Study of numerical methods to perform steady state analysis and transient state analysis of 2 Dimensional Heat Conduction problem

Now to understand the difference in the formula of variance for population size and sample, first understand the purpose of sample and population of data. Lets just say we wish to find out average hours of watching TV per day in a country. Now to find out this average one would nedd to go door to door to get the data for…

Finite Volume MethodThis method involves descretizing the domain into finite number of control volumes. Then solving the governing differential equations for each Control Volume to solve the problem for the entire domain. One of the major difference between Finite Difference method and Finite volume method is the way the…

The Derivation of Hagen-Poissuille flow and simulation of fluid flow in pipe using wedge boundary condition is done in the project with the linkSimulation of fluid flow in pipe using wedge boundary conditionWedge boundary condition:-Wedge boundary condition is excellent for axisymmetric geometry but facilitates only for…

Hagen Poiseuille Flow It is of utmost importance to develop formula for pressure difference for laminar flow in the pipe. Reynolds number is the number which determines the characteristics of the fluid flow in a pipe and hence pressure difference formula has to be derived such that it is a function of Reynolds number.This…

In this challenge CFD simulation will be performed using OpenFoam. IcoFoam is a solver which solves incompressible navier stokes equation for a flow in consideration. Here a stepped gap between plates will be used as a subject in which flow will be simulated. While performing the simulation scaling factors will be tested…

Before a simulation is run, it is important to ascertain the governing differential equation for the phenomena. Since it has to be run for one dimensional orientation, the G.D.E(Governing Differential Equation) will be transformed into one dimensional form.So as it is known that there are three form of conservation equations…

Steady state AnalysisKey to attempting any analysis, is first ascertaining the differential equation that defines the physical phenomena.Since it is steady state analysis of 2-Dimensional Heat Conduction, therefore the differential equation defining it is:-`((delta^2(T))/(delta(x)^2) +(delta^2(T))/(delta(y)^2))=0` It has…

Taylor table method has proven to be effective and less clumsy method to derive numerical schemes for different order of derivatives.In the challenge,it is given to derive central and skewed schemes of 2nd order derivative,so one by one they will be derived and respective functions will also be crafted along with each…