c_c++pgms
TRANSCRIPT
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1. Program for RK- IV order differential equation
#include <stdio.h>
#include <math.h>#define N 2 /* number of first order equations */
#define dist 0.1 /* stepsize in t*/
#define MAX 50.0 /* max for t */
FILE *output; /* internal filename */
main(){
double t, y[N];
int j;void runge4(double x, double y[], double step); /* Runge-Kutta function */
double f(double x, double y[], int i); /* function for derivatives */
output=fopen("osc.dat", "w"); /* external filename */y[0]=1.0; /* initial position */
y[1]=0.0; /* initial velocity */
fprintf(output, "0\t%f\n", y[0]);
for (j=1; j*dist<=MAX ;j++) /* time loop */
{
t =j*dist;runge4(t, y, dist);
fprintf(output, "%f\t%f\n", t, y[0]);
}fclose(output);
}
double f(double x, double y[], int i){
if (i==0) return(y[1]); /* derivative of first equation */if (i==1) return(-0.2*y[1]-y[0]); /* derivative of second equation */
}void runge4(double x, double y[], double step)
{
double h=step/2.0, /* the midpoint */t1[N], t2[N], t3[N], /* temporary storage arrays */
k1[N], k2[N], k3[N],k4[N]; /* for Runge-Kutta */
int i;for (i=0;i<N;i++) t1[i]=y[i]+0.5*(k1[i]=step*f(x, y, i));
for (i=0;i<N;i++) t2[i]=y[i]+0.5*(k2[i]=step*f(x+h, t1, i));
for (i=0;i<N;i++) t3[i]=y[i]+ (k3[i]=step*f(x+h, t2, i));for (i=0;i<N;i++) k4[i]=step*f(x+step, t3, i);for (i=0;i<N;i++) y[i]+=(k1[i]+2*k2[i]+2*k3[i]+k4[i])/6.0;
}
2. Runge-Kutta II Order Solution to the nearest approximation for the problem
#include<stdio.h>#include<conio.h>
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#include<conio.h>#include<math.h>
void main()
{float biom1, biom2, sub1, sub2, time, mu,tdouble,yield;
clrscr();
printf("Pgm for finding Sp. Gr. Rate, Doubling Time & Yield Coefficient.");printf("\nEnter the initial and final biomass concn (g/l).\n\n");
scanf("%f%f",&biom1,&biom2);
printf("\nEnter the initial and final substrate concn (g/l).\n\n");
scanf("%f%f", &sub1,&sub2);printf("\nEnter the time period of fermentation (min).\n\n");
scanf("%f", &time);
mu = log(biom2/biom1)/time;tdouble = log(2)/mu;
yield = (biom2 - biom1)/(sub1 - sub2);
printf("\nSp. Gr. Rate = %f/ min.\n",mu);printf("\nDoubling Time = %f min.\n", tdouble);
printf("\nYield Coefficient = %f\n", yield);
getch();
}
PROGRAM TO FIND THE OPTIMUM TEMPERATURE AND PH FOR MAXIMUM ENZYME
ACTIVITY
#include<iostream.h>
#include<stdio.h>#include<conio.h>
class enzyme{
public:float Var[50], Act[50];
int n; public:
void SetArrayLength(int x);
void ArrayInput();int CompareData();
};
void enzyme::SetArrayLength(int x)
{
n = x;}
void enzyme::ArrayInput()
{for (int i= 0; i < n; i++) cin>> Var[i] >>Act[i];
}
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int enzyme::CompareData()
{
int j; float big;big = Act[0]; j = 0;
for (int k = 0; k < n; k++)
if (Act[k] > big){
big = Act[k];
j = k;
}return(j);
}
PROGRAM TO FIND THE OPTIMUM TEMPERATURE AND PH FOR MAXIMUM ENZYME
ACTIVITY
void main()
{
enzyme E1,E2;
int len,p1, p2;clrscr();
cout<<"Program to find the Optimum Temperature and pH for maximum enzyme activity\n";
cout<<"\nEnter the no. of Temperature - Activity datasets.\n\n";cin>>len;
E1.SetArrayLength(len);
cout<<"\n\nEnter the Temperature & coresponding Activity data one by one.\n\n";E1.ArrayInput();
cout<<"\n\nEnter the no. of pH - Activity datasets.\n\n";
cin>>len;E2.SetArrayLength(len);
cout<<"Enter the pH & coresponding Activity data one by one.\n\n";E2.ArrayInput();
p1 = E1.CompareData();p2 = E2.CompareData();
cout<<"Opt. Temperature is "<<E1.Var[p1]<<" which corresponds to a max. activity of
"<<E1.Act[p1]<<".\n";cout<<"\n\nOpt. pH is "<<E2.Var[p2]<<" which corresponds to a max. activity of
"<<E2.Act[p2]<<".\n";
getch();}
C++ PROGRAM TO DERVIE THE COLUMN HEIGHT NEEDED TO ACIEVE THESPECIFIED DEGREE OF CONVERSION IN A FLUIDIZED BED REACTOR
#include<iostream.h>
#include<conio.h>class degree
{
public:void colht();
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private:float m,rm,l,a,f,k,s,h,v;
};
void degree::colht(){
v=((m*rm*l*a)/(f*k*s))*h;
}void main()
{
float m,rm,l,a,f,k,s,h,v;
clrscr();degree d;
cout<<”Enter the values of m,rm,l,a,f,k,s,h \n”;
cin>> m>>rm>>l>>a>>f>>k>>s>>h;d.colht();
cout<<”v= “<<v;
getch();}
Output:
Enter the values of vm,km,k1,h,s
1.0 2.0 3.0 4.0 1.0 2.0 3.0 7.0
v=28.0
C++ PROGRAM TO FIND THE OPTIMUM PH AND TEMPERATURE FOR MAXIMUM
ENZYME ACTIVITY
#include<iostream.h>
#include<conio.h>class optimum
{public:
void phtemp();private:
float vm,s,km,k1,h,v;
};void optimum::phtemp()
{
float v;v=vm*s*(km*(1+(k1/h)))+s;
}
void main(){
float vm,s,km,k1,h,v;
optimum o; /*creating the object using the class name*/
cout<<”Enter the values of vm,km,k1,h,s\n”;cin>>vm>>km>>k1>>h>>s;
o.phtemp(); /*calling the fn using the object*/
cout<<”v= “<<v;getch();
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}
Output:
Enter the values of vm,km,k1,h,s
1.1 2.1 3.1 4.2 5.2
v=-4.844e-29
C++ PROGRAM TO FIND THE OPTIMUM RATE FOR MAXIMUM CELL PRODUCTIVITY
#include<iostream.h>#include<conio.h>
class cell
{public:
void prod();
private:float u,s,ks,d;
};
void cell::prod()
{d=(u*s)/(ks+s);
}
void main(){
float u,s,ks,d;
clrscr();cell c;
cout<<”Enter the values of u,s,ks \n”;
cin>> u>>s>>ks;c.prod();
cout<<”d= “<<d;getch();
}
Output:
Enter the values of u,s,ks
1.2 2.3 3.4
d=16.6249