By Prof. Dr. L. P. Yarin, Prof. Dr. G. Hetsroni (auth.)
Combustion of Two-Phase Reactive Media addresses the complicated phenomena concerned about the burning of stable and liquid fuels. in truth, the multiplicity of phenomena attribute of combustion of two-phase media make sure the contents. the 3 components care for: the dynamics of a unmarried particle; combustion wave propagation in two-phase reactive media; and thermal regimes of combustion reactors. The e-book generalizes the results of various investigations of ignition and combustion an exceptional debris, droplets and bubbles, combustion wave propagation in heterogeneous reactive media, balance of combustion of two-phase media, in addition to the thermal regimes of high-temperature combustion reactors. It merges findings from the authors’ investigations into difficulties of two-phase flows and fabric from graduate-level classes they educate at Technion-Israel Institute of Technology.
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This results from the shift of the separation point towards the rear stagnation point. Over a range of low Reynolds numbers the drag coefficient slightly increase with ii' of the free stream. This effect is due to the intensified viscous dissipation. The effect of the turbulence scale on the drag coefficient depends on the Jlj d ratio. At (JI j d) «I the effect of turbulence is to transport in the particle a non-steady flow field, whereas at (JI j d) > I the drag coefficient increases with Jlj d .
In the context of pulverized-coal combustion, he calculated the drag coefficient of the carbon particles in compressible low-Re flow, using the matched asymptotic expansion method. The model accounts for variation of the physical properties with temperature as well as for heat losses due to radiation. 3 Effect of combustion y t P~'T~'U~~ I - _ 41 --"'T"""---r. __ __ x Lj__ --~I ~ Pm,Tm - __ (Mean value) -t--- Fig. 5 No surface reaction Frozen mode Thrust drag Fig. 22 Drag coefficient versus the particle temperature.
It is emphasized that the curves corresponding to uniform (All = 0) and non uniform (AlJ < 0) radial velocity distributions are qualitatively different. In the former case an increase of radial velocity is accompanied by a monotonic decrease of the drag force, while in the latter the behavior is more complicated. In Fig. 12 it is seen that the curves have two branches (descending and ascending) corresponding to low and high radial velocities, respectively. At smaller values of Aoo an increase of the radial velocity is accompanied by a decrease of the drag force, due to reduction of the pressure drop from the front to the rear stagnation point as a consequence of the negative contribution of the inertia terms to the pressure distribution.