Deriving 4th order approximation of a 2nd order derivative using Taylor Table method

AIM:  To write a python program to solve the given system of equations using Multivariate Newton solver.   Equations     INTRODUCTION   Life is nonlinear, and its many diverse occurrences are frequently related to one another. Because each equation depends on the variables that have been solved…

AIM: To carry out a literature review on ordinary differential equations stability.     Introduction A stable problem is the one for which small changes in the initial conditions elicit only small changes in the solution. In other words, stability in mathematics, is the state in which a little change in a system…

Aim: To derive the reaction rate ODEs and production for each species in the0 given reaction mechanism.   Objective The objective in this work is to determine the net reaction rate for all four reactions using reactant and product matrices. After that, the production of each species is determined with respect to net…

AIM: The aim of this program is to write a Python code to fit a linear and cubic polynomial for the cp data. It aims to show the split wise method and explain all the parameters involved in the measurement of the fitness characteristics.   OBJECTIVES:  Know the importance of curve fitting in real life Learn how…

Aim: To determine the effect of the air preheating on adiabatic flame temperature and fuel saving using Cantera   Introduction Preheated air is air that has been heated prior to another operation, such as combustion in boilers. The primary goal of air preheating is to improve the thermal efficiency of heating operations.…

Objective The objective in this assignment is to use Quantity class of Cantera to create various mixtures. For that, we will explain how the mixture calculations are performed by answering the given questions.       1.Mole’s method and its calculation approach Mole Fraction describes the number of…

  AIM:  To write a Python program which solves the equation of motion of a simple pendulum with damping.     OBJECTIVE: To learn how to solve an Ordinary Differential Equation (ODE) using Python To solve ODE of a simple pendulum that represents its equation of motion To simulate the pendulum motion…

Aim: To calculate adiabatic flame temperature variation with respect to: Equivalence ratio in constant volume-chamber Heat loss in constant pressure-chamber Alkane, Alkene and Alkyne Number of carbon atom chains     Introduction   The temperature of the products for a combustion taking place under adiabatic…

Aim:  To perform a combustion simulation on a combustor model using Methane as fuel.   Objectives This project comprises two main parts with. In the first part, the objective is to calculate the mass fraction of different species such as CO2, H2O, CH4, N2, O2 and determine NOx emissions and Soot formation. In…

AIM: To write a Python program to plot p-v diagram and determine the thermal efficiency of the engine.   OBJECTIVE:  Understand the different processes of otto-cycle  Understand how the work is done between gas and piston during each process Understand the assumptions made between the reality and ideal otto-cycle…

Aim: To perform a parametric study on the gate valve simulation.   Objectives: The aim of this project is to carry out a parametric study on the gate valve by setting the opening from 10% to 80% with the objective to: Obtain the mass flow rates at the outlet for each design point Calculate the flow coefficient and…

Aim: To perform analysis on the cyclone separator and calculate the separation efficiency and pressure drop     Objectives There are multiple objectives behind this work which can be summarized as follows: Develop the ability to write a few words about any four empirical models used to calculate the cyclone separator…

Aim: The main purpose of this work is to model the flow and perform the conjugate heat transfer (CHT) analysis in an exhaust port using ANSYS Fluent.   Objectives Understand the importance of CHT analysis Understand the flow structure inside the exhaust port Learn the conservation of mass and energy in such a system…

  Aim: The main purpose of this work is to understand the concept of Rayleigh Taylor Instability and perform its simulation using Ansys Fluent.   Objectives: The objectives pursued throughout this work are multiple: Understand and explain some practical CFD models that have been based on the mathematical analysis…

AIM: To perform steady-state conjugate heat transfer analysis on a model of graphics card in Ansys Fluent.     INTRODUCTION: Conjugate heat transfer arises naturally in most instances where external and internal temperature fields are coupled. Thus, heat transfer analysis becomes essential for design of many…

AIM: The present work aims to simulate the external flow over an Ahmed body.   Objectives:   Describe Ahmed’s body and its importance Understand and explain the reason for negative pressure in the wake region Explain the significance of the point of separation Perform a grid independency test and provide…

Aim: The main aim of this work is to simulate the flow over a cylinder and explain the phenomenon of Karman vortex street.   Objectives Understand the process of vortex shedding Understand the importance of simulating the flow over a cylinder in real life Calculate drag and lift forces exerted on the external surface…

