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7/23/2019 Tugas Fenfer matlab
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Halaman Judul
TUGAS FENOMENA PERPINDAHAN LANJUT
Disusun untuk memenuhi mata kuliah Fenomena Perpindahan Lanjut
Dibuat oleh
Awali Sir Kautsar Harivram
210011!"1000" Dosen Pen#ampu $ Dr% Siswo Sumardiono & S'& ('%
PROGRAM MAGISTER TEKNIK KIMIA
JURUSAN TEKNIK KIMIA
UNIVERSITAS DIPONEGORO
2015
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KEMENTERIAN PENDIDIKAN NASIONAL
UNIVERSITAS DIPONEGORO
FAKULTAS TEKNIK
JURUSAN TEKNIK KIMIA
)l% Pro*% H% Soedarto& SH% Kampus 'embalan# Semaran# !02+ 'elp% ,02"-."/00!& Fa% ,02"- ."/00!!
LEMBAR PENGESAHAN
'u#as ini telah diselesaikan oleh $ Awali Sir Kautsar Harivram
(ata Kuliah $ Filsa*at dan (etodolo#i Penelitian
Semaran#& 1! ovember 201!
(en#etahui&
Dosen Pen#ampu
Dr% Siswo Sumardiono & S'& ('%
3P% 1+.!0+1! 200012 1 001%%%
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SOAL
1% 4onsider the introdu5tor6 eample&
dC A
dt
= K 1C Ae
− E
RT
dT
dt = K
2C Ae
− E
RT
7here 4A 8 1%0 #mol9L and ' 8 00K initiall6% Determine the 5on5entration and temperature
a*ter 100 se5ond with :t 8 10 se5onds i* ;9< 8 00K= K 1 8 >0%19se5= K 2 8 1%0 K9#mol>se5%
2% 4onsider the absorbtion o* A *rom a #as into li?uid *ilm @ in whi5h A rea5ts with
@a55ordin# to A+B→2C
r=kC A2
'he unstead6>state mole balan5e on A in the li?uid *ilm is #iven as
∂C A
∂T = D
AB
∂2C A
∂x2 −k C
A
2
7here$
t 8 0& 4A 8 0 8 0& 4A 8 4A0
8 L& d49d 8 0
For *ollowin# data& determine the *inal 5on5entration *ormula a*ter di5retiation i*$DA@ 8 10>2 5m29se5
L 8 0% 5m
k 8 1%0 L9#mol>se54A0 8 1 #mole9L
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)awaban$
1% Bntuk pen6elesaian soal ini bisa diselesaikan men##unakan pro#ram matlab den#an perintah
Perintah pada jendela eksekusi
clear
clc
Ca0=[1.0]; %gmol/l (kondisi aal saat t=0!
"0 =[#00]; %$ (kondisi aal saat t=0!
tspan=[010100];
[t& ']=ode)(*+entugno1,&tspan&[Ca0 "0]!
disp(-============================-!;
disp(- t Ca " -!;
disp(-============================-!;
disp(-============================-!;
+igure (1!
plot(t&'(&1!&-r-!
grid on
title (-Pro+il $onsentrasi-!
la,el(-aktu (sec!-!
la,el(-Ca (gmol/2!-!
+igure (3!
plot(t&'(&3!&-o,-!
grid on
title (-Pro+il "emperatur-!
la,el(-aktu (sec!-!
la,el(-" ($!-!
4endela 5ungsi
+unction + = +entugno1, (t& !%+ se,agai +ungsi dCa/dt dan d"/dt
a = #00; %a = 6/7
$1 = 0.1; %1/sec
$3 = 1; %$/gmolsec
Ca=(1!;
"=(3!;
+=8eros(3&1!;
+(1!=$1Caep(a/"!;
+(3!=$3Caep(a/"!;end
Ketika pro#ram di runnin# akan men#hasilkan data dan #ra*ik seba#ai berikut$
'abel 1% Hasil 'abulasi data perhitun#an
t 4A ' t 4A '
010
1%00000%/+0
00%00000%0+1+
!0/0
0%1!.0%10!
0%"/2.0%+".0
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20
0
"0
0%".!.
0%2/+
0%22"
0!%2"2
0/%.11
0.%.!.1
.0
0
+0100
0%0.21
0%0"+
0%00%021
0+%2.+1
0+%!0//
0+%//2"0+%./+0
0 10 20 30 40 50 60 70 80 90 1000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Profil Konsentrasi
waktu (sec)
C
a ( g m o l / L )
7/23/2019 Tugas Fenfer matlab
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0 10 20 30 40 50 60 70 80 90 100300
301
302
303
304
305
306
307
308
309
310Profil Temperatur
waktu (sec)
T ( K )
2% Bntuk men6elesaika persamaa de*erensial biasa PD@ den#an orde 2 bisa men##unakan
pendekatan *inite di**eren5e& beda maju& beda mundur& atau beda ten#ah% Kasus ini ju#a bisadi selesaikan den#an pendekatan metode run#e kutta% Bntuk pen6elesaian ini bisa di#unakan
perintah$
clc; clear
%datadata
9a,=0.01; k=1; C:0=0.; t=30;
dt=0.1; =0; 1=0.#; d=0.1;
<=(1!/d1; <t=(t0!/dt1;
%keadaan aal
+or i=1<
+or j=1<t
Ca1(i&j!=1;
Ca3(i&j!=1;
Ca(i&j!=0; end
end
%penelesaian <umerik dengan >etode +inite di++rence (?eda >aju!
+or i=3<
+or j=3<t1
tol=0.000001; eps1=1; eps3=1;
Ca1(i&j!=Ca1(i1&j!dt9a,(Ca1(i1&j1!3Ca1(i1&j!...
Ca1(i1&j1!!/(d@3!kC:0@3dt;
Ca3(i&j!=Ca3(i1&j!dt9a,(Ca3(i1&j1!3Ca3(i1&j!...
Ca3(i1&j1!!/(d@3!kC:0@3dt;
end
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%?oundar condition di =0
Ca1(i&1!=Ca1(i1&1!dt9a,(3Ca1(i1&3!3Ca1(i1&1!!/(d@3!...
kC:0@3dt;
Ca3(i&1!=Ca3(i1&1!dt9a,(3Ca3(i1&3!3Ca3(i1&1!!/(d@3!...
kC:0@3dt;
%?oundar conditio di (=2=0.#!
Ca1(i&<t!=Ca1(i1&<t!dt9a,(3Ca1(i1&<t1!3Ca1(i1&<t!!/(d@3!...
kC:0@3dt;Ca3(i&<t!=Ca3(i1&<t!dt9a,(3Ca3(i1&<t1!3Ca3(i1&<t!!/(d@3!...
kC:0@3dt;
end
%"a,el hasil perhitungan
disp(-==============================-!
disp(- C(g! selama ("! arah A=2 -!
disp(-==============================-!
disp(- A C: -!
disp(-==============================-!
+or i=1100<
=[0d1];%t=[0dtt]
+print+(-%10.#+%B.#+n-&&Ca1!
end
disp(-==============================-!
=[0d1];
+igure(1!
plot(&Ca1&-r-!
grid on
la,el(-4arak :ksial (!-!
la,el(-$onsentrasi Das-!
title(-D7:5E$ $F<G6<"7:GE Hs 4:7:$-!
