When a fluid flows over a surface, the shear stress T (N/m²) at the surface is given by du T = H- dy where u is the viscosity (N-s/m?), u is the velocity parallel to the surface (m/s), du/dy the acceleration (m/s?), and y is the distance normal to the surface (cm). Measure- ments of the viscosity of an air stream flowing above a surface are made with an LDV (laser Doppler velocimeter). The following values were obtained at u = 0.00024 N-s/m?: y 0.0 0.00 1.0 55.56 2.0 88.89 3.0 100.00
When a fluid flows over a surface, the shear stress T (N/m²) at the surface is given by du T = H- dy where u is the viscosity (N-s/m?), u is the velocity parallel to the surface (m/s), du/dy the acceleration (m/s?), and y is the distance normal to the surface (cm). Measure- ments of the viscosity of an air stream flowing above a surface are made with an LDV (laser Doppler velocimeter). The following values were obtained at u = 0.00024 N-s/m?: y 0.0 0.00 1.0 55.56 2.0 88.89 3.0 100.00
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Use central differences to approximate the shear stress at the surface for y = 1.0 cm and y = 2.5 cm.
Transcribed Image Text:When a fluid flows over a surface, the shear stress T (N/m?) at the surface is given by
du
T = H-
dy
where u is the viscosity (N-s/m2), u is the velocity parallel to the surface (m/s), du/dy
the acceleration (m/s?), and y is the distance normal to the surface (cm). Measure-
ments of the viscosity of an air stream flowing above a surface are made with an
LDV (laser Doppler velocimeter). The following values were obtained at u = 0.00024
N-s/m?:
y
u
0.0
0.00
1.0
55.56
2.0
88.89
3.0
100.00
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