The thermal performance of a laboratory-scale salt gradient solar pond
has been modeled as a one-dimensional unsteady conduction heat transf
er problem with hea generation. The pond is assumed to be cut into hor
izontal slices and finite difference heat balance equations are solved
simultaneously to predict the temperature of each slice at any time.
The initial conditions were the temperature profile data. The boundary
conditions were determined by studying the heat balance at th ebottom
of the pond and by assuming the pond surface temperature to be equal
to the ambient temperature. Solar radiation attenuation is calculated
by the Bryant and Colbeck formula. A computer program is constructed t
o perform the calculations. In addition, Kooi's model was compared wit
h our model. Similarly the salinity behavior was studied by writing th
e one-dimensional differential mass balance equation over a small slic
e with the appropriate boundary and initial conditions. The resultant
set of linear equations was solved simultaneously for the unknown new
concentrations. A computer program has been constructed to perform the
calculations. Fair agreement between experimental and predicted profi
les was obtained.