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Journal of Heat Transfer | Volume 127 | Issue 12 | Research Paper
RESEARCH PAPERS: Heat Transfer Enhancement

Heat Transfer Enhancement by Acoustic Streaming in an Enclosure

[+] Author and Article Information
Murat K. Aktas, Yiqiang Lin

Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, Pennsylvania 19104

Bakhtier Farouk1

Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, Pennsylvania 19104bfarouk@coe.drexel.edu

1

Corresponding author.

J. Heat Transfer 127(12), 1313-1321 (Jun 27, 2005) (9 pages) doi:10.1115/1.2098858 History: Received December 13, 2004; Revised June 27, 2005
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Thermal convection in a differentially heated shallow enclosure due to acoustic excitations induced by the vibration of a vertical side wall is investigated numerically. The fully compressible form of the Navier-Stokes equations is considered and an explicit time-marching algorithm is used to track the acoustic waves. Numerical solutions are obtained by employing a highly accurate flux corrected transport algorithm. The frequency of the wall vibration is chosen such that an acoustic standing wave forms in the enclosure. The interaction of the acoustic standing waves and the fluid properties trigger steady secondary streaming flows in the enclosure. Simulations were also carried out for “off-design” vibration frequency where no standing waves were formed. The effects of steady second order acoustic streaming structures are found to be more significant than the main oscillatory flow field on the heat transfer rates. The model developed can be used for the analysis of flow and temperature fields driven by acoustic transducers and in the design of high performance resonators for acoustic compressors.
Copyright © 2005 by American Society of Mechanical Engineers
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+Schematic of the problem
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Schematic of the problem
Figure 1

Schematic of the problem

Grahic Jump Location
+Variation of the x component of the streaming velocity at x=3L∕4 along the height of the enclosure
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Variation of the x component of the streaming velocity at x=3L∕4 along the height of the enclosure
Figure 6

Variation of the x component of the streaming velocity at x=3L∕4 along the height of the enclosure

Grahic Jump Location
+Variation of u velocity along the horizontal mid-plane of the enclosure at two different instants (ωt=0,π∕2) during the acoustic cycle starting at t=5ms (Case 1)
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Variation of u velocity along the horizontal mid-plane of the enclosure at two different instants (ωt=0,π∕2) during the acoustic cycle starting at t=5ms (Case 1)
Figure 2

Variation of u velocity along the horizontal mid-plane of the enclosure at two different instants (ωt=0,π∕2) during the acoustic cycle starting at t=5ms (Case 1)

Grahic Jump Location
+Variation of wall shear stress along the bottom wall of the enclosure near t=5.0ms (Case 1)
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Variation of wall shear stress along the bottom wall of the enclosure near t=5.0ms (Case 1)
Figure 3

Variation of wall shear stress along the bottom wall of the enclosure near t=5.0ms (Case 1)

Grahic Jump Location
+Variation of pressure along the horizontal mid-plane of the enclosure at four different instant (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 1)
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Variation of pressure along the horizontal mid-plane of the enclosure at four different instant (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 1)
Figure 4

Variation of pressure along the horizontal mid-plane of the enclosure at four different instant (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 1)

Grahic Jump Location
+Flow field in the enclosure based on the time averaged velocities at t=5ms (Case 1)
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Flow field in the enclosure based on the time averaged velocities at t=5ms (Case 1)
Figure 5

Flow field in the enclosure based on the time averaged velocities at t=5ms (Case 1)

Grahic Jump Location
+Temporal variation of the time averaged left wall heat transfer coefficient (Case 2)
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Temporal variation of the time averaged left wall heat transfer coefficient (Case 2)
Figure 14

Temporal variation of the time averaged left wall heat transfer coefficient (Case 2)

Grahic Jump Location
+Variation of temperature along the horizontal mid-plane of the enclosure at four different instants (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 1)
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Variation of temperature along the horizontal mid-plane of the enclosure at four different instants (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 1)
Figure 7

Variation of temperature along the horizontal mid-plane of the enclosure at four different instants (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 1)

Grahic Jump Location
+Time (cycle) averaged temperature profile along the horizontal mid-plane of the enclosure at t=5ms (Case 1)
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Time (cycle) averaged temperature profile along the horizontal mid-plane of the enclosure at t=5ms (Case 1)
Figure 8

Time (cycle) averaged temperature profile along the horizontal mid-plane of the enclosure at t=5ms (Case 1)

Grahic Jump Location
+Temporal variation of the left wall average heat transfer coefficient (Case 1)
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Temporal variation of the left wall average heat transfer coefficient (Case 1)
Figure 9

Temporal variation of the left wall average heat transfer coefficient (Case 1)

Grahic Jump Location
+Temporal variation of the cycle averaged left wall heat transfer coefficient (Case 1)
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Temporal variation of the cycle averaged left wall heat transfer coefficient (Case 1)
Figure 10

Temporal variation of the cycle averaged left wall heat transfer coefficient (Case 1)

Grahic Jump Location
+Flow field in the enclosure based on the time averaged velocities at t=5ms (Case 2)
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Flow field in the enclosure based on the time averaged velocities at t=5ms (Case 2)
Figure 11

Flow field in the enclosure based on the time averaged velocities at t=5ms (Case 2)

Grahic Jump Location
+Comparison of the x component of the time (cycle) averaged velocity values along the vertical plane (at x=6.8mm) of the enclosure for Case 1 and Case 2
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Comparison of the x component of the time (cycle) averaged velocity values along the vertical plane (at x=6.8mm) of the enclosure for Case 1 and Case 2
Figure 12

Comparison of the x component of the time (cycle) averaged velocity values along the vertical plane (at x=6.8mm) of the enclosure for Case 1 and Case 2

Grahic Jump Location
+Temporal variation of the left wall heat transfer coefficient (Case 2)
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Temporal variation of the left wall heat transfer coefficient (Case 2)
Figure 13

Temporal variation of the left wall heat transfer coefficient (Case 2)

Grahic Jump Location
+Variation of temperature along the horizontal mid-plane of the enclosure at four different instants (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 3)
View Large  |  Save Figure  |  Download Slide (.ppt)
Variation of temperature along the horizontal mid-plane of the enclosure at four different instants (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 3)
Figure 15

Variation of temperature along the horizontal mid-plane of the enclosure at four different instants (ωt=0,π∕2,π,3π∕2) during the acoustic cycle starting at t=5ms (Case 3)

Grahic Jump Location
+Time averaged temperature profile along the horizontal mid-plane of the enclosure near t=5ms (Case 3)
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Time averaged temperature profile along the horizontal mid-plane of the enclosure near t=5ms (Case 3)
Figure 16

Time averaged temperature profile along the horizontal mid-plane of the enclosure near t=5ms (Case 3)

Grahic Jump Location
+Temporal variation of the time averaged right wall heat transfer coefficient (Case 3)
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Temporal variation of the time averaged right wall heat transfer coefficient (Case 3)
Figure 17

Temporal variation of the time averaged right wall heat transfer coefficient (Case 3)

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