Determine the pressure relative to atmospheric pressure needed at the entrance of the needle to maintain a flow rate of 0.10 cm^3/s.To what elevation should the bag containing the glucose be raised to maintain this pressure at the needle? A glucose solution of viscosity 2.2 x 10-3N.s/m? and density 1030 kg/m³ flows from anelevated open bag into a vein. The needle into thevein has a radius of 0.20 mm and is 3.0 cm long.All other tubes leading to the needle have muchlarger radii, and viscous forces in them can beignored. The pressure in the vein is 1000 N/m?above atmospheric pressure.

Name: Determine the pressure relative to atmospheric pressure needed at the
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: Determine the pressure relative to atmospheric pressure needed at the entrance of the needle to maintain a flow rate of 0.10 cm^3/s.To what elevation should the bag containing the glucose be raised to maintain this pressure at the needle? A glucose s

Given, Viscosity, μ=2.2×10-3 N.s/m2 Density, ρ=1030 kg/m3 Radius, r=0.2mm Length, l=3cm Pressure, P=1000 N/m2 Flow rate, Q=0.1 cm3/sFrom Poiseuille's equation, ∆p=8μLQπR4 =8(2.2×10-3)(3×10-2)(0.1×(10-2)3)π(0.2×10-3)4 =10.509 kPa Pressure at entry point of needle is, =10.509-1 kPa =9.509 kPaLet elevation required be h, As, ρgh=1.509×104h=1.509×104(9.8)(1030)=1.4949 m