(b) An incompressible viscous liquid flows down a plate inclined at angle 8 as shown inFigure 4. The flow is assumed to be steady and the film thickness is constant. Thedensity of the liquid is p, its dynamic viscosity is μ and the film thickness is h.Y₁008 ↓11Figure 4(i) Show that the governing equation for the velocity u(y) can be written as:²pgsine=Əy²fl(ii) What are the boundary conditions at y = 0 and at y = h ?(iii) The velocity u(y) can be written asexpression for C.(iv) What is the average velocity of the liquid film for unit depth (into paper)?u(y) = Cy(2h - y). Determine the

Answered: Image /qna-images/answer/c07a43bd-3f5b-4fea-99aa-58c4def3aa5c.jpg

(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)?

(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

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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

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