A viscous liquid fills the annular gap between vertical concentric cylinders. The inner cylinder is stationary, and the outer cylinder rotates at constant speed. The annular gap is closed at the bottom. Figure-1 shows the geometry of two concentric cylinders and coordinate system. Obtain an expression for the liquid velocity distribution using the equations of change in the cylindrical coordinate system. Clearly mention the assumptions and boundary conditions used in your derivation. [Hints: (i) velocity of the outer cylinder in m/s = o x R2, where o is the angular velocity in rad/s and R2 is the radius of the outer cylinder; (ii) ue varies with r, u, = 0, and uz = 0] %3D %3D
A viscous liquid fills the annular gap between vertical concentric cylinders. The inner cylinder is stationary, and the outer cylinder rotates at constant speed. The annular gap is closed at the bottom. Figure-1 shows the geometry of two concentric cylinders and coordinate system. Obtain an expression for the liquid velocity distribution using the equations of change in the cylindrical coordinate system. Clearly mention the assumptions and boundary conditions used in your derivation. [Hints: (i) velocity of the outer cylinder in m/s = o x R2, where o is the angular velocity in rad/s and R2 is the radius of the outer cylinder; (ii) ue varies with r, u, = 0, and uz = 0] %3D %3D
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![A viscous liquid fills the annular gap between vertical concentric cylinders. The inner cylinder is
stationary, and the outer cylinder rotates at constant speed. The annular gap is closed at the bottom.
Figure-1 shows the geometry of two concentric cylinders and coordinate system. Obtain an expression
for the liquid velocity distribution using the equations of change in the cylindrical coordinate system.
Clearly mention the assumptions and boundary conditions used in your derivation. [Hints: (i) velocity
of the outer cylinder in m/s = o x R2, where o is the angular velocity in rad/s and R2 is the radius of the
outer cylinder; (ii) ue varies with r, u, = 0, and uz = 0]
%3D
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f8353a8-7b24-4ba4-b83b-20a8c2888af4%2F10b5c546-e1ad-45b5-af3c-0105411c326e%2Fu0okc6n.jpeg&w=3840&q=75)
Transcribed Image Text:A viscous liquid fills the annular gap between vertical concentric cylinders. The inner cylinder is
stationary, and the outer cylinder rotates at constant speed. The annular gap is closed at the bottom.
Figure-1 shows the geometry of two concentric cylinders and coordinate system. Obtain an expression
for the liquid velocity distribution using the equations of change in the cylindrical coordinate system.
Clearly mention the assumptions and boundary conditions used in your derivation. [Hints: (i) velocity
of the outer cylinder in m/s = o x R2, where o is the angular velocity in rad/s and R2 is the radius of the
outer cylinder; (ii) ue varies with r, u, = 0, and uz = 0]
%3D
%3D
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