CURVE FITTING LINEAR AND CUBIC POLYNOMIAL

Flow over a cylinder with different reynolds number.  Dimensions were taken as follows Diameter of cylinder= 0.03m Length of cylinder= 0.1m The length of the Computational domain was taken to be 0.6m Formula to calculate the baseline case Reynolds number.  Re = V*D/v where D= cylinder diameter in m v = kinematic…

Constraint Minimization Problem

Newton Raphson Method in determining the Minimum Pressure required to break Ice cushion. \"\"\" NEWTON-RAPHSON by MAK \"\"\" import matplotlib.pyplot as plt import math import numpy as np beta=0.5 r=40 sigma=150*144 h=[0.6,1.2,1.8,2.4,3.0,3.6,4.2] alp=0.8 p=1000 tolerance=1e-7 def eqn(p,h,r,beta,sigma): t1=np.power(p,3)*(1-np.power(beta,2))…

% robotic arm animation clear all close all clc %input l1=1; l2=0.5; %calculations theta1=linspace(0,90,10); theta2=linspace(0,90,10); ct=1; %use of ct is just for the frame for i=1:length(theta1) THETA1=theta1(i); for j=1:length(theta2) x0=0; y0=0; THETA2=theta2(j); x1=l1*cosd(THETA1); y1=l1*sind(THETA1); x2=x1+l2*cosd(THETA2);…

CENTRIFUGAL PUMP FLOW SIMULATION   Boundary Conditions: a) Environment Pressure at inlet:    101325 Pa    293.2 Kb) Velocity at Outlet:    10 m/s   Link for Velocity Contours: https://drive.google.com/open?id=1Z4iGkyoWVxxh1SKTe1QfiZG4_s5-X6zX Link for Pump CAD file: https://drive.google.com/open?id=1_OMKrp80AYqDT876blpp2cKAWOdPYVKG…

FLOWBENCH SIMULATION   1) Boundary Conditions: a) Total Pressure at inlet:    101325 Pa    293.2 Kb) Static Pressure at Outlet:    95000 Pa    293.2 K 2)  Grid dependendency test(at 0.001m of valve lift): The following grids were chosen: Out of these, the 3rd design point…

  1) Question:What does popt and pcov mean ? Answer:popt is an array which consists of optimum values of the coefficients of the function(linear,quadratic,cubic etc.) so that the error is minimum between the actual data and the curve fit. pcov is an array which consists of the estimated Covariance of popt.Covariance…

Data Visualizer Tool for the data provided for Internal combustion engine. NOTE:sublimeREPL package was used in providing input by the User in the program given below. \"\"\" DATA VISUALIZER \"\"\" import matplotlib.pyplot as plt import numpy as np import sys import math #Opening the file try: f=open(\'engine_data.out\',\'r\')…

  1) Question:What does popt and pcov mean ? Answer:popt is an array which consists of optimum values of the coefficients of the function(linear,quadratic,cubic etc.) so that the error is minimum between the actual data and the curve fit. pcov is an array which consists of the estimated Covariance of popt.Covariance…

The following data was colleted for BOEING 737 MID SPAN AIRFOIL(b737b-il) The velocity chosen was 250 m/s at 101325 Pa and 293.3 K. 1) For angle of Attack 2 degrees:     2) For angle of Attack 4 degrees:     3) For angle of Attack 6 degrees:   4) For angle of Attack 8 degrees:     5)…

The pipe was made with the following dimensions: a) Length=1m b) Diameter=0.018m c) thickness=0.001m The inlet velocities were calculated to be 0.005566 m/s, 0.05566 m/s and 0.5566 m/s for Reynolds number 100,1000 and 10000, respectively. Design point 1 represents reynold\'s number=100   Design point 2 represents…

1) Main Program   \"\"\" Otto cycle by MAK \"\"\" import math import matplotlib.pyplot as plt import numpy as np #function definition def eng_varfunc(bore,stroke,con_rod,cr,start_crank,end_crank): a=stroke/2 r=con_rod/a v_s=math.pi/4*pow(bore,2)*stroke v_c=v_s/(cr-1) v_1=[] theta=np.linspace(start_crank,end_crank,100)…

