Aerodynamic forces exerted on a body in viscous incompressible fluid resulting from vorticity generation on the body surface

G Dynnikova
2018 IOP Conference Series: Materials Science and Engineering  
The vorticity evolution equation following from the Navier-Stokes equations for three-dimensional viscous incompressible fluid flows is represented in the divergent form. The partial derivative of the vorticity with respect to time is expressed as the divergence of a tensor called the vorticity transfer tensor. The concept of vorticity flux generated by a surface is defined. An expression for the pressure force in terms of the generated vorticity flux is obtained under the no-slip condition for
more » ... three-dimensional bodies of constant and variable shape.
doi:10.1088/1757-899x/468/1/012002 fatcat:jvnm7gwjcrbuphkkg7msiccygq