Derivation of the 4th order approximation using 2nd order derivative using the central difference method so our stencil will look like, To make the stencil we need to find the number of nodes  Number of nodes = P + Q - 1 where P = order of approximation, Q = order of derivative so n = 2 + 4 - 1 = 5. we will have 5…

OBJECTIVE: To solve Steady and Unsteady state 2D Heat Conduction Equation by using the point iterative techniques such as Jacobi, Gauss Seidel & Successive over-relaxation for both implicit and explicit schemes using MATLAB. Problem statement: Computation area is to be a square. Assume nx = ny [No. of…

Simulation of a 1D Super-sonic nozzle flow simulation using Macormack Method. Objective: To Simulate the isentropic flow through a Quasi 1D subsonic nozzle by deriving both the conservation and non-conservation forms of the governing equations and solve them by implementing the MacCormack's technique using MATLAB. Problem…

OBJECTIVE. To simulate an incompressible-laminar-viscous flow through the backwards-facing step geometry and perform a transient simulation. Case 1 - To Simulate the flow without using any grading factor (i.e., GF = 1) Case 2 -  To Simulate the flow with a grading factor of 0.2. The cells should be finer…

FINITE VOLUME METHOD :- The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. Similar to the finite difference method (FDM) or finite element method (FEM), values are calculated at discrete places on a meshed geometry. One important…

Objective of the project: 1.The main objective of this project is to simulate the laminar flow through pipe. The wedge portion is taken as the whole circular section (cylinder) may take time to simulate or it may be costly if your computer do not have much resources. 2. The other objectives is to write the Matlab code…

OBJECTIVE. To simulate an axis-symmetric laminar flow through the constant cross-sectional of the pipe by applying the symmetry boundary condition. To simulating for the mentioned angles i.e for 10, 25, 45 degrees using both symmetry and wedge boundary conditions and validate them with HP equations.   Hagen-Poiseuille's…

 Title – Mixing Tee Effectiveness 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. To clean the geometry and mesh it in pre-processing.…

AIM: Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street. Understanding the vortex shedding for different Reynolds numbers by changing the inlet velocities accordingly. Create a monitor point behind the cylinder at a distance 5 times the diameter which can be used to calculate and analyze…

Objective: 1. To perform grid dependency test 2. T plot Velocity and pressure contours.  3. The plot velocity vector plot clearly showing the wake region.  4. To obtain coefficient Drag & Lift Ahmed body  Ahmed Body was one such generic bluff body proposed to study the external aerodynamics of the vehicles. The flow over…

Objective:1. To perform grid dependency test2. T plot Velocity and pressure contours. 3. The plot velocity vector plot clearly showing the wake region. 4. To obtain coefficient Drag & LiftAhmed body Ahmed Body was one such generic bluff body proposed to study the external aerodynamics of the vehicles.…

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 Then we will calculate the wall heat transfer coefficient on the internal solid surface & show the velocity…

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

Objective: 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. Perform the Rayleigh Taylor instability simulation for 2 different mesh sizes with the base mesh being…

Objective: 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. Perform the Rayleigh Taylor instability simulation for 2 different mesh sizes with the base mesh being…

Week 8 - Simulating Cyclone separator with Discrete Phase Modelling Introduction:- The centrifugal force produced by a spinning gas stream is used by cyclones to separate the particles from the carrier gas. They are perfect for use as pre-cleaners for more expensive final control devices like bag houses or electrostatic…

Week 9 - Parametric study on Gate valve. CHALLENGE FOR GATE VALVE SIMULATION: AIM:- For this challenge, you will have to perform a parametric study on the gate valve simulation by setting the opening from 10% to 80%.  Obtain the mass flow rates at the outlet for each design point. Calculate the flow coefficient…

Week 10 - Simulating Combustion of Natural Gas. In this challenge, Part I - We 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. We will plot for CO2, H2O, CH4,…

Week 3.2 - 2R Robotic Arm Challenge PROBLEM STATEMENT Write a program in Matlab to simulate the forward kinematics of a 2R Robotic Arm, as shown in the video.  Create an animation file of the plot. Upload an animation on You tube and provide the You tube link for an animation in your report. You can also provide the google…

Week 4.1 - Solving second order ODEs PROBLEM STATEMENT In Engineering, ODE is used to describe the transient behavior of a system. A simple example is a pendulum The way the pendulum moves depends on the Newtons second law. When this law is written down, we get a second order Ordinary Differential Equation that describes…

Week 5 - Genetic Algorithm PROBLEM STATEMENT Try to understand the concept of genetic algorithm by referring to varius sources before you attend this challenge. Look out for information regarding stalagmite function and ways to optimise it. Write a code in MATLAB to optimise the stalagmite function and find the global…

Project 1 - Parsing NASA thermodynamic data PROBLEM STATEMENT NASA  came up with polynomials that can be used to evaluate thermodynamic properties such as Cp, H and S. They have also documented the co-efficients that are required to evaluate these polynomials for 1000+ species. To guide you we have broken down the…

Project 2 - Rankine cycle Simulator PROBLEM STATEMENT:- Understand the concept of Rankine cycle by referring to standard thermal engineering text book. Create a Rankine Cycle Simulator using OCTAVE/MATLAB. Your code should calculate the state points of the Rankine Cycle (any type of your choice) based on user inputs. …