Basic equations for non-reacting Newtonian fluids in curvilinear, non-orthogonal, and accelerated coordinate systems

Procedures for writing the basic fluid mechanical equations for a Newtonian fluid relative to a non-inertial reference frame of general non-orthogonal and curvilinear coordinates are reported. The constitutive equations are also discussed and refer to a compressible Newtonian fluid. A survey of non-Cartesian tensor analysis is provided. The flow distribution around finite cambered swept wings is discussed.