P1.62 Extend the steady flow between a fixed lower plate and a moving upper plate, from Fig. 1.8, to the case of two immiscible liquids between the plates, as in Fig. P1.62. ow1 h2 y4 hy Fixed P1.62 (a) Sketch the expected no-slip velocity distribution u(y) between the plates. (b) Find an analytic expression for the velocity U at the interface between the two liquid layers. (c) What is the result of (b) if the viscosities and layer thicknesses are equal?

P1.62 Extend the steady flow between a fixed lower plate and a moving upper plate, from Fig. 1.8, to the case of two immiscible liquids between the plates, as in Fig. P1.62. ow1 h2 y4 hy Fixed P1.62 (a) Sketch the expected no-slip velocity distribution u(y) between the plates. (b) Find an analytic expression for the velocity U at the interface between the two liquid layers. (c) What is the result of (b) if the viscosities and layer thicknesses are equal?

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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Concept explainers

Open Channel Flow

Open channel flow is a branch of fluid mechanics. It deals with the flow of fluid in an open conduit or free surface. In an open channel flow, gravity induces the flow of water whose surface is open to the air. This flow is free-falling rather than confined in rigid body conduits. The open channel flow depends upon two parameters that are the cross-section of the conduit and the velocity profile. Practical examples of open channel flow are streams, rivers, canals, and other drainage systems.In open channel flow, the cross-sectional area of at least one of the sides is exposed to air, and the surface of water faces atmospheric pressure. This flow is also known as free gravity flow. The cross-sectional area of the conduit can be either man-made or a natural channel. For instance, the flow in rivers and streams are natural conduits, and the flow in a canal and sanitary systems are man-made or engineered channels.

Question

u pdmg or
P1.62 Extend the steady flow between a fixed lower plate and a
moving upper plate, from Fig. 1.8, to the case of two
immiscible liquids between the plates, as in Fig. P1.62.
oinay owi
h2
M2
y4
hy
Fixed
P1.62
(a) Sketch the expected no-slip velocity distribution u(y)
between the plates. (b) Find an analytic expression for the
velocity U at the interface between the two liquid layers.
(c) What is the result of (b) if the viscosities and layer
thicknesses are equal?

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