2023

Asghar, M. H. ; Marić, T. ; Ben Gozlen, H. ; Raju, S. ; Fricke, M. ; Kuhr, M. ; Pelz, P. F. ; Bothe, D. (2023)
Analytical and numerical validation of a plate-plate tribometer for measuring wall slip.
doi: 10.48550/arXiv.2311.10821
Report, Bibliographie

Bothe, D. ; Fricke, M. ; Soga, Kohei (2023)
Mathematical analysis of modified level-set equations.
doi: 10.48550/arXiv.2310.05111
Report, Bibliographie

Niethammer, M. ; Asghar, M. H. ; Marić, T. ; Bothe, D. (2023)
An unstructured geometrical Volume-Of-Fluid method for viscoelastic two-phase flows.
doi: 10.48550/arXiv.2311.10872
Report, Bibliographie

2022

Postulka, Niels ; Seibert, M. ; Geißler, A. ; Fricke, M. ; Bothe, D. ; Meckel, T. ; Biesalski, M.
Hrsg.: Coffin, D. ; Batchelor, W. ; The Pulp and Paper Fundamental Research Society (2022)
Porosity centrifuge: Analysis of the porous structure of paper in contact with water under hypergravity conditions.
17th Fundamental Research Symposium of the Pulp and Paper Fundamental Research Society. Cambridge (28.08.2023-01.09.2023)
Konferenzveröffentlichung, Bibliographie

2021

Hartmann, M. ; Fricke, M. ; Weimar, L. ; Gründing, D. ; Marić, T. ; Bothe, D. ; Hardt, S. (2021)
Breakup dynamics of capillary bridges on hydrophobic stripes.
In: International Journal of Multiphase Flow, 140
doi: 10.1016/j.ijmultiphaseflow.2021.103582
Artikel, Bibliographie

2020

Tolle, T. ; Bothe, D. ; Marić, T. (2020)
SAAMPLE: A Segregated Accuracy-driven Algorithm for Multiphase Pressure-Linked Equations.
In: Computers & Fluids, 200
doi: 10.1016/j.compfluid.2020.104450
Artikel, Bibliographie

2019

Gründing, D. ; Smuda, M. ; Antritter, T. ; Fricke, M. ; Rettenmaier, D. ; Kummer, F. ; Stephan, P. ; Marschall, H. ; Bothe, D. (2019)
Capillary rise — A computational benchmark for wetting processes.
Report, Bibliographie

Fricke, Mathis ; Maric, T. ; Bothe, D. (2019)
Contact line advection using the Level Set method.
In: Proceedings in Applied Mathematics and Mechanics, 19 (1)
doi: 10.1002/pamm.201900476
Artikel, Bibliographie

Liu, M. ; Bothe, D. (2019)
Toward the predictive simulation of bouncing versus coalescence in binary droplet collisions.
In: Acta Mechanica, 230 (2)
doi: 10.1007/s00707-018-2290-4
Artikel, Bibliographie

Fricke, Mathis ; Bothe, D. (2019)
The contact line advection problem.
GAMM 2019 - 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics. Vienna (18.02.2019-22.02.2019)
Konferenzveröffentlichung, Bibliographie

2018

Deising, D. ; Bothe, D. ; Marschall, H. (2018)
Direct Numerical Simulation of Mass Transfer in Bubbly Flows.
In: Computers & Fluids, 172
doi: 10.1016/j.compfluid.2018.03.041
Artikel, Bibliographie

Falcone, M. ; Bothe, D. ; Marschall, H. (2018)
3D direct numerical simulations of reactive mass transfer from deformable single bubbles: An analysis of mass transfer coefficients and reaction selectivities.
In: Chemical Engineering Science, 177
doi: 10.1016/j.ces.2017.11.024
Artikel, Bibliographie

