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| Title: Unusual transport along wavy-rough nanotubes |
| Authors: |
| Author Full Names: Chu, Z. Kwang-Hua |
| Source: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 59 (5): 926-933 SEP 2008 |
| Language: English |
| Document Type: Article |
| Author Keywords: Higher shear rate; lower flow resistance; wall corrugations |
| Keywords Plus: CORRUGATED WALLS; SLIP-FLOW; LIQUID |
| Abstract: We adopt the shear-thinning fluid model and boundary perturbation method to study the transport in a radius-corrugated nanotube. We can obtain the flow rate (up to the second order) inside the wavy-rough nanotube. Our results show that for small forcing (along the nanotube-axis direction) there is enhanced transport for wavy-rough nanotubes. Once the forcing is rather large, however, there is small reduction of flow rate (compared to the smooth nanotube). |
| Reprint Address: Chu, ZKH, 24 Lane 260,Sect 1, Rd Muja, Taipei 11646, Taiwan. |
| Research Institution addresses: Hebei Normal Univ, Sch Phys & Informat Engn, Shijiazhuang 050016, Peoples R China |
| Cited References: CHU WKH, 1996, Z ANGEW MATH PHYS, V47, P591. CHU ZKH, 2000, J PHYS D APPL PHYS, V33, P627. CHU ZKH, 2002, EUR J PHYS, V23, L23. CHU ZKH, 2007, ARXIV07072828. CZICHOS H, 2001, MECCANICA, V36, P605. DOWSON D, 1998, MECCANICA, V33, P47. EYRING H, 1936, J CHEM PHYS, V4, P283. KOHLI P, 2006, FABRICATION CHARACTE. LOUCHEV OA, 2002, PHYS REV E 1, V66, ARTN 011601. MELLEFRANCO M, 2006, NANO LETT, V6, P969, DOI 10.1021/nl060154y. NAVIER CLM, 1823, MEMOIRES ACAD ROYALE, V1, P414. ROTKIN SV, 2005, QUANTUM MODELS NOVEL. THOMPSON PA, 1997, NATURE, V389, P360. TUNNEY MA, 2006, PHYS REV B, V74, ARTN 075406. VANDERHEYDEN FHJ, 2005, PHYS REV LETT, V95, ARTN 116104. WALTHER JH, 2004, PHYS REV E 1, V69, ARTN 062201. |
| Cited Reference Count: 16 |
| Times Cited: 0 |
| Publisher: BIRKHAUSER VERLAG AG; VIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND |
| Subject Category: Mathematics, Applied |
| ISSN: 0044-2275 |
| DOI: 10.1007/s00033-007-7118-3 |
| IDS Number: 363VN |
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| Title: Comprehensive experimental and theoretical study of fluid flow and heat transfer in a microscopic evaporating meniscus in a miniature heat exchanger |
| Authors: |
| Author Full Names: Panchamgam, Sashidhar S.; Chatterjee, Arya |
| Source: INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 51 (21-22): 5368-5379 OCT 2008 |
| Language: English |
| Document Type: Article |
| Author Keywords: Capillary forces; Evaporating meniscus; Heat conduction; Marangoni stresses; Miniature heat pipe; Slip modeling |
| Keywords Plus: CONTACT LINE REGION; THIN-FILM; EXTENDED MENISCUS; BINARY-MIXTURE; SOLID-SURFACES; MASS-TRANSPORT; SLIP; WALL; EQUATION; SHEAR |
| Abstract: The complex physicochernical phenomena occurring in the contact line region of an evaporating meniscus are described using a unique combination of high-resolution experimental data and three complementary models. The following were used: (1) high-resolution experimental liquid profile data (thickness, slope, curvature and curvature gradient) to obtain the pressure gradient in the evaporating pentane meniscus in a vertical constrained vapor bubble (VCVB); (2) macroscopic outside surface temperature profile data; (3) a finite element model to obtain the two-dimensional heat conduction profile in the solid substrate wall (macro-model) and the