The discussion focuses on applying mass conservation principles to analyze the radial velocity of a flame within a spherical control volume, as outlined in "An Introduction to Combustion" by Stephen Turns. The key concept is that the mass of combustion products, air, and fuel is uniformly distributed throughout the sphere, with the flame front propagating without mixing or altering the density of the mixture. Additionally, the combustion rate is constrained by the available surface area as the flame expands spherically. These insights are crucial for accurately modeling combustion dynamics in spherical geometries.
PREREQUISITESThis discussion is beneficial for advanced physics students, combustion researchers, and engineers involved in flame dynamics and combustion modeling, particularly those focusing on spherical geometries.
I would assume the mass of the combustion products, air and fuel, are present throughout the volume and the flame front propagates without mixing or changing the density of that mixture pre and post combustion. I would also assume the combustion rate is limited by the available surface area as the flame expands in a spherical shape. But those assumptions could be way off.Andrew1235 said:Homework Statement:: Problem description: https://i.stack.imgur.com/7T2OM.png
Relevant Equations:: Mass conservation for a spherical control volume
I am not sure what form of mass conservation to use to solve the above problem from An Introduction to Combustion by Stephen Turns. Can anyone explain what form of mass conservation applies to a sphere in this context?