Week 7 - Simulation of a 1D Super-sonic nozzle flow simulation using Macormack Method

OBJECTIVE : Perform steady-state simulations to compare the mixing effectiveness of mixing tee when hot inlet temperature is 360C & the Cold inlet is at 190C for given cases Case 1  Short mixing tee with a hot inlet velocity of 3m/s. Momentum ratio of 2, 4.  Case 2  Long mixing tee with a hot inlet velocity of 3m/s. Momentum…

Objective - To describe Finite Volume Method (FVM).   In computational fluid dynamics there are 3 numerical method based solvers to solve the governing navier strokes equations these are: 1. Finite difference method 2. Finite element method 3. Finite volume method Finite Difference Method (FDM): A finite difference method…

OBJECTIVE : Simulation of laminar flow through pipe in openfoam INTRODUCTION : Pipe flow regime laminar and turbulent is determined by Reynolds Number `R_e=(ρvD)/μ` for flow through pipe Re < 2300   laminar flow 2300< Re < 4000 Transitional flow Re > 4000 turbulent flow HYDRODYNAMIC ENTRANCE…

OBJECTIVE : Simulation of laminar flow through pipe in openfoam Simulate for the angles 10,25,45 degrees with both wedge and symmetry boundary condition.   INTRODUCTION : Pipe flow regime laminar and turbulent is determined by Reynolds Number `R_e=(ρvD)/μ` for flow through pipe Re < 2300   laminar…

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

OBJECTIVE :  Simulate quasi 1 Directional flow through supersonic nozzle by solving governig equation in both conservative and non conservative form using MacCormacks technique.     Governing Equations : Governing Equations are in terms of PDE for both Conservative and Non Conservative form in order to use…

Objective :   To solve the 2D heat conduction equation by using the point iterative techniques like Jacobi, Gauss-seidel and Successive over-relaxation (SOR). Given Data : The Boundary conditions for the problem are as follows Top Boundary = 600 K Bottom Boundary = 900 K Left Boundary = 400 K Right Boundary = 800 K. Case…

1. Central Difernce Scheme : In CDS we will take same number of nodes on both the sides of node at which we want to find derivative. In this case we want to find differentiation at i th node. Order of accuracy for CDS is given by ; The order of accuracy P = Number of nodes in the stencil N - Order of derivative…