R. Ramamurti et W. Sandberg, Simulation of flow about flapping airfoils using finite element incompressible flow solver, AIAA J, 39(2), 2001, pp. 253-260
A finite element how solver based on unstructured grids is employed for stu
dying the unsteady flow past oscillating airfoils. The viscous how past a N
ACA0012 airfoil at various pitching frequencies is simulated. The variation
of the force coefficient with reduced frequency is compared to experimenta
l and other numerical studies. The effect of variation of the amplitude of
the pitching motion on the force coefficient shows that the critical parame
ter for thrust generation is not the reduced frequency but the Strouhal num
ber based on the maximum excursion of the trailing edge. The flow about the
airfoil in a combined pitching and heaving motion, a mode found in many in
sects, is also simulated. The effects of varying the phase angle between th
e pitch and the heave motions is studied. The thrust coefficient was compar
ed with experimental studies and good agreement is obtained. It is found th
at the maximum thrust coefficient is obtained for when the pitch motion lea
ds the heave motion by 120 deg and maximum propulsive efficiency occurs at
a phase angle of 90 deg.