Linear Convection - Solving 1D linear convection equation for different values of total number of grid points (n)

  Surface Wrapping Surface wrapping is a method of extracting the desired surface with the desired volume of interest to perform CFD analysis. Surface wrapping does not incorporate all the minor details of the inside of the geometry, it only takes the outer detail of the geometry. When the CAD file contains a lot…

Objective: Create the Ahmed Body slant for both 250 and 350 Run Steady-state implicit coupled flow simulation Use the turbulence models K-OmegsSST and k-epsilon Validate the velocity profile along the Ahmed body at different points with the experimental data. Calculate the cd and cl using the different turbulence.…

NACA The NACA airfoils are airfoil shapes for aircraft wings developed by the National Advisory Committee for Aeronautics (NACA). The shape of the NACA airfoils is described using a series of digits following the word "NACA". The parameters in the numerical code can be entered into equations to precisely generate the cross-section…

Objective Discuss some practical CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves. And explain how these mathematical models have been adapted for CFD calculations. Perform the Rayleigh Taylor instability simulation for 3 different mesh sizes with the base mesh being 0.5 mm. Compare…

Objective Briefly explain about the possible types of combustion simulations in FLUENT. Perform a combustion simulation on the combustor model and plot the variation of the mass fraction of the different species’ in the simulation using line probes at different locations of the combustor. Plot for CO2, H2O, CH4,…

Objective Write a few words about the four empirical models used for cyclone separator efficiency. Perform an analysis on the given cyclone separator model and apply four different diacrete phase boundary condition types at the inlet i.e. reflect, trap, escape and wall-jet. Vary the number of particles through the inlet…

Objective Simulate the flow of a fluid over the given system of gears for the following cases - Case 1: Gearbox sloshing effect with water as a lubricant (low clearance) Case 2: Gearbox sloshing effect with oil as a lubricant (low clearance) Case 3: Gearbox sloshing effect with water as a lubricant (high clearance) Case…

Objective In this project, we have to perform a parametric study on the gate valve simulation by setting 5 design points starting from the initial condition of lift with the least value of mass flow rate. And we need to: Obtain the mass flow rates at the outlet for each design point. Show the cut section view for the design…

Objective 1. Find out the maximum temperature attained by the processor. 2. Prove that the simulation has achieved convergence with appropriate images and plots. 3. Find out the heat transfer coefficient in appropriate areas of the model. 4. Identify potential hotspots on the model.     Conjugate Heat Transfer…

Objective To give a brief description of Conjugate Heat Transfer (CHT) and its applications. Perform CHT analysis on the model of an exhaust manifold. And compare the solutions for two different sizes of mesh. The first one with the baseline mesh and the second one with finer mesh on the solid zone and also with inflation…

Objective Take the mid-surface of the interior plastic component of a side door manually, mesh the geometry with quality. Take auto mid-surface and mesh the geometry with quality. Use the combination of both auto mid-surface and manually mid-surface and then mesh the geometry with quality.          …

Objective Describe Ahmed body. Perform a grid dependence test on the geometry of Ahmed body. Describe why pressure becomes negative in some places.     Ahmed body   The Ahmed body was described originally by S.R. Ahmed in 1984. Ahmed body is a simplified version of a passenger car. It is a bluff body with…

Objective Steady-State and Transient-State analysis of fluid flow over a cylinder to simulate von Kármán vortex street. Reynold's number = 100 Vortex Shedding In fluid dynamics, vortex shedding is an oscillating flow that takes place when a fluid such as air or water flows past a bluff (as…

  Objective: Set up the steady-state simulation in ANSYS FLUENT to compare the mixing efficiency of short and long mixing tee with different momentum ratio. Case 1 Short mixing tee with a hot inlet velocity of 3m/s Momentum ratio of 2 Case 2 Long mixing tee with a hot inlet velocity of 3m/s Momentum ratio of 2 Case…

Objective:- Effect of time step size on the solution Write a function that accepts time step as an argument and solves the same problem. You will compare the effect of time step on the numerical solution. 1. Set n = 80 2. Time steps to use = 1e-4, 1e-3, 1e-2, and 1e-1 Expected output 1. In a single graph compare the numerical…

Objective:- Write a program that compares the first, second and fourth order approximations of the first derivative against the analytical or exact derivative. 1. The function that you will compute if f(x) = sin(x)/x^3 2. You will compute the first derivative at x = pi/3 2a. You will compute the derivative both numerically…

