Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as ? = ?y + ? (du/dr). For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as u(r) = (ΔP/4? L)(r2 − R2) + (?y /? )(r − R), where ΔP/L is the constant pressure drop along the pipe per unit length, ? is the dynamic viscosity, r is the radial distance from the centerline, and ?y is the yield stress of Bingham plastic. Determine (a) the shear stress at the pipe wall and (b) the drag force acting on a pipe section of length L.
Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as ? = ?y + ? (du/dr). For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as u(r) = (ΔP/4? L)(r2 − R2) + (?y /? )(r − R), where ΔP/L is the constant pressure drop along the pipe per unit length, ? is the dynamic viscosity, r is the radial distance from the centerline, and ?y is the yield stress of Bingham plastic. Determine (a) the shear stress at the pipe wall and (b) the drag force acting on a pipe section of length L.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as ? = ?y + ? (du/dr). For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as u(r) = (ΔP/4? L)(r2 − R2) + (?y /? )(r − R), where ΔP/L is the constant pressure drop along the pipe per unit length, ? is the dynamic viscosity, r is the radial distance from the centerline, and ?y is the yield stress of Bingham plastic. Determine
(a) the shear stress at the pipe wall and (b) the drag force acting on a pipe section of length L.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning