Week 5 - Mid term project - Solving the steady and unsteady 2D heat conduction problem

 Aim: To simulate the motion of simple pendulum by solvind 2nd order differential equation using python considering damping coefffcient. Objective: 1)To Understand the concept of converting 2nd order ODE to first order linear system. 2) To understand the odeint function to solve the diffential equation when provided…

AIM:To calculate the abiabatic flame temperature for the combustion of fuel using pyhton. Objective: 1. Use the concept of newton raphsons method to solve the enthapy equation of products and reactants at constant pressure. 2.To monitor the effect of equivalence ratio on adiabatic flame temperature Adiabatic flame temperature:…

Aim: To write a program to simulate otto cycle using python, Considering the volume change w.r.t crank angle. Objective: To trace the volumetric compression and expansion with respect to crank angle. Otto cycle: The Otto cycle is a description of what happens to a mass of gas as it is subjected to changes of pressure,…

Aim: The aim of the challeneg is to carry out combustion simulation and also consider the effect of water added in fuel on emmisions. Objective: The objective of the challenege is to understand chemical kinetics and its use to simulate the process of combustion using computer program. The reactant and product are discritized…

Aim: To make use of parametric option in order to study the effciency of gate valve by setting up simulation. What isparametric study? A parametric analysis is the study of the influence of different geometric or physical parameters or both on the solution of the problem.All you have to do is to set a list of…

Aim: To perform analysis on cyclone seperator by simulating it in Ansys Fluent and calculating the seperation efficiency and pressure drop. Cyclone seperator: Cyclone separators provide a method of removing particulate matter from air or other gas streams at low cost and low maintenance. Cyclones are somewhat more complicated…

  Aim: The aim of the challenge is to perform a conjugate heat transfer on graphic card and learn various aspects of CHT analysis. Objective: Measure the temperatiure field across the processor which is a heat source in our case. Air is the cooling medium and their is a heat transfer coeffcient between processor…

Aim: The aim of the challenge is to perfrom Rayleigh Taylot Instability simulation for differnt mesh size and also learn the significance of Atwood number. Objective: 1.Perform the Rayleigh Taylor instability simulation for 2 different mesh sizes with the base mesh being 0.5 mm. 2.Run one more simulation with water and…

Aim: The aim of the given challenge is to perform conjugate heat transfer analysis on exhaust port and learn various aspects of CHT analysis. Objective: To simulate the flow through manifolds and its interaction with the solid.Initially inlet fluid is hot and it wil heat the pipe from inside and also their will be heat…

Aim: The aim of the given challenge is to perform external flow simulation over a Ahmed Body and refine the mesh as fine as possible to get accurate results for various physical properties. Ahmed Body: The Ahmed Body was first created by S.R. Ahmed in his research “Some Salient Features of the Time-Averaged…

AIM: The aim of the challenge is to simulate flow over a cylinder and to explain the phenomenon of Karman vortex street. Karman Vortex Street: In fluid dynamics, a Kármán vortex street (or a von Kármán vortex street) is a repeating pattern of swirling vortices, caused…

AIM: The aim of the challenge is to set up mixing tee simulation using Ansys Fluent and check the convergence of the simulation for checking effective mixing of hot and cold air in pipe. Procedure: We have given 2 cases for the given challenge as follows: Case 1  Short mixing tee with a hot inlet velocity of 3m/s. Momentum…

Aim: The objective of the given challenge is to find effect of symmetry boundary condition on the case that we have setup earlier with wedge boundary conditions. we are going to analyze the effect of symmetry boundary condition vs wedge boundary condition. Approach: we have written a matlab program file to generate blockMeshdict…

Aim: The aim of the challenge is to simulate the flow of fluid across the lenghth of pipe. To compare our analytical result with numerical values for the flow velocity. Approach: we have considered only the wedge portion of pipe (angle<5) degree for our simulation to reduce the time and effort. We have considered Hagen…

The finite difference method (FDM) is not valid for more complex geometry as meshing is very complex or sometimes time consuming to be linear. hence we make use of more flexible method called Finite Volume Method (FVM). The key step of the finite volume method is the integration of the transport equation over a three dimensional…

Aim : The aim of the given challenge is to use the OpenFoam to generate the given geometry, apply the suitable boundary conditions, create a accurate mesh and run the simulation succesfully. Given geometry: There are three important steps to run any simulation using OpenFoam: 1) Pre processing: We define the desired gemoetry…

Aim : Simulation of 1D supersonic nozzle flow simulation using Macormack Method   Macormack's mathod: The MacCormack method is a variation of the two step Lax Wendroff scheme but is much simpler in application. To illustrate the algorithm, consider the following first order hyperbolic equation The application…

The 2d heat conduction equation is `(delT)/(delt)+alpha*((del^2T)/(delx)+(del^2T)/(dely))=0` T=temperature along x and y direction, t=time, aplha=thermal diffusivity. A) Steady State : let us first consider the 2D state state part of equation : (del^2T)/(delx)+(del^2T)/(dely)=0' The steady state 2D heat conduction…

In Engineering, ODE is used to describe the transient behavior of a system.  A simple example is a pendulum   The way the pendulum moves depends on the Newtons second law. When this law is written down, we get a second order Ordinary Differential Equation that describes the position of the "ball" w.r.t time. …

Our aim for the challenge is to derive 4th order approximation of 2nd order derivative using central difference, skewed right sided difference and skewed left sided difference. we also need to find 2nd order derivative of analytical function exp(x)*cos(x). Discritization: Numerical discritization is the technique which…