has the dimensions of 16.0 m² (4 m by 4 m). At 22°C, the density of the oil is 913 kg m-3 and the dynamic viscosity of the oil is 63.5x10-³ Pas. Vo ➤ X (i) Verify if the boundary layer over the whole flat plate is laminar, i.e., that ReL < 2 x 10³. (ii) Determine the thickness of the boundary layer at 2 m in the direction of the flow from the leading edge of the flat plate and centred in the direction perpendicular to the flow direction. (iii) Determine the shear stress at this position.
has the dimensions of 16.0 m² (4 m by 4 m). At 22°C, the density of the oil is 913 kg m-3 and the dynamic viscosity of the oil is 63.5x10-³ Pas. Vo ➤ X (i) Verify if the boundary layer over the whole flat plate is laminar, i.e., that ReL < 2 x 10³. (ii) Determine the thickness of the boundary layer at 2 m in the direction of the flow from the leading edge of the flat plate and centred in the direction perpendicular to the flow direction. (iii) Determine the shear stress at this position.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2. (a) Commercial vegetable oil at 22°C flows at a free stream velocity of 5.0 m s-¹ over
a flat plate with a sharp leading edge as shown in the figure below. The flat plate
has the dimensions of 16.0 m² (4 m by 4 m). At 22°C, the density of the oil is
913 kg m-3 and the dynamic viscosity of the oil is 63.5x10-³ Pa s.
Voo
● X
(i) Verify if the boundary layer over the whole flat plate is laminar, i.e., that
ReL < 2 x 10³.
(ii) Determine the thickness of the boundary layer at 2 m in the direction of
the flow from the leading edge of the flat plate and centred in the direction
perpendicular to the flow direction.
(iii) Determine the shear stress at this position.
(b) An incompressible fluid is confined between two parallel horizontal plates a dis-
tance L apart, as shown in the figure below. The plates are moving in opposite
directions at the same speed.
L
fluid
Vo
Vo
Find the velocity profile for the flow between these plates using the Navier-Stokes
and continuity equations.
g
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