Hill, S. ; Deising, D. ; Acher, T. ; Klein, H. ; Bothe, D. ; Marschall, H. (2018)
Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transfer.
In: Journal of Computational Physics, 352
doi: 10.1016/j.jcp.2017.09.027
Artikel, Bibliographie

Marić, T. ; Marschall, H. ; Bothe, D. (2018)
An enhanced un-split face-vertex flux-based VoF method.
In: Journal of Computational Physics, 371
doi: 10.1016/j.jcp.2018.03.048
Artikel, Bibliographie

2017

Gründing, D. ; Marschall, H. ; Bothe, D. (2017)
Moving contact line treatment using a finite volume ALE interface-tracking method.
ICNMMF-III International Conference on Numerical Methods in Multiphase Flows. Tokyo (26.07.2017-29.07.2017)
Konferenzveröffentlichung, Bibliographie

Weiner, A. ; Bothe, D. (2017)
Advanced subgrid-scale modeling for convection-dominated species transport at fluid interfaces with applicaton to rising bubbles.
In: Journal of Computational Physics, 347
doi: 10.1016/j.jcp.2017.06.040
Artikel, Bibliographie

Planchette, C. ; Hinterbichler, H. ; Liu, M. ; Bothe, D. ; Brenn, G. (2017)
Colliding drops as coalescing and fragmenting liquid springs.
In: Journal of Fluid Mechanics, 814
Artikel, Bibliographie

Bothe, D. ; Koehne, M. ; Maier, S. ; Saal, J. (2017)
Global strong solutions for a class of heterogeneous catalysis models.
In: Journal of Mathematical Analysis and Applications, 445 (1)
Artikel, Bibliographie

Bothe, D. ; Fischer, A. ; Pierre, M. ; Rolland, G. (2017)
Global wellposedness for a class of reaction-advection-anisotropic-diffusion systems.
In: Journal of Evolution Equations, 17 (1)
Artikel, Bibliographie

Weber, P. S. ; Marschall, H. ; Bothe, D. (2017)
Highly accurate two-phase species transfer based on ALE Interface Tracking.
In: International Journal of Heat and Mass Transfer, 104
Artikel, Bibliographie

Bothe, D. ; Kashiwabara, T. ; Koehne, M. (2017)
Strong well-posedness for a class of dynamic outflow boundary conditions for incompressible Newtonian flows.
In: Journal of Evolution Equations, 17 (1)
Artikel, Bibliographie

Gründing, D. ; Marschall, Holger ; Bothe, D. (2017)
Wetting processes with ALE interface tracking.
12th OpenFOAM Workshop. Exeter (24.07.2017-27.07.2017)
Konferenzveröffentlichung, Bibliographie

Niethammer, M. ; Marschall, H. ; Kunkelmann, C. ; Bothe, D. (2017)
A numerical stabilization framework for viscoelastic fluid flow using the finite volume method on general unstructured meshes.
In: International Journal for Numerical Methods in Fluids, 86 (2)
doi: 10.1002/fld.4411
Artikel, Bibliographie

2016

Weber, P. ; Silge, S. ; Marschall, H. ; Bothe, D. (2016)
An implicit second-order region coupling method for discontinuous values and transport coefficients.
11th OpenFOAM Workshop, Guimaraes, Portugal.
Konferenzveröffentlichung, Bibliographie

Fath, Anja ; Fricke, Mathis ; Bothe, D. (2016)
Thermocapillary Droplet Actuation on a Wall.
International Conference on Multiphase Flow. Firenze, Italy (22.05.2016-27.05.2016)
Konferenzveröffentlichung, Bibliographie

Weber, P. ; Marschall, H. ; Bothe, D. (2016)
Eine Interface Tracking Methode für Stofftransport an einer aufsteigenden Blase.
Jahrestreffen der ProcessNet-Fachgruppe Computational Fluid Dynamics.
Konferenzveröffentlichung, Bibliographie

