A small artery has a length of 1.1×10−3 m and a radius of 2.5×10−5 m. If the pressure drop across the artery is 1.3 kPa, what is the flow rate through the artery? (Assume that the temperature is 37º C .)

Solution 33PE

Step 1 of 3</p>

We need to determine the flow rate through the artery, which is of small length and a radius . When the pressure drop across the small artery is .

Given data,

Length Radius Pressure drop,Using

Using

Fluid viscosity,To find

Rate of flow,

Step 2 of 3</p>

We can calculate the rate of flow of fluid through the artery using Poiseuille’s law. The Poiseuille’s equation for the fluid flow is given by,

Using pressure drop as

Where is the Fluid viscosity, and are length and radius of artery respectively, is change in pressure.