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Velocity profiles and frictional pressure drop for shear thinning materials in lid-driven cavities with fully developed axial flow

Velocity profiles and frictional pressure drop for shear thinning materials in lid-driven cavities with fully developed axial flow
Velocity profiles and frictional pressure drop for shear thinning materials in lid-driven cavities with fully developed axial flow
A finite element numerical study has been carried out on the isothermal flow of power law fluids in lid-driven cavities with axial throughflow. The effects of the tangential flow Reynolds number (ReU), axial flow Reynolds number (ReW), cavity aspect ratio and shear thinning property of the fluids on tangential and axial velocity distributions and the frictional pressure drop are studied. Where comparison is possible, very good agreement is found between current numerical results and published asymptotic and numerical results. For shear thinning materials in long thin cavities in the tangential flow dominated flow regime, the numerical results show that the frictional pressure drop lies between two extreme conditions, namely the results for duct flow and analytical results from lubrication theory. For shear thinning materials in a lid-driven cavity, the interaction between the tangential flow and axial flow is very complex because the flow is dependent on the flow Reynolds numbers and the ratio of the average axial velocity and the lid velocity. For both Newtonian and shear thinning fluids, the axial velocity peak is shifted and the frictional pressure drop is increased with increasing tangential flow Reynolds number. The results are highly relevant to industrial devices such as screw extruders and scraped surface heat exchangers.
numerical modelling, fluid mechanics, processing, non-newtonian fluid, lid-driven cavity, axial flow
0009-2509
4697-4706
Sun, K.-H.
a5121756-b3a0-4a88-81e4-a058604f1290
Pyle, D.L.
2199ef38-3573-4e87-9925-7f067caca1eb
Baines, M.J.
8c52bd72-3cb7-4212-a061-77c7c7fbb4a5
Hall-Taylor, N.
e7f41ba7-6274-4b05-9c44-73625649df86
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Sun, K.-H.
a5121756-b3a0-4a88-81e4-a058604f1290
Pyle, D.L.
2199ef38-3573-4e87-9925-7f067caca1eb
Baines, M.J.
8c52bd72-3cb7-4212-a061-77c7c7fbb4a5
Hall-Taylor, N.
e7f41ba7-6274-4b05-9c44-73625649df86
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab

Sun, K.-H., Pyle, D.L., Baines, M.J., Hall-Taylor, N. and Fitt, A.D. (2006) Velocity profiles and frictional pressure drop for shear thinning materials in lid-driven cavities with fully developed axial flow. Chemical Engineering Science, 61 (14), 4697-4706. (doi:10.1016/j.ces.2006.03.005).

Record type: Article

Abstract

A finite element numerical study has been carried out on the isothermal flow of power law fluids in lid-driven cavities with axial throughflow. The effects of the tangential flow Reynolds number (ReU), axial flow Reynolds number (ReW), cavity aspect ratio and shear thinning property of the fluids on tangential and axial velocity distributions and the frictional pressure drop are studied. Where comparison is possible, very good agreement is found between current numerical results and published asymptotic and numerical results. For shear thinning materials in long thin cavities in the tangential flow dominated flow regime, the numerical results show that the frictional pressure drop lies between two extreme conditions, namely the results for duct flow and analytical results from lubrication theory. For shear thinning materials in a lid-driven cavity, the interaction between the tangential flow and axial flow is very complex because the flow is dependent on the flow Reynolds numbers and the ratio of the average axial velocity and the lid velocity. For both Newtonian and shear thinning fluids, the axial velocity peak is shifted and the frictional pressure drop is increased with increasing tangential flow Reynolds number. The results are highly relevant to industrial devices such as screw extruders and scraped surface heat exchangers.

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More information

Published date: 2006
Keywords: numerical modelling, fluid mechanics, processing, non-newtonian fluid, lid-driven cavity, axial flow

Identifiers

Local EPrints ID: 20987
URI: http://eprints.soton.ac.uk/id/eprint/20987
ISSN: 0009-2509
PURE UUID: 5a03f988-410e-4c4c-b1c7-f39d3c410c9d

Catalogue record

Date deposited: 31 May 2006
Last modified: 08 Jan 2022 09:50

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Contributors

Author: K.-H. Sun
Author: D.L. Pyle
Author: M.J. Baines
Author: N. Hall-Taylor
Author: A.D. Fitt

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