Chen, X. ; Focke, C. ; Marschall, H. ; Bothe, D.
Hrsg.: Fritsching, Udo (2016)
Investigation of Elementary Processes of Non-Newtonian Droplets Inside Spray Processes by Means of Direct Numerical Simulation.
In: Process-Spray
Buchkapitel, Bibliographie

Bothe, D. (2016)
Mass transfer across fluid interfaces - modeling the influence of adsorbed surfactant.
In: Proc. RIMS Symposium on “Mathematical Analysis of Viscous Incompressible Fluids”
Artikel, Bibliographie

Falconi, C. J. ; Lehrenfeld, C. ; Marschall, H. ; Meyer, C. ; Abiev, R. ; Bothe, D. ; Reusken, A. ; Schlueter, M. ; Woerner, M. (2016)
Numerical and experimental analysis of local flow phenomena in laminar Taylor flow in a square mini-channel.
In: Physics of Fluids, 28 (1)
Artikel, Bibliographie

Liu, M. ; Bothe, D. (2016)
Numerical study of head-on droplet collisions at high Weber numbers.
In: Journal of Fluid Mechanics, 789
Artikel, Bibliographie

Bothe, D. ; Prüss, J.
Hrsg.: Aman, H. ; Giga, Y. ; Kozono, H. ; Okamoto, H. ; Yamazaki, M. (2016)
On the interface formation model for dynamic triple lines.
In: Recent Developments of Mathematical Fluid Mechanics
Buchkapitel, Bibliographie

2015

Weber, P. ; Marschall, H. ; Bothe, D. (2015)
An ALE Interface Tracking Method for Species Transfer of Rising Bubbles.
13th Multiphase Flow Conference, Dresden.
Konferenzveröffentlichung, Bibliographie

Albert, C. ; Kromer, Johannes ; Robertson, A. M. ; Bothe, D. (2015)
Dynamic behaviour of buoyant high viscosity droplets rising in a quiescent liquid.
In: Journal of Fluid Mechanics, 778
Artikel, Bibliographie

Bothe, D. ; Dreyer, W. (2015)
Continuum thermodynamics of chemically reacting fluid mixtures.
In: Acta Mechanica, 226 (6)
Artikel, Bibliographie

Maric, Tomislav ; Marschall, H. ; Bothe, D. (2015)
lentFoam - A hybrid Level Set / Front Tracking method on unstructured meshes.
In: Computers and Fluids, (113)
doi: 10.1016/j.compfluid.2014.12.019
Artikel, Bibliographie

2014

Bothe, D. (2014)
Mass Transfer in Pure and Contaminated Fluid Systems - Continuum Thermodynamics and Detailed Numerical Simulation.
7th International Berlin Workshop (IBW 7) on Transport Phenomena with Moving Boundaries and More. Berlin (30.10.2014-30.10.2014)
Konferenzveröffentlichung, Bibliographie

Weirich, Dominik ; Köhne, M. ; Bothe, D. (2014)
Efficient computation of flow around single fluid particles using an artificial boundary condition.
In: Int. J. for Numerical Methods in Fluids, 75 (3)
doi: 10.1002/fld.3890
Artikel, Bibliographie

Bothe, D. ; Fischer, A. ; Pierre, M. ; Rolland, G. (2014)
Global existence for diffusion-electromigration systems in space dimension three and higher.
In: Nonlinear Analysis A: Theory Methods and Applications, (99)
Artikel, Bibliographie

Albert, C. ; Tezuka, A. ; Bothe, D. (2014)
Global linear stability analysis of falling films with in- and outlet.
In: Journal of Fluid Mech., 745
Artikel, Bibliographie

Bothe, D. ; Soga, K. (2014)
Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent.
In: Proc. Int. Conf. on Mathematical Fluid Dynamics
Artikel, Bibliographie

2013

Focke, Christian ; Kuschel, M. ; Sommerfeld, M. ; Bothe, D. (2013)
Collision between high and low viscosity droplets: Direct Numerical Simulations and experiments.
In: International Journal of Multiphase Flow, 56
Artikel, Bibliographie

