Refer to the law of laminar flow, which states that v = -(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026. (a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r= R = 0.01 cm. (Round your answers to three decimal places.) r= 0 cm/s r= 0.005 cm/s r= 0.01 cm/s (b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r= 0.005 cm, and at the wall r =R = 0.01 cm. (Round your answers to three decimal places.) r= 0 (cm/s)/cm r = 0.005 |(cm/s)/cm r = 0.01 |(cm/s)/cm (c) Where is the velocity the greatest? Or = 0 Or = 0.005 Or = 0.01 Where is the velocity changing most? Or= 0 Or = 0.005 Or = 0.01

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 46PQ
icon
Related questions
Question
Refer to the law of laminar flow, which states that v =
4n/
-(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026.
(a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.)
r = 0
cm/s
r = 0.005
cm/s
r = 0.01
cm/s
(b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.)
r = 0
(cm/s)/cm
r = 0.005
(cm/s)/cm
r = 0.01
(cm/s)/cm
(c) Where is the velocity the greatest?
Or = 0
Or = 0.005
Or = 0.01
Where is the velocity changing most?
Or = 0
Or = 0.005
Or = 0.01
Transcribed Image Text:Refer to the law of laminar flow, which states that v = 4n/ -(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026. (a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.) r = 0 cm/s r = 0.005 cm/s r = 0.01 cm/s (b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.) r = 0 (cm/s)/cm r = 0.005 (cm/s)/cm r = 0.01 (cm/s)/cm (c) Where is the velocity the greatest? Or = 0 Or = 0.005 Or = 0.01 Where is the velocity changing most? Or = 0 Or = 0.005 Or = 0.01
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Density of fluid
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College