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Aaron Den Boer - 701 Seminar - November 20 2012 - Course Notes

Aaron Den Boer - 701 Seminar - November 20 2012 - Course Notes

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Convective Fluid<br />

• There are two types of convection that must be considered:<br />

1. Natural Convection<br />

o<br />

the dissolving solid will develop concentration gradients near the<br />

interface, forming a density gradient in the liquid<br />

1/4<br />

Sh<strong>20</strong>.59 Grm<br />

Sc<br />

R<br />

final<br />

dt<br />

N 3/4<br />

C<br />

C R <br />

Natural<br />

R<br />

0<br />

RdR<br />

1 2 0<br />

t<br />

final<br />

2. Forced Convection<br />

o A velocity field is applied and fixed externally on a system<br />

Sh<strong>20</strong>.6Re<br />

Sc<br />

1/2 1/3<br />

R<br />

final<br />

dt<br />

F 1/2<br />

C<br />

C R <br />

Forced<br />

R<br />

0<br />

RdR<br />

final<br />

1 2 0<br />

t<br />

<strong>20</strong>

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