Roth, N. ; Mercadé, C. ; Gomaa, H. ; Focke, Christian ; Bothe, D. ; Roisman, Ilia V. ; Weigand, B. (2013)
Collision of Droplets: Experimental, Analytical and Numerical Approach.
ILASS 2013. Chania Crete
Konferenzveröffentlichung, Bibliographie

Ma, C. ; Bothe, D. (2013)
Numerical modeling of thermocapillary two-phase flows with evaporation using a two-scalar approach for heat transfer.
In: Journal of Computational Physics, 233
Artikel, Bibliographie

Focke, Christian ; Kuschel, M. ; Sommerfeld, M. ; Bothe, D. (2013)
Computational and Experimental Analysis of Binary Collisions of Non-Isoviscous Liquid Droplets.
In: Int. J. Multiphase Flow, (56)
Artikel, Bibliographie

Bothe, D. ; Fleckenstein, S. (2013)
Modeling and VOF-based numerical simulation of mass transfer processes at fluidic particles.
In: Chem. Eng. Science , 102
Artikel, Bibliographie

Ma, C. ; Bothe, D. (2013)
Numerical modeling of thermocapillary two-phase flows using a two-scalar approach for heat transfer.
In: J. Comp. Physics, (233)
doi: 10.1016/j.jcp.2012.09.011
Artikel, Bibliographie

Bothe, D. ; Köhne, M. ; Prüss, J. (2013)
On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows.
In: SIAM J. Math. Anal. , (45)
Artikel, Bibliographie

Bothe, D. ; Fleckenstein, S. (2013)
Simplified modeling of the influence of surfactants on the rise of bubbles in VOF-Simulations.
In: Chem. Eng. Science , (102)
Artikel, Bibliographie

Chen, X. ; Marschall, H. ; Schäfer, M. ; Bothe, D. (2013)
A comparison of different methods for viscoelastic flow simulation.
In: J. of Comp. Fluid Dynamics , (27)
Artikel, Bibliographie

2012

Ali, A. ; Bothe, D. (2012)
Iso-surface computation in 3D using a graph-theoretical approach.
In: Proceedings in Applied Mathematics and Mechanics, 12
Artikel, Bibliographie

Bothe, D. ; Pierre, M. (2012)
The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction.
In: Discrete and Continuous Dynamical Systems Series S, 5 (1)
doi: 10.3934/dcdss.2012.5.49
Artikel, Bibliographie

Kissling, K. ; Marschall, H. ; Bothe, D.
Hrsg.: Schindler, F.-P. (2012)
Direct Numerical Simulation of Multicomponent Surfactant Transport on Fluid Interfaces.
6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries. Berlin (24.11.2011-25.11.2011)
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Wittbold, P. (2012)
Abstract reaction-diffusion systems with m-completely accretive diffusion operators and measurable reaction rates.
In: Communications on Pure and Applied Analysis, 11 (6)
doi: 10.3934/cpaa.2012.11.2239
Artikel, Bibliographie

Bothe, D. ; Pierre, M. ; Rolland, G. (2012)
Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction.
In: Comm. PDE, 37 (11)
Artikel, Bibliographie

Focke, Christian ; Bothe, D. (2012)
Direct numerical simulation of binary off-center collision of shear thinning droplets at high Weber numbers.
In: Phys. Fluids, 24 (073105)
doi: 10.1063/1.4737582
Artikel, Bibliographie

Focke, C. ; Bothe, D. (2012)
Direct numerical simulation of binary off-center collisions of shear thinning droplets at high Weber numbers.
In: Physics of Fluids, 24 (7)
Artikel, Bibliographie

