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

Aim: Perform CFD Volumetric Meshing of a Turbocharger. Theory:What is a Turbocharger?Turbocharger (often called a turbo) is a mechanical device which is powered by the exhaust gas flow of an internal combustion engine to increase its output power for a given engine displacement. The main components of a turbocharger include…

Aim: To perform Surface Meshing on a Pressure Valve. Theory: Setup: Importing geometry into the GUI of ANSA. Perform Geometry checks.  Geometry Cleanup:Single CONS are the main errors to be solved. Single CONS implies that there is a surface missing i.e.: a CONS is shared by only 1 surface instead of atleast 2 surfaces.So,…

Aim: To perform a parametric study on a gate valve by setting the opening from 10% to 80%.Theory: Valves are the devices used to direct, control or regulate the flow of a fluid by opening, closing or partially obstructing the flow passage. The valves classification can be summarized with the following picture:                           …

Aim:- To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop.   Objective:- To write a few words about any four empirical models used to calculate the cyclone separator efficiency.  To perform an analysis on a given cyclone separator model by varying the particle…

Aim: Perform a CHT analysis on a graphic card.Theory:A Graphic card is an electronic hardware that is used for graphics processing in computers. It increases the video memory of the computer and makes it able to do graphics intensive work like simulations, gaming, video editing, etc. A graphic card is made of various smaller…

Aim:  Simulate Rayleigh Taylor Instability for 2 phase condition. Theory: Rayleigh Taylor Instability is an instability of an interface between 2 fluids of different densities, when lighter fluid pushes the heavier fluid or when lighter fluid accelerates intothe denser fluid. Some examples where this phenomenon is observed…

Aim: Perform a CHT analysis on an export port of an automobile. Theory: The Conjugate Heat Transfer (CHT) analysis type allows for the simulation of heat transfer between solid and fluid domains by exchanging thermal energy at the interfaces between them. The conduction mode of heat transfer being a dominant…

Aim: Describe Ahmed body and its importance. Simulate a flow over Ahmed body. Plot the results and provide a conclusion for the obtained results. Obtain the plot for drag coefficient.  Theory: The Ahmed Body was first created by S.R. Ahmed in his research “Some Salient Features of the Time-Averaged Ground Vehicle…

Aim: Simulating a flow over a cylinder and study the affects of flow parameters on the simulation results. The challenge at hand is divided into 2 challenges: For Reynolds NumberRe=100, simulate the flow using steady and unsteady/transient solver independently and compare the results. Using a steady solver solve simulate…

 Aim: To simulate the flow through a pipe with a Tee junction and affects of variation in geometric and flow parameters on the flow. The Challenge is divided into following parts: Comparison of k-omega SST model and k-epsilon model. Comparison of results for short and long pipes with Tee junction. Comparison of results…

Finite Volume Method:  Finite Volume Method is a numerical method used for solving Partial Differential Equations, particularly for fluid flows, numerically. It involves 3 crutial steps with following order: Grid Generation Integration Interpolation functions: Making a profile assumption for dependent variable for evaluating…

Laminar Flow over a Backward Facing Step: Fluid seperation his a common and interesting. Thus it has been an area of intensive study for many years. Some classical applications includes -a flow in a pipe with sudden expanion, flow in a pipe with an obstruction, flow in a channel with an obstruction and flow in a channel…

Simulation of a 1D Super-sonic nozzle flow simulation using Maccormack Method Before solving the problem, lets understand what is it we are solving for and how? We are to solve for a steady state 1D supersonic nozzle flow and simulate the results for the same.The nozzle in consideration is a 'convergent-divergent nozzle'…

2D Heat Conduction: Heat conduction is defined as transfer of thermal energy within a medium from more energentic region to low energetic region. The region in our case is a 2D plane and we will solve the Heat conduction equation for this region with a given boundary condition and for cases like steady case and unsteady…

Taylor Table for Forward Difference Scheme:    F.D.S      f(i)      `Deltax`f'(i)      `Deltax^2f''(i)` `Deltax^3f'''(x)` `Deltax^4f''''(x)` `Deltax^5f'''''(x)` `Deltax^6f''''''(x)` a`f_i`  a  0  0  0  0  0 0 b`f_(i+1)`  b…

Aim: Create a Rankine Cycle Simulator using MATLAB. Then, plot the corresponding T-s and h-s plots for the given set of inputs. Also calculate following parameters: Specific Steam Consumption Back Work Ratio Theory: Rankine cycle is a vapour power cycle with water as a working fluid. It consists of 4 processes occuring…

NASA came up with polynomials that can be used to evaluate thermodynamic properties such as Cp, H and S. They have also documented the co-efficients that are required to evaluate these polynomials for 1000+ species. So, according to problem statement we have to extract these coefficients for 53 species given in the attached…

Stalagmite Function: Stalagmite refers to an upward-growing natural structures formed due to mineral deposits that precipitates from the water dripping onto the floor of the cave.The stalagmite function when plotted on a 3d graph have the similar appearance and hence the name. The problem statement asks for optimization…

%This program is to solve the ODE representing the motion of a simple pendulum with damping and hence simulate the motion for 0 to 20 secs. close all clear all clc %% %Problem Statement %Governing Differential Equation is given by θ"+(B/M)θ'+(g/L)sinθ=0. %where, %θ is angular displacement %θ'…