M phng & ti u ha

M phng & ti u haGVHD: Hong Hi HI HC QUC GIA THNH PH H CH MINHTRNG I HC BCH KHOA KHOA K THUT HA HCB MN QU TRNH & THIT BTn thnh vin nhm Bi Th Vn 61104179 Kiu Phi Quc 61192791 Nguyn V Quang Thng 61103285 Nguyn Vn Thanh 61103142 Nguyn Yn Linh 61101848 ng Duy Tn Nguyn Hoi Nhn Nguyn Ngc Luyn 61101989 Nguyn Trang Tn Ph 61102580Lu Vit Tin 61103590MC CH BI THUYT TRNHM phng, gii quyt cc bi ton trong cng ngh ha hc. C th:M hnh ha, ri rc ha qu trnh di chuyn vt cht trong bnh phn ng ng bng phng trnh vi phn o hm ring PED dng phng php sai phn hu hn nhn c mt h ODE.Tm nghim s ca h ODE ny.Biu din dng iu ca nghim.Kt lun v nh hng ca s im nt chn trn cc nghim s.

Trng hp t ra 4Bi ton c thXt li trng hp cht lng chy qua ng nh trng hp bi tp 2 vi phn ng ha hc bc 1 A -> B. Khi n v vt cht di chuyn dc chiu di ca bnh phn ng, nng ca cht phn ng A gim v A b tiu th. B qua s thay i ca cc i lng ny theo phng bn knhBi ton c th7Bi ton c thBi ton c th9Trnh t tin hnh1. M HNH HA13M HNH HA15M HNH HA2. M HNH TON3. TM NGHIM S BNG MATLABsyms x realN=30; %so diem roi racoptions = odeset('RelTol',1e-4,'AbsTol',1e-4);L=1; %chieu dai ong (m)h=L/N; %buoc roi rac (m)CA_init=zeros(1,N);for i=1:N CA_init(i)=1-i*h/L;end CA_init; [T,Y] = ode45(@rigid,[0 50],CA_init,options);plot(T,Y);grid;hold on

%% ve do thi bien thien CA0 v CALy1=1-exp(-x)*sin(pi*x); %do thi CA0y2=0.87*x/50;s=linspace(0,50); Y1=subs(y1,x,s);Y2=subs(y2,x,s); hold on plot(s,Y1,'r',s,Y2)xlabel('Thoi gian, t (s)');ylabel('Nong do, CA (kmol/m^3)');

function dy = rigid(t,y)N=100; %so diem roi racv=0.02; %van toc dong chat long (m/s)L=1; %chieu dai ong (m)DA=0.0005; %he so khuech tan (m2/s)k=0.0007; %hang so phan ung (1/s)h=L/N; %buoc roi rac (m)m=-v/(2*h)+DA/h^2;n=-k-2*DA/h^2;p=v/(2*h)+DA/h^2;B=zeros(N,1);C=zeros(N,1);

%tao ma tran AA=n*eye(N);for i=1:N-1 A(i,i+1)=m;endfor i=2:N A(i,i-1)=p;end%% dieu kien bienCA0=1-exp(-t)*sin(pi*t); %don vi la kmol/m^3CAL=0.87*t/50;B(1)=CA0;C(N)=CALdy=A*y+p.*B+m.*C;

4. BIU DIN NGHIM

TI LIU THAM KHO1.Process Modeling Simulation and Control for Chemical Engineers.