An oil (viscosity 1 Pa.s, density 800kg/m3) is flowing in an axisymmetric pipe. The flow is fully developed and laminar and the velocity at the centre of the pipe is = 30cm/s. The velocity cross-sectional profile is parabolic as: u(r) = U0(1- r2/R2) . Here r is the distance of the point to the pipe centre where the velocity is u(r). . R is radius of pipe (R=4mm). Calculate: the shear stress at the pipe wall the shear stress within the fluid 2 mm from the pipe wall the Reynold’s number of the flow

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

An oil (viscosity 1 Pa.s, density 800kg/m3) is flowing in an axisymmetric pipe. The flow is fully developed and laminar and the velocity at the centre of the pipe is  = 30cm/s. The velocity cross-sectional profile is parabolic as:

u(r) = U0(1- r2/R2)

. Here r is the distance of the point to the pipe centre where the velocity is u(r). . R is radius of pipe (R=4mm). 

Calculate:

  • the shear stress at the pipe wall
  • the shear stress within the fluid 2 mm from the pipe wall
  • the Reynold’s number of the flow
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY