Week 7 - Simulation of a 1D Supersonic nozzle flow simulation using Macormack Method

Week 5 Challenge - Curve Fitting   1. What does popt and pcov mean? (Watch the video to get some context) 2. What does np.array(temperature) do? 3. What does the * in *popt mean? 4. Write code to fit a linear and cubic polynomial for the Cp data. Explain if your results are good or bad.  5. What needs to be done…

AIM: To perform the data analysis of a given data by programming in Python  Theoritical Background: Data analysis plays a role in making decisions more scientific and helping businesses operate more effectively. Data analysis is a process of inspecting, cleansing, transforming  and modeling data with…

AIM To solve the differential equation representing the oscillatory motion of a damped pendulum. GOVERNING EQUATION (d^2θ )/(d t^2) + b/m ⋅ (dθ)/dt + g/l ⋅ sin θ = 0 θ= angular displacement of the pendulum b = damping coefficient m = mass of pendulum ball (kg) g = acceleration due to gravity…

In this project, I will be calculcating the most efficient slot-fuel injector and cavity-flame holder for a scramjet in ANSYS Fluent. A scramjet engine is an improvement over the traditional ramjet engine as it efficiently operates at hypersonic speeds and allows supersonic combustion. Thus it is known as Supersonic Combustion…

Objectives: In this challenge, you are required to do a literature review of various turbulence models explained in the Turbulence modeling video (Week-5) and explain why DNS isn’t feasible according to Kolmogorov's scale. For the below geometry performs a 3D simulation and explain the recirculation region using…

AIM: Analyzing a missile with a high Mach number combined with engineering data added to the missile and doing structural analysis. OBJECTIVE: (CASE-1) To create the geometry and meshing domain of a missile and analyze the shock waves encountered for Mach No. 6. (CASE-2) To do structural analysis by adding material to…

Introduction: The Ahmed body is a geometric shape proposed by Ahmed and ram in 1984. The shape provides a model to study geometric effect on wakes of ground vehicles.  The Ahmed Body was first created by S.R. Ahmed in his research “Some Salient Features of the Time-Averaged Ground Vehicle Wake” in 1984.…

AIM: To simulate the turbomachinery component using the Moving Mesh method in the transient state to understand the flow physics.   THEORY: MOVING MESH APPROACH: Moving mesh approach is used only for the unsteady phenomenon like, Vortex-induced flow. Interaction of vortex with bodies. In Moving Mesh Approach, Mesh…

AIM: To simulate rotary motion for the given geometry and to study the moving zones approach in Fluent. THEORY:  1:  Introduction to moving zone: Two types of motion are involved in the fluid flow problem Rectilinear Rotary To model rotary motion, two approaches are used Moving Reference Frame (MRF) Moving…

Aim: Analysis of NACA 0012 airfoil at the subsonic and supersonic regimes. The airfoil is analyzed at different angles of attack and lift and drag coefficients for all the cases and results are compared. Angles of attack to be analyzed: Setup simulation for subsonic and supersonic regimes at (0, 5, 10, 15,20…

Pitot static tube: The pitot static tube consists of two concentric tubes. The central tube with open end pointing upstream of the fluid flow and the other closed at the end but with small holes drilled at right angles to the direction of the flow. The central tube pressure is equal to the static pressure and the dynamic…

Objectives: To simulate the flow inside a converging diverging nozzle. To plot the pressure, temperature and density variation inside the nozzle To plot the variation of Mach number inside the nozzle , and find out at what distance the the flow becomes supesonic. Introduction: A de Laval nozzle (or convergent-divergent…

OBJECTIVE To solve different state variables in the otto cycle and plot p-v diagram. To calculate thermal efficiency for the given parameters in the otto cycle. PROCESS IN OTTO CYCLE Process 0–1 a mass of air is drawn into piston/cylinder arrangement at constant pressure. Process 1–2 is an adiabatic (isentropic) compression…

