Aim: To derive the fourth order approximations of a second order deraivative using central differencing scheme,skewed right sided difference and skewed left sided difference with the help of taylor table method and compare the analytical derivative with obtained values for the given function.   MATLAB CODE MAIN CODE:…

FUNCTION CODE: % FOR JACOBI function out=jacobi(t,told,i,j) out=0.25*((told(i,j-1)+told(i,j+1)+told(i-1,j)+told(i+1,j))) end % FOR GS function out=GS(t,told,i,j) out=0.25*((t(i,j-1)+told(i,j+1)+t(i-1,j)+told(i+1,j))) end % FOR sor function out=sor(t,told,i,j,f) out=(1-f)*told(i,j)+f*(0.25*(t(i,j-1)+told(i,j+1)+t(i-1,j)+told(i+1,j)))…

Finite Volume Method (FVM) solves the governing equations that describe the flow over a volume instead of a point, irrespective of the shape of the volume which provides an advantage of formulating and working with unstructured meshes in comparison to the finite difference method (FDM). The flow quantities are conserved…

Motivation So far we have learnt some ideas on Governing equations, their forms (w/o knowing their actual means), FDM, Consistency of a Numerical scheme, Discretization (FDM), Time integration, Stability and more or less few. Now we put all of these together. Governing equations In Conservative form we consider control…

Block: Simulation: (Steps) 1. Open the terminal in the Linux Operating System 2. just type 'tutorials', and it takes you to the in-built tutorial files of the OpenFOAM software. Type 'ls' (list) to view the contents in the tutorials. 3. Type 'cd incompressible. And then 'Is. It takes into the incompressible directory file.…

In nonideal flueid dynamics,the higen_poiseuille equation, also known as Hagen-poiseuille law, iis a pysical law that gives the pressuree drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section EQUATION: In standard fluid-kinetics notation. where:…

PROCEDURE AND RESULT: 1.Case1 Short mixing tee with a hot inlet velocity of 3m/s. Momentum ratio of 2,4   Geometry: The Geometry has been provoided in the challenge interface The first case is simulated with the short T-joint with the momentum ratio 2. Meshing: We have done mesh refinement by an element size=0.002m…

Aim: To Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street. Objective: 1.To Calculate the coefficient of drag and lift over a cylinder by setting the Reynolds number to 10,100,1000,10000 & 100000. (Run with steady solver) 2.Simulate the flow with the steady and unsteady case and calculate…

AIM: To study the Conjugate Heat Transfer Analysis using the Exhaust Port. OBJECTIVE: • Give a brief description of why and where a CHT analysis is used. • Maintain the y+ value according to the turbulence model and justify the results. • Calculate the wall/surface heat transfer coefficient on the internal…

AIM: To conduct the Rayleigh Taylor CFD simulation. OBJECTIVE: 1. 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. 2. Perform the Rayleigh Taylor instability simulation…

AIM: Perform a steady-state conjugate heat transfer analysis on a model of a graphics card. OBJECTIVE: 1. Simulate by varying the velocity from Im/sec to 5m/sec for at least 3 velocities and discuss the results. 2. Find out the maximum temperature and heat transfer coefficient attained by the processor. 3. Prove that the…

Aim: To Perform the analysis on the Cyclone separator and calculate the separation efficiency and pressure drop with varying the particle diameter and particle velocity. Objective: 1. To write a few words about any four empirical models used to calculate the cyclone separator efficiency. 2. To perform an analysis on a…

  INTRODUCTION A gate valve controls the media's flow by lifting the gate (open) and lowering the gate (closed). A gate valve's distinct feature is the straight-through unobstructed passageway, which induces minimal pressure loss over the valve. The unobstructed bore of a gate valve also allows for a pig's passage in cleaning…

1. Title - Simulating combustion of natural gas. 2. 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…

Objective: QI. Describe Ahmed's body and its importance. Q2. Explain the reason for the negative pressure in the wake region. Q3. Explain the significance of the point of separation. Expected results: 1. Velocity and pressure contours. 2. The drag coefficient plot for a refined case. (For a velocity of 25m/sec, the drag…

Aim: Surface meshing of pressure valve with different target length. Target length = 1mm, 3 mm and 5 mm (i.e. 3 cases) • Element type = Tria Procedure 1. Topo-Cleanup: • The first thing need to be done is to check for single cons and triple cons in the model. Sinle cons are cons that are shared with one surface only which…

  OBJECTIVE For the given model, check for the geometrical errors ,create and assign PID'S, Perform surface mesh and volumetric mesh Target length for different components are: • Blade stage 1= 1mm • Blade stage 2= Imm • Impeller= 2mm • Shaft rotor= Imm • Turbo casing= 5mm Compressor casing-…

Aim: The aim is to create the single volume between BMW car & wind tunnel to perform external aerodynamics simulations. Objective: For the given model of BMW car, check and solve all geometrical errors on half portion and Assign appropriate PIDs. Perform meshing with the given Target length and element Quality criteria.…

AIM: For the given models, check for the geometrical errors and delete surfaces that are unwanted for the Surface wrap as shown in the videos. After clearing geometry, Merge all 3 models and perform surface wrap. Target length for Wrap = 3 mm GIVEN MODEL: Model 1: (ENGINE) Model-2 (Gear box) Model-3 (Transmisson) TOPO…

Aim: For the given model of tesla's Cyber truck, check and solve all geometrical errors and Assign appropriate PIDs. Perform meshing with the suitable Target length and element Quality criteria and also create a wind tunnel and perform volumetric mesh.  Procedure: 1. Topo/geometry clean-up: a. Upload the ANSA file…

