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<p> In very high resolution galaxy simulations, the supercomputers of today offer the possibility of enough resolution to capture the bubble of a supernova, though not the originating star itself. Modeling the energy released as originating from a single SPH particle initially arranged amongst a grid of particles requires the introduction of an artificial thermal conductivity term that allows the SPH method to resolve the thermal energy discontinuity inherently present in such a scenario. Such an artificial thermal conductivity is implemented in the SPH code GASOLINE. Resolution tests show that the method is insensitive to resolution changes when determining the radius of the Sedov-Taylor blast wave, and that the numerical solution agrees with the analytic prediction R = βE^1/5ρ0^-1/5t^2/5. The peak density at the shock is lower than the actual value of four times the ambient density, though it is found to scale with resolution. The density of the interior of the shock, near the center of the supernova remnant is found to be elevated compared to the value expected from the Sedov-Taylor solution, but this too is resolution dependent, and with increased resolution the central density converges towards the expected value of zero. The fluid quantities pressure and velocity are also found to be in good agreement with the profiles predicted by the analytic solution.</p> / Thesis / Master of Science (MSc)

no / The coupling between natural convection and conduction within rectangular enclosure was investigated numerically. Three separate heat sources were flush mounted on a vertical wall and an isoflux condition was applied at the back of heat sources. The governing equations were solved using control volume formulation. A modified Rayleigh number and a substrate/fluid thermal conductivity ratio were used in the range 10^4 −10^7 and 10−10^3 respectively. The investigation was extended to examine high thermal conductivity ratio values. The results illustrated that, when Rayleigh number increased the dimensionless heat flux and local Nusselt number increased and the boundary layers along hot, cold and horizontal walls were reduced significantly. An opposite behaviour for the thermal spreading in the substrate and the dimensionless temperature, were decreased for higher Rayleigh number. Moreover, the thermal spreading in the substrate increased for higher substrate conductivity, which affected the temperature level. However the effect of the substrate is negligible when the thermal conductivity ratio higher than 1,500. / The full text of book chapters are not available for self deposit under the Publisher's copyright restrictions.

Yes / In this study, the thermal performance analysis of porous fin with temperature-dependent thermal conductivity and internal heat generation is carried out using Haar wavelet collocation method. The effects of various parameters on the thermal characteristics of the porous fin are investigated. It is found that as the porosity increases, the rate of heat transfer from the fin increases and the thermal performance of the porous fin increases. The numerical solutions by the Haar wavelet collocation method are in good agreement with the standard numerical solutions.

Yes / In this paper, the Chebychev spectral collocation method is applied for the thermal analysis of convective-radiative straight fins with the temperature-dependent thermal conductivity. The developed heat transfer model was used to analyse the thermal performance, establish the optimum thermal design parameters, and also, investigate the effects of thermo-geometric parameters and thermal conductivity (nonlinear) parameters on the thermal performance of the fin. The results of this study reveal that the rate of heat transfer from the fin increases as the convective, radioactive, and magnetic parameters increase. This study establishes good agreement between the obtained results using Chebychev spectral collocation method and the results obtained using Runge-Kutta method along with shooting, homotopy perturbation, and adomian decomposition methods.

Yes / This study aims to evaluate the impacts of using thermally enhanced concrete on the thermal performance of geoenergy structures and interaction between the thermo-active-structures and adjacent dry and partly saturated soils. Experiments using a fully instrumented testing rig were carried out on prototypes of energy pile and diaphragm wall made from normal concrete and thermally enhanced concrete by the addition of graphTHERM powder. Results illustrated that adding 36% of graphTHERM powder to the concrete by weight of cement was found to double the thermal conductivity of concrete and improve the stiffness by 15% without detrimental effects on the compressive strength. The heat transfer efficiency of energy pile and energy diaphragm wall made from thermally enhanced concrete was significantly improved by 50% and 66% respectively, in comparison with the efficiency of the same type of energy structure that was made from a typical normal concrete.