Fluid Mechanics: Fundamentals and Applications
Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 15, Problem 18P
To determine

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A structured 4-sided grid and coarse hybrid grid with 4-sided in the region and its advantages.

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A periodic Kármán vortex street is formed when an uniform stream flows over a circular cylinder (Figure Q4). By applying method of repeating variables or Buckingham Pi's Theorem, determine a dimensionless relationship for Kármán vortex shedding frequency (fx.) as a function of free-stream speed (V), fluid density (p), fluid viscosity(u), and cylinder diameter (D). Q4 V D Figure Q4
As shown in the following figure, vortices are shed from the rear of a bluff cylinder placed across a flow. The vortices alternately leave the top and bottom of the cylinder, causing an alternating force normal to the freestream velocity. The vortex shedding frequency, f, depends on the fluid density p, width of the cylinder d, freestream velocity V, and fluid viscosity u. (a) Use Buckingham Pi Theorem to develop a functional relationship for f. Use M, L, t as the primary dimensional. Use p, V, and d as the repeating parameters. (b) Vortex shedding occurs in standard air on two cylinders with a diameter ratio of 2. Determine the velocity ratio for dynamic similarity, and the ratio of vortex shedding frequencies. -Vortices V
Construct a 5-sentence report defining the system, boundary, surrounding and also the function of each illustration.
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Unit Conversion the Easy Way (Dimensional Analysis); Author: ketzbook;https://www.youtube.com/watch?v=HRe1mire4Gc;License: Standard YouTube License, CC-BY