Solving second order ODE

AHMED BODY:   The Ahmed body was described originally by S. R. Ahmed in 1984. Three main features were seen in the wake: 1. The A recirculation region that is formed as the flow separates at the top of the vertical back surface of the model 2. The B recirculation region is formed due to the separation at the base…

Flame Speed Analysis:The flame is a self-sustaining propagation of a localized combustion zone at subsonic velocities. The flame occupies a small portion of the combustible mixture at any one time and it is propagating towards the unburned gases. The velocity at which reactants enter the flame will be the same as flame…

The main aim of this challenge is to write a MATLAB code which generates block mesh file for angles 10,25 and 45 degrees. Then solve them using the IcoFoam folder in openfoam and then compare velocity profiles at different length of pipe. Parameters: Working Fluid: Water Reynolds Number(Re) : 2100 Wedge Angle: 2.5 degree…

The main objective of this challenge is to write Matlab code for generating mesh for a wedge with an angle less than 5 degrees and solve using Icofoam solver for solving. Velocity profile at different positions are calculated throughout the pipe and measuring the distance from the inlet for a fully developed profile and…

INTRODUCTION: The goal behind this project is to study the dependence of the non-dimensional streamwise velocity in terms of wall-distance, 𝑢+ vs. 𝑦+ in a turbulent channel flow with the presence of staggered cubes on the bottom surface of the channel. The analysis is done based on the velocity data provided at three Reynolds…

Turbulent flow has practical considerations in many engineering applications including urban development and green energy. The turbulence associated with air pollution dispersal has been studied to improve urban development planning. Studying turbulence in the wake of wind turbines can help improve the design and overall…

The objective of this challenge is to perform a parametric study on the gate valve with different lift values. GEOMETRY AND MESH: Initial geometry has been provided with a few millimeters clearance between disc and bottom. Initial simulation is a 10mm lift of disc valve. Fluid volume is extracted using the Volume extract…

The main objective of this challenge is to write a MATLAB code that calculates Eigen Values, Spectral radius of a matrix. As well it should be able to find the Iterative matrix and solution for variables using Jacobian, Gauss-Seidel and Successive over the Relaxation method. Given matrix are: EIGEN VALUE CALCULATION: Spectral…

Objective: In this assignment, we will be writing a Python/Cantera Code to find the 10 most sensitive reactions out of all the reactions in the GRI3.0 mechanism. The main parameters of this assignment are given below:  Write a code that takes all the reactions from the GRI mechanism and calculates 10 most sensitive…

Objective: In the project, the aim is to script a Multivariate Newton Rhapson Solver in Python for solving the coupled non-linear partial differential equation. The set equations used for solving this particular case is shown below: `(dy_1)/dt = -0.04y_1 + 10^4 y_2 y_3` `(dy_2)/dt = 0.04y_1 - 10^4 y_2 y_3 - 3*10^7…

Problem Statement: In this problem an Ordinary differential equation for the motion of simple Pendulum is given: (d^2(theta)/dt^2) + (b/m)*(d(theta)/dt) + (g*sin(theta)/L) = 0 ----- (1) In this case: g = gravity in m/s2, L = length of the pendulum in m, m = mass of the ball in kg, b = damping coefficient, theta = Angle…

REFERENCE: EVALUATION ON EMPIRICAL MODELS FOR THE PREDICTION OF CYCLONE EFFICIENCY - JULIUS GIMBUN Cyclones are devices that employ a centrifugal force generated by a spinning gas stream to separate particles from the carrier gas. By using suitable materials and methods of construction, cyclones may be adapted for use…

The objective of this challenge is to determine the cushion pressure needed to break a given thickness of ice using an air cushion vehicle, Muller (“Ice Breaking with an Air Cushion Vehicle”) in Mathematical Modeling: Classroom Notes in Applied Mathematics, SIAM 1987) derived the equation Where: p denotes the…

TURBOCHARGER INTRODUCTION A turbocharger, colloquially known as a turbo, is a turbine-driven forced induction device that increases an internal combustion engine's efficiency and power output by forcing extra compressed air into the combustion chamber. This improvement over a naturally aspirated engine's…

The main objective of this challenge is to clean up the given BMW M6 vehicle geometry, assign respective parts to the vehicle body, surface mesh, mesh quality check, creating wind tunnel and volume mesh the vehicle CAD model. PROCEDURE: The vehicle model is imported into ANSA software as an IGS file format. Initially,…

The objective is to perform gear sloshing simulation using Ansys fluent for two different gearboxes with different clearance. The user-defined function was used which provides the angular velocity of 200rpm. Four simulations were performed: 1) Case 1 Gearbox: Air and water 2) Case 1 Gearbox: Air and oil 3) Case 2 Gearbox:…

The ultimate aim of this challenge is to Surface mesh the given cylinder with a mesh size of 1 unit and to give proper part ID for the different surfaces of the geometry. Procedure: Given Solidworks cylinder model file is imported into ANSA workspace. Initially, the model will load as a wireframe mode as shown below. In…

In this case steady, isentropic flow through a convergent-divergent nozzle is studied. Inlet of nozzle is connected to the reservoir in which flow is subsonic, at throat flow is sonic and at the outlet flow is supersonic. The ultimate objective of the challenge is to write a MATLAB code which calculated mass flow rate…

Q1. 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. Rayleigh waves are a type of surface acoustic waves that travel along the surface of solids. They can be produced…

The main objective of this challenge is to write a code for simulating transient and steady 2D heat conduction equation. As well as Jacobian, Gauss-Seidel and Successive overrelaxation methods are involved for solving the conduction equation. Then the Implicit and Explicit method too taken into consideration. At last the…