Krzysztof Kupiec

Kinetic curves for multiple reactions have been determined by the means of the Monte Carlo method. Both reversible and nonreversible parallel, series, series-parallel and autocatalytic reactions have been taken under consideration. The complete consistency between results of stochastic calculations and results obtained with the use of deterministic models has been shown.

The paper refers to the kinetics of batch adsorption in a perfect mixing reservoir. Systems
with a linear adsorption equilibrium, spherical adsorbent pellets and mass transfer resistance
in both phases are considered. An approximate kinetic model, based on approximation with
the use of continued fractions, was used in calculations. It was found that the model gives
results consistent with the exact solution.

A mathematical model of water cooling in a vertical tank with non-uniform initial temperature has been presented in this paper. This kind of process is important in solar installations. Calculation results for various cases comprising, among others, two or three layers of water with different initial process temperatures as well as various combinations of heat resistance of the side wall, the tank bottom and the tank cover, have been given as well.

The results of calculations of the heat transfer in a horizontal ground heat exchanger are presented. The applied model is based on a one-dimensional equation of the transient heat conduction with an internal heat source. The model was correctly verified by comparison of computational results and experimental measurements presented in literature. Thermal calculations concerning heat transfer in the ground under natural conditions are also presented.

The need to keep up a constant body temperature forces on man both the conditions of staying as well as limitations of staying time in cold and hot microclimate. The factors influencing the heat transfer between the man and the surroundings are: the metabolic rate, clothing thermal insulation properties and physical parameters of surroundings (air temperature, humidity and velocity as well as heat radiation temperature). This paper deals with conditions and limitations of staying for man in cold microclimate. Results of applicable calculations have been presented graphically.

This paper concerns the basics of modelling ground heat exchangers. Several specific cases were described, for which computational dependencies and calculation results were presented. Models based on analytical solutions were considered as well as models that use computer applications based on numerical calculations.

Computational models for adsorption in a tank are presented. The approximate model provides the same results as the exact model. The diffusion coefficient of a dye in an adsorbent pellet and the mass transfer coefficient in a fluid phase were determined on the basis of the measurements of dye adsorption on the activated carbon. It was determined how the fraction of the resistance to mass transfer in the fluid to the overall mass transfer resistance changes during adsorption. It was found that, for the examined system, the main resistance to mass transfer is located in the liquid phase.

The results of the numerical simulation of heat conduction in ground with a horizontal, tubular (parallel pipes) heat exchanger installed are presented in this paper. On the basis of analysis of courses of temperature isolines in the ground, a simplified mathematical heat transfer model in a horizontal ground exchanger was developed. The ground thermal diffusivity was assumed to be a variable of location. On the basis of the model, the temperature profiles in the ground with a heat exchanger installed were determined.

Simple cases of heat conduction in the ground are presented. Systems without interaction with the ground surface are considered. For heating or cooling of the ground by a flat slab, an analytical solution was used. Heat transfer between the ground and a single pipe and several parallel pipes is also considered. In these cases, a numerical solution was used. The analysed problems are of practical importance for modelling and simulation of ground heat exchangers cooperating with heat pumps.

The aim of this work is to present the results of studies on heat and mass transfer in an adsorber, which is the main part of an adsorption chiller. The paper refers to adsorption of water vapor on silica gel grains. Adsorbent grains were coated on the outer surface of a copper pipe. The influence of grains diameter and flow rate of the gas phase on process intensity was considered.

Temperatura gruntu zmienia się z głębokością oraz w czasie. Zmienność czasowa ma charakter harmoniczny. Równanie opisujące zmiany temperatury gruntu zawiera cztery parametry: średnioroczną temperaturę powierzchni gruntu, roczną amplitudę temperatury powierzchni gruntu, kąt fazowy oraz dyfuzyjność cieplną gruntu. Na podstawie wyników pomiarów przedstawionych w literaturze wyznaczono parametry równania kombinowaną metodą opierającą się na regresji liniowej, opisaną w literaturze. Metoda ta prowadzi jednak do otrzymania niejednoznacznej wartości współczynnika dyfuzyjności cieplnej. Stwierdzono, że znacznie lepsze wyniki daje metoda regresji nieliniowej, prowadząc do otrzymania dokładnych i jednoznacznych wartości wszystkich parametrów równania. 

The ground temperature changes with depth and time. Time variability is considered as a harmonic function. The equation describing changes of the ground temperature contains four parameters: the average annual  temperature of the surface of the ground, the annual amplitude of the temperature of the ground surface as well as the phase angle of the temperature and thermal diffusivity of the ground. Based on the results of the measurements presented in the literature, the parameters of the equation using the combined method on the basis of linear regression, described in the literature, were determined. This method, however, leads to an ambiguous value of the thermal diffusivity. It was found that the nonlinear regression method gives much better results, leading to obtaining precise and unambiguous values of all parameters of the equation.

A mathematical model of a ground heat exchanger cooperating with a heat pump was presented. The model is based on a one-dimensional heat conduction equation with an internal heat source. On the basis of the solutions to the model equations, both the temperature distribution of different types of ground at different times of year as well as the time courses of temperature at different depths are shown. Calculations based on the presented model can be useful for the simulation and design of this apparatus.

The paper summarizes the results of tests of separation of oil-in-water emulsions with the application of novel organic deemulsifiers. Fresh and used emulsions of different concentrations were tested. The manipulated variables were: the concentration of oil in the emulsion; the concentration and amount of deemulsifier solution; the temperature. The results of these tests are presented graphically.