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arushi saxena edited this page Apr 3, 2017 · 1 revision

Welcome to the 2D-Heat-Convection-by-FDM wiki!

Introduction

This program solves for the 2-D fluid convection in a Box due to an initial temperature perturbation using finite difference method over a regular grid.

Governing Equations

For simplicity, the fluid is assumed is assumed incompressible, Newtonian and slowly convecting. The modified Stokes (1 and 2 ), Continuity Equation (3) and convection are:

[Equations] (https://www.dropbox.com/s/k46coz2ebs5u3rq/equations.png?dl=0)

Units

Our code itself has no internal knowledge of units. which means the user has the freedom to choose a preferred units system, as long as they are consistent. Also, the user may have to scale the units to make the solver work.

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