# Simultaneous Heat and Moisture Transfer in a Porous Cylinder

Simultaneous Heat and Moisture Transfer in a Porous Cylinder

This Demonstration illustrates a model of heat and moisture transfer accompanied by phase change in a porous cylinder. The porous cylinder is initially at a constant temperature and moisture. It is suddenly placed in contact with a stream of hot air that exchanges heat and moisture by diffusion and convection. The moisture movement and the phase change occurring within the cylinder generate a coupled relationship between mass and heat transfer.

The governing equations [1] for this model are the Luikov equations:

∂T

∂t

1

r

∂

∂r

∂T

∂r

∂U

∂t

∂U

∂t

1

r

∂

∂r

∂U

∂r

1

r

∂

∂r

∂T

∂r

Here and are temperature and moisture potential, respectively, is the space coordinate, is time, and are positive coupling coefficients determined by moisture and heat migration, respectively, and and represent the temperature and moisture diffusion coefficients.

T

U

r

t

ℒ