1. An incompressible Newtonian liquid is in steady laminar flow in a slit formed by two parallel vertical walls separated by a distance 2B. The walls have a length L and a width W. Since B«W and B <

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
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1. An incompressible Newtonian liquid is in steady laminar flow in a slit
formed by two parallel vertical walls separated by a distance 2B. The
walls have a length L and a width W. Since B«W and B <<L, edge
and end effects are not important. The flow can be considered fully
developed and the velocity will vary only in the x-direction. The
pressure at the entrance is P, and at the exit PL.
Fluid in
L
Note the location of the coordinate system in which x = 0 is located
midway between the two vertical surfaces.
2B -
(a) Write the simplified form of the Navier-Stokes equation that
will be used to solve for the velocity profile vz.
(b) Write the two boundary conditions that will be used to obtain a
solution for the velocity profile.
Transcribed Image Text:1. An incompressible Newtonian liquid is in steady laminar flow in a slit formed by two parallel vertical walls separated by a distance 2B. The walls have a length L and a width W. Since B«W and B <<L, edge and end effects are not important. The flow can be considered fully developed and the velocity will vary only in the x-direction. The pressure at the entrance is P, and at the exit PL. Fluid in L Note the location of the coordinate system in which x = 0 is located midway between the two vertical surfaces. 2B - (a) Write the simplified form of the Navier-Stokes equation that will be used to solve for the velocity profile vz. (b) Write the two boundary conditions that will be used to obtain a solution for the velocity profile.
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