solid-liquid interfacial temperature profile in the evaporating meniscus region; (4) a continuum fluid-dynamics model (micro-model) to obtain the liquid-vapor interfacial temperature, mass flow rate, Marangoni stresses, and evaporative heat flux profiles along the length of the evaporating meniscus; and (5) the Kelvin-Clapeyron model to ob! tain the vapor temperature profile (liquid-vapor interfacial temperature jump) in the evaporating meniscus region. The retarded dispersion constant and high-resolution thickness, slope, curvature and curvature gradient profiles were obtained from the experimental reflectivity profiles. There was a substantial increase in the measured curvature in the transition region, where the evaporation rate and flux are a maximum. To obtain numerical closure between the three complementary models, the continuum fluid dynamics model (micro-model) required slip at the solid-liquid interface to support the observed high mass flow rates in the evaporating pentane meniscus. Mass flow rates due to Marangoni stresses, capillary pressure and disjoining pressure are compared. Depending on the liquid thickness, Marangoni stresses can either enhance or hinder fluid flow towards the contact line for the evaporating pure pentane meniscus. Due to the high heat removal rate by the evaporating pentane! meniscus in the transition region, dips in the vapor, liquid-! vapor an d solid-liquid interface temperature were obtained. The results demonstrate and describe the sensitivity and complexity of the phase change process in micro-regions. (C) 2008 Elsevier Ltd. All rights reserved. |
| Reprint Address: Wayner, PC, Rensselaer Polytech Inst, Isermann Dept Chem & Biol Engn, Troy, NY 12180 USA. |
| Research Institution addresses: Rensselaer Polytech Inst, Isermann Dept Chem & Biol Engn, Troy, NY 12180 USA |
| Cited References: *CRC, 2003, CRC HDB CHEM PHYS. DASGUPTA S, 1994, J HEAT TRANS-T ASME, V116, P1007. DERJAGUIN BV, 1957, P INT C SURF ACT, V2, P145. DERJAGUIN BV, 1976, COLLOID J USSR, V38, P438. GOODWIN R, 1991, PHYS FLUIDS A-FLUID, V3, P515. LAUGA E, 2005, HDB EXPT FLUID DYNAM. PANCHAMGAM SS, 2005, J HEAT TRANS-T ASME, V127, P231, DOI 10.1115/1.1857947. PANCHAMGAM SS, 2006, EXP THERM FLUID SCI, V30, P745, DOI 10.1016/j.expthermflusci.2006.03.004. PANCHAMGAM SS, 2006, J HEAT TRANS-T ASME, V128, P1266, DOI 10.1115/1.2349506. PANCHAMGAM SS, 2007, J HEAT TRANS-T ASME, V129, P1476, DOI 10.1115/1.2759970. PARK K, 2003, INT J HEAT MASS TRAN, V46, P2381, DOI 10.1016/S0017-9310(02)00541-0. POTASH M, 1972, INT J HEAT MASS TRAN, V15, P1851. SCHMATKO T, 2006, LANGMUIR, V22, P6843, DOI 10.1021/la060061w. SODTKE C, 2006, INT J HEAT MASS TRAN, V49, P1100, DOI 10.1016/j.ijheatmasstransfer.2005.07.054. SPIKES H, 2003, LANGMUIR, V19, P5065, DOI 10.1021/la034123j. STEPHAN PC, 1992, INT J HEAT MASS TRAN, V35, P383. SWANSON LW, 1995, J HEAT TRANSFER, V115, P195. THOMPSON PA, 1997, NATURE, V389, P360. WANG YX, 2001, THESIS RENSS POL I T. WEE SK, 2005, INT J HEAT MASS TRAN, V48, P265, DOI 10.1016/j.ijheatmasstransfer.2004.08.021. WEE SK, 2006, J THERMOPHYS HEAT TR, V20, P320. |
| Cited Reference Count: 21 |
| Times Cited: 0 |
| Publisher: PERGAMON-ELSEVIER SCIENCE LTD; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
| Subject Category: Thermodynamics; Engineering, Mechanical; Mechanics |
| ISSN: 0017-9310 |
| DOI: 10.1016/j.ijheatmasstransfer.2008.03.023 |
| IDS Number: 363NC |
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