Thermocapillary Rheological Flow in a Liquid Jet

Mathematics – Logic

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gradient on the free surface of the liquid jet will induce a thermocapillary flow in addition to the jet flow. The thermocapillary flow may enlarge the cross-section of the jet, and then contributes to explain a part of die swell effect, see, for example, [1,2]. The effect of gravity can be omitted because of the small typical scale of the polymer jet, and the process is similar to the one in the microgravity environment. Usually, the rheological effect is important factor for die swell. In the present paper, the joint effects of thermocapillary flow and the rheological property of weak non-Newtonian fluid are considered [3]. The results show that both effects will enlarge the cross-section of the jet. In the present paper, the approximation of weak non-Newtonian fluid is omitted, and the cross-section may be enlarged more obviously by the effect of non-Newtonian fluid. [1]Hu, W.R., Imaishi, N., Thermocapillary flow in a jet of liquid film painted on a moving boundary, Langmuir, 16 ( 2000) 4632 [2]Hu, W.R., Imaishi, N., Thermocapillary flow in an annular liquid layer painted on a moving fiber, International J. Heat &Mass Transfer, 43 (2000) 4457 [3] painted on a moving boundary, Science in China A, 32 (2002) 289

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