Objective:- Show a plot that compares the effect of number of moles of carbon on the stoichiometric co-efficient "ar". Compare how this trend changes with the fuel type (alkane, alkene and alkyne)   For a generic alkane fuel the combustion process will following the below equation n = Number of moles of C ar = Stoichiometric…

Objective Implement both the conservative and non-conservative forms of the governing equations Perform grid dependence test Write separate functions for conservative and non-conservative forms Figure out the minimum number of cycles for which the simulation should be run in order for convergence Compare the normalized…

The hood of a car is at the front, it covers the engine of the car. In this challenge, we are going to remove all the surface errors from the hood and then mesh the inner and outer panel of the hood. Below are all the important steps and visual representation to achieve the task.   1. Inner hood panel Open the .stp…

In this challenge, we will perform surface wrap using ANSA on the Engine block, transmission, and gearbox. A surface wrap is an extremely fast method of generating surface mesh for the outer surface only. The surface wrap only covers the outer surface of the geometry. It is like keeping the complete geometry in the airtight…

In this challenge we are using ANSA pre processsor tool to clean up the CAD file of a turbocharger. After CAD clean up we will surface mesh the complete geometry, then we will also generate volume mesh. below are the steps and visual representation to achive the task.   Geometry clean up First, open the file in ANSA.…

ANSA is an industry leading pre-processor software widely used in automotive industries. It is use to pre process the geometry before a CFD or FEM analysis. In this project we are using ANSA software to remove surface errors from BMW M6 car. After removing surface errors we will move on to surface mesh, then we will also…

Objective This is the part 2 of the project. In this project we are simulating the flow through a wedge with 10, 25 and 45 degree wedge angle. And we are also changing the type of wedge to "symmetry" in openFoam blockMeshDict file and respective files. Part from that the rest remains the same. Then comaring the results…

Objective Write a program in Matlab that can generate the computational mesh automatically for any wedge angle and grading schemes. Show that the velocity profile is fully developed. Post process velocity and shear stress. Reynolds number based on pipe diameter and inlet velocity should be 2100 Working fluid - water Calculate…

Objective For the above diagram, use the icoFOAM solver to simulate the flow through a backward facing step. Create multiple meshes and compare the results obtained from each mesh. How does the velocity magnitude profile change as a function of mesh grading factor. Use grading factors, 0.2, 0.5,0.8 Measure the velocity…

Objective A=[5 1 2 ; -3 9 4; 1 2 -7] X=[x1;x2;x3] B=[10 -14 33] Determine Eigen values of iteration matrix. Spectral radius of iteration matrix. Solve the system using Jacobi, Gauss-seidel and SOR methods Compute the iteration Matrix for the above mentioned iterative methods. Increase the Spectral radius to 1.1 by changing…

Objective:- Write a program that solves the following ODE. This ODE represents the equation of motion of a simple pendulum with damping. Write a program in Matlab\Octave that will simulate the pendulum motion In the above equation, g = gravity in m/s2, L = length of the pendulum in m, m = mass of the ball in kg, b=damping…

Objective For both implicit and explicit methods look at the effect of time step on the stability of the solution. 1. How does an unstable solution look like? 2. At what CFL number does the solution become unstable ?   Solution   1. EXPLICIT METHOD The graphs below shows the solution for different CFL number.…

1. Steady State Analysis The fastest steady state simulation was given by successive over relaxation (SOR) method. It took 145 iterations and analysis time was only 0.8899 seconds. In SOR method we use relaxation parameter which helps in achieving the convergence faster. The value of T is increased more in each iteration…

Objective Derive the following 4th order approximations of the second order derivative 1. Central difference 2. Skewed right sided difference 3. Skewed left sided difference Once you have done this, write a program in Matlab to evaluate the second order derivative of the analytical function exp(x)*cos(x) and compare it…

Objective:- 1. For a range of dx, plot the first order, second and fourth order error. 2. Make sure that you plot dx vs error in a way that makes sense. 3. Explain the results in the space provided. What can you say about the slope of the curves in this plot? Formula for the fourth order approximation of the first derivative.…

Objective:- 1. Assume that the domain length is L = 1m 2. The initial velocity profile is a step function. It is equal to 2m/s between x= 0.1 and 0.3 and 1m/s everywhere else 3. Use first order forward differencing for the time derivative 4. Use first order backward/rearward differencing for the space term. 5. Time step…

Objective   1. Steady state analysis & Transient State Analysis Solve the 2D heat conduction equation by using the point iterative techniques. Use the following methods 1.1 Jacobi 1.2 Gauss-seidel 1.3 Successive over-relaxation Absolute error criteria is 1e-4 2. Write code for both implicit and explicit schemes…