Modern Developments in Heat Transfer by Warren Ibele

By Warren Ibele

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Connects the concentration of a particular chemical substance with the enthalpy by means of an equation in which the former is the dependent and the latter the independent variable. The laminar stagnation point. Figure 2 illustrates the flow near a stagnation point and introduces some of the requisite notation. ,48)t and first discussed explicitly by Fay and Riddell {20). HEAT TRANSFER FROM CHEMICALLY REACTING 35 GASES where: η = \^{ρα/μο){άη /άχ) J* (p/p ) 0 G (17) dy and: the ω-function is deducible by means of the techniques of bound­ ary-layer theory (4b~), UQ is the velocity in the as-direction just outside the boundary layer, p& and μα are respectively the density and viscosity of the gases there, while dua/dx is a constant deducible from the shape of the whole body, the velocity of the approach stream, and other factors.

8. The physical interpretations of the above conclusions are all obvious; qualitatively indeed the conclusions could be deduced from the work of Hirschfelder (25) and Hirschfelder and Secrest (26). The present con­ tribution differs from the earlier ones primarily in the following points: both heterogeneous and homogeneous reactions are considered; a general analytical solution is obtained; and the Lewis number is taken as unity. Of course, it is the latter restriction which makes possible the general analytical form.

The temperature of the interface, t , the distribu­ tion of G in the vicinity of the interface, and the state of the fluid in the bulk of the stream; the existence of suitable information is tacitly assumed below. The general case. When the Lewis number cannot be taken as unity, our differential equations are (4) and ( 5 ) ; E q . (9) is not valid. Equation (4), it must be observed, really represents a set of equations, one for each chemical substance. Now all these equations must be solved simultaneously; for my is linked with m and temperature via the chemi­ cal-kinetic equation (14), and h and t are linked with all the ra/s in E q .

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