Pressure/flow relations in the interlamellar space of fish gills: theory and application in the rainbow trout

The nature of the water flow in the interlamellar spaces of fish gills is investigated using the basic fluid mechanical equations. The results show that the gill behaves like a low-pass filter, dampening the amplitude of the velocity oscillation when the frequency of the driving pressure differential exceeds some characteristic value and shifting the phase angle between the pressure and velocity pulses from 0 towards -pi/2. The cut-off frequency is determined by the parameter v/r2, where r is the half-width of the interlamellar space and v the kinematic viscosity. Using known gill dimensions the analysis shows that dampening of the velocity amplitude is not likely to occur at driving pressure frequencies below 100 Hz. Fourier analysis of the pressure differential recorded between buccal and opercular chambers of rainbow trout reveals that there is very little contribution from frequencies above 10 Hz, suggesting that interlamellar water flow is pulsatile and that the possibility for backflow exists.