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Energy Balances for Volume Zones—The Radiation Source Term

Energy Balances for Volume Zones—The Radiation Source Term Reconsider a generalized enclosure with N volume zones confining a gray gas. When the N gas temperatures are unknown, an additional set of N equations is required in the form of radiant energy [Pg.35]

The radiative source term is a discretized formulation of the net radiant absorption for each volume zone which may be incorporated as a source term into numerical approximations for the generalized energy equation. As such, it permits formulation of energy balances on each zone that may include conductive and convective heat transfer. For K— 0, GS — 0, and GG — 0 leading to S — On. When K 0 and S = 0N, the gas is said to be in a state of radiative equilibrium. In the notation usually associated with the discrete ordinate (DO) and finite volume (FV) methods, see Modest (op. cit., Chap. 16), one would write S /V, = K[G - 4- g] = Here H. = G/4 is the average flux [Pg.35]

Implementation of Eq. (5-152) necessitates the definition of two additional symmetric N x N arrays of exchange areas, namely, gg = [gi ] GG= [G,G,]. In Eq. (5-152) VI = [ Vj-8,] is an NxN diagonalmatrix of zone volumes. The total exchange areas in Eq. (5-151) are explicit functions of the direct exchange areas as follows Surface-to-gas exchange [Pg.35]

The matrices gg = [g g, and GG = [G,Gf] must also satisfy the following matrix conservation relations  [Pg.35]

Direct exchange areas 4KVI1n = gs liw + gglw (5-154zr) [Pg.35]


Energy Balances for Volume Zones—The Radiation Source Term. . 5-35... [Pg.688]




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Balanced sourcing

Energy balance

Energy balancing

Energy sources

Energy sources source

Energy zones

For volume

Radiation balance

Radiation energy

Radiation energy balance

Radiation sources

Radiation zone

Source term

THE SOURCES

The Energy Balance

The Radiation Source

Volume terms

Volume zone

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