A nonlinear analysis of the effect of heat transfer on capillary jet instability

Physics of Fluids

Volumn 24, Issue 12, 2012, Pages

  Pillai, Dipin S ^a   Narayanan, Prasanth ^a   Pushpavanam, S ^a   Sundararajan, T ^a   Jasmin Sudha, A ^b   Chellapandi, P ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b INDIRA GANDHI CENTRE FOR ATOMIC RESEARCH   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CORE DISRUPTIVE ACCIDENTS; DROPS; EQUATIONS OF MOTION; FORECASTING; HEAT CONVECTION; METAL ANALYSIS; NONLINEAR ANALYSIS; NONLINEAR EQUATIONS; NUCLEAR REACTORS; ONE DIMENSIONAL; ORIFICES; PARTIAL DIFFERENTIAL EQUATIONS; SURFACE TENSION; TEMPERATURE DISTRIBUTION; UNCERTAINTY ANALYSIS; VISCOSITY;

CONVECTIVE HEAT TRANSFER; DIMENSIONLESS NUMBER; EFFECT OF TEMPERATURE; ISOTHERMAL CONDITIONS; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL PREDICTIONS; SURFACE TENSION GRADIENT; TEMPERATURE DEPENDENT;

FIGHTER AIRCRAFT;

EID: 84871853148     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4772974     Document Type: Article

References (24)

1. Eggers J. Nonlinear dynamics and breakup of free-surface flows. Phys. Rev. Lett. 1997, 71:3458. 10.1103/PhysRevLett.71.3458.
2. Rayleigh L. On the instability of jets. Proc. London Math. Soc. 1878, 10:4. 10.1112/plms/s1-10.1.4.
3. Weber C. Zum zerfall eines flussigkeitsstrahles. Z. Angew. Math. Mech. 1931, 11:136. 10.1002/zamm.19310110207.
4. Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability 1961, (Oxford University Press, New York, ).
5. Tomotika S. On the stability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proc. R. Soc. London 1935, 150:322. 10.1098/rspa.1935.0104.
6. Meister B.J. Scheele G.F. Generalized solution of the tomotika stability analysis for a cylindrical jet. AIChE J. 1967, 13:682. 10.1002/aic.690130418.
7. Keller J.B. Rubinov S.I. Tu Y.O. Spatial instability of a jet. Phys. Fluids 1973, 16:2052. 10.1063/1.1694264.
8. Leib S.J. Goldstein M.J. The generation of capillary instabilities on a liquid jet. J. Fluid Mech 1986, 168:479. 10.1017/S0022112086000472.
9. Utada A.S. Fernandez-Nieves A. Gordillo J.M. Weitz D.A. Absolute instability of a liquid jet in a coflowing stream. Phys. Rev. Lett. 2008, 100:014502. 10.1103/PhysRevLett.100.014502.
10. Vihinen I. Honohan A.M. Lin S.P. Image of absolute instability in a liquid jet. Phys. Fluids 1997, 9:3117. 10.1063/1.869422.
11. Eggers J. Dupont T.F. Drop formation in a one-dimensional approximation of the Navier-Stokes equation. J. Fluid Mech. 1994, 262:205. 10.1017/S0022112094000480.
12. Furlani E.P. Hanchak M.S. Nonlinear analysis of the deformation and breakup of viscous microjets using the method of lines. Int. J. Numer. Methods Fluids 2011, 65:563. 10.1002/fld.2205.
13. Cheong B.S. Howes T. Capillary jet instability under the influence of gravity. Chem. Eng. Sci. 2004, 59:2145. 10.1016/j.ces.2004.02.008.
14. Furlani E.P. Instability of viscous microjets with spatially varying surface tension. J. Phys. A 2005, 38:263. 10.1088/0305-4470/38/1/020.
15. Furlani E.P. Price B.G. Hawkins G. Lopez A. Thermally induced Marangoni instability of liquid microjets with application to continuous inkjet printing. Proc. NSTI Nanotechnol. 2006, 2:534.
16. Furlani E.P. Thermal modulation and instability of Newtonian liquid microjets. Proc. NSTI Nanotechnol. 2005, 1:668.
17. Abe Y. Matsuo E. Arai T. Nariai H. Chitose K. Koyama K. Itoh K. Fragmentation behavior during molten material and coolant interactions. Nucl. Eng Des. 2006, 236:1668. 10.1016/j.nucengdes.2006.04.008.
18. Kondo S. Konishi K. Isozaki M. Imahori S. Furutani A. Brear D.J. Experimental study on simulated molten jet-coolant interactions. Nucl. Eng. Des. 1995, 155:73. 10.1016/0029-5493(94)00870-5.
19. Abe Y. Kizu T. Arai T. Nariai H. Chitose K. Koyama K. Study on thermal-hydraulic behavior during molten material and coolant interaction. Nucl. Eng. Des. 2004, 230:277. 10.1016/j.nucengdes.2003.11.032.
20. Bang K.H. Jong M.K. Kim D.H. Experimental study of melt jet breakup in water. J. Nucl. Sci. Technol. 2003, 40:807. 10.1080/18811248.2003.9715422.
21. Matsuo E. Abe Y. Chitose K. Koyamac K. Itoh K. Study on jet breakup behavior at core disruptive accident for fast breeder reactor. Nucl. Eng. Des. 2008, 238:1996. 10.1016/j.nucengdes.2007.11.011.
22. Passerone A. Sangiorgi R. Caracciolo G. The surface tension of liquid lead. J. Chem. Thermodyn. 1983, 15:971. 10.1016/0021-9614(83)90131-3.
23. Holman J.P. Heat Transfer 2002, 9th ed. (McGraw Hill, ).
24. Kuhn H.A. Hughes W.F. Gaylord E.W. Measurements of the viscosity of liquid Wood's metal. Br. J. Appl. Phys. 1962, 13:527. 10.1088/0508-3443/13/10/122.