• Korea-Australia Rheology Journal
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• v.19 no.4
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• pp.201-209
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• 2007

The present paper is concerned with non-isothermal spherical Couette flow of Oldroyd-B fluid in the annular region between two concentric spheres. The inner sphere rotates with a uniform angular velocity while the outer sphere is kept at rest. Moreover, the two spherical boundaries are maintained at fixed temperature values. Hence, the fluid is effect by two heat sources; namely, the viscous heating and the temperature gradient between the two spheres. The viscoelasticity of the fluid is assumed to dominate the inertia such that the latter can be neglected. An approximate analytical solution of the energy and momentum equations is obtained through the expansion of the dynamical fields in power series of Nahme number. The analysis show that, the temperature variation due to the external source appears in the zero order solution and its effect extends to the fluid velocity distribution up to present second order. Viscous heating contributes in the first and second order solutions. In contrast to isothermal case, a first order axial velocity and a second order stream function fields has been appeared. Moreover, at higher orders the temperature distribution depends on the gap width between the two spheres. Finally, there exist a thermal distribution of positive and negative values depend on their positions in the domain region between the two spheres.

• Nuclear Engineering and Technology
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• v.47 no.1
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• pp.126-134
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• 2015

A simple Couette flow velocity profile with an appropriate correlation for the free terminal rise velocity of a single bubble in a quiescent liquid can produce reliable results for the trajectories of small spherical air bubbles in a low-viscosity liquid (water) provided the liquid remains under uniform shear flow. Comparison of the model adopted in this paper with published results has been accomplished. Based on this study it has also been found that the lift coefficient in water is higher than its typical value in a high-viscosity liquid and therefore a modified correlation for the lift coefficient in a uniform shear flow of water within the regime of the $E\ddot{o}tv\ddot{o}s$ number $0.305{\leq}Eo{\leq}1.22$ is also presented.

• The Korean Journal of Rheology
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• v.9 no.4
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• pp.183-189
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• 1997

본 연구에서는 고분자용액을 분산매로한 현탁액 내에서 입자의 수력학적확산에 관 한 실험적인 연구를 수행하여다. 입자로는 평균직경 275마이크론의 polymethlmethacrylate (PMMA)구형입자를 사용하였고, 분산매로는 PMMA 입자와 밀도르 맞춘 글리세린과 에틸 렌글리콜의 혼합용액에 고분자를 첨가하여 사용하였다. 고분자로는 분자량 6백만의 시약용 폴리아크릴아마이드를 사용하였다. 입자농도는 50%이었다. 용액의 농도는 0∼700ppm이었으 며 이러한 용액은 전단박화현상을 나타내지 않았다. 확산계수는 쿠엣장치 내에서 입자가 두 원통사이에서 아래쪽의 빈 공간으로 확산할 때 시간에 따른 점도측정결과로부터 예측하여 다. 본 연구의 결과 뉴튼성유체의 경우와는 달리 무차원확산계수(D/2)가 일정하지 않으며 전단율이 증가될수록 점점 감소하는 현상을 나타내었다. 고분자의 농도가 증가하는 경우에 는 무차원 확산계수가 감솨는 것을 볼수있었다. 이러한 무차원 확산계수의 감소는 유동하는 현탁액 내에서 입자간의 상호작용이 뉴튼성유체에 비하여 가역적인 것에 기인하는 것으로 판단된다.