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Research Papers: Fundamental Issues and Canonical Flows

Microscale Flow Through Channels With a Right-Angled Bend: Effect of Fillet Radius

[+] Author and Article Information
V. Raghavan1

Thermodynamics and Combustion Laboratory, Department of Mechanical Engineering, Indian Institute of Technology Madras, Tamilnadu, Chennai 600 036, India

B. Premachandran

 AECI Pvt. Limited, Old Madras Road, Karnataka, Bangalore 560 016, India

1

Corresponding author.

J. Fluids Eng 130(10), 101207 (Sep 12, 2008) (6 pages) doi:10.1115/1.2969455 History: Received December 02, 2007; Revised June 04, 2008; Published September 12, 2008

Microscale gas flow through channels with a right-angled bend has been numerically analyzed to study the effect of the fillet radius on flow characteristics. The flow is assumed to be incompressible, laminar, and hydrodynamically developing. The fillet radius has been varied from zero, representing a sharp corner, to 0.6 times the height of the channel. The Knudsen number has been varied from zero, representing no-slip at the boundary, to 0.1, which is the limiting case for the slip-flow regime. A low Reynolds number of value 1 has been considered in the present study, which makes the flow to be within the incompressible slip-flow regime. The flow characteristics in terms of velocity profiles, velocity vectors, and the pressure ratio between the inlet and outlet of the channel have been presented for several cases. Results show that for the case of the fillet radius equal to zero, the flow separation occurs after the bend and due to this, the exit velocity profile changes significantly. The highest pressure ratio between the inlet and the outlet is required to maintain a specific mass flow rate for this case. The cases with a nonzero fillet radius exhibit exit velocity profiles identical to that of a straight channel. The pressure ratio decreases when the fillet radius and the Knudsen number are increased.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Flow through a microchannel with a right-angled bend: effect of the 3D flow

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Figure 2

Computational domain for the microbend; r varies from 0 to 0.6H, sections where profiles are plotted are shown by 1-1, 2-2, 3-3, and 4-4

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Figure 3

Validation of the numerical model results with the analytical solution with different grids; Re=1, Kn=0.10

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Figure 4

Validation of the numerical results with the analytical solution (9); Re=1, various Kn

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Figure 5

(a) Profile of the velocity v at Section 4 and (b) profile of the nondimensional velocity v at Section 2 for Re=1, Kn=0.05, and r=0.4H using different transverse direction grids

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Figure 6

Profiles of velocities at (a) Section 1 and (b) and (c) Section 2 for Re=1, Kn=0.05 and different bend radii

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Figure 7

Velocity vectors at various sections (a) r=0.0 and (b) r=0.6H for Re=1 and Kn=0.05

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Figure 8

Profiles of u and v-velocities at (a) and (b) Section 3 and (c) and (d) Section 4 for Re=1, Kn=0.05, and different bend radii (r=0–0.6H)

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Figure 9

Variation of p∕pout along the channel center line for various bend radii; Re=1, Kn=0.05

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Figure 10

Profiles of velocities at Section 2: (a) u and (b) v for Re=1, r=0.0, and different Kn

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Figure 11

Profiles of velocities at Section 2: (a) u and (b) v for Re=1, r=0.6H, and different Kn

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Figure 12

Variation of p∕pout along the channel center line for various Kn values; Re=1 and (a) r=0.0 and (b) r=0.6H

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