Handling Mixtures with Cantera

(i) ODE(Ordinary differential equation) Stability depends on the type of method applied. For example if we use the Eulers forward differential method i.e., the explicit method to find the solution of the ODE. Eulers forward differential method (Explicit) `y_(n+1)=y_n +h*f(x_n,y_n)` lets say equation-A where, `h=x_1-x_0`…

The objective is to derive the reaction rate of ODEs of a simple mechanism. The chemical kinetics is the study of reaction mechanism subjected to different operating conditions which is based on equilibrium chemistry. The compact notation for the below rates of reaction for multistep mechanism are shown below as an example…

1) The effect of preheating on AFT (adiabatic flame temperature) with pre-heat temperature range between 298k & 600k. The code for that is shown below using cantera. \"\"\" Preheat temperature Vs Adiabatic Flame Temperature \"\"\" import cantera as ct import matplotlib.pyplot as plt gas = ct.Solution(\'gri30.cti\')…

1) In the given code, mole fractions of O2 & N2 are given as 0.21 & 0.79 we know that, mole fraction = (number of moles of that species)/(Total number of moles)   from the reaction of methane(CH4) `CH_4 +2O_2 +2(3.76)N_2=CO_2+2H_2O+2(3.76)N_2`   lets calculate mole fraction of O2(A gas quantity) as example …

1) Effect of equivalence ratio on AFT: In Python For methane contained in a constant volume chamber assuming N2 is present. The program code in python to plot the effect of equivalence ratio on the adiabatic flame temperature (AFT) is attached in this link: https://drive.google.com/open?id=1H-uuNPpDex5oVygqOHYBJtB9j1zDlv94…

In order to break ice with Air Cushion Vehicle, I am finding the minimum pressure required using newton raphson method in python. Input parameters: width of ice wedge (beta) = 0.5 size of air cushion (r) = 40 (in feet) tensile strength of ice (sigma) = 150 (in psi) = 150*12*12 (in psf(ponds per square feet)) thickness…

Data Visualizer: In this code I have extracted values of crank(in deg) and volume(in `m^3`) from given file along with labels for the plot between them & this plot is saved as images. The code for extracting the useful information as per given statement above is shown below. \"\"\" Data Analysis \"\"\" import…

1) The term \"popt\" in the code is the coefficients such as x, a, b, c used to define the function i.e., the polynomial equation. In the code the curve_fit function will calculate those coefficients & popt is output of those values The term \"pcov\" in the code is the co-variance matrix which indicates uncertainities…

The program to simulate the transient behaviour of a simple pendulum is shown below. ODE (Ordinary Differential equation) of 2nd order is used which describes the position w.r.t time. \"\"\" Transient behavior of Simple Pendulum\"\"\" import math import matplotlib.pyplot as plt import numpy as np from scipy.integrate import…

A) The program code to generate P-V plot/diagram is shown below. \"\"\" otto cycle simulator \"\"\" import math import matplotlib.pyplot as plt def engine_kinematics(bore, stroke, con_rod, cr, start_crank, end_crank): \"\"\"Engine kinematics\"\"\" # Geometric parameters a = stroke/2 R = con_rod/a #volume parameters v_s…