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. 2020 Oct 29;117(45):28126–28133. doi: 10.1073/pnas.2007871117

Table 1.

List of variables and constants used in the model

Unit Description Details
Geometric parameters
Lant 1 cm Antenna length Measurements
ds 3 μm Sensillum diameter Measurements
Ls 150 μm Sensillum length Measurements
α 300 Scaling factor
dsart 900 μm Diameter of an artificial sensillum dsart=αds
Lantart 13 cm Length of the artificial microstructure
s 16 μm Half distance between sensilla Measurements
σ 10.7 Dimensionless distance between cylinders σ=2s/ds
ϕ 9.7 Dimensionless spacing between sensilla ϕ=σ1
d0=ds Diameter of the cylinder in the heat transfer model d0=ds
Sfront m2 Frontal area See SI Appendix
Experimental parameters
vair ms−1 Air velocity
voil ms−1 Oil velocity
v ms−1 Far-field air velocity in the PIV experiment
vn ms−1 Mean air velocity close to the microstructure
ccyl gm3 Uniform concentration at the surface of a sensillum
c gm3 Far-field pheromone concentration
Dimensionless numbers
Le Leakiness Eq. 12
Reair Reynolds number in air Eq. 11
Reoil Reynolds number in air Reoil=αds*voilνoil
Nu Nusselt number See SI Appendix
Sh Sherwood number See SI Appendix
Gz Graetz number See SI Appendix
Physical parameters
νair 15.6×106m2s1 Kinematic viscosity of air at 20 °C
νoil 50×106m2s1 Kinematic viscosity of rapeseed oil at 29 °C Measurement
D 4.5×106m2s1 Diffusion coefficient of pheromone See SI Appendix
wmod m3s1 Volume flow rate per cylinder in the model wmod=(4*s2π*(d02)2)*vmod
wPIV m3s1 Volume flow rate per cylinder in the experiment wPIV=(4*s2π*(d02)2)*v
Variables
vn ms1 Mean fluid velocity at the entrance to the microstructure
wthrough m3s1 Flux between the two outermost sensilla
wref m3s1 Flux for an equivalent area, taken as Fthrough for a fluid at velocity v
Fin gs1 Mass flux into the control volume described in Fig. 4
Fout gs1 Mass flux out of the control volume described in Fig. 4
Fcyl gm1s1 Local mass flux to a sensillum surface in Fig. 4
c gm3 Pheromone concentration in the fluid
cf gm3 Mean pheromone concentration in the fluid between the sensilla depending on z
ηs Capture efficiency of the model
ηm Capture efficiency of the microstructure