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Unformatted text preview: Problem 5.19 Spark-ignited spherical combustion See also Problem 3.7 Fig. 1 A combustible mixture of air and fuel is initially at rest at a density c and uniform pressure p . At t = 0, the mixture is ignited at the origin by a spark and a flame front begins to move radially outward from the origin at a constant speed V f . As the flame front overtakes a gas particle, it converts the combustible mixture of density c to a hotter combustion product of lower density p . This occurs so fast that the flame front can be modeled as an infinitesimally thin density discontinuity. Because the volume of a fluid particle increases as it is enveloped by the flame front, the combustible mixture ahead of the expanding flame front is pushed radially outward by the front. The combustion products of density p that are left behind the flame must, however, be stationary relative to the reference frame fixed in the origin....
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.25 taught by Professor Garethmckinley during the Fall '05 term at MIT.
- Fall '05