ANALYSIS OF MOTION AND SHAPE OF NON-NEWTONIAN FALLING DROPS INA VISCOUS LIQUID

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NOROUZI MAHMOD; ZARE VAMERZANI BEHROZ; FIROOZABADI BAHAR

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Journal: Modares Mechanical Engineering Year:2015 | Volume:14 | Issue:13 Page(s): 183-190

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Title

ANALYSIS OF MOTION AND SHAPE OF NON-NEWTONIAN FALLING DROPS INA VISCOUS LIQUID

Author(s)

NOROUZI MAHMOD | ZARE VAMERZANI BEHROZ | FIROOZABADI BAHAR | Issue Writer Certificate

Keywords

NON-NEWTONIAN DROPQ2

UCM MODELQ2

DEBORAH NUMBERQ3

PERTURBATION TECHNIQUEQ2

Abstract

In this paper, steady creeping motion of non-Newtonian falling drop through a viscous fluid is investigated analytically. Here, the Upper Convected Maxwell model (UCM) is used for drop phase and Newtonian model is considered for external fluid. The PERTURBATION TECHNIQUE is used to solve both exterior and interior flows and DEBORAH NUMBER, which indicate the elastic effect is considered as the perturbation parameter. The present solution is derived up to second order of perturbation parameter so this solution has suitable accuracy for drops made from dilute polymeric solutions. It was found that the Newtonian drop has a spherical shape during the creeping motion but the NON-NEWTONIAN DROP loses this shape and takes an oblate form. By increasing the elastic effect, a dimple at the rear end of the drop is created and developed. Here, it is shown that the present results have better agreement with experimental data than the previous analytical studies. The origin of drop deformation is also considered and it is proved that the elastic property of drop phase creates a concentrated normal stress at the rear end of the drop that causes the dimple shape in this region.

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APA: Copy

NOROUZI, MAHMOD, ZARE VAMERZANI, BEHROZ, & FIROOZABADI, BAHAR. (2015). ANALYSIS OF MOTION AND SHAPE OF NON-NEWTONIAN FALLING DROPS INA VISCOUS LIQUID. MODARES MECHANICAL ENGINEERING, 14(13), 183-190. SID. https://sid.ir/paper/179719/en

Vancouver: Copy

NOROUZI MAHMOD, ZARE VAMERZANI BEHROZ, FIROOZABADI BAHAR. ANALYSIS OF MOTION AND SHAPE OF NON-NEWTONIAN FALLING DROPS INA VISCOUS LIQUID. MODARES MECHANICAL ENGINEERING[Internet]. 2015;14(13):183-190. Available from: https://sid.ir/paper/179719/en

IEEE: Copy

MAHMOD NOROUZI, BEHROZ ZARE VAMERZANI, and BAHAR FIROOZABADI, “ANALYSIS OF MOTION AND SHAPE OF NON-NEWTONIAN FALLING DROPS INA VISCOUS LIQUID,” MODARES MECHANICAL ENGINEERING, vol. 14, no. 13, pp. 183–190, 2015, [Online]. Available: https://sid.ir/paper/179719/en

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