From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 542/CH7/EX7.1/Example_7_1.sci | 63 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 63 insertions(+) create mode 100755 542/CH7/EX7.1/Example_7_1.sci (limited to '542/CH7/EX7.1/Example_7_1.sci') diff --git a/542/CH7/EX7.1/Example_7_1.sci b/542/CH7/EX7.1/Example_7_1.sci new file mode 100755 index 000000000..7ce893d09 --- /dev/null +++ b/542/CH7/EX7.1/Example_7_1.sci @@ -0,0 +1,63 @@ +clear; +clc; +printf("\n Example 7.1"); +//In the leaf filter filtration is at const pressure from the start +//V^2 + 2ALV/v = 2(-deltaP)A^2t/(ruv) + +//In the filter press,a volume V1 of filtrate is obtained under const rate conditions in time t1,and filtration is then carried out at constant pressure. +//V1^2 + 2ALV1/v = 2(-deltaP)A^2t1/(ruv) +//and (V^2 − V1^2 ) + 2AL/υ(V − V1) = 2(−P)A^2/rμυ(t − t1) + +//for the leaf filter +t2 = 300; //t2 is in secs +V2 = 2.5*10^(-4); //V2 is in m^3 +t3 = 600; //t3 is in secs +V3 = 4*10^(-4); //V3 is in m^3 +A = 0.05; //A is in m^2 +deltaP = -7.13*10^(4); //it is in N/m^2 +//putting these values in above eq + +a = [2*7.13*10^(4)*0.05^(2)*300 -2*0.05*2.5*10^(-4);2*7.13*10^(4)*0.05^(2)*600 -2*0.05*4*10^(-4)]; +b = [(2.5*10^(-4))^2;(4*10^(-4))^2]; +x = inv(a)*b; +y = [1/x(1);x(2)]; +printf("\n L/υ=%f*10^(-3) and rμυ = %f*10^(11)",y(2)*10^3,y(1)*10^(-11)); + +//for the filter press +V1 = poly([0],'V1'); +s = roots(V1^2 + (2.16*y(2)*V1)-(4*10^(5)*2.16^2)/y(1)*180); +printf("\n the value of V1 = %fm^3",s(2)); + +//For a constant pressure period (t - t1)=900secs +//Calculting the total volume of filtrate +V = poly([0],'V'); +d = roots((V^2-3.33*10^(-4))+(1.512*10^(-2)*(V-1.825*10^(-2))-5.235*10^(-6)*900)); +printf("\n The value of V = %.3f m^3",d(2)); + +f = (4*10^(5)*(2.16)^2)/(7.13*10^(11)*(6.15*10^(-2) + 2.16*3.5*10^(-3))); +printf("\n The final rate of filtration is %.2f*10^(-5) m^3/sec",f*10^(5)); + +// Assuming viscosity of the filtrate is the same as that of the wash-water +rw_400 = (0.25)*f; +printf("\n Rate of washing at 400 kN/m2 = %.1f*10^(-6) m^3/sec",rw_400*10^(6)); + +rw_275 = rw_400*(275/400); +printf("\n Rate of washing at 275 kN/m^2 = %.1f*10^(-6) m^3/sec",rw_275*10^6); +printf("\n Thus the amount of wash-water passing in 600s = %.3f m^3",600*rw_275); + + + + + + + + + + + + + + + + + -- cgit