(b) An incompressible viscous liquid flows down a plate inclined at angle as shown in Figure 4. The flow is assumed to be steady and the film thickness is constant. The density of the liquid is p, its dynamic viscosity is µ and the film thickness is h 8 | 0 Figure 4 = -24 (i) Show that the governing equation for the velocity u(y) can be written as: a²u pgsine дуг H (ii) What are the boundary conditions at y = 0 and at y = h ? u(y) = Cy(2h - y). Determine the (iii) The velocity u(y) can be written as expression for C. (iv) What is the average velocity of the liquid film for unit depth (into paper)?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
(b) An incompressible viscous liquid flows down a plate inclined at angle 8 as shown in
Figure 4. The flow is assumed to be steady and the film thickness is constant. The
density of the liquid is p, its dynamic viscosity is μ and the film thickness is h.
Y₁
0
0
8 ↓
11
Figure 4
(i) Show that the governing equation for the velocity u(y) can be written as:
²
pgsine
=
Əy²
fl
(ii) What are the boundary conditions at y = 0 and at y = h ?
(iii) The velocity u(y) can be written as
expression for C.
(iv) What is the average velocity of the liquid film for unit depth (into paper)?
u(y) = Cy(2h - y). Determine the
Transcribed Image Text:(b) An incompressible viscous liquid flows down a plate inclined at angle 8 as shown in Figure 4. The flow is assumed to be steady and the film thickness is constant. The density of the liquid is p, its dynamic viscosity is μ and the film thickness is h. Y₁ 0 0 8 ↓ 11 Figure 4 (i) Show that the governing equation for the velocity u(y) can be written as: ² pgsine = Əy² fl (ii) What are the boundary conditions at y = 0 and at y = h ? (iii) The velocity u(y) can be written as expression for C. (iv) What is the average velocity of the liquid film for unit depth (into paper)? u(y) = Cy(2h - y). Determine the
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 14 images

Blurred answer
Knowledge Booster
Physical laws and observations
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
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning