2. A Newtonian fluid flows over a flat plate. The dimensionless velocity distribution as a function of dimensionless vertical distance in the boundary layer can be expressed by a third-order polynomial (Eq. 4.2). Derive an expression for the shear stress acting on the plate in terms of u, V and S. [Ans. Tw= 1.5μ Vold

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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The velocity profile is commonly approximated by a third-order (or cubic) polynomial as:
3
*-10-10²
Ux
and is depicted in Figure 4.3.
=
y/8
y/8=1
y/8=0
Voo
ux/Voo
Flat
Surface
ux/Vα = 0
ux/ V∞ = 1
Figure 4.3: Dimensionless velocity profile in a laminar BL over a flat surface.
52 Page
(4.2)
Transcribed Image Text:The velocity profile is commonly approximated by a third-order (or cubic) polynomial as: 3 *-10-10² Ux and is depicted in Figure 4.3. = y/8 y/8=1 y/8=0 Voo ux/Voo Flat Surface ux/Vα = 0 ux/ V∞ = 1 Figure 4.3: Dimensionless velocity profile in a laminar BL over a flat surface. 52 Page (4.2)
2. A Newtonian fluid flows over a flat plate. The dimensionless velocity distribution as a
function of dimensionless vertical distance in the boundary layer can be expressed by
a third-order polynomial (Eq. 4.2). Derive an expression for the shear stress acting on
the plate in terms of u, V and 8.
[Ans. Tw= 1.5μ Vold
Transcribed Image Text:2. A Newtonian fluid flows over a flat plate. The dimensionless velocity distribution as a function of dimensionless vertical distance in the boundary layer can be expressed by a third-order polynomial (Eq. 4.2). Derive an expression for the shear stress acting on the plate in terms of u, V and 8. [Ans. Tw= 1.5μ Vold
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