+//part1
+nu=J*rho/((1-J)*(1-e)*rhos-J*e*rho);
+r=5*S^2*(1-e)^2/e^3;
+//quadratic in l
+//in the form of ax^2+bx+c=0
+c=-t;
+b=r*mu*L/nu/P;
+a=r*mu/2/nu/P;
+y=poly([c b a],'l','coeff');
+l=roots(y);
+disp(l(2),"thickness of filter cake in (m):");
+//part2
+d=1.2;
+l1=2.6;
+pi=3.1428;
+u=pi*d*0.5/60;
+Q=u*l1*l(2);
+mnet=Q*(1-e)*rhos+Q*e*rho;
+disp(mnet,"rate at which wet cake will be scrapped in (kg/s):");
+//part3
+md=Q*(1-e)*rhos;//rate at which solid scrapped from the drum
+r=md/0.154;
+disp(r*3600,"rate of which slurry is treated is (kg/h):")
+
diff --git a/1379/CH8/EX8.1.6/example8_6.sce b/1379/CH8/EX8.1.6/example8_6.sce new file mode 100755 index 000000000..3d516fdd9 --- /dev/null +++ b/1379/CH8/EX8.1.6/example8_6.sce @@ -0,0 +1,33 @@ +
+
+//exapple 8.6
+clc; funcprot(0);
+// Initialization of Variable
+mu=0.224;
+rho=1328;
+K=5;
+b=3*.5;//radius
+h=2.5;
+pi=3.1428;
+x=2.1*.5;
+rhos=1581;//density of sucrose
+e=0.435;//void ratio
+J=0.097;//mass fraction
+m=3500;//mass flowing
+a=85/10^6;//side length
+L=48/1000;//thickness
+omega=2*pi*325/60;
+//calculation
+bi=b^2-m/pi/h/(1-e)/rhos;//inner radius
+bi=sqrt(bi);
+bi=round(bi*1000)/1000;
+nu=J*rho/((1-J)*(1-e)*rhos-J*e*rho);
+S=6/a;
+r=5*S^2*(1-e)^2/e^3;
+t=((b^2-bi^2)*(1+2*L/b)+2*bi^2*log(bi/b))/(2*nu*rho*omega^2/r/mu*(b^2-x^2));
+disp(t,"time taken to collect sucrose crystal in (s):");
+//part2
+vl=pi*(b^2-bi^2)*h*e;
+vs=pi*(b^2-bi^2)*h/nu-vl;
+disp(vs,"volume of liquid separated as filterate i (m^3):");
+
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