Aim: This project aims to study the thermal mixing in tee junction using the finite volume method and understand the use of the k-ꙍ SST and k-Ꜫ turbulence models.   Introduction In this project, steady-state simulations are set up to compare the mixing effectiveness when the hot inlet is at a temperature of 36°C…

What is Finite Volume Method (FVM)? Generally, we can say that, finite volume method is a numerical method in which the discretization of the field equations of a problem is done by subdividing the problem domain into cells and then writing the field equations in their integral form. In other words, the finite volume method…

REPORT ON AUTOMATED BLOCKMESH GENERATION FOR MESHING PIPE GEOMETRY (Part II) Introduction As said, the work done here is the second part of our project about the simulation of flow through a pipe. Thus, the numerical set-up is done using appropriate initial conditions which are same as the one in the first part. The simulation…

REPORT ON AUTOMATED BLOCKMESH GENERATION FOR MESHING PIPE GEOMETRY (Part I)  Introduction Fluid flow analysis is an important part of scientific world since it is a process used to simulate behaviours of various equipment and systems. Thus, flow is generally divided into two different types: laminar and turbulent…

Abstract  In this project, the simulation of the conditions for an inviscid flow inside a subsonic-supersonic Convergent-Divergent Isentropic Nozzle is done using MacCormack technique. The study is carried out through a quasi-one-dimensional simulation using the finite difference approach in MATLAB. The conservative…

Introduction   Generally, the movement of fluid liquid or gas is referred to as flow. That concept describes the fluid behaviour and interactions with its surrounding environment. However, flow can be either laminar or turbulent. Thus, in this project, we performed the simulation of an incompressible laminar viscous…

AIM: To derive the 4th order approximations of the second order derivative using central difference method, skewed right-sided difference method and skewed left-sided difference.   OBJESCTIVES: Learn the concept of Taylor table and its importance, To determine the difference between central and one-sided schemes by…

AIM: To perform steady state analysis and transient analysis   OBJECTIVES: To understand how to use iterative solvers to solve a problem. Learn how to implement methods such as: Jacobi method Gauss-Seidel method Successive over-relaxation. The explicit and implicit approaches.     Introduction: Most of the…

  AIM: To determine the numerical solution to the one-dimensional Linear Convection equation.     PROBLEM STATEMENT: The domain length is assumed to be L = 1m. The initial velocity profile is a step function. It is equal to 32 m/s between x = 0.1 and 0.3 and 1 m/s everywhere else. The first-order forward…

AIM: This project aims to create a Rankine Cycle Simulator by using MATLAB.     OBJECTIVES: Calculate the state points of the Rankine Cycle, Plot the corresponding T-s and h-s diagrams for the given set of inputs, Calculate the Net work output, Calculate work ratio.       THEORY : Rankine…

AIM: To write a MATLAB code to parse NASA thermodynamic data and calculate various thermodynamic properties of the given species     OBJECTIVES: Write a function that extracts the 14 coefficients and calculates the enthalpy, entropy and specific heat for all the species in the data. Calculate the molecular weight…

AIM: To write a MATLAB program to optimise the stalagmite function and find the global maxima of the function.     OBJECTIVE: Understand and explain the concept of Genetic Algorithm Master and explain the ga syntax in MATLAB To learn how to use Genetic Algorithm to optimise a function     EQUATIONS…

AIM: The aim of this program is to write a MATLAB code to fit a linear and cubic polynomial for the cp data. It aims to show the split wise method and explain all the parameters involved in the measurement of the fitness characteristics. OBJECTIVES:  Know the importance of curve fitting in real life Learn how to make…

  AIM:  To write a MATLAB program which solves the equation of motion of a simple pendulum with damping.     OBJECTIVE: To learn how to solve an Ordinary Differential Equation (ODE) using MATLAB To solve ODE of a simple pendulum that represents its equation of motion To simulate the pendulum motion…

AIM: To write a MATLAB program to plot p-v diagram and determine the thermal efficiency of the engine.   OBJECTIVE :  Understand the different processes of otto_cycle  Understand how the work is done between gas and piston during each process Understand the assumptions mabe between the reallity and ideal…