Project 1 : CFD Meshing for Tesla Cyber Truck OBJECTIVE- For the given Tesla Cybertruck model , check and solve all geometrical errors and Assign appropriate PIDs. Perform meshing with the suitable Target length and element Quality criteria. Steps involved:- TOPOCLEANUP PID's Assign 2D meshing with different mesh…

Aim/Objective : To do surface wrap over assembled parts (engine,transmission and gear box) Target length for Wrap = 3mm Procedure : First the model is loaded on to ANSA Unwanted surface are deleted without damaging the outer shape of the geometries. Single cons are resolved mainly here as it would affect negetively on…

AIM: The aim of this project is to mesh a BMW car model which is available here. OBJECTIVE: The aim of this challenge is to perform geometry clean up on a BMW car perform surface meshing with the following parameters Body - 3 mm Lights - 4 mm Grills - 1 mm Rims and Tyres - 2 mm Optical Rearview mirror - 2 mm Window - 2…

Aim: For the given model of a turbocharger, check for the geometrical errors to make appropriate volumes. Create and assign PIDs accordingly. Create surface mesh and use that to create a volumetric mesh. Objective: 1. Perform surface mesh with the given target lengths as per PIDs. Blade stage-1 = 1 mm Blade stage-2 = 1…

AIM: This project aims to mesh a pressure valve using three different mesh sizes and find out the optimal mesh size. OBJECTIVES: Check for the geometrical errors and perform Topology cleanup. Set three different target lengths as three different cases and mesh the model. Target length = 1mm, 3 mm and 5 mm (i.e. 3…

Objective – To import the combustor 3D model in Spaceclaim, convert it into 2D ad save it as new model. To mesh the combustor model with suitable mesh setting. To setup the solver setting with proper solver model and its parameter. To generate plots of mass fraction of in combustion species -CO2, H2O, O2, N2, CH4,…

Objectives To perform the parametric study on the gate valve by simulating the opening of gate valve ranging from 10mm to 80mm. To obtain the mass flow rate for each design point. Calculate the flow factor and flow coefficeint for each design point. Introduction The gate valve is the fluid valve that opens by lifting the…

Theory: Cyclone Separator:  Cyclone separators are separation devices that use the principle of inertia to remove particulate matter from flue gases. Cyclone separator is one of many air pollution control devices known as pre-cleaners since they generally remove larger pieces of particulate matter.…

Theory: Conjugate heat transfer: The Conjugate Heat Transfer (CHT) analysis type allows for the simulation of heat transfer between solid and fluid domains by exchanging thermal energy at the interfaces between them. Typical applications of this analysis type exist as, but are not limited…

What are some practical CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves? In your own words, explain how these mathematical models have been adapted for CFD calculations. RT instability is the instability of an interface between two fluids of different densities which occurs when the…

Objective :   In this challenge,  We will ,give a brief description of why and where a CHT analysis is used.  We wil simulate both fluid flow and also the heat transfer to the solid i.e., CHT Analysis on an Exhaust port We will verify the HTC predictions from the simulations are right? And mention the…

Ahmed body: The Ahmed body was first created by S.R. Ahmed. It is an important benchmark for aerodynamic simulation tools. It will be clearly shown in the sketch below that it has a length of 1.044 meters, the height of 0.288 meters and the width of 0.389 meters. It also has a 50 millimeter cylindrical legs attached…

THEORY: Vortex shadding: vortex shedding is an oscillating flow that takes place when a fluid such as air or water flows past a bluff (as opposed to streamlined) body at certain velocities, depending on the size and shape of the body. In this flow, vortices are created at the back of the body and detach…

Objective To simulate the flow of air through mixing tee and understand the effect of length of pipe and momentum ratio of velocity for mixing of air by using two different types of pipe i.e. short pipe and long pipe. About In industrial process engineering, mixing is a unit operation that involves…

Subsonic-supersonic nozzle: The problem under consideration is the steady-state, isentropic flow through a convergent-divergent nozzle that can be shown by the following sketch. The variables in the diagram are described as follows: P0, T0, ρ0, V0 are the Pressure, Temperature, Density, and Velocity at the inlet of…

