INAUGURAL–DISSERTATION zur Erlangung der Doktorwürde der ...

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110 A. Nomenclature List of Abbreviations Abbreviation Meaning CDM CFD CFL CFM CM CQMOM DDB DDM DNS DQMOM DSD ETAB LB LDA LES LHF ME MOM NDF PBE PD PDA PSIC PVP QBSM QMOM RANS RMM RTI SF TAB VOF WB continuous droplet model computational fluid dynamics Courant-Friedrichs-Lewy condition continuous formulation model method of classes conditional quadrature method of moments droplet deformation and breakup discrete droplet model direct numerical simulation direct quadrature method of moments droplet size distribution enhanced Taylor analogy breakup model lattice-Boltzmann method laser Doppler anemometry large eddy simulation local homogeneous flow model maximum entropy method method of moments number density function population balance equation product-difference algorithm phase Doppler anemometry particle-source-in-cell method polyvinylpyrrolidone quadrature based sectional method quadrature method of moments Reynolds-average Navier – Stokes equations rapid mixing model Rayleigh-Taylor instability separated flow model Taylor analogy breakup model volume of fluid method wave breakup model
B. Acknowledgements The research work was carried out at Interdisciplinary Center for Scientific Computing (IWR), University of Heidelberg, and this study is funded by German Science Foundation (DFG) through the priority program ”SPP1423”. First and foremost I would to like to express my deep sense of gratitude to my supervisor, Prof. E. Gutheil, who constantly motivated, taught, encouraged, supported and patiently guided me throughout this work. She offered me this work while I was about to finish my Master studies, and I thank her for bestowing enormous confidence on me. She perseveringly corrected the research abstracts, papers, this thesis, and her style of correction given me an opportunity to be familiar with scientific writing. She helped me a lot in day to day activities as well. Her endless kindness and incomparable support cannot be thanked adequately here. I am thankful to my co-supervisor, PD Dr. N. Dahmen, for his guidance and support in my research, and for correcting this thesis. I would like to thank E. Wimmer, Prof. G. Brenn (TU Graz), Dr. R. Wengeler (BASF Ludwigshafen) for providing the experimental data. Special thanks to Prof. G. Brenn for extending his support and comments in un<strong>der</strong>standing and correction of experimental data. Special thanks to Prof. N. Urbanetz for the fruitful discussions on mannitol/water system. I would like thank all the members of the DFG ”SPP 1423” for their support. I express my sincere thanks to all my colleagues, L. Cao, H. Großhans, R. M. Humza, Y. Hu, H. Olguin, M. Trunk, X. G. Cui, D. Urzica and E. Vogel. Thanks to N. Wenzel for his help in experimental data handling. Special thanks to H. Großhans for proof reading this thesis and translating the abstract in German. I sincerely thank E. Vogel for her kind help in all administrative matters, which made my life easier in Germany, and thanks to her also for the corrections of German abstract. I thank my family members, especially, my mother (Sulochana), beloved brother (Suren<strong>der</strong>), and sister (Swarupa) for their constant support and endless love. I wish to express special thanks to my wife (Tanuja), who encouraged me in every hard hour, and corrected this thesis with humongous patience. Last but not least, the financial support of DFG through ”SPP1423” and HGS- MathComp is gratefully acknowledged.
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INAUGURAL-DISSERTATION zur Erlangun
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Dreams can never become a reality w
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II ial direction). Earlier studies
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IV DQMOM wird die Tropfengrößen-
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Contents Abstract . . . . . . . . .
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List of Tables 4.1 Initial weights
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List of Figures 1.1 A schematic dia
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List of Figures XIII 4.27 Effect of
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1. Introduction Drying has found ap
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3 Fig. 1.2: Chemical structure of p
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5 via inhalation aerosols. Dry powd
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7 equations are written in terms of
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9 for through appropriate sub-model
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2. Mathematical Modeling Spray cons
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2.1. State of the Art 13 the govern
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2.1. State of the Art 15 and if the
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2.2. Euler - Lagrangian Approach 17
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2.2. Euler - Lagrangian Approach 19
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2.3. Euler - Euler Approach 21 quan
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2.3. Euler - Euler Approach 23 Will
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2.3. Euler - Euler Approach 25 of t
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2.3. Euler - Euler Approach 27 With
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2.4. Single Droplet Modeling 29 col
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2.4. Single Droplet Modeling 31 the
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2.4. Single Droplet Modeling 33 pol
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2.4. Single Droplet Modeling 35 gra
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2.4. Single Droplet Modeling 37 thr
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2.4. Single Droplet Modeling 39 whe
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2.4. Single Droplet Modeling 41 (a)
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2.4. Single Droplet Modeling 43 not
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3. Numerical Methods In the numeric
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3.2. Spray Modeling 47 and solid la
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3.2. Spray Modeling 49 ⎛ ⎞ ⎛
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3.2. Spray Modeling 51 application
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3.3. Numerical Performance 53 where
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4. Results and Discussion Results p
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4.1. One-dimensional Evaporating Wa
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Page 87 and 88: 4.2. Two-dimensional Evaporating Wa
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Page 113 and 114: 4.4. Two-dimensional Evaporating PV
Page 119 and 120: 5. Conclusions and Future Work The
Page 121 and 122: 101 proved UNIFAC-vdW-FV method for
Page 123: Appendix
Page 126 and 127: 106 A. Nomenclature Symbol Unit Des
Page 128 and 129: 108 A. Nomenclature S n S g S l Vec
Page 132 and 133: Bibliography [1] K. Masters: Spray
Page 134 and 135: BIBLIOGRAPHY iii [24] K. D. Squires
Page 136 and 137: BIBLIOGRAPHY v [49] D. L. Marchisio
Page 138 and 139: BIBLIOGRAPHY vii [72] G. M. Faeth:
Page 140 and 141: BIBLIOGRAPHY ix [95] C. Cercignani,
Page 142 and 143: BIBLIOGRAPHY xi [119] R. O. Fox: Hi
Page 144 and 145: BIBLIOGRAPHY xiii [142] R. Clift, J
Page 146 and 147: BIBLIOGRAPHY xv [170] G. Brenn, L.
Page 148 and 149: BIBLIOGRAPHY xvii [197] M. Stieß:
Page 150: BIBLIOGRAPHY xix [222] I. S. Grigor
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