  \"\"\" Robotic arm Simulation Program by MAK \"\"\" import math import matplotlib.pyplot as plt l1=1.5 l2=1 x0=0 y0=0 theta1=[] theta2=[] n_theta=10 thetastart=0 thetaend=math.pi/2 ct=1; for i in range(0,n_theta): tmp=thetastart+i*(thetaend-thetastart)/(n_theta-1) theta1.append(tmp) theta2.append(tmp) for t1 in…

\"\"\" program to calculate drag force by MAK THE VALUES FOR ALL THE INPUTS ARE RANDOMLY CHOSEN \"\"\" import matplotlib.pyplot as plt import numpy as np #inputs #drag coefficient c_d=np.linspace(0.5,1.5,25) print(c_d) #frontal area A=0.2 #velocity velocity=np.linspace(1,25,25) print(velocity) #density rho=1.2 #dragforce…

Genetic algorithm first selects parent solutions and obtains results using them. It works on the principle of the survival of the fittest.Then, GA breeds the parents to produce better offsprings(i.e solutions) and the obtain results using those solutions.After many iterations, GA converges to find a minimum value to the…

1)Main Program clear all close all clc x=linspace(0,0.6,150); y=linspace(0,0.6,150); num_cases=100; f=get_stalagmite1(x,y); options=optimoptions(\'ga\') options=optimoptions(options,\'PopulationSize\',250); for i=1:num_cases [inputs,fopt(i)]=ga(@stalagmite_func2,2,[],[],[],[],[0;0],[0.6;0.6],[],options) xopt(i)=inputs(1);…

1) Main Program close all clear all clc disp(\'1-2 is Isentropic Expansion in the Turbine\') disp(\'2-3 is Constant Pressure Heat Rejection by the Condenser\') disp(\'3-4 is Isentropic Compression in the Pump\') disp(\'4-1 is Constant Pressure Heat Addition by the Boiler\') disp(\' \') p1=input(\'Enter the Pressure at…

1)Main program %main program close all clear all clc fop=fopen(\'thermo30.dat.txt\',\'r\') for m=1:5 ign{m}=fgetl(fop) end for k=1:53 [coeff{k} t{k} speciesname{k}]=extract_data(fop); end for k=1:53 molec_wt{k}=mol_wt(speciesname{k}); c_p{k}=specheat_calc(coeff{k},t{k}); h{k}=enthalpy_calc(coeff{k},t{k}); s{k}=entropy_calc(coeff{k},t{k});…

Genetic algorithm first selects parent solutions and obtains results using them. It works on the principle of the survival of the fittest.Then, GA breeds the parents to produce better offsprings(i.e solutions) and the obtain results using those solutions.After many iterations, GA converges to find a minimum value to the…

1) a)fitting a linear polynomial %fitting a linear polynomial clear all close all clc %preparaing the data cp_data=load(\'datanew\'); temperature=cp_data(:,1); cp= cp_data(:,2); %curve fit coeff=polyfit(temperature,cp,1) pred_cp=polyval(coeff,temperature); % comparing curve fit with original data plot(temperature,cp,\'linewidth\',3,\'color\',\'r\');…

Link to the video of Damped Pendulum Motion: https://youtu.be/KvAMWccTOwc close all clear all clc %ODE initial conditions theta_0=[0;3]; b=0.5; g=9.81; l=1; m=1; %odetimepoints t_span=linspace(0,20,500); %odesolution [t,result]=ode45(@(t,theta) ode_func(b,g,l,m,theta,t),t_span,theta_0); ct=1; %plotting figure(1) clf plot(t,result(:,1))…

%otto cycleclear allclose allclc%inputsgamma = 1.4;bore=0.1;stroke=0.1;cr=16;con_rod=0.15;t3=2500;%state variablesp1=202650;t1=500;%calculationsv_swept=(pi/4)*bore^2*stroke;v_clearence=v_swept/(cr-1);v1=v_swept+v_clearence;%state 2v2=v1/cr;p2=p1*cr^gamma;t2=(p2*v2*t1)/(p1*v1);v_comp=eng_varfunc(bore,stroke,con_rod,cr,180,0);const1=p1*v1^gamma;p_comp=const1./v_comp.^gamma;%state…

%drag force on a bicycle close all clear all clc %input variables %for velocity, these values are randomly chosen vel=[9,8,7,6,5];%density of fluid(air)rho=1.2; %for various shapes,these values are chosen randomly for frontal area f_area=[1,2,4,6,7];%drag coeffiecients chosen randomlydrag_coeff=[0.65,0.7,0.75,0.8,0.9];…