Heat transfer and Couette flow of a chemically reacting non-linear fluid

Uguz, A. Kerem; Massoudi, Mehrdad

doi:10.1002/mma.1250

Cited by 4 publications

(3 citation statements)

References 32 publications

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“…The governing equations of motion used throughout this analysis are the conservation of mass, linear momentum, convection-diffusion, and energy equations [56][57][58]. The conservation of mass equation, also known as the continuity equation for species, is derived from Fick's first law of diffusion (Equation (3)).…”

Section: Governing Equationsmentioning

confidence: 99%

Hollow Fiber Membrane Contactors for Post-Combustion Carbon Capture: A Review of Modeling Approaches

et al. 2020

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Hollow fiber membrane contactors (HFMCs) can effectively separate CO2 from post-combustion flue gas by providing a high contact surface area between the flue gas and a liquid solvent. Accurate models of carbon capture HFMCs are necessary to understand the underlying transport processes and optimize HFMC designs. There are various methods for modeling HFMCs in 1D, 2D, or 3D. These methods include (but are not limited to): resistance-in-series, solution-diffusion, pore flow, Happel’s free surface model, and porous media modeling. This review paper discusses the state-of-the-art methods for modeling carbon capture HFMCs in 1D, 2D, and 3D. State-of-the-art 1D, 2D, and 3D carbon capture HFMC models are then compared in depth, based on their underlying assumptions. Numerical methods are also discussed, along with modeling to scale up HFMCs from the lab scale to the commercial scale.

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Section: Governing Equationsmentioning

confidence: 99%

Hollow Fiber Membrane Contactors for Post-Combustion Carbon Capture: A Review of Modeling Approaches

et al. 2020

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“…A sub-class of the GNF models is the chemically reacting fluids which offer many technological applications ranging from the formation of thin films for electronics, combustion reactions, catalysis, biological systems, etc. (Uguz & Massoudi, 2010). Recently, Bridges & Rajagopal (2006) have proposed constitutive relations for chemically reacting fluids where…”

Section: Stress Tensor and Viscous Dissipationmentioning

confidence: 99%

Heat Transfer in Complex Fluids

Massoudi¹

2011

Two Phase Flow, Phase Change and Numerical Modeling

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“…Modeling biofluids is very complicated as there are many changes that take place. Consequently, one method of modeling a biofluid is to consider it as a chemically reacting fluid and focus on the concentration of the compound-of-interest [6,[19][20][21][22], e.g., hyaluronic acid. Bridges et al [20] studied the pulsating synovial flow in an annular region between two cylinders.…”

Section: Introductionmentioning

confidence: 99%

A Model of Synovial Fluid with a Hyaluronic Acid Source: A Numerical Challenge

Ozan

Labrosse

Uguz

2021

Fluids

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Initially motivated by the analysis of the flow dynamics of the synovial fluid, taken as non-Newtonian, this paper also reports on a numerical challenge which occurred unexpectedly while solving the momentum equation of the model. The configuration consists of two infinitely long horizontal parallel flat plates where the top plate is sheared at constant speed and the bottom plate is fixed. The synovial fluid shows a shear-thinning rheology, and furthermore it thickens with the hyaluronic acid (HA) concentration, i.e., it is also chemically-thickening. Accordingly, a modified Cross model is employed to express the shear rate and concentration-dependent viscosity, whose parameter values are determined from experimental data. Another significance of the study is the investigation of the effect of an external stimulus on the flow dynamics via a HA source term. The resulting flow exhibits peculiar features resulting from extremely large and small, but positive, numerical quantities, such as the viscosity and the shear rates. This requires constructing a parametrized zero-machine level solver, up to 300 accurate digits or so, for capturing the correct length scales of the flow physics. As a conclusion, the physical model, although simple, but original, leads to interesting results whose numerical determination turns out to be successful only once the real cause of the numerical trap is identified.

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Heat transfer and Couette flow of a chemically reacting non-linear fluid

Cited by 4 publications

References 32 publications

Hollow Fiber Membrane Contactors for Post-Combustion Carbon Capture: A Review of Modeling Approaches

Hollow Fiber Membrane Contactors for Post-Combustion Carbon Capture: A Review of Modeling Approaches

Heat Transfer in Complex Fluids

A Model of Synovial Fluid with a Hyaluronic Acid Source: A Numerical Challenge

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