Residence time distributions of power law fluids in motionless mixers

Nigam, K.D.P.; Nauman, E. Bruce

doi:10.1002/cjce.5450630322

Cited by 24 publications

(11 citation statements)

References 4 publications

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“…12,13 Investigations using non-Newtonian fluids are scarce and mostly confined to power-law fluids. 4,[13][14][15] A better understanding of the transport properties of non-Newtonian duct flows would be beneficial.…”

Section: Introductionmentioning

confidence: 99%

Topological mixing study of non-Newtonian duct flows

2006

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Tracer advection of non-Newtonian fluids in reoriented duct flows is investigated in terms of coherent structures in the web of tracer paths that determine transport properties geometrically. Reoriented duct flows are an idealization of in-line mixers, encompassing many micro and industrial continuous mixers. The topology of the tracer dynamics of reoriented duct flows is Hamiltonian. As the stretching per reorientation increases from zero, we show that the qualitative route from the integrable state to global chaos and good mixing does not depend on fluid rheology. This is due to a universal symmetry of reoriented duct flows, which we derive, controlling the topology of the tracer web. Symmetry determines where in parameter space global chaos first occurs, while increasing non-Newtonian effects delays the quantitative value of onset. Theory is demonstrated computationally for a representative duct flow, the rotated arc mixing flow.

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Section: Introductionmentioning

confidence: 99%

Topological mixing study of non-Newtonian duct flows

2006

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“…10,11 Investigations involving non-Newtonian fluids are relatively scarce and as a rule confined to powerlaw fluids. 3,[11][12][13] A better, fundamental understanding of nonNewtonian duct flows would be useful for the design of mixers and heat exchangers for viscous fluids. Non-Newtonian flows are often obscured by their complexity, 14 and in this paper we show a scaling analysis on the generic rheological and dynamical behaviors of three-dimensional ͑3D͒ reoriented duct flows for generalized Newtonian fluids that reduces the obscuring complexity over large ranges of control parameter space.…”

Section: Introductionmentioning

confidence: 99%

Flow regime analysis of non-Newtonian duct flows

2006

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Reoriented duct flows of generalized Newtonian fluids are an idealization of non-Newtonian fluid flow in industrial in-line mixers. Based on scaling analysis and computation we find that non-Newtonian duct flows have several limit behaviors, in the sense that such flows can become ͑nearly͒ independent of one or more of the rheological and dynamical control parameters, simplifying the general flow and mixing problem. These limit flows give several levels of modeling complexity to the full problem of non-Newtonian duct flow. We describe the sets of simplified flow models and their corresponding regions of validity. This flow-model decomposition captures the essential rheological and dynamical characteristics of the reoriented duct flows and enables a more efficient and systematic study and design of flow and mixing of non-Newtonian fluids in ducts. Key aspects of the flow-model decomposition are demonstrated via a specific, but representative, duct flow.

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“…A list of commercial static mixers and their applications has been described in literature. [2][3][4][5][6][7] Large Eddy simulations of a compressible turbulent flow through a duct of square cross-section with a discrete heating source is presented in litarature. 8,9 The performance of a newly developed Centrifugal Phase Separator (CPS) is investigated using RANS-based two-phase computational fluid dynamics (CFD) and experimental model studies.…”

Section: Introductionmentioning

confidence: 99%

“…[14][15][16][17][18][19] Most related works considered the aspect of macro-mixing, by elucidating the residence time distribution (RTD) of mixers. 2,4,5,20 RTD cannot properly reflect the complicated flow characteristics in the static mixers. 19 As the flow of fluids through a static mixer undergoes three types mechanisms, namely: (a) flow division, (b) flow reversal and (c) flow combination.…”

Section: Introductionmentioning

confidence: 99%

Regression model for fluid flow in a static mixer

Akila

Balu

2016

Chem. Eng. Res. Bull.

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A regression model for simulating residence time distribution (RTD) of turbulent flows in helical static mixers is proposed and developed to predict the residence time distribution in static mixers. An efficient method is required to estimate the RTD and the sole means of achieving this is through detailed regression model. The RTD was calculated numerically by regression model. The results of the regression model, i.e. predicted RTD is presented in terms of different volumetric flow rate to illustrate the complicated flow patterns that drive the mixing process in helical static mixers. The regression model is found to fit the experimental RTD with a high degree of correlation.

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Residence time distributions of power law fluids in motionless mixers

Cited by 24 publications

References 4 publications

Topological mixing study of non-Newtonian duct flows

Topological mixing study of non-Newtonian duct flows

Flow regime analysis of non-Newtonian duct flows

Regression model for fluid flow in a static mixer

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