Coal firing power stations represent the second largest source of global NOx emissions. The current practice of predicting likely exit NOx levels from multi-burner furnaces on the basis of single burner test rig data has been proven inadequate. Therefore, to further improve current NOx reduction technologies and assist in the assessment of NOx levels in new and retrofit plant cases, an improved understanding of the impact of burner interactions is required. The aim of this research is two-fold: firstly, to experimentally investigate isothermal flow interactions in multi-burner arrays for different swirl directions and burner pitches in order to gain a better understanding of burner interaction effects within multi-burner furnaces. Secondly, to carry out numerical modelling in order to determine turbulence models which give the best agreement to experimental data. Experimental investigations were carried out using flow visualisation for qualitative and 3D laser Doppler anemometry for quantitative measurements. Numerical modelling was performed using the computational fluid dynamics software, Fluent, to compare performance between k-ε, k- ω and RSM turbulence models. Experimental investigation showed that the recirculation zone of the chequerboard configuration is more sensitive to the change in pitch than that of the columnar configuration. Further, it was found that the smaller pitch is more sensitive to change in configuration than the wider pitch. The analysis of fluctuating components, u’, v’ and w’ showed that the burner flow is highly anisotropic at burner exit. Numerical investigation showed that the k-ω turbulence model consistently performed below the other two models. The statistical comparison between k-ε and RSM turbulence models revealed that, for prediction of the swirl velocity profiles, the RSM model overall performed better than the k-ε turbulence model. The visual and statistical analyses of turbulent kinetic energy profiles also showed that the RSM turbulence model provides a closer match to the experimental data than the k-ε turbulence model.

The aim of this graduation thesis is to investigate whether it is possible to design a fluid machine that would utilize a flow resulting from different densities of processing medium, to generate electricity. The thesis focuses on the determination of relations that have influence on the efficiency. The parametres influencing the degree of efficiency have been analyzed. The aim is to reach the highest possible degree of efficiency. Depending on the results, a suitable processing medium can be selected. Within the scope of the thesis, an experiment had been proposed that verified the ground principle of the non-isothermal flow occurence. In conclusion, the outcomes are evaluated with the view of a prospective further developement of the device.

Ce travail de thèse a pour but d'étudier des écoulements non stationnaires de fluides incompressibles Newtoniens et non isothermes. Le problème est décrit par les lois de conservation de la masse, de la quantité de mouvement et de l'énergie. Nous nous intéressons au couplage entre le système de Navier-Stokes et l’équation de la chaleur hyperbolique (le résultat de la combinaison entre la loi de conservation d'énergie et la loi de Cattaneo). Cette dernière est une modification de la loi de Fourier utilisée habituellement, elle permet de surmonter « le paradoxe de la chaleur » et d'obtenir une description plus précise de la propagation de la chaleur. Le système couplé est un problème hyperbolique-parabolique dont la viscosité dépend de la température, alors que la capacité thermique et le terme de dissipation dépendent de la vitesse. Afin d’obtenir un résultat d'existence de solutions du problème couplé, nous démontrons d'abord l'existence et l'unicité de la solution du problème hyperbolique puis nous introduisons une discrétisation en temps et nous étudions la convergence des solutions approchées vers celles du problème original. Dans un deuxième temps nous étudions l'existence et l'unicité de la solution du système de Navier-Stokes muni des conditions aux limites de type Tresca puis de type Coulomb en dimension 2 et 3. Dans le chapitre 3, nous proposons une discrétisation en temps du problème d'écoulement dans le cas de la condition au limite de type Tresca et nous établissons la convergence des solutions approchées. Le dernier chapitre de ce mémoire est consacré à l'étude du problème couplé dans le cas de conditions aux limites de type Tresca. L'existence d'une solution est obtenue par un argument théorique de point fixe en dimension 2 et également par une méthode de discrétisation en temps qui conduit à résoudre sur chaque sous intervalle de temps un problème découplé pour la vitesse et la pression d'une part et la température d'autre part / The main objective of this thesis is to study nonstationary flows of incompressible Newtonian and non isothermal fluids. The problem is described by the laws of conservation of mass, momentum and energy. We consider the coupling between the Navier-Stokes system and the hyperbolic heat equation (the result of combination between the law of conservation of energy and the Cattaneo’s law). This one is a modification of the commonly used Fourier's law, it overcomes "the heat paradox" and gives a more accurate description of heat propagation. The coupled system is an hyperbolic-parabolic problem where the viscosity depends on the temperature but the thermal capacity and the dissipative term depend on the velocity. To obtain an existence result for the coupled system, we first prove the existence and uniqueness of the solution of the hyperbolic problem then we introduce a time discretization and we study the convergence of the approximate solutions to those of the original problem. In the second chapter, we study the existence and uniqueness of the solution of Navier-Stokes system with Tresca or Coulomb boundary conditions in dimension 2 and 3. In the third chapter, we propose a time discretization of the flow problem in the case of Tresca boundary conditions and we establish the convergence of the approximate solutions. The last chapter is devoted to the study of the coupled problem in the case of Tresca free boundary conditions. The existence of a solution is obtained by a theoretical argument (fixed-point theorem) in dimension 2 and also by a method of time discretization leading, on each time subinterval, to a decoupled problem for the velocity and pressure of a hand and the temperature of the other hand

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