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. Answer 0.06 m/s
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. Answer 0.06 m/s
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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.
Answer 0.06 m/s
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