  1. INTRODUCTION Channel flow is an internal flow in which the confining walls change the hydrodynamic structure of the flow from an arbitrary state at the channel inlet to a certain state at the outlet. The simplest illustration of internal flow is a laminar flow in a circular tube, while a turbulent flow in the…

Aim: • To simulate the airflow over a backward-facing step using converge studio. • To study the turbulent flow characteristics downstream to backward-facing step. • To compare the flow over backward-facing step for different mesh grading of 2e-3, 1.5e-3, and 1.0e-3. Theory: Flow separation: Flow separation…

AIM: To run the simulation of a steady-state simulation of flow over a throttle body.   THEORY: A throttle body is essentially a large air valve that sits between the intake manifold and the air intake pipe. An engine has one throttle body, which bolts to the intake manifold's plenum (the large air cavity in the center).…

I. INTRODUCTION A throttle is a mechanism by which fluid flow is managed by constriction or obstruction. An engine's power can be increased or decreased by the restriction of inlet gases (by the use of a throttle), but usually decreased. The term throttle has come to refer, informally, to any mechanism by which the power…

AIM: To perform prandtl meyer shock problem. INTRODUCTION: Prandtl Meyer expansion fan is a two dimensional simple wave. It is a centered expansion process that occurs when a supersonic flow turns around a convex corner. The fan consists of a finite number of Mach waves diverging from a sharp corners. When a flow turnsaround…

Objective: To simulate the Conjugate Heat Transfer over pipe using Super- Cycling in CONVERGE and determine Y+ Theory: Conjugate Heat Transfer: Conjuate Heat Transfer correspond with the combination of heat transfer in solid and heat transfer in fluid. • In solid, conduction often domain whereas in fluid convection…

AIM: To run Transient Flow simulation in a Shock Tube using converge CFD. OBJECTIVE • Setup a transient shock tube simulation • Plot the pressure and temperature history in the entire domain - Explain the result • Plot the cell count as a function of time - Explain the result • It is expected to show…

AIM To determine the following term NS Equation with expression output for Reynold's Stress understanding of the terms Reynolds stress What is turbulent viscosity? How is it different from molecular viscosity? Turbulent In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic changes in…

 Objective To make NO HYDRO case set up of an IC engine. Make boundary flagging and complete the whole set up in order to figure out if the Geometry moves correctly during the run. Geometry Boundary flaging Piston head inflow and intake port outflow and exhaust port liner cylinder head intake and exhaust valve spark…

1. Title – Emission characterization on a CAT3410 engine. 2. Objective – To import the CAD model of engine in converge Software and check for errors. To make sector for both omega piston and w piston, with make engine sector surface. To solve the case using suitable solver and convert the result for Paraview…

Aim: To simulate the port fuel injection engine in converge CFD by using hydro simulation and calculate the important parameters like Compression ratio, Power, Combustion efficiency, and Torque. Theory: Fuel injection is the introduction of fuel in an IC engine, most commonly automotive engines, through an injector. Fuel…

PORT FUEL INJECTION: 1. What is the Compression ratio for the engine?      The compression ratio is the ratio between the volume of the cylinder and combustion chamber in an internal combustion engine at their maximum and minimum values.      In a piston engine, the static compression ratio(CR) is the ratio between the…

         Adding Scalar Transport Equation in IcoFoam solver   1. Introduction The aim of this project is to modify the existing IcoFoam solver to  solve a scalar transport equation as given below. dsdt+∇.(us)=0">dsdt+∇.(us)=0dsdt+∇.(us)=0  ....................................eqn(i)…

aim:The total pressure ptotal is the contribution of the static pressure and the dynamic pressure . To calculate this, we decide to write a coded function object called p_total  reads in the fields p and U  creates a field p_total (using IOobject)  computes the expression  writes the file p_total to the disk  step1:coping…

Project 3 : Adding a temperature dictionary to the incompressible icoFoam case to solve the energy equation 1. Introduction The aim of this project is to add a temperature dictionary to the incompressible icoFoam case to solve the energy equation as given below. ∂T∂t+(∇.U)T=k∇2T">∂T∂t+(∇.U)T=k∇2T∂T∂t+(∇.U)T=k∇2T …

PROJECT 4 \documentclass{article} % Language setting % Replace `english' with e.g. `spanish' to change the document language \usepackage[english]{babel} % Set page size and margins % Replace `letterpaper' with`a4paper' for UK/EU standard size \usepackage[letterpaper,top=2cm,bottom=2cm,left=3cm,right=3cm,marginparwidth=1.75cm]{geometry}…

Aim: To write a program to simulate the forward kinematics of a 2R robotic arm. Matlab code clear all close all clc l1 = 1;%length of arm 1 l2 = 0.5;%length of arm 2 theta1 = linspace(0,90,10);% angle variation for arm 1 theta2 = linspace(0,90,90);%angle variation for arm 2 ct = 1; %initialization of ct to capture animation…

Code and Result Explaination:  Used ode45 to solve simple pendulum equation under damping. Function - 'ode_func' gives values of dtheta1/dt and dtheta2/dt into the ode 45 solver. this is done since the equation is 2nd order and needs to be reduced to 1st order ODE. Using for loop and we find the position of pendulum…

Aim: To optimize the Stalagmite function and obtain the Global maximum for the stalagmite function using the Genetic Algorithm and explain the various ways of approach with there significance. Objective of the project: Specify the area of Stalagmite function. Code the function for the Stalagmite. Plot the surf for the…

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

Rankine Cycle Simulator Aim: Creation of Rankine cycle simulator from given input and reading the data from standard thermodynamic library of steam table. Objective: To create a Rankine Cycle simulator in MATLAB. To calculate the state point using function XSteam. To plot the T-S and H-S curve for given input in Rankine…