Bernhard Weiß, Erwin Reichel, Bernhard Jakoby,
"Modeling of a clamped–clamped beam vibrating in a fluid for viscosity and density sensing regarding compressibility"
, in Elsevier, in Sensors and Actuators A: Physical, 12-2007
Modeling of a clamped–clamped beam vibrating in a fluid for viscosity and density sensing regarding compressibility
Sprache des Titels:
A clamped–clamped beam vibrating in a compressible fluid for the measurement of the fluid’s
density and viscosity ismodeled using the Bernoulli–Euler equation for the beam and the linearized
Navier–Stokes equations for the fluid. The adiabatic compressibility coefficient was used to characterize
the pressure–density coupling. Based on themethod ofmoments, the flow around the beam
and the associated resistance of the fluid on the beam were computed using a 2D–approximation.
Hydrodynamic resistance coefficients are determined and compared to the known resistance coefficients
for a cylinder vibrating in an incompressible fluid. The influence of the fluid’s compressibility
on the resistance on the beam is examined and a critical value of the vibration frequency is
determined, over which the beam experiences excessive damping due to the excitation of pressure