A 5-mm long air bubble is formed in the catheter connected to sensor. The catheter is 1m long, 6 French diameter and filled with water at 20C (n=0.001 Pa:s; p= 1000 kg/m3; r= 0.46 mm; Ed=0.49 x 1015 N/m5). Find fn and { with and without bubble. Sketch the frequency-response curve for both cases. Note: 1 cm of water pressure is 98.5 N/m2 The isothermal compression of air AV/AP is 1 ml per cm of water pressure per liter of volume; In fluid dynamics, Poiseuille equation describes slow viscous flow through a constant circular cross-section : 8nL L-catheter length (m) R 1 - catheter radius (m) 4 MI n - liquid viscosity (Pa-sec) The inertance of catheter is due primarily to the mass of the liquid: PL P - density of liquid (kg/m3) L m - mass of liquid (kg) A? A - cross section area (m) The compliance Cd of the sensor diaphragm is given by: AV 1 Ed - volume modulus of elasticity of the . E sensor diaphragm Ca A 5-mm long air bubble is formed in the catheter connected to sensor. The catheter is 1m long, 6 French diameter and filled with water at 20C (n=0.001 Pa:s; p= 1000 kg/m3; r= 0.46 mm; Ed=0.49 x 1015 N/m5). Find fn and { with and without bubble. Sketch the frequency-response curve for both cases. Note: 1 cm of water pressure is 98.5 N/m2 The isothermal compression of air AV/AP is 1 ml per cm of water pressure per liter of volume; In fluid dynamics, Poiseuille equation describes slow viscous flow through a constant circular cross-section : 8nL L-catheter length (m) R 1 - catheter radius (m) 4 MI n - liquid viscosity (Pa-sec) The inertance of catheter is due primarily to the mass of the liquid: PL P - density of liquid (kg/m3) L m - mass of liquid (kg) A? A - cross section area (m) The compliance Cd of the sensor diaphragm is given by: AV 1 Ed - volume modulus of elasticity of the . E sensor diaphragm Ca