Rao

The “Continuum” assumption in propulsion and fluid dynamics is that their atomic structure will be ignored and they will be considered as capable of being subdivided into infinitesimal pieces of identical structure. In this way it is legitimate to speak of the properties of a continuum – e.g., density, pressure, velocity – as point properties. Now, this assumption needs to be modified, for example if the “Non-Continuum” assumption is that the atoms/molecules/particles ( although fundamental particles are modernly understood as point masses, let’s ignore this issue for now because most of the reaction in propulsion and fluid dynamics is chemical and not Atomic/Nuclear) cannot be subdivided, How and where to start the math for this kind of assumption to speak of the properties like density, pressure and velocity?. Please go through the pictures/attachments for a little bit of math around this “continuum” assumption. If you don’t understand the question please ask. Thanks in Advance.