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6.13 Fluid at a uniform speed U flows into a channel between two parallel plates a distance d apart. A laminar boundary layer grows on each plate. (a) At approximately what distance from the inlet will the two boundary layers first touch? (b) If the flow remains laminar, qualitatively sketch the velocity distribution between the plates a long distance after the boundary layers meet, noting that the mass flow rate is constant along the channel. [(a) x/d = 0.01 (Ud/v).]

6.13 Fluid at a uniform speed U flows into a channel between two parallel plates a distance d apart. A laminar boundary layer grows on each plate. (a) At approximately what distance from the inlet will the two boundary layers first touch? (b) If the flow remains laminar, qualitatively sketch the velocity distribution between the plates a long distance after the boundary layers meet, noting that the mass flow rate is constant along the channel. [(a) x/d = 0.01 (Ud/v).]

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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6.13 from A Heat Transfer Textbook fifth edition
+ (0.0468/Pr) 6.11 Use an integral method to develop a prediction of Nux for a laminar b.l. over a uniform heat flux surface that will be valid for all fluids other than liquid metals. Compare your result to eqn. (6.71). What temperature difference does your result give at the leading edge of the surface? 6.12 Verify that eqn. (6.118) follows from eqn. (6.117). 8.2 6.13 Fluid at a uniform speed U flows into a channel between two parallel plates a distance d apart. A laminar boundary layer grows on each plate. (a) At approximately what distance from the inlet will the two boundary layers first touch? (b) If the flow remains laminar, ook qualitatively sketch the velocity distribution between the plates a long distance after the boundary layers meet, noting that the mass flow rate is constant along the channel. [(a) x/d ≈ 0.01 (Ud/v).] penals Drop SIBIG 6.14 Execute the differentiation in eqn. (6.24) with the help of Leibnitz's rule for the differentiation of an integral and show that the equation before it is the result.ad oal 6.15 Liquid at 23°C flows at 2 m/s over a smooth, sharp-edged, flat surface 12 cm in length which is kept at 57°C. Calculate h at the
Transcribed Image Text:+ (0.0468/Pr) 6.11 Use an integral method to develop a prediction of Nux for a laminar b.l. over a uniform heat flux surface that will be valid for all fluids other than liquid metals. Compare your result to eqn. (6.71). What temperature difference does your result give at the leading edge of the surface? 6.12 Verify that eqn. (6.118) follows from eqn. (6.117). 8.2 6.13 Fluid at a uniform speed U flows into a channel between two parallel plates a distance d apart. A laminar boundary layer grows on each plate. (a) At approximately what distance from the inlet will the two boundary layers first touch? (b) If the flow remains laminar, ook qualitatively sketch the velocity distribution between the plates a long distance after the boundary layers meet, noting that the mass flow rate is constant along the channel. [(a) x/d ≈ 0.01 (Ud/v).] penals Drop SIBIG 6.14 Execute the differentiation in eqn. (6.24) with the help of Leibnitz's rule for the differentiation of an integral and show that the equation before it is the result.ad oal 6.15 Liquid at 23°C flows at 2 m/s over a smooth, sharp-edged, flat surface 12 cm in length which is kept at 57°C. Calculate h at the
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