Mass transfer from a solid sphere to power law fluids in creeping flow

Hyde, Michael A.; Donatelli, Alfred A.

doi:10.1021/i100012a023

Cited by 8 publications

(2 citation statements)

References 6 publications

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“…The rate of mass transfer between power‐law liquids and spherical particles was experimentally studied by Kumar and colleagues up to Re = 1000 and they reported the correlation given below

S h_{a v g} = S h_{0} + 0.8869 Re^{1 / 2} S c^{1 / 3},

where Sh o is the natural convective Sherwood number. Similar experiments were conducted by Hyde and Donatelli ; however, the two results deviate significantly due to differences in diffusion coefficients and ranges of Reynolds numbers used, and . The rate of mass transfer between a viscoelastic polymer solution and solid spheres was experimentally obtained by Ogawa and colleagues for the range of 1 ≤ Re ≤ 200 and 1 ≤ N e ≤ 600 and reported the following empirical equation on the basis of their experimental results

S h_{a v g} = 1.5 Re^{((), \frac{n + 2}{3 (n + 1)})} S c^{1 / 3} N {_{e}}^{- 0.15},

where N e = ρ U 2 / G .…”

Section: Literature Reviewmentioning

confidence: 67%

Heat Transfer from Confined Contaminated Bubbles to Power‐Law Liquids at Low to Moderate Reynolds and Prandtl Numbers

Kishore

Nalajala

2016

Heat Trans. Asian Res.

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In this work combined effects of the wall confinement and the power-law fluid viscosity on the heat transfer phenomena of contaminated bubbles are reported through numerical investigations. In order to delineate the effect of insoluble surfactants the spherical stagnant cap model is adopted. The solver is thoroughly validated by comparing the present results with their literature counterparts. Further, extensive new results are reported on the isotherm contours and average Nusselt numbers of confined contaminated bubbles in the range of conditions: Reynolds number, Re: 0.1 to 200; Prandtl number, Pr: 1 to 1000; power-law index, n: 0.2 to 1.6 and stagnant cap angle, : 0 to 180°. Briefly, results are indicative of the following observations. The temperature contours are increasingly sucked towards the rear end of the bubble with the increase in Reynolds number and/or with the increase in Prandtl number and/or with the decrease in power-law index and/or with the decrease in stagnant cap angle. At Re ≤ 1 and Pr ≤ 10, the average Nusselt number is almost independent of power-law indices and the stagnant cap angle. For Pe > 10, regardless of values of the confinement ratio and Reynolds number, for ≥ 60 the average Nusselt number decreases with an increasing stagnant cap angle whereas for < 60 the effect of contamination is found to be insignificant. The increase in the average Nusselt number with an increasing confinement ratio would occur only at moderate to large values of Reynolds and Prandtl numbers regardless of the values of the power-law index provided that ≥ 60°. C⃝ 2016 Wiley Periodicals, Inc. Heat Trans Asian Res, 46 (7): 681-702, 2017; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj).

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“…The rate of mass transfer between power‐law liquids and spherical particles was experimentally studied by Kumar and colleagues up to Re = 1000 and they reported the correlation given below

S h_{a v g} = S h_{0} + 0.8869 Re^{1 / 2} S c^{1 / 3},

S h_{a v g} = 1.5 Re^{((), \frac{n + 2}{3 (n + 1)})} S c^{1 / 3} N {_{e}}^{- 0.15},

where N e = ρ U 2 / G .…”

Section: Literature Reviewmentioning

confidence: 67%

Heat Transfer from Confined Contaminated Bubbles to Power‐Law Liquids at Low to Moderate Reynolds and Prandtl Numbers

Kishore

Nalajala

2016

Heat Trans. Asian Res.

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“…Ogawa et al25 carried out an experimental study to determine the effects of viscoelasticity on forced convection mass transfer around a sphere and a cylinder for Reynolds number ranging from 1 to 200. Similarly, Hyde and Donatelli26 experimentally studied the mass transfer from benzoic acid spheres to power law fluids in the creeping flow regime. In the studies of Kumar et al24 and Ogawa et al,25 empirical correlations were reported, but none of these has been validated using independent data.…”

Section: Previous Workmentioning

confidence: 99%

Sequelae of axillary lymph node dissection in older women with stage 1 and 2 breast carcinoma

Mandelblatt¹,

Edge²,

Senie³

et al. 2002

Cancer

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BACKGROUND. There are few data on the long-term sequelae of axillary dissection among older breast carcinoma patients. We describe the impact of axillary dissection in a cohort of older women. METHODS. A longitudinal cohort of 571 patients with Stage 1 and 2 breast carcinoma, 67 years and older, diagnosed between 1995 and 1997 from 29 hospitals in five regions, and followed for 2 years. Data were collected from patients and medical charts. The primary outcome was posttreatment quality of life. Generalized estimation equation longitudinal modeling was used to evaluate the outcome, controlling for baseline function, comorbidity, age, clinical status, and other factors. RESULTS. Sixty percent of women reported arm problems at some time in the 2 years after surgery. The cumulative risk of having arm problems 2 years posttreatment was three times higher (95% confidence interval 1.94-4.67) for women who underwent axillary surgery compared with women without axillary surgery, controlling for covariates. The effects of having axillary dissection and arthritis were multiplicative 2 years postsurgery. Arm problems were, in turn, the primary determinate of lower physical and mental functioning (P ϭ 0.0001 and 0.04, respectively), controlling for other factors. Undergoing axillary dissection did not lessen fears about recurrence. CONCLUSIONS. Arm problems after axillary dissection have a consistent negative impact on quality of life, suggesting that the risks may outweigh the potential benefits in this population.

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