(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

See similar textbooks

Related questions

Q: A rubber seat is confined between the flat parallel walls of a block of steel S (see figure). For…

Q: a) Fluid pressure is a measurement of the force per unit area on an object in the fluid or on the…

Q: The flow of an incompressible fluid in cylindrical coordinates is given by Find ur if ur = 0 at r…

A: To find:- ur

Q: ven figure, calculate the frod, assume the mass of o friction between the cor

A: solution of above problem is below:

Q: 1) Consider a chunk of fluid that is initially shaped as shown hanging off of the edge of a table in…

A: Let us consider the given shape "A" Assuming that the fluid section labeled is able to maintain its…

Q: nown in the figure, is .2 R²

Q: Form the figure shown, a flexible belt placed around a rotating drum of 4-inch radius acts as a…

A: Given Radius of drum = 4 inch Kinetic friction= 0.7

Q: Figure shows a container filled with light oil and heavy oil. The masses of two types of oil are the…

Q: In the case of steady-state incompressible fluid flow, with F(x, y, z) the fluid velocity at (x, y,…

A: In the case of steady-state incompressible fluid flow, with F(x, y, z) the fluid velocity at (x, y,…

Q: 04 bus 300 to g Question 3 Find the angle the surface tension film leaves the glass for a vertical…

A: Given data, Diameter of vertical tube = 0.25 inch Capillary rise = 0.08 inch Surface tension =…

Q: For the following functions in two-dimensional irrotational flow, determine the conjugate functions…

Q: For laminar flow in a pipe, the drop in pressure Ap is a function of the pipe length L, its diameter…

Q: E as a jet of diameter d. Determine

Q: Q6) The velocity of a fluid, V, in a pipe in (m/sec) can be given by ApD2 32µl %3D Where Ap is the…

Q: In a laboratory experiment it was found that the pressure drop Ap depends on the gate opening h, the…

Q: 13. Dynamics of rigid bodies is a branch of strength of materials. O True O False 14. Hydrostatic…

Q: In the figure, the forces acting on the concrete dam body are hydrostatic pressure, underbody…

A: Take the unit inside width of the dam.The thrust force due to ice, Pbuz = 150kNThe density of…

Q: 1-41. The constants B = 1.357(10-6) N-s/(m² -K!/2) and C = 78.84 K have been used in the empirical…

Q: Problem 1 AU-shaped tube is partially filled with a liquid of known density p1. At the right end,…

Q: In the Figure Q2(b), show the condition of stability of floating object in a fluid Describe the…

A: when the body submerged or immerged in a static fluid a net hydrostatic force act on the body in…

Q: A lubricant oil with a density of 897 kg/m and viscosity of 0,4 kg/ms is flowing upward between two…

Q: Q3) A 2 kg aluminum block and a 6 kg copper block are connected by a light string over a…

Q: The frictional pressure drop p for a fluid of density p and viscosity u flowing with a velocity V…

A: Given:- The frictional pressure drop for a fluid density depends on viscosity, velocity, diameter,…

Q: The velocity field in a flow system is given by v = 2i + (x+y)j + (xyz)k. The acceleration of the…

A: Calculate the acceleration at (1,1,2)?

Q: Q.25 A fixed control volume of a stream tube in steady flow has a uniform inlet flow (p.. A,, V,)…

Q: An incompressible fluid is initially undergoing turbulent flow, and the flow rate is slowly…

A: As multiple questions are asked and as per the guidelines only first question will be answered.Flow…

Q: For laminar flow in a pipe, the drop in pressure Ap is a function of the pipe length L, its diameter…

A: Lets design the laminar flow in pipe , with drop in pressure per unit length. So, Drop in pressure…

Q: We consider an unsteady, two-dimensional, laminar, incompressible, Boussinesq, couple stress fluid…

A: From the given journals: ρ=ρ01-βT-T∞ Assume: γ=1γ=λβ=1 Governing equations of motion: ∂u∂x+∂v∂y=0…

Q: Eample 11.6 For the frame shown below, the initial displacement is 25 mm and the initial velocity is…

Q: For laminar flow in a pipe, the drop in pressure Ap is a function of the pipe length L, its diameter…

A: Given data,In a pipe having laminar flowPressure drop ∆P is a function of pipe length L,Diameter D,…

Q: Consider a cylinder of fluid of length L and radius R flowing steadily in the centre of a pipe of…

Q: ... EX, 7 The device shown in the figure is known as a venturi. In this specific venturi, the…

Q: ): In flow of sudden contraction, the change of pressure (Ap) is depends on the density p, the…

A: step 1-

Q: The velocity field in a flow system is given by v = 2i + (x+y)j + (xyz)k. The acceleration of the

Q: 1. The uniform velocity 'U' of water flowing in a pipe at 70 °F is 33ft/s. Figure out the following…

Q: A vertical one-link manipulator is illustrated in Figure Q1b. Assume that there is viscous friction…

A: Net torque acts on this manipulator

Q: Q4/ The solid shown consists of a cone of radius (r) and height (h₁) and a cylinder of radius (r)…

Q: There two parallel discs, one is up and another is down, whose diameters are both d. The thickness…

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

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!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 14 images

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions

Find the answer
An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters di and d2 (where d₁ = 4d₂) that run for a distance of L each and then again join back to a pipe of the original size. For both the parallel pipes, assume the head loss due to friction only and the Darcy-Weisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is
For laminar flow in a pipe, the drop in pressure Ap is a function of the pipe length L, its diameter D, mean velocity of flow V and the dynamic viscosity μ. Using Rayleigh's method, develop an expression for Ap.
A film-shaped Newtonian fluid flows from top to bottom in the direction of gravity from the inner surfaces of a cylindrical vertical pipe of length L. The radius of the pipe is R and the distance from the center of the pipe to the liquid surface is aR. Let the viscosity and density of the fluid be constant. Assuming that the pressure variations in the fluid inlet and outlet are negligible a) Write the expressions describing the system using the continuity equations for the steady state and derive the equation that gives the velocity distribution of the fluid. b) Considering that the pipe is pulled up at a constant V velocity, rearrange the equation that gives the velocity distribution NOTE: Analytical solution and numerical solution will be made. R V i aR
M27
For many applications, it is accurate enough to treat water as incompressible. But for a more detailed understanding of fluid flows, compressibility must be taken into account. Fortunately, the bulk modulus of water is close to constant, so let's model the pressure in a motionless water column assuming that the bulk modulus is a constant, K, = 2.1 GPa. The pressure and density at the top surface of the water column are 6. Po =1000 hPa and P, =1000 kg/m², respectively, and the downward acceleration due to gravity is g =9.8 m/s. Take depth, z, to be positive downward with z = 0 at the top %3D %3D %3D surface. Using the definition of bulk modulus, derive an expression for the density field, p, in terms of pressure, p, and the given parameters. Leave all parameters а. as algebraic. (At this point, your expression should not include z .) b. Starting from hydrostatic balance and the expression in part (a), derive an expression for the pressure field, p(z), in terms of z and the given…
The Newtonian fluid shown in is confined between the plate and a fixed surface as shown in (Figure 1). Its velocity profile is defined by u = (8y-0.3y2) mm/s, where y is in mm. The plate has a surface area of 29(10³) mm² in contact with the fluid. Take μ = 0.482 N. s/m². Suppose that h = 6 mm. Figure h < 1 of 1 Part A Determine the force P that must be applied to the plate to cause this motion. Express your answer to three significant figures and include the appropriate units. xa P= 67.1 μA Xb a b X.10n < Return to Assignment mN Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining ? Provide Feedback
Please solve it