Numerical simulations of two-dimensional flow and species transport in a peristaltically driven closed mixer are performed as a function of the Reynolds number and the normalized traveling wave amplitude at low to moderate Schmidt number conditions. The mixer consists of a rectangular box with a traveling wave motion induced on its bottom surface. Flow and species mixing are produced by the surface motion. The numerical algorithm, based on an arbitrary Lagrangian–Eulerian spectral element formulation, is verified using the asymptotic solutions for small wave amplitude cases. Kinematics of large-deformation conditions are studied as a function of the Reynolds number. Species mixing is simulated at various and conditions. Mixing index inverse is utilized to characterize the mixing efficiency, where is observed as the long-time behavior. Simulation data are utilized to determine the exponent at various and conditions. For all simulations, , typical of partially chaotic flows, have been observed. The effect of flow kinematics and species diffusion on mixing is interpreted.
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e-mail: abeskok@odu.edu
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November 2007
Technical Papers
Numerical Simulations of Peristaltic Mixing
Saurabh Kumar,
Saurabh Kumar
Aerospace Engineering Department,
Old Dominion University
, Norfolk, VA 23529-0247
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Ho Jun Kim,
Ho Jun Kim
Aerospace Engineering Department,
Old Dominion University
, Norfolk, VA 23529-0247
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Ali Beskok
Ali Beskok
Aerospace Engineering Department,
e-mail: abeskok@odu.edu
Old Dominion University
, Norfolk, VA 23529-0247
Search for other works by this author on:
Saurabh Kumar
Aerospace Engineering Department,
Old Dominion University
, Norfolk, VA 23529-0247
Ho Jun Kim
Aerospace Engineering Department,
Old Dominion University
, Norfolk, VA 23529-0247
Ali Beskok
Aerospace Engineering Department,
Old Dominion University
, Norfolk, VA 23529-0247e-mail: abeskok@odu.edu
J. Fluids Eng. Nov 2007, 129(11): 1361-1371 (11 pages)
Published Online: June 6, 2007
Article history
Received:
December 28, 2005
Revised:
June 6, 2007
Citation
Kumar, S., Kim, H. J., and Beskok, A. (June 6, 2007). "Numerical Simulations of Peristaltic Mixing." ASME. J. Fluids Eng. November 2007; 129(11): 1361–1371. https://doi.org/10.1115/1.2786480
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