Solution: Here we are going to understand the concept of the 2d heat conduction equation of both stead and transient state of flow. We need to understand the derivation part where the terms are being discretized sequentially and then we move on to the coding part. There are few things that need to be considered before…

Derivation of the 4th order approximation of the Second-Order Derivative   Using the Central Difference method: Since we’re deriving using central difference; our numerical stencil will look like this,            Here, we’re computing 4th order approximation at point (i),…

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Skill-Lync -> Hybrid Drives Development % Project 1 - Conventional Vehicle Model % By - Vikram Jha % Description: %% Initialization File % Initialization file for loading the variables for the Conventional vehicle simulation model %% Vehicle Parameters…

Title:- Deals with the development of a forward energy-based fuel consumption model of a conventional vehicle. Aim:-  1] Build Simulink model using blocks and complete the vehicle model. 2] Writing scripts in MATLAB to load all the variables required for running the Simulink model. 3] Tabulate the fuel economy…

FOR UDDS clear all close all clc fprintf('WEEK-3 CHALLENGE FOR UDDS DATA') %inputs M = 2400; %vehicle weight g = 9.81; %gravity Cd = 0.35; %drag coeficient Af = 2.4; %frontal area vehicle rho = 1.225; %air density Cr = 0.013; %rolling resistance Aft = 5; %trailer frontal area Cdt = 0.8; %trialer drag force Tw = 1250; %trailer…

AIM: Create a Rankine cycle stimulator using MATLAB.   OBJECTIVE: Calculate each points of the rankine cycle. Plot T-S & H-S diagram for those values. Calculatethe efficiency.   THEORY: The Rankine cycle closely describes the process by which steam engines commonly found in thermal power generation plants harness…

AIM:  To write a code in MATLAB to parse the NASA thermodynamic data file and then calculate the thermodynamic properties of various gas species. OBJECTIVE: To write a function that extracts the 14 coefficients and calculates the enthalpy, entropy, and specific heats for all the species in the NASA thermodynamic data…

AIM:  To write a for stalagmite function and to calculate its global maxima value using MATLAB.   THEORY: Genetic Algorithm (GA) is a search-based optimization technique based on the principles of Genetics and Natural Selection. It is frequently used to find optimal or near-optimal solutions to difficult…

AIM:  To write a for stalagmite function and to calculate its global maxima value using MATLAB.   THEORY: Genetic Algorithm (GA) is a search-based optimization technique based on the principles of Genetics and Natural Selection. It is frequently used to find optimal or near-optimal solutions to difficult…

AIM: Write a program to fit linear and cubic polynomial for the specific heat(cp) data set and calculating goodness of fit using different parameters and different ways to improve the fit in MATLAB.   THEORY:  Curve fitting  is the process of constructing a curve, or mathematical function, that…

AIM: Write a program in Matlab to solve the ODE and to simulate the motion of pendulum with damping.   THEORY:  In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the derivatives of…

AIM: Write a program in Matlab to solve the ODE and to simulate the motion of pendulum with damping.   THEORY:  In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the derivatives of…

AIM: Write a program for otto cycle and plot a p-v diagram and also calculate the thermal efficiency.   THEORY: An Otto cycle is an idealized thermodynamic cycle that describes the functioning of a typical spark ignition piston engine. It is the thermodynamic cycle most commonly found…

AIM: Write a program in Matlab to simulate the forward kinematics of a 2R Robotic Arm.   THEORY: A robotic arm is a type of mechanical arm, usually programmable, with similar functions to a human arm; the arm may be the sum total of the mechanism or may be part of a more complex robot.…

AIM: Write a program in Matlab to simulate the forward kinematics of a 2R Robotic Arm.   THEORY: A robotic arm is a type of mechanical arm, usually programmable, with similar functions to a human arm; the arm may be the sum total of the mechanism or may be part of a more complex robot.…