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

  Aim: To Setup a flow simulation through a pipe with inlet Reynolds number 7,000 using K-Epsilon Turbulence modelling and  Supercycling method. To perform Grid dependence test using 3 grids and find out value of Y+ and to show convergence of temperature to a particular value in each case.…

Aim:  To Apply reynold's decomposition to the NS equations to get reynold's stress. To understand terms of Reynold's stress. Overview of turbulent viscosity and its difference between molecular viscosity.   Theory Reynolds average Navier-Stokes equations(RANS) In order to describe the behaviour of the turbulent…

 Aim: To Create the CAD model of Ahmed body, create virtual wind tunnel around it and Setup a Coarse CFD simulation. To create an animation of the velocity and  pressure distribution on a cutplane that cut the ahmed body model in two symmetric pieces. To Post process the coarse mesh results and extract the x component…

Aim: To Simulate flow over a 4 digit NACA 2412 Airfoil for Angle of Attacks = 1º, 5º,  10º, 15º and to calculate Drag co-efficient Vs Angle of Attack, Lift co-efficient vs Angle of Attack and Compare the effect of turbulence models on the above two results for the…

Aim:  To Setup a transient shock tube simulation, To plot the pressure and temperature distribution in the entire domain for entire simulation and To Plot the cell count as a function of time. Introduction: A simple shock tube is a tube, usually constructed of metal, in which a gas at low pressure and a gas at high pressure…

 Aim:  To simulate the Prandtl - Meyer shock flow problem using Converge To setup the problem for supersonic and subsonic flows near the convex corner or sharp corner and study the change in flow variables  To study the effect of SGS tempertaure value on cell count, shock location and production of Mesh. To understand…

Aim: To simulate the flow over the throttle inside the elbow and to study  pressure, velocity contours and plots for pressure, velocity, mass flow rate and total cell count. The simulation is the transient simulation and the throttle should rotate inside the elbow for the specified time. Throttle: A throttle is the mechanism…

Aim: To simulate the flow over the throttle inside the elbow and to study  pressure, velocity contours and plots for pressure, velocity, mass flow rate and total cell count.  Throttle: A throttle is the mechanism by which fluid flow is managed by constriction or obstruction. An engine's power can…

Aim: To simulate an axi-symmetric flow by applying the wedge boundary condition for a laminar flow through a constant cross-section pipe at an inlet Reynold's number of 2100 and validate results with the Hagen- Poiseuille's equations for the fully developed flow. To write code in Matlab to automate the generation of blockMeshDict…

 Aim: To simulate an incompressible-laminar-viscous flow through the backward facing step geometry. Compare 2 case studies given and compare their results. 1.Simulate the flow without using any grading factor (i.e., GF = 1) 2. Simulate the flow with grading factor of 0.2. The cells should be finer near the walls (includig…

Aim: Derive the 4th order approximations of the second-order derivative with Central difference Skewed right-sided difference Skewed left-sided difference Using Taylor table method and to compare the errors involved in the schemes using MATLAB   Theory: Second order derivative of analytical function can be determined…

Aim: To simulate of the isentropic flow through a quasi 1D subsonic-supersonic nozzle using the McCormack’s technique in MATLAB. To derive both the conservation and non-conservation forms of the governing equations and solvee them using the MacCormack's technique To determine the steady-state distribution of the…

Aim: To solve Steady and Unsteady 2D heat conduction equation by implementing various iterative techniques in MATLAB. Theory: Heat conduction is the process of transmission of heat energy from one particle of the medium to the other but here each particle of the medium stays at its own position. In this condition, we are…

Aim: Write a code in MATLAB to perform file parsing for NASA thermodynamic data.   Objective: Write a code in MATLAB to extract 14 coefficients of different species from given NASA data file THERMO.dat and to calculate enthalpy, entropy and specific heat of all species. Calculate the molecular weight of all species.…