Assignment 6

Q1. Derive the following 4th order approximations of the second-order derivative.      1. Central difference     2. Skewed right-sided difference     3. Skewed left-sided difference Also, prove that your skewed schemes are fourth-order accurate.  Once you have done this, write a…

OBJECTIVE: TO WRITE A PROGRAM TO COMPARE THE FIRST, SECOND, AND FOURTH ORDER APPROXIMATIONS OF THE FIRST DERIVATIVE WITH ANALYTICAL DERIVATIVE WHEN THE VALUE OF dx IS VARYING. Given function: `sin x/x^3` at `x=pi/3` Answer: For calculating the first, second and fourth order approximation, functions of each order…

Q1. Write a program that compares the first, second, and fourth-order approximations of the first derivative against the analytical or exact derivative. Ans:  Given equation: `f(x)=(sin (x))/x^3` Computing first derivative at `x=pi/3` Program:   clear all close all clc %function given: sin(x)/x^3 %function…

Q1. Write a program in MatlabOctave that will simulate the pendulum motion, just like the one shown in the start of this challenge. use, L=1 metre, m=1 kg, b=0.05. g=9.81 m/s2.  Simulate the mtion between 0-20 sec, for angular displacement=0,angular velocity=3 rad/sec2 at time t=0. 1. You have to upload the animation…

The code is to calculate the value of the stoichiometric coefficients of the equation: CnH2n+2 + ar( O2 + 3.76N2 ) = aCO2 + bH2O + cN2 close all clear all clc %chemical equation CnH2n+2 + ar(O2 + 3.76*N2)= a*CO2 + b*H2O + c*N2 %number of moles of carbon atom in 1 mole of fuel(alkane, alkene, alkyne) %case x=1 has been…

Differential Equation: It is an equation with a function and one or more of its derivative. Mainly, there are two types of differential equations, which are- 1. Ordinary differential equation 2. Partial differential equation Ordinary differential equation: A differential equation that involves an unknown function of one…

1. Kinematic viscosity v=`mu/rho`= (dynamic viscosity)/(fluid density)` unit: `m^2s^-1` 2. Dynamic viscosity `mu=T/gamma`= (sheering stress)/(sheering rate change) unit:- Pascal second= Pa.s 3. Peclet number Peclet number, Pe, is a dimensionless group representing the ratio of heat transfer by motion of a fluid to…

ASSIGNMENT 11: Discretization:- https://projects.skill-lync.com/projects/ASSIGNMENT-11-23380

Q1. Tutorial- single cyl DI add case 2 with discretization length 0.1 mm for intake runner and compare with default case 1. Parameters-Torque, BSFC, max cylinder pressure simulation time  Ans:  Step 1: Select the Single cyl DI tutorial. Step 2: Make the discretization length as a parameter. Case Setup: Here…

Q1. Explore Example- Diesel_4cyl_DIpulse_injratemap and write a detailed report  Parameters-SOI, Rail Pressure Response- NO and BSFC minimum Run all cases and find the optimum values Ans:  Diesel_4cyl_DIpulse_injratemap: The example 'Diesel_4cyl_DIPulse_InjRateMap' demonstrates several modeling concepts important…

Q1. Explore -Examples provided below and write a detailed report  engine+aftertreatment (75 marks) Detailed SI engine aftertreatment Ans:  This example demonstrates modeling an SI engine combined with a detailed TWC in a secondary aftertreatment circuit. The original base model SI_4cyl_EGRController was combined…

Q1.List down for Gasoline vs Diesel engine (80 marks) the pollutants  aftertreatment devices with catalyst materials the example files Strategies used for reducing tailpipe emissions Ans:  The pollutants:    Diesel engines work in leaner ranges of fuel, so the emissions of CO and HC are supposedly lesser…

ASSIGNMENT 7 https://projects.skill-lync.com/projects/Assignment-7-87464

Q1. Explore tutorial number 9 and write a detailed report. The Tutorial 9 explains the conversion of a detailed full design model into an FRM model in 8 steps. In this model, a 4-cylinder Turbocharged Gasoline Direct Injection engine with a turbocharger wastegate controller and semi-predictive intercooler is used.…

ASSIGNMENT 6: https://projects.skill-lync.com/projects/ASSIGNMENT-6-68975

Types of the turbocharger:  Single Turbo Sequential turbo Twin scroll Turbo Variable geometry turbo Variable twin scroll turbo Electric turbo TURBOCHARGER EXAMPLE IN GT POWER: The following are the examples from the gt-power: Fixed geometry turbocharger this is the simplest form of the turbocharger in which the geometry…

OBJECTIVE: To do thermodynamics analysis of an engine for tractor application for use in India with following targets: Max power 75 Hp Bsfc target : min 210 g/kWh and 225 g/kWh Can use cooled EGR configuration MODEL DISCRIPTION: TAFE 7502 DI 2WD is used in the following:    This modelconsist of four cylinder,…

https://projects.skill-lync.com/projects/ASSIGNMENT-4-58171 Assignment 4 link.

1. As we have run both the cases( SI single cylinder and CI single cylinder) at same rpm i.e 3600 rpm, these two model have different specifications and outputs. some of them are listed below:                                      …

Answer 1: By appending the case for RPM parameter, we feed the speed 1800 rpm their and then run.  In GT- POST, combine both the cases and the results are there. As we all know BMEP =IMEP-Friction losses. So, BMEP=153.88-0.8=153KW(Approx). For In-cylinder pressure: In-cylinder pressure is: 58.90 bar. Answer 2: To…

This is the GUI of GT-SUITE. As we can see there are several options above the blank screen, those are the functions that are used In the software.  Different GT Modules Available: GT- POST: Once the simulation is complete, the results are viewed in the GT-POST. In its home tab there are several options such as ScratchPad,…