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Simplified Forms of the General Energy Equation

Here n represents the direction normal to the wall, x, is a convective heat transfer coefficient, is the temperature of the wall, and 7], is the fluid temperature in the immediate vicinity of the wall. The right-hand side of Eq. 7.2.d-1 would be zero for an adiabatic reactor. Equation 7.2.C-2 then becomes, when averaged over cylindrical geometry, with diameter d. [Pg.358]

An important point is that the z component of the condition term retains its identity, in terms of averaged variables, but the x and y components are integrated out with the wall boundary condition, Eq. 7.2.d-l, which is now written  [Pg.358]

This is the energy equation for a single-phase tubular reactor with plug flow. Note that Eq. 7.1d-4 is coupled with the continuity equation, mainly by the reaction term, but also through the heat capacity term on the left-hand side. The latter is sometimes written in terms of a specific heat that is averaged with respect to temperature and composition, that is, Yj = c,. [Pg.359]

A rigorous macroscopic energy balance is found by integrating over the entire reactor volume  [Pg.359]

1 Write Eq. 7.2.a-6 in terms of the extent of the ith reaaion per unit mass of the reaction mixture, defined by [Pg.360]


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