By McGrattan, Kevin; Hostikka, Simo; Floyd, Jason; Baum, Howard; Rehm, Ronald; Mell, William; McDermott, Randall
This 2010 rfile offers the theoretical foundation for the fireplace Dynamics Simulator (FDS), together with the governing equations and the numerical tools used to unravel them. The equations are the low Mach quantity type of the Navier-Stokes equations, solved utilizing huge eddy simulation innovations. The consultant additionally describes thermal radiation, droplet delivery and evaporation, fire-specific detection units, and different info with regards to the numerics of the version.
Read Online or Download Fire Dynamics Simulator (Version 5) Technical Reference Guide, Volume 1 - Mathematical Model PDF
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Additional resources for Fire Dynamics Simulator (Version 5) Technical Reference Guide, Volume 1 - Mathematical Model
Convection of heat is accomplished via the solution of the basic conservation equations. Gains and losses of heat via conduction and radiation are represented by the divergence of the heat flux vector in the energy equation, ∇ · q˙ . This section describes the equations associated with the radiative part, q˙ r . 67) where Iλ (x, s) is the radiation intensity at wavelength λ, s is the direction vector of the intensity, κ(x, λ) and σs (x, λ) are the local absorption and scattering coefficients, respectively, and B(x, λ) is the emission source term.
Heat Release Rate The discussion of the various multi-step reactions above is essentially book-keeping, the accounting of the gas molecules formed in the combustion process. But what of the heat released? When tracking species with two mixture fraction parameters, there is a single step reaction, the conversion of fuel into a fixed, predefined set of combustion products. 63) The amount of fuel in the grid cell is obtained directly from the definition of Z1 whereas the amount of O2 is obtained using the state relationships discussed in the prior section.
2. If combustion is allowed to occur in a grid cell, the single step combustion is assumed to be infinitely fast. Combustion will consume all of either the fuel or the oxygen in the grid cell. In the case of the two-step, three parameter mixture fraction model, the first step converts the fuel to CO and other combustion products, and the second step oxidizes the CO into CO2 . The first step is determined as it is for the single step reaction. The second step, however, is assumed to be rate dependent.