Liquid is pushed through the narrow gap formed between two glass plates. The distance between the plates is h and the width of the plate is b . Assuming that the flow is laminar, two-dimensional and fully
Liquid is pushed through the narrow gap formed between two glass plates. The distance between the plates is h and the width of the plate is b . Assuming that the flow is laminar, two-dimensional and fully
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Liquid is pushed through the narrow gap formed between two glass plates. The
distance between the plates is h and the width of the plate is b . Assuming that the
flow is laminar, two-dimensional and fully developed, derive a formula for the
longitudinal pressure gradient in terms of the volumetric flow rate, Q, the fluid viscosity
and the distances b and h .
In an example the above conditions apply with b = 0.10 m and h = 0.00076 m. The
liquid is glycerine that has an absolute viscosity of 0.96 N s/m². A pressure difference
of 192 kN/m² is applied over a distance of 0.24 m. Calculate the maximum velocity that
occurs in the centre plane of the gap and the mean velocity.
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