Focke, Christian ; Bothe, D. (2012)
Direkte Numerische Simulation binärer Kollisionen scherverdünnender Tropfen.
In: Chemie Ingenieur Technik, 84 (1/2)
doi: 10.1002/cite.201100145
Artikel, Bibliographie

Bothe, D. (2012)
Mathematical Modeling and Direct Numerical Simulation of Transport Processes at Fluidic Interfaces.
In: Chemical Engineering of Japan, 76 (6)
Artikel, Bibliographie

Fleckenstein, S. ; Kröger, M. ; Bothe, D. (2012)
Numerical model of mass transfer from deformable gas bubbles using an unsplit 3D subgrid scale model.
6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries. Berlin (24.11.2011-25.11.2011)
Konferenzveröffentlichung, Bibliographie

2011

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J. (2011)
Fully resolved numerical simulation of reactive mixing in a T-shaped micromixer using parabolized species equations.
In: Chemical Engineering Science, 66 (24)
doi: 10.1016/j.ces.2011.08.045
Artikel, Bibliographie

Kück, U. D. ; Kröger, M. ; Schlüter, M. ; Räbiger, N. ; Bothe, D. ; Warnecke, H.-J. (2011)
Skalenübergreifende Transportprozesse bei Gas –Flüssig Reaktionen.
In: Chemie und Ingenieurtechnik, 83 (7)
doi: 10.1002/cite.201100036
Artikel, Bibliographie

Fleckenstein, S. ; Bothe, D. (2011)
Modeling and 3D simulation of Physical mass transfer at single rising gas bubbles for moderate Schmidt numbers.
8th International Conference on CFD in Oil & Gas, Metallurgical and Process Industries SINTEF/NTNU. Trondheim NORWAY (21.06.2011-23.06.2011)
Konferenzveröffentlichung, Bibliographie

Focke, Christian ; Bothe, D. (2011)
Computational Analysis of Binary Collisions of shear-thinning Droplets.
In: Journal of Non-Newtonian Fluid Mechanics, 166 (14-15)
doi: 10.1016/j.jnnfm.2011.03.011 (2011
Artikel, Bibliographie

Bothe, D.
Hrsg.: Escher, J. (2011)
On the Maxwell-Stefan approach to multicomponent diffusion.
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Kröger, M. ; Warnecke, H.-J. (2011)
A VOF-Based Conservative Method for the Simulation of Reactive Mass Transfer from Rising Bubbles.
In: Fluid Dynamics & Materials Processing, 7 (3)
Artikel, Bibliographie

2010

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J.
Hrsg.: Bockhorn, H. ; Mewes, D. ; Peukert, W. ; Warnecke, H.-J. (2010)
Computational Analysis of Reactive Mixing in T-microreactors.
In: Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation
Buchkapitel, Bibliographie

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J. (2010)
Computational analysis of an instantaneous irreversible reaction in a T-microreactor.
In: AIChE J., 56 (6)
Artikel, Bibliographie

Alke, A. ; Bothe, D. ; Kröger, M. ; Weigand, B. ; Weirich, Dominik ; Weking, H.
Direct numerical simulation of high Schmidt number mass transfer from air bubbles rising in liquids using the Volume-of-Fluid-Method.
In: Ercoftac Bulletin, 82
Artikel, Bibliographie

Bothe, D.
Hrsg.: Bockhorn, H. ; Warnecke, H.-J. ; Peukert, W. ; Mewes, D. (2010)
Evaluating the quality of a mixture: degree of homogeneity and scale of segregation.
In: Heat and Mass Transfer
doi: 10.1007/978-3-642-04549-3_2
Buchkapitel, Bibliographie

Seck, O. ; Maxisch, T. ; Bothe, D. ; Warnecke, H.-J.
Hrsg.: Guo, L. J. ; Joseph, J. J. ; Matsumoto, Y. (2010)
Investigation of the Mixing Behavior and the Generation of Contact-Area in a Continuous Twin-Shaft Kneader.
6th International Symposi-um on Multiphase Flow, Heat Mass Transfer and Energy Conversion .
Konferenzveröffentlichung, Bibliographie

