Low Reynolds number flow in a channel with oscillating wavy-walls: An analytical study

Aaron M. Thomas; Gatwech K. Thich; R. Narayanan

doi:10.1016/j.ces.2006.05.020

Low Reynolds number flow in a channel with oscillating wavy-walls: An analytical study

Aaron M. Thomas, Gatwech K. Thich, R. Narayanan

Chemistry

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

An analytical study using perturbation methods has been investigated on the flow profiles and power requirements in an oscillating flow field with a wavy-walled boundary. The velocity field is found for a fluid in between two wavy-walled plates that oscillate in phase. The wavy-walled boundary causes the flow to produce regions of recirculations within the recesses of the boundary. Once the velocity profiles are identified, the power required to drive the oscillatory fluid motion is then calculated and compared to a flat plate geometry without recesses. As expected, the analytical results show that more power is needed to drive a wavy-walled system than a flat plate configuration.

Original language	English
Pages (from-to)	6047-6056
Number of pages	10
Journal	Chemical Engineering Science
Volume	61
Issue number	18
DOIs	https://doi.org/10.1016/j.ces.2006.05.020
State	Published - Sep 2006

Funding

This work is support by NASA Grant #NNC04GA77G.

Funders	Funder number
National Aeronautics and Space Administration	04GA77G

Keywords

Fluid mechanics
Laminar flow
Mathematical modeling
Momentum transfer
Oscillating flow
Perturbation methods

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10.1016/j.ces.2006.05.020

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title = "Low Reynolds number flow in a channel with oscillating wavy-walls: An analytical study",

abstract = "An analytical study using perturbation methods has been investigated on the flow profiles and power requirements in an oscillating flow field with a wavy-walled boundary. The velocity field is found for a fluid in between two wavy-walled plates that oscillate in phase. The wavy-walled boundary causes the flow to produce regions of recirculations within the recesses of the boundary. Once the velocity profiles are identified, the power required to drive the oscillatory fluid motion is then calculated and compared to a flat plate geometry without recesses. As expected, the analytical results show that more power is needed to drive a wavy-walled system than a flat plate configuration.",

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author = "Thomas, {Aaron M.} and Thich, {Gatwech K.} and R. Narayanan",

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T2 - An analytical study

AU - Thomas, Aaron M.

AU - Thich, Gatwech K.

AU - Narayanan, R.

N1 - Funding Information: This work is support by NASA Grant #NNC04GA77G.

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Y1 - 2006/9

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AB - An analytical study using perturbation methods has been investigated on the flow profiles and power requirements in an oscillating flow field with a wavy-walled boundary. The velocity field is found for a fluid in between two wavy-walled plates that oscillate in phase. The wavy-walled boundary causes the flow to produce regions of recirculations within the recesses of the boundary. Once the velocity profiles are identified, the power required to drive the oscillatory fluid motion is then calculated and compared to a flat plate geometry without recesses. As expected, the analytical results show that more power is needed to drive a wavy-walled system than a flat plate configuration.

KW - Fluid mechanics

KW - Laminar flow

KW - Mathematical modeling

KW - Momentum transfer

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Low Reynolds number flow in a channel with oscillating wavy-walls: An analytical study

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