Perturbation Solution of the Steady Newtonian Flow in the Cone and Plate and Parallel Plate Systems

Turian, Raffi M.

doi:10.1021/i160043a014

Cited by 53 publications

(23 citation statements)

References 6 publications

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“…It has been found that for Newtonian fluids the viscosity increases significantly (∼5%) due to secondary flow when the Reynolds number (R E ), defined by Eq. (16), is about 100 by using the method of Turian [18]. This provides a suitable criterion on which to limit rheological measurements.…”

Section: General Errorsmentioning

confidence: 99%

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Thin film and high shear rheology of multiphase complex fluids

Davies

Stokes

2008

Journal of Non-Newtonian Fluid Mechanics

112

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Section: General Errorsmentioning

confidence: 99%

“…A method for the determination of the gap error using Newtonian fluids is described by Krammer et al [21], as detailed by Eqs. (17) and (18). This assumes that the sum of the error (ε) and the commanded set gap (δ) gives the true gap (h = δ + ε).…”

Section: Gap Errorsmentioning

confidence: 99%

Thin film and high shear rheology of multiphase complex fluids

Davies

Stokes

2008

Journal of Non-Newtonian Fluid Mechanics

112

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“…(ii) Inertia effects (secondary flow): Although the mathematical analyses of inertia effects [4] may be useful in estimating their likely orders of magnitude (especially when inertia effects are considerable), it would be misleading to seek quantitative significance in the predictions as explained in [5]. In addition to the fact that the inertia effects were not observable in our reported shear rate range [2], it should be noted that Turian's analysis for the inertia effects [4] was for systems not bounded by free surfaces.…”

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confidence: 99%

Choi and Kim Reply:

2006

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Choi and Kim Reply: The preceding Comment [1] correctly points out three potential errors in the rheometry experiment. Although the details were not in [2], the analysis and treatment of errors had been considered in the implementation of the study, with the conclusion that the experiments were valid.(i) Uncertainty in the rheometry system: Since the issue of controllability of temperature was discussed in [2] (uncertainty of 2 m in slip length or 0:3% in torque), here we discuss the next two issues in the system: torque resolution and gap sizing. The torque resolution of the AR 2000 system (1 nN m [3]) is less than 0.05% of the torque covered in our experiment (2-15 N m), making

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“…[12][13][14][15][16][17] Analytical solutions have been attempted for Newtonian fluids. 13 Turian 14,15 has developed a relationship between the Reynolds number (Re = ⍀R 2 /, where = fluid density, R = cone radius, and = fluid viscosity) and torque for Re 2 < 1000. Numerical solutions have been provided by Fewell and Hellums, 16 and by Hou,17 using a finite difference technique to model the flow in a truncated cone-and-plate system.…”

Section: Introductionmentioning

confidence: 99%

A cone-and-plate device for the investigation of platelet biomaterial interactions

Skarja

Kinlough-Rathbone

Perry

et al. 1997

J. Biomed. Mater. Res.

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A device based on the cone-and-plate flow geometry commonly employed for viscometry was developed for the investigation of cell-surface interactions. The cone-and-plate geometry is capable of generating uniform, constant shear-rate flow fields, and control of cone rotational speed allows for easy variation of fluid shear rate. The current design is adapted for use with any material that is available in the form of a flat plate (film or coating). It also allows for replicate samples (the same or different surfaces) to be evaluated simultaneously. The device was tested under varying flow conditions for its ability to measure platelet adhesion from suspensions of washed platelets containing red cells. Collagen- and albumin-coated polymer materials were used as "standard" surfaces of known platelet reactivity (high and low, respectively). Adhesion to the collagen-coated surface was measured over a range of shear rate from 0 to 300 s(-1) and times up to 15 min. Platelet adhesion was observed to increase with increasing shear rate and time. Adhesion was significantly higher in the presence of red cells as has been observed by others. Effective platelet diffusion coefficients, calculated from the data on adhesion to the collagen surface, increased with increasing shear rate. Very little platelet adhesion to the albumin-coated surface, known to be unreactive to platelets, was observed when measured over a 15 min time period at 300 s(-1) shear rate, indicating that the device itself does not stimulate the platelets in the flow field. The data generated provide validation for this device as a simple means of measuring cell adhesion under controlled flow conditions to any smooth surface available in flat plate form.

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Perturbation Solution of the Steady Newtonian Flow in the Cone and Plate and Parallel Plate Systems

Cited by 53 publications

References 6 publications

Thin film and high shear rheology of multiphase complex fluids

Thin film and high shear rheology of multiphase complex fluids

Choi and Kim Reply:

A cone-and-plate device for the investigation of platelet biomaterial interactions

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