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2D Steady Conduction - Panel
2D Steady Conduction - Panel

Physics Setup

Material Properties

...

At this point, the material, "Cornellium", will be assigned to the geometry. Then, ANSYS will know the value of k, the coefficient of thermal conductivity, to use in the boundary value problem. To assign the material, expand Geometry, Image Added, in the tree outline. Next, click on Surface Body, Image Added. Then set Assignment to Cornellium in the "Details of Surface Body" table, as shown below.

Image Added

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https://confluence.cornell.edu/download/attachments/146918515/SetMatProp.PNG

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Adiabatic Boundaries

The top and left edges of the rectangular domain are perfectly insulated. In order to incorporate these boundary conditions, first (Right Click) Steady-State Thermal > Insert > Perfectly Insulated, as shown below.

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https://confluence.cornell.edu/download/attachments/146918515/PerfIns_Full.png

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Next,

...

hold

...

down

...

Control

...

key

...

and

...

click

...

on

...

the

...

top

...

and

...

left

...

edges

...

of

...

the

...

rectangle.

...

Holding

...

down

...

the

...

Control

...

key

...

lets

...

you

...

select

...

multiple

...

items.

...

Then,

...

(Click)

...

Apply

...

in

...

the

...

"Details

...

of

...

Heat

...

Flow"

...

table.

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Isothermal

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Boundary

The bottom edge of the rectangular domain has a constant non-dimensional

...

temperature

...

of

Wiki Markup
{latex}$\theta${latex}
=1.

...

Recall

...

that

...

we

...

are

...

specifying

...

the

...

dimensional

...

problem

...

in

...

ANSYS

...

such

...

that

...

the

...

dimensional

...

and

...

non-dimensional

...

values

...

of

...

temperature

...

are

...

the

...

same.

...

To

...

implement

...

this

...

boundary

...

condition,

...

(Right

...

Click)

...

Steady-State

...

Thermal

...

>

...

Insert

...

>

...

Temperature

...

,

...

as

...

shown

...

below.

Image Added

newwindow
Click Here for Higher Resolution
Click Here for Higher Resolution
https://confluence.cornell.edu/download/attachments/146918515/InsTemp_Full.png

...



Next,

...

click

...

on

...

the

...

bottom

...

side

...

of

...

the

...

rectangle

...

and

...

(Click)

...

Apply

...

in

...

the

...

"Details

...

of

...

Temperature"

...

table.

...

Then,

...

set

...

Magnitude

...

to

...

1

...

degree

...

Celsius

...

as

...

shown

...

below.

Image Added

newwindow
Click Here for Higher Resolution
Click Here for Higher Resolution
https://confluence.cornell.edu/download/attachments/146918515/SetTemp_Full.png

...



Convective Boundary

The right side of the rectangle has a convection boundary condition. To implement this boundary condition, (Right Click) Steady-State Thermal > Insert > Convection , as shown below.

Image Added

newwindow
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Click Here for Higher Resolution
https://confluence.cornell.edu/download/attachments/146918515/InsConv_Full.png

...



Next,

...

click

...

on

...

the

...

right

...

side

...

of

...

the

...

rectangle

...

and

...

(Click)

...

Apply

...

in

...

the

...

"Details

...

of

...

Convection"

...

table.

...

Then,

...

set

...

the

...

Film

...

Coefficient

...

(i.e.

...

convection

...

coefficient,

...

h

...

)

...

to

...

5

...

W/(m^2

...

C)

...

and

...

set

...

the

...

Ambient

...

temperature

...

to

...

0

...

degrees

...

Celsius,

...

as

...

shown

...

below.

...

As

...

we

...

saw

...

in

...

Pre-Analysis

...

,

...

these

...

dimensional

...

settings

...

correspond

...

to

...

a

...

Biot

...

number

...

of

...

5.

Image Added

newwindow
Click Here for Higher Resolution
Click Here for Higher Resolution
https://confluence.cornell.edu/download/attachments/146918515/DetConv_Full.png

...



This concludes the setup of the boundary value problem. We can move on to obtaining a numerical solution.

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