Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method: Objective: To derive the following 4th order approximation of the second order derivative using Central difference Skewed rigth-sided difference Skewed left-sided difference First step is to find the number of nodes required…

Week 5.1 - Mid term project - Solving the steady and unsteady 2D heat conduction problem: Aim: To solve the 2D Steady state heat conduction equation by using point iterative technique (Jacobi,Gauss-seidel,Successive over-relaxation) To solve the 2D transient/unsteady heat conduction equation by using explicit and…

Your Answers Week 3.1 - Stoichiometric Combustion Calculator Objective: The aim of this project is to determine and plot the comparison and the effect of number of molecules of carbon (c) on the stoichiometric co-efficient (ar) for the combustion reaction. The ideal combustion process during which the fuel is burned completely…

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 the position of the "ball" w.r.t time. …

Week 5.3 - Mid term project - Stability analysis in the unsteady problem: Aim: To perform stability analysis in the unsteady problem. The 2D heat conduction equation is of two types: i) Steady state ii)unsteady state   Governing equation: 2D steady state heat conduction equation is represented as, `(del^2T)/(delx^2)+(del^2T)/(dely^2)=0`…

Week 5.2 - Mid term project - Steady vs unsteady state analysis: Aim: To compare the convergence rate [Number of iterations] of the steady state and transient [explicit and implicit] simulations and justify the numerics.   Governing equation: 2D steady state heat conduction equation is represented as, `(del^2T)/(delx^2)+(del^2T)/(dely^2)=0`…

Week 7 - Simulation of a 1D Super-sonic nozzle flow simulation using McCormack Method: Aim: To simulate 1D Supersonic nozzle flow using McCormack Technique by implementing conservative and non conservative form of governing equations using MATLAB program. Problem Statement: Determine the steady-state temperature distribution…

Week 8 - Simulation of a backward facing step in OpenFOAM Aim: To simulate an incompressible-laminar-viscous flow through the backward facing step geometry and perform a transient simulation. The solver can be chosen based on the described physics of the flow. To explain the entire simulation procedure. To provide explanations…

Week 9 - FVM Literature Review Objective: To explain about Finite Volume method To write down the major differences between FDM & FVM. To describe the need for interpolation schemes and Flux limiters in FVM. Methods of CFD: In fluid dynamics we know that there are three numerical-method based solvers which are used for…

Week 1: Channel Flow Simulation using CONVERGE CFD Aim: The main aim of the project is to set up a 2D Channel Flow simulation in CONVERGE CFD software in which the simulation is set up with three different meshing parameters assigned with certain inlet and outlet boundary conditions. Channel Flow: The flow that are surrounded…

Week 3: Flow over Backward Facing step Aim: The main aim of the project is to simulate the flow over Backward Facing step using CONVERGE CFD in which the simulation is setup with three different meshing parameters assigned with certain inlet and outlet parameters. To display the mesh for different base grid sizes To show…

Week 4.1: Project Steady State Simulation of Flow over a Throttle body. Aim: The main aim of the project is to simulate a flow over a throttle body in steady state condition. To post process the results and show pressure and velocity contours. To display the mesh. To display the plots for pressure, velocity, mass flow…

Week 4.2: Project Transient simulation of flow over a throttle body Aim: To perform a transient simulation of flow over a throttle body. To post process the results and to show the pressure and velocity contours along with the mesh (i.e surface with edges). To display the plots for pressure, velocity, mass flow rate and…

Week 5: Prandtl Meyer Shock problem Aim: To do a literature search on what BC's are typically used for shock flow problems. To understand the reason behind the usage of Neumann Boundary condition at outlet for supersonic flow. To explain what a shock waves are and the physics behind it. To explain about the effect of SGS…

Week 6: Conjugate Heat Transfer Simulation Aim and Objective: To simulate, Conjugate Heat Transfer flow through a solid pipe and to understand super cycling. Baseline configuration: To setup a flow simulation through a pipe. Inlet Reynolds number should be 7,000  Re = (rho*V*D)/(Dynamic viscosity) Turbulence…

Week 7: Shock Tube Simulation Project Aim: The main aim of the project is to set up a transient state simulation of shock tube with a diaphragm placed at the centre of the shock tube internally. To plot the pressure and temperature history in the entire domain. To plot the cell counts as a function of time and to…

Week 8: Literature review RANS derivation and analysis Aim: To apply Reynolds decomposition to the Navier-Stokes equations and come up with the expression for Reynolds stress. To explain the understanding of the terms Reynolds stress. To explain about turbulent viscosity and it's different from molecular viscosity.  …

Week 9 - Mini project - Flow over an Airfoil Aim: To simulate flow over a 4 digit airfoil i.e NACA 2412 Airfoil. To calculate the following, Drag co-efficient Vs Angle of Attack Lift co-efficient vs Angle of Attack Compare the effect of turbulence models on the above two results. Make sure that the inlet Reynolds…

Week 10: Modelling and Simulation of flow around an Ahmed Body Aim: To create the CAD model using your any CAD package. To setup a Coarse CFD simulation.  To setup the virtual wind tunnel as shown in the video. To apply the right boundary conditions and solver settings. To use a coarse mesh to demonstrate that your…

Week 1- Mixing Tee Aim: To set up steady-state simulations to compare the mixing effectiveness when hot inlet temperature is 360C & the Cold inlet is at 190C.  To use the k-epsilon and k-omega SST model for the first case and based on the judgment to use the more suitable model for further cases.  Case 1 …

Week 2 - Flow over a Cylinder Aim and Objective: To simulate the flow over a cylinder and explain the phenomenon of Karman vortex street.    To show that the flow has converged.  To plot the coefficient of drag and lift.  To plot the vortex shedding behind the cylinder.  To mention the referred…

Week 3 - External flow simulation over an Ahmed body. Aim: To describe Ahmed's body and its importance. To explain the reason for the negative pressure in the wake region.  To explain the significance of the point of separation.    Expected Results: To display velocity and pressure contours.  To display…

Week 4 - CHT Analysis on Exhaust port: Aim & Objective: To perform a Conjugate Heat Transfer analysis and simulate flow inside an Exhaust port. To give a brief description about Conjugate Heat Transfer (CHT) analysis and where and why it is used. To perform CHT analysis on Exhaust Port. To select a proper turbulence…