Author(s): Sebastian Vecchi, ANSYS Inc.

Problem Specification

1. Pre-Analysis & Start-Up

2. Geometry

3. Mesh

4. Physics Setup

5. Results

6. Verification & Validation

__Pre-Analysis & Start Up__

## Governing Equation

The following nondimensional equations govern conservation of mass and momentum.

These equations can be combined in order to create a governing equation that will dictate the flow in our lid-driven box. Below is the equation which was created when combining the above.

The terms on the left govern the net convection flow in the volume while the terms on the right govern net diffusion, with the exception of S which represents source generation of the flow.

## Reynold’s Number

Using the equation below, the Reynolds number can be calculated for the problem. This will allow us to predict how the flow will behave inside the box before running the simulation. It is specified in the problem that the inside length of the box is 0.1 m and the speed of the lid is 1 m/s. Since the fluid inside of the box is water, the density is 997.05 kg/m^3 and the viscosity is 0.00089002 N*s/m^2. These values can be found online or later on in the Material properties section of the Physics template.

The resulting value from the Reynolds number calculation indicates that the flow will be turbulent and will produce multiple eddies.

A few words on the formatting on the following instructions:

Notes that require you to perform an action are colored in blue

General information will be colored in black, but do not require any action

Words that are

**bolded**are labels for items found in ANSYS AIMMost important notes will be colored in red

## Start-Up

Now that the pre-calculations are finished, we are ready to begin the simulation in ANSYS AIM. Open ANSYS AIM by going to **Start** > **All Apps** > **ANSYS 18.1** > **ANSYS AIM 18.1**. Once the starting page has opened, select the **Fluid Flow** template as shown below.

You will be prompted by the **Fluid Flow** template to either **Define new geometry**, **Import geometry file**, or **Connect to active CAD session**. Select **Define new geometry**, press **Next**, then press **Finish**.