Modeling of Substrate Remelting, Flow, and Resolidification in Microcasting

REFERENCES

• C. H. Amon , J. L. Beuth , L. E. Weiss , R. Merz , and F. B. Prinz , Shape Deposition Manufacturing with Microcasting: Processing, Thermal and Mechanical Issues , Trans. ASME , vol. 120 , pp. 656 – 665 , 1998 . [CSA]
   Google Scholar
• C. H. Amon , K. S. Schmaltz , R. Merz , and F. B. Prinz , Numerical and Experimental Investigation of Interface Bonding via Substrate Remelting of an Impinging Molten Metal Droplet , Trans. ASME , vol. 118 , pp. 164 – 172 , 1996 . [CSA]
   Google Scholar
• L. J. Zarzalejo , K. S. Schmaltz , and C. H. Amon , Molten Droplet Solidification and Substrate Remelting in Microcasting, Part I: Numerical Modeling and Experimental Verification , Heat Mass Transfer , vol. 34 , pp. 477 – 485 , 1999 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• K. S. Schmaltz , L. J. Zarzalejo , and C. H. Amon , Molten Droplet Solidification and Substrate Remelting in Microcasting, Part II: Parametric Study and Effect of Dissimilar Materials , Heat Mass Transfer , vol. 35 , pp. 17 – 23 , 1999 . [CSA] [CROSSREF]
   Google Scholar
• J. Madejski , Solidification of Droplets on a Cold Surface , Int. J. Heat Mass Transfer , vol. 19 , pp. 1009 – 1013 , 1976 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• J. P. Delplanque and R. H. Rangel , An Improved Model for Droplet Solidification on a Flat Surface , J. Mater. Sci. , vol. 32 , pp. 1519 – 1530 , 1997 . [CSA] [CROSSREF]
   Google Scholar
• A. J. Markworth and J. H. Saunders , An Improved Velocity Field for the Madjeski Splat-Quench Solidification Model , Int. J. Heat Mass Transfer , vol. 35 , pp. 1836 – 1837 , 1992 . [CSA] [CROSSREF]
   Google Scholar
• S. P. Wang , G. X. Wang , and E. F. Matthys , Melting and Resolidification of a Substrate in Contact with a Molten Metal: Operational Maps , Int. J. Heat Mass Transfer , vol. 41 , pp. 1177 – 1188 , 1998 . [CSA] [CROSSREF]
   Google Scholar
• B. Kang , Z. Zhao , and D. Poulikakos , Solidification of Liquid Metal Droplets Impinging Sequentially on a Solid Surface, J. Heat Transfer , vol. 116, pp. 436–445, 1994. [CSA]
   Web of Science ®Google Scholar
• J. M. Waldvogel , D. Poulikakos , D. B. Wallace , and R. Marusak , Transport Phenomena in Picoliter Size Solder Droplet Dispersion , J. Heat Transfer , vol. 118 , pp. 148 – 156 , 1996 . [CSA]
   Google Scholar
• X. Jiang and S. Sampath , Effect of Substrate Condition on Splat Formation during Thermal Spray Deposition , in S. P. Marsh (ed.), Solidification , pp. 439 – 448 , The Minerals, Metals & Materials Society , 1998 .
   Google Scholar
• G. Trapaga , E. F. Matthys , J. J. Valencia , and J. Szekely , Fluid Flow, Heat Transfer and Solidification of Molten Metal Droplets Impinging on Substrate: Comparison of Numerical and Experimental Results , Metall. Trans. B , vol. 23 , pp. 701 – 718 , 1992 . [CSA]
   Google Scholar
• S. Schiaffino and A. A. Sonin , Molten Droplet Deposition and Solidification at Low Weber Numbers , Phys. Fluids , vol. 9 , no. 11 , pp. 3172 – 3187 , 1997 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• M. Pasandideh-Fard , R. Bhola , S. Chandra , and J. Mostaghimi , Deposition of Tin Droplets on a Steel Plate: Simulations and Experiments , Int. J. Heat Mass Transfer , vol. 41 , pp. 2929 – 2945 , 1998 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• D. Attinger , Z. Zhao , and D. Poulikakos , An Experimental Study of Molten Microdroplet Surface Deposition and Solidification: Transient Behavior and Wetting Angle Dynamics , Trans. ASME , vol. 122 , pp. 544 – 556 , 2000 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• J. Fukai , Z. Zhao , D. Poulikakos , C. M. Megaridis , and O. Miyatake , Modelling of the Deformation of a Liquid Droplet Impinging upon a Flat Surface , Phys. Fluids A , vol. 5 , no. 11 , pp. 2588 – 2599 , 1993 . [CSA] [CROSSREF]
   Google Scholar
• J. Fukai , Y. Shiiba , T. Yamamoto , and O. Miyatake , Wetting Effect on the Spreading of a Liquid Droplet Colliding with a Flat Surface: Experiment and Modeling , Phy. Fluids , vol. 7 , no. 2 , pp. 236 – 247 , 1995 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• J. M. Waldvogel , D. Poulikakos , D. B. Wallace , and R. Marusak , Transport Phenomena in Picoliter Size Solder Droplet Dispension , J. Heat Transfer , vol. 118 , pp. 148 – 156 , 1996 . [CSA]
