Aim - To solve the second-order ODE function for a pendulum by using Matlab and simulate the motion.   Theory for pendulum A pendulum is a mass attached with a string suspended from a pivot so that it can swing freely. It is subjected to a restoring force which accelerated it back to normal in an equilibrium…

Aim - To optimize the stalagmite function using genetic algorithm techniques using Matlab. To understand the genetic algorithm first, we need to understand the following concepts to build a basic understanding of the genetic algorithm.  1) what is optimization? and discussing various optimization techniques? 2) what…

AIM: Write a MATLAB program that extracts the 14 coefficients and calculates the enthalpy, entropy, and specific heat for all the species in the data file (NASA Thermodynamic data). Introduction:NASA introduced polynomials that can be used to calculate the thermodynamic properties such as Specific heat(Cp), Enthalpy…

Aim: To derive a 4th order approximation of a 2nd order derivative using the Taylor table method. Objectives: 1. Derive 4th order approximation of a second-order derivative using central, skewed right side, and skewed left side difference approximation method. 2. Prove that the approximation schemes are of fourth-order.…

  Aim: To solve steady and unsteady two-dimensional heat conduction equations using implicit and explicit methods.   Objectives: 1. Write a MATLAB code to solve the steady-state two-dimensional heat conduction equation using the implicit method. 2. Write a MATLAB code to solve unsteady (transient) state two-dimensional…

Aim: Simulation of quasi 1D subsonic-supersonic nozzle flow using MacCormack method.   Objectives: The objective of this project is to simulate an isentropic flow through a quasi 1D subsonic-supersonic nozzle using MacCormack method for conservative and non-conservative form of governing equations.  …

Aim: To simulate a backward facing step in OpenFOAM.   Introduction: The study of fluid motion across various geometries is one of the major aspects of a CFD engineer. The fluid flowing over different geometries results into different flow fields (velocity field, pressure field and more). By using this flow field…

Computational fluid dynamics is a branch of fluid mechanics that uses numerical analysis and data structures to analyze and solve problem that involves fluid flows. The fluid flow characteristics are very random and complex and usually defined by Navier-Stokes equations and Euler equations. These equations are in the differential…

Aim: To simulate flow through a pipe in OPENFOAM and validate the results.   Objectives:  1. To validate of hydrodynamic length with the numerical result. 2. Validate the fully developed flow velocity profile with its analytical profile. 3. Validate maximum velocity and pressure drop for fully developed flow. 4. Post process…

Aim: To set-up steady state simulations for computing mixing efficacy of a T-joint.    Objectives: 1. To set-up a steady state simulation to compute mixing effectiveness of the hot and cold fluid. 2. To use RANS based turbulence models and compare them to obtain best suitable model for the given case. 3.…

Aim: To obtain results of the simulation of flow through circular pipes by applying symmetry and wedge boundary condition and validation of the results with the analytical solution.   Objectives: 1. Validation of hydrodynamic length with the numerical result. 2. Validation of the obtained velocity profile. 3.…

Aim: To simulate flow past a cylinder with varying Reynolds number and interpret the flow characteristics.   Objectives: 1. Simulate the steady and unsteady (transient) cases for range of Reynolds number. 2. To calculate the drag and lift coefficients for the respective cases. 3. To calculate strouhal number for unsteady…

Aim: To simulate external flow over an Ahmed body using Ansys fluent.   Objectives: 1. To set-up simulation case for velocity of 25 `m/s` with working fluid as air. 2. Simulate various cases with different `Y^+` values (coarse, medium and refined mesh at the boundary). 3. Calculate drag and…

  Aim: To develop a numerical set-up for conjugate heat transfer analysis on exhaust port.   Objectives: 1. Investigate wall adjacent and surface heat transfer coefficients. 2. Understand flow and thermal characteristics. 3. To perform mesh independent study. 4. Set-up a rough surface model to understand…

Aim: To perform Rayleigh-Taylor instability CFD simulation.   Objectives: 1. To develop a numerical case set-up for Rayleigh-Taylor instability problem in Ansys Fluent. 2. To conduct grid dependency test to understand the variation in RT instabilites. 3. To understand the effect on RT instabilities due to variation…