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The fuel, methane (CH4), is injected in each injector as an ideal gas with the mass flow rates mentioned before. The solution is performed for an ideal gas reacting mixture of air and methane. The combustion is simulated based on the Eddy Dissipation Model (EDM). This turbulence-chemistry interaction model is based on the work of Magnussen and Hjertager [89]. The Eddy Dissipation model tracks each individual chemical species with its own transport equation and is very suitable for fast combustion modeling. This model is flexible in that new materials, such as additional fuels, can be added to the simulation without complications [88]. For the turbulence simulation, the shear stress transport (SST) k-ω model is utilized along with automatic wall function. This model is based on the turbulent viscosity proposed by Menter [90] which adds a cross diffusion term in the ω-equation. In many cases, SST model shows a better performance compared to the standard k-ε model [91]. For the energy equation, the total energy model is utilized which accounts for the kinetic energy effects in the equation. These effects are significant in the current flow conditions which represent a compressible flow with high Mach number. For numerical discretization of the momentum and energy equations, the CFX advection scheme of High Resolution is used along with an automatic timescale. The high resolution scheme uses a blend factor to combine the first and second order advection schemes. The blend factor values vary throughout the domain based on the local solution field [88]. Each solution cycle is defined by the third stage rotor blade passing through 1 pitch and it is divided into 20 timesteps. The convergence criteria require the global root mean square residuals for momentum and energy equations to reach values below 10-5. The unsteady solution initiates upon the 51PDF Image | DEVELOPMENT OF AN ULTRA-HIGH EFFICIENCY GAS TURBINE ENGINE (UHEGT
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