   Google Scholar
• Z. Zhao , D. Poulikakos , and J. Fukai , Heat Transfer and Fluid Dynamics During the Collision of a Liquid Droplet on a Substrate—II. Experiments , Int. J. Heat Mass Transfer , vol. 39 , no. 3 , pp. 2791 – 2802 , 1996 . [CSA] [CROSSREF]
   Google Scholar
• J. M. Waldvogel and D. Poulikakos , Solidification Phenomena in Picoliter Size Solder Droplet Deposition on a Composite Substrate , Int. J. Heat Mass Transfer , vol. 40 , no. 2 , pp. 295 – 309 , 1997 . [CSA] [CROSSREF]
   Google Scholar
• D. Attinger and D. Poulikakos , Melting and Resolidification of a Substrate Caused by Molten Microdroplet Impact , Trans. ASME , vol. 123 , pp. 1110 – 1122 , 2001 . [CSA] [CROSSREF]
   Google Scholar
• J. P. Delplanque , E. J. Lavernia , and R. H. Rangel , Multidirectional Solidification Model for the Description of Micropore Formation in Spray Deposition Processes , Numer. Heat Transfer A , vol. 30 , pp. 1 – 18 , 1996 . [CSA]
   Web of Science ®Google Scholar
• D. B. Kothe , R. C. Mjolsness , and M. D. Torrey , RIPPLE: A Computer Program for Incompressible Flows with Free Surfaces , Los Alamos Sci. Lab. Rept. LA-12007-MS , Los Alamos , New Mexico , 1991 .
   Google Scholar
• A. Y. Tong and B. R. Holt , Numerical Study on the Solidification of a Liquid Metal Droplet Impacting onto a Substrate , Numer. Heat Transfer A , vol. 31 , pp. 797 – 817 , 1997 . [CSA]
   Web of Science ®Google Scholar
• V. R. Voller , N. Markatos , and M. Cross , Techniques for the Moving Interface in Convection/Diffusion Phase Change , Numer. Meth. Thermal Prob. , vol. 4 , pp. 595 – 609 , 1985 . [CSA]
   Google Scholar
• W. Wang , Study of Spreading and Solidification of a Molten Droplet on a Substrate , Ph.D. thesis, Hong Kong University of Science and Technology , Hong Kong , 2002 .
   Google Scholar
• W. Wang , H.-H. Qiu , and P. Cheng , Deformation and Solidification of Droplet Impact with Variable Thermal Contact Resistance , Proc. HT2003, ASME Summer Heat Transfer Conf. , Las Vegas , NV , 21 – 23 July 2003 .
   Google Scholar
• C. W. Hirt and B. D. Nichols , Volume of Fluid Method for the Dynamics of Free Boundaries, J. Comput. Phys. , vol. 39, pp. 201–225, 1981. [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• J. U. Brackbill , D. B. Kothe , and C. Zemach , A Continuum Method for Modeling Surface Tension , J. Comput. Phys. , vol. 100 , pp. 335 – 354 , 1992 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• G. X. Wang and E. F. Matthys , Experimental Investigation of Interfacial Thermal Conductance for Molten Metal Solidification on a Substrate , J. Heat Transfer , vol. 118 , pp. 157 – 163 , 1996 . [CSA]
   Web of Science ®Google Scholar
• B. R. Holt , The Normal Incident Impact Phenomena and Solidification of a Liquid Metal Droplet onto a Rigid Substrate , Ph.D. thesis, University of Texas at Arlington , Arlington , TX , 1995 .
   Google Scholar
• J. Miettinen , Calculation of Solidification-Related Thermophysical Properties for Steels , Metall. Mater. Trans. B , vol. 28 , pp. 281 – 297 , 1997 . [CSA]
   Google Scholar
• W. Liu , G.-X. Wang , and E. F. Matthys , Thermal Analysis and Measurement for a Molten Drop Impacting on a Substrate: Cooling, Solidification, and Heat Transfer Coefficient , Int. J. Heat Mass Transfer , vol. 38 , pp. 1387 – 1395 , 1995 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• G. X. Wang and E. F. Matthys , Experimental Determination of the Interfacial Heat Transfer during Cooling and Solidification of Molten Metal Droplet Impacting on a Metallic Substrate: Effect of Roughness and Superheat , Int. J. Heat Mass Transfer , vol. 45 , pp. 4967 – 4981 , 2002 . [CSA] [CROSSREF]
   Google Scholar
• T. Loulou , E. A. Artyukhin , and J. P. Bardon , Estimation of Thermal Contact Resistance during the First Stages of Metal Solidification Process: II—Experimental Setup and Results , Int. J. Heat Mass Transfer , vol. 42 , pp. 2129 – 2142 , 1999 . [CSA] [CROSSREF]
   Google Scholar
• W. Wang and H.-H. Qiu , Interfacial Thermal Conductance in Rapid Contact Solidification Process , Int. J. Heat Mass Transfer , vol. 45 , no. 10 , pp. 2043 – 2053 , 2002 . [CSA] [CROSSREF]
   Google Scholar