This paper derives the non-inertial terms, also referred to as fictitious forces, for aero-ballistic cases using an Eulerian approach. These cases display unsteady rates of change in acceleration in all six degrees of freedom. Six fictitious forces are identified in the momentum equation. Their origin and nature of these forces are elaborated upon. As shown in previous work, the continuity and energy equations remain invariant. The non-inertial boundary layer equations are derived to determine the effect of fictitious forces in the near-wall region. Through an order of magnitude analysis it was determined that none of the fictitious forces cancels out. It will therefore have an influence on the boundary layer properties.
|R&D Journal of the South African Institution of Mechanical Engineering
|Published - 7 Dec 2017