Freezing front penetration-time dataset for a one-dimensional food slab

The data set consists of three files : 1) "FreezingFront(1500dataset)" file tabulates 1500 data points of the freezing front for a one-dimensional food slab. The purpose of these computer-simulated data was to furnish reference data for improving the accuracy, via nonlinear regression, of a parameterized-approximate analytical model of the moving boundary in freezing of a food slab. Freezing front data were generated by a finite difference numerical simulation solving the energy partial differential equation. The latter was formulated with convection at one surface, as well as temperature-dependent thermal conductivity and effective heat capacity. The freezing front was detected, as it progressed from node to node, once the temperature fields were calculated. The data domain is defined by a number of food and cooling system properties. These were: Biot number ( 19 levels), a food dimensionless thermal conductivity parameter (4 ), a dimensionless latent heat number (4), a dimensionless cooling temperature (5), and a dimensionless front penetration depth (7). The combination of factors was done by blocks. Each factor combination included the 7 freezing front depth locations. 2) "Sensitivities(1200)" file tabulates a 1200 data-point of the freezing-front penetration-time sensitivies driven by independent perturbations of thermal conducitivity parameter K and dimensionless latent heat (lambda), as affected by Biot number, lambda, Psi (cooling temperature), and K. The penetration time sensitivities are relative uncertainties normalized with respect to relative deivations in K and also in lambda. Sensitivities allowed quantifying the effects of perturbations of temperature dependent thermal conductivity and effective heat capacity on the front penetation time, by mapping the latter against input quantities such as Biot number and cooling temperature. 3) "JointSensitv(42)" file tabulates a 42 data-point joint sensitivity set, that captures the simultaneous effects of K and lambda perturbations on the freezing-front penetration time, as affected by Biot number and Psi; K was centered set at 0.5 and lambda at 105. These joint sensitivity data were genereated via MonteCarlo simulations assuming thus, an stochastic effect of the simultaneous influence of K and lambda.