Q3. When a fluid flows over a surface, the shear stress 7 (N/m²) at the surface is given by the expression du y u t = μ· dy surface where is the viscosity (Ns/m²), u is the velocity parallel to the surface (m/s), and y is the distance normal to the surface (cm). Measurements of the velocity of an air stream flowing above a surface are made with an LDV (laser Doppler velocimeter). The following values were obtained: 3.0 0.0 1.0 2.0 0.00 55.56 88.89 100.00 4.0 111.56 At the local temperature, = 0.00024 Ns/m². Calculate (a) du / dy at the surface based on third order polynomial, (b) the corresponding values of the shear stress at the surface, c) the shear force acting on a flat plate 10 cm long and 5 cm wide.
Q3. When a fluid flows over a surface, the shear stress 7 (N/m²) at the surface is given by the expression du y u t = μ· dy surface where is the viscosity (Ns/m²), u is the velocity parallel to the surface (m/s), and y is the distance normal to the surface (cm). Measurements of the velocity of an air stream flowing above a surface are made with an LDV (laser Doppler velocimeter). The following values were obtained: 3.0 0.0 1.0 2.0 0.00 55.56 88.89 100.00 4.0 111.56 At the local temperature, = 0.00024 Ns/m². Calculate (a) du / dy at the surface based on third order polynomial, (b) the corresponding values of the shear stress at the surface, c) the shear force acting on a flat plate 10 cm long and 5 cm wide.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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