Laminar flow of a fluid of viscosity 0.883 Ns/m² and specific gravity 1.26 occurs between a pair of parallel plates of extensive width, inclined at 45° to the horizontal, the plates being 10 mm apart. The upper plate moves with a velocity of 1.5 m/s relative to the lower plate and in a direction opposite to the fluid flow. Pressure gauges mounted at two points 1 m vertically apart on the upper plate record pressures of 245 kN/m2 and 78.5 kN/m2 respectively. Determine the velocity and shear stress distribution between the plates, the maximum flow velocity and the shear stress on the upper plate.
Laminar flow of a fluid of viscosity 0.883 Ns/m² and specific gravity 1.26 occurs between a pair of parallel plates of extensive width, inclined at 45° to the horizontal, the plates being 10 mm apart. The upper plate moves with a velocity of 1.5 m/s relative to the lower plate and in a direction opposite to the fluid flow. Pressure gauges mounted at two points 1 m vertically apart on the upper plate record pressures of 245 kN/m2 and 78.5 kN/m2 respectively. Determine the velocity and shear stress distribution between the plates, the maximum flow velocity and the shear stress on the upper plate.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Laminar flow of a fluid of viscosity 0.883 Ns/m² and specific
gravity 1.26 occurs between a pair of parallel plates of
extensive width, inclined at 45° to the horizontal, the plates
being 10 mm apart. The upper plate moves with a velocity
of 1.5 m/s relative to the lower plate and in a direction
opposite to the fluid flow. Pressure gauges mounted at
two points 1 m vertically apart on the upper plate record
pressures of 245 kN/m² and 78.5 kN/m2 respectively.
Determine the velocity and shear stress distribution
between the plates, the maximum flow velocity and the
shear stress on the upper plate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13b0ceef-05f6-4a6a-9ec4-f23fb332bc84%2F1722b951-e333-4c9a-9d4f-d3773a649f51%2Frj790nn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Laminar flow of a fluid of viscosity 0.883 Ns/m² and specific
gravity 1.26 occurs between a pair of parallel plates of
extensive width, inclined at 45° to the horizontal, the plates
being 10 mm apart. The upper plate moves with a velocity
of 1.5 m/s relative to the lower plate and in a direction
opposite to the fluid flow. Pressure gauges mounted at
two points 1 m vertically apart on the upper plate record
pressures of 245 kN/m² and 78.5 kN/m2 respectively.
Determine the velocity and shear stress distribution
between the plates, the maximum flow velocity and the
shear stress on the upper plate.
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