(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)?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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
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