Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method

Introduction to GUI based CFD using ANSYS FLUENT Rayleigh Taylor Instability Mixing of Two fluids in a Control Volume RT instability is the instability of an interface between two fluids of different densities which occurs when the lighter fluid is pushing the heavier fluid, example includes the behaviour of water suspended…

Introduction to GUI based CFD analysis using ANSYS FLUENT Exhaust Port CHT Analysis on Exhaust Port Introduction Conjugate Heat Transfer Heat transfer in solids and heat transfer in fluids are combined in the majority of the applications. This is because the fluid flows around solids or between solid walls and because…

Ahmed Body Simulating the flow over an Ahmed Body in ANSYS FLUENT Introduction Ahmed Body Ahmed's body is a three-dimensional model of an aerodynamic vehicle prototype that has the same shape as a genuine vehicle. R. S. Ahmed initially proposed it in his 1984 paper "Some Salient Features of the Time-Averaged Ground Vehicle…

Flow Over a Cylinder Using ANSYS FLUENT to Simulate Flow Over a Cylinder Introduction When fluid flows around a cylindrical object, there is a range of flow velocities for which a Von Karman Vortex street is formed. For the velocities exceeding the laminar flow, the inertia of the fluid becomes significant and, as the…

Mixing Tee Use ANSYS FLUENT to Simulate the Mixing of Fluid in T-joint AIM To simulate the flow of air through a mixing tee. We have 2 different conditions.  Effect of different ratios of momentum, velocity on the mixing (variation in inlet velocities). The effect from extending the length of pipe, after the mixing…

Introduction The inlet conditions remain the same and the angle of the wedge is increased to 10°, 25°, 45° respectively and the results are compared, the wedge type is required to be updated from wedge to symmetry in blockMesh, pressure, and velocity files. Problem In this challenge, simulation of the same…

Flow-Through a Pipe Simulation Through OpenFoam Introduction Flow-through a pipe or in this case The Hagen Poiseuille's Flow, laminar flow occurring in a smooth cylindrical pipe.  Internal flow through a pipe is the common flow example. In the case of laminar flow, we consider layers of fluid sliding over each other…

Finite Volume Method Literature review for Finite Volume Method Introduction   The Finite Volume Method is applied on a control volume such that the governing equation is valid over the entire volume. It is used to represent and evaluate PDEs in the form of algebraic equations.   The value of variables is represented…

Simulation of Backward Facing step in the OpenFOAM Simulation of Incompressible-Laminar-Viscous Flow   Introduction Before the simulation can be performed we need to elaborate on some concepts, when we talk about the incompressible laminar and viscous flow we are dealing with a Newtonian fluid flowing through a constrained…

1 D Super-Sonic Nozzle Flow Simulation of 1D Supersonic Nozzle Flow using Maccormack Method Introduction The Maccormack method is a variant of the Lax-Wendroff method. We use this method so that we can avoid the use of second-order derivatives. Instead, an average of the first derivative is used (calculated by forwarding…

  Introduction Thermal conduction is the transfer of internal energy by microscopic collisions of particles and the movement of electrons within a body. The collision leads to the transfer of the internal energy whether it be Kinetic energy or Potential Energy. The 2D Heat equation ∂T/∂t -∝(∂2T/∂x2…

Discretization is the process through which we can transform continuous variables, models or functions into a discrete form. We do this by creating a set of contiguous intervals (or bins) that go across the range of our desired variable/model/function. Mathematical problems with contentious data have infinite degrees of…