3 A constant-density Newtonian fluid is flowing as a thin film down a vertical wall in laminar flow; see Fig. 15.9.Find the velocity distribution and the volumetric flow rate per unit width of wall by using the Navier-Stokes equations (z component) on the assumptions that there is no flow in the x or y direction, that the z component of the velocity is zero at the solid wall, and that there is no shear stress at the liquid-air surface, and the flow is steady-state. (Waves may appear on the fluid surface in this situation; ignore that possibility for this problem). t Air Solid wall Thin liquid film Thickness Ax FIGURE 15.9 A thin liquid film flowing down a wall.
3 A constant-density Newtonian fluid is flowing as a thin film down a vertical wall in laminar flow; see Fig. 15.9.Find the velocity distribution and the volumetric flow rate per unit width of wall by using the Navier-Stokes equations (z component) on the assumptions that there is no flow in the x or y direction, that the z component of the velocity is zero at the solid wall, and that there is no shear stress at the liquid-air surface, and the flow is steady-state. (Waves may appear on the fluid surface in this situation; ignore that possibility for this problem). t Air Solid wall Thin liquid film Thickness Ax FIGURE 15.9 A thin liquid film flowing down a wall.
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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Transcribed Image Text:3
A constant-density Newtonian fluid is flowing as a thin film down a vertical wall in laminar flow;
see Fig. 15.9.Find the velocity distribution and the volumetric flow rate per unit width of wall by
using the Navier-Stokes equations (z component) on the assumptions that there is no flow in the
x or y direction, that the z component of the velocity is zero at the solid wall, and that there is no
shear stress at the liquid-air surface, and the flow is steady-state. (Waves may appear on the
fluid surface in this situation; ignore that possibility for this problem).
E
wall
Air
Solid
Thin liquid film
-Thickness Ax
FIGURE 15.9
A thin liquid film flowing down a wall.
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