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

INTRODUCTION       A gate valve controls the media's flow by lifting the gate (open) and lowering the gate (closed). A gate valve's distinct feature is the straight-through unobstructed passageway, which induces minimal pressure loss over the valve. The unobstructed bore of a gate valve also allows for a pig's passage…

Conjugate Heat Transfer (CHT) Conjugate heat transfer is defined as the heat transfer between two domains by exchange of thermal energy. For a system the thermal energy available is defined by its temperature and  the movement of thermal energy is defined by its heat flux through the outer walls. Heat transfer in…

AIM: To conduct the Rayleigh Taylor CFD simulation. OBJECTIVE:  What are some practical CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves? In your own words, explain how these mathematical models have been adapted for CFD calculations. Perform the Rayleigh Taylor instability…

AIM: Describe why and where a Conjugate Heat Transfer analysis is used. Perform a CHT analysis on exaust manifold with 2 different sizes of mesh and compare the results and plots of velcoty, temperature and heat transfer coefficient. How to verify if the HTC predictions from the simulations are right and On what factors…

EXTERNAL FLOW SIMULATION OVER AN AHMED BODY AIM:  To simulate the flow over an Ahmed body by using a steady-state solver and also to perform a grid independency test. IMPORTANCE OF AHMED BODY: The flow around road vehicles under normal operating conditions is principally turbulent which is characterized by large-scale…

Steady Vs Unsteady flow over a cylinder  AIM :- Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street.    PART-I Simulate the flow with the steady and unsteady case and calculate the Strouhal Number for Re= 100.  PART-II Calculate the coefficient of drag and lift…

Validation Studies Of Symmetry BC vs Wedge BC In OpenFOAM vs Analytical H.P Equation   AIM: to simulate the given angles using both symmetry and wedge boundary conditions and validate them with HP equations like you did in the week 11 challenge. OBJECTIVE:  simulation for the below-mentioned angles…

Aim: - Fluid flow simulation of Mixing Tee with different turbulence methods. Objective: -  1) To study the initializing in ANSYS FLUENT for the project work. 2) To import the geometry in space-claim and pre-process for simulation. 3) To mesh the geometry with inflation layer and perform the steady…

Simulation of Flow through a pipe in OpenFoam In nonideal fluid dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille law, is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar…

OBJECTIVE: To create a geometry and simulate a 2D flow through a Backward Facing step using multiple meshes refining mesh grading factors inside BlockMeshDict file of BlockMesh using OpenFOAM. Problem Statement: Mesh specification Number of cells along the x direction (longer dimension) = 200 Number of cells along the…

Project Abstract:  This project presents modelling of behaviour of fluid and its properties when it passes through a convergent divergent nozzle by Macormack method. However to simplyfy it only 1D flow is considered in which flow is varied in x axis only. MATLAB code is used to understand the governing eqaution…

Aim: To derive the 4th order approximations scheme of second order derivative for Central difference Skewed right sided difference Skewed left sided difference prove that your skewed schemes are fourth order accurate. Deriving the 4th order scheme of the second order derivative: Central Difference: To compute fourth order…

Week 5.1 - Mid-term project - Solving the steady and unsteady 2D heat conduction problem   Aim: Solve the 2D heat conduction (Steady +Transient) equation by using the point iterative techniques that were taught in the class. The Boundary conditions for the problem are as follows;   Top Boundary = 600 K Bottom…

Aim:  To write a code in MATLAB for the Numerical solution for one dimensional equation by varying Timesteps   Objectives: To solve the 1D Linear convection equation   The solution is to be calculated using different no. of timesteps Taking initial velocities constant, final velocity is compared across different…

Aim:  To write a code in MATLAB for the Numerical solution for one dimensional equation by varying number of nodes Objectives: 1)To solve the 1D Linear convection `∂u/(∂t )+c*∂u/∂x=0` 2)The solution is to be calculated using different no. of nodes 3)Taking initial velocities constant, final…

Aim: To write program and simulate the motion of simple pendulum by solving 2nd order differential equation in MATLAB.   Simple Pendulum: It can be defined as point mass suspended on mass less string or rod.  Now, when this point mass is applied with given acceleration, it is subjected to periodic motion…

Aim: To calculate stochiometric combustion coefficient(a_r) for each grade of fuel. (i.e., alkane, alkene & alkyne) For generic alkane fuel combustion process will follow below equation. `C_m H_(2m+2)+ar(O_2+3.76N_2 )=aCO_2+bH_2 O+cN_2` For generic alkene fuel combustion process will follow below equation. `C_m…