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Consider a film of liquid draining at volume flow rate Q down the outside of a verti- cal rod of radius a, as shown in Fig. P3-16. Some distance down the rod, a fully devel- oped region is reached where fluid shear balances gravity and the film thickness remains constant. Assuming incompressible laminar flow and negligible shear inter- action with the atmosphere, find an expression for v₂(r) and a relation between Q and film radius b.

Consider a film of liquid draining at volume flow rate Q down the outside of a verti- cal rod of radius a, as shown in Fig. P3-16. Some distance down the rod, a fully devel- oped region is reached where fluid shear balances gravity and the film thickness remains constant. Assuming incompressible laminar flow and negligible shear inter- action with the atmosphere, find an expression for v₂(r) and a relation between Q and film radius b.

Elements Of Electromagnetics
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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Fully developed region Q Film μ P -Z- a -b- Vz Pa Ma≈ 0 FIGURE P3-16
Transcribed Image Text:Fully developed region Q Film μ P -Z- a -b- Vz Pa Ma≈ 0 FIGURE P3-16
3-16. Consider a film of liquid draining at volume flow rate Q down the outside of a verti- cal rod of radius a, as shown in Fig. P3-16. Some distance down the rod, a fully devel- oped region is reached where fluid shear balances gravity and the film thickness remains constant. Assuming incompressible laminar flow and negligible shear inter- action with the atmosphere, find an expression for v₂(r) and a relation between Q and film radius b.
Transcribed Image Text:3-16. Consider a film of liquid draining at volume flow rate Q down the outside of a verti- cal rod of radius a, as shown in Fig. P3-16. Some distance down the rod, a fully devel- oped region is reached where fluid shear balances gravity and the film thickness remains constant. Assuming incompressible laminar flow and negligible shear inter- action with the atmosphere, find an expression for v₂(r) and a relation between Q and film radius b.
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