Using Green's function method, analytical solutions to transient fully developed natural convection in an open-ended vertical porous channel are presented. Four fundamental boundary conditions have been investigated and the corresponding fundamental solutions are obtained. These four fundamental boundary conditions are obtained by combining each of the two conditions of having one boundary maintained at uniform heat flux or at uniform wall temperature with each of the conditions that the opposite boundary is kept isothermal at the inlet fluid temperature or adiabatic. Expressions for the transient fully developed volumetric flow rate the, mixing cup temperature and the local Nusselt number are given for each case. These fundamental solutions may be used to obtain solutions satisfying more general thermal boundary conditions.

     This paper details a study of the combined forced and free convection boundary layer flow of a viscous, incompressible and electrically conducting fluid along a vertical porous plate in the presence of transverse magnetic field. Numerical solutions of the local non-similar boundary layer equations governing the flow and energy are obtained by employing an implicit finite difference approximation together with the Keller box method. The results thus obtained are compared with perturbation solutions in terms of both the local rate of heat transfer and the local surface shear stress for different physical parameters. The dimensionless velocity and temperature functions in the flow are also presented.

     Fundamental solutions have been obtained for a fluid-saturated, isotropic, poroelastic, infinite solid having zero permeability in one direction for an instantaneous fluid point source and instantaneous point forces in and perpendicular to the zero-permeability direction. The solutions are aimed at their application to simulation of the waterf looding in low permeability oil reservoirs, one of the techniques to enhance oil recovery. Zero permeability in one direction may be a good approximation because the flow of oil or injected water predominates in the horizontal direction. Furthermore, this assumption may dramatically simplify expected applications because it eliminates the adverse contributions of the bounding surfaces of the reservoir to complexity in crack analyses.

     An experimental investigation was carried out on the influence of the leading edge contamination upon the flow field on a swept flat plate. A leading edge flow separation was produced to simulate the edge contamination problem. The development of the attached boundary layer downstream of the separated flow region has been studied through the mean flow parameters. A rather classical method of measurement by means of pressure probes was used in the investigation. Based on the growth characteristics of the attached boundary layer, the critical conditions representing the origin of turbulent flow on the plate have been estimated.

     A new model of the blood flow rate has been developed. The approach is based on the principle of time-temperature superposition widely used in chemical physics and polymer rheology. For the blood perfusion, this idea is valid under the following assumptions: (I) the structure of a system does not experience qualitative changes during the treatment, and (II) the blood flow variation is predominantly controlled by a single mechanism. Numerous experimental data on changes in the blood flow under isothermal conditions have been used to derive a mathematical model for the blood flow rate variation in time during heating. Computer modelling of heat transfer processes performed on the basis of the developed model have revealed the influence of the heating regime on the temperature evolution in the malignant and normal tissues. The results obtained explain a great number of effects observed experimentally in hyperthermia, e.g. complicated evolution of temperature field under constant?power microwave heating, a higher temperature of malignant tissue than that of normal tissue, etc.

     An analysis is presented based upon the Chebyshev approximations for the boundary layer flow of a viscoelastic fluid over a porous plate. The technique reduces the problem to a system of non-linear equations in the highest-order derivatives which were solved by Newton's iterations.

     A theoretical model based on the energy method was developed in the present study to derive a closed-form solution for the calculation of the restraining force produced by drawbeads used in a stamping process. In this model, the deformation of the sheet-metal drawn over a drawbead is characterized by bending, sliding and unbending processes. In order to include the friction effect in the calculations, a simple friction model was also proposed in the present study. Under the frictionless condition, the theoretical model slightly overestimates the restraining force when compared with that obtained from the finite element simulations, but renders the calculated values in better agreement with the experimental data. For the frictional case, the calculated values agree reasonably well with the finite element results. The proposed model is therefore justified.

     Investigations of aerodynamics of gas-solid flow in riser reactors designed for coal pyrolysis or for catalytic cracking higher boiling olefins and paraffin in semi-industrial scale have been carried out. A theoretical model based on differential equations for momentum balance of the gas-solid mixture, momentum balance of the solid phase and continuity equations for both the gas and the solid phase has been proposed. This method of description of gas-solids flow follows the approach of Arastoopour and Gidaspow but takes into account the solid-wall friction and stream expansion as it was done by Kmieć and Leschonski for injectors. Integration of differential equations has been performed by Gear's method. The effect of different empirical correlations for the solid-wall friction factor has been shown. Distributions, resulting from the model, for pressure, gas velocity, particle velocity, voidage and residence time of particle along the axis of apparatus have been presented.