L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =(R²-2²), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?
L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =(R²-2²), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?
L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =(R²-2²), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?
Please use Differential equation or intergral equation to solve thanks
Transcribed Image Text:L
The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is:
K
=(R²-2²), where v is the velocity, K is a constant equal to 6 1/s, L is
the length of the pipe, R is the radius of the pipe and r is the distance out
from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the
rate that the flow velocity is changing half-way between the center line and
the wall when the pipe is contracting at a rate of 0.0004 cm/s?
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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