Seck, O. ; Maxisch, T. ; Bothe, D. ; Warnecke, H.-J. (2010)
Investigation of the Mixing and Devolatilization Behavior in a Continuous Twin-Shaft Kneader.
In: Macromolecular Symposia, 289 (1)
doi: 10.1002/masy.200900020
Artikel, Bibliographie

Warnecke, H.-J. ; Bothe, D. ; Berth, G. ; Hüsch, K.-P. ; Zrenner, A. (2010)
Modellbasierte Bestimmung lokal gültiger Kinetiken chemischer Reaktionen in Flüssigphase mittels Flachbettmikroreaktor.
In: Chem. Ing. Tech., 82
doi: 10.1002/cite.200900169
Artikel, Bibliographie

Bothe, D. ; Prüss, J. (2010)
On the Two-Phase Navier-Stokes Equations with Boussinesq-Scriven Surface.
In: Fluid J. Math. Fluid Mech., 12 (1)
doi: 10.1007/s00021-008-0278-x
Artikel, Bibliographie

Bothe, D. ; Pierre, M. (2010)
Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate.
In: J. Math. Analysis & Application, 368 (1)
Artikel, Bibliographie

Bothe, D. ; Prüss, J. (2010)
Stability of equilibria for two-phase flows with soluble surfactant.
In: The Quarterly Journal of Mechanics & Applied Mathematics, 63 (2)
doi: 10.1093/qjmam/hbq003
Artikel, Bibliographie

Kröger, M. ; Bothe, D. ; Warnecke, H.-J. (2010)
A VOF-based conservative method for the simulation of reactive mass transfer from rising bubbles.
7th International Conference on Multiphase Flow, ICMF 2010. Tampa/Florida (30.05.2010-04.06.2010)
Konferenzveröffentlichung, Bibliographie

2009

Alke, A. ; Bothe, D. (2009)
3D Numerical Modeling of Soluble Surfactant at Fluidic Interfaces Based on the Volume-of-Fluid Method.
In: Fluid Dynamics & Materials Processing, 5 (4)
doi: 10.3970/fdmp.2009.005.345
Artikel, Bibliographie

Bothe, D.
Hrsg.: Dietrich, T. (2009)
Microfluidic Modules: Calculations and Simulations.
In: Microchemical Engineering in Practice
Buchkapitel, Bibliographie

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J.
VOF-based simulation of conjugate mass transfer from freely moving fluid particles.
In: Computational Methods in Multiphase Flow V
doi: 10.2495/MPF090141
Artikel, Bibliographie

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J. (2009)
VOF-based simulation of reactive mass transfer across deformable interfaces.
In: Progress in computational fluid dynamics PCFD, 9 (6/7)
doi: 10.1504/PCFD.2009.027363
Artikel, Bibliographie

2008

Bothe, D. ; Alke, A. (2008)
Direct Numerical Simulation of Bubble Dynamics and Transfer Processes in Pure and Contaminated Systems.
6th Int. Conf. on Computational Fluid Dynamics in the Oil & Gas, Metallurgical and Process Industries. Trondheim/Norway
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2008)
Computation of Scales and Quality of mixing in a T-shaped microreactor.
In: Comp. & Chem. Eng., 32
doi: 10.1016/j.compchemeng.2007.08.001
Artikel, Bibliographie

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J. (2008)
VOF-Based Simulation of Reactive Mass Transfer across Deformable Interfaces.
6th International Conference on CFD in Oil&Gas, Metallurgical and Process Industries. Trondheim, Norway (10.06.2008-12.06.2008)
Konferenzveröffentlichung, Bibliographie

2007

Bothe, D. ; Warnecke, H.-J. (2007)
Berechnung und Beurteilung strömungsbasierter komplex-laminarer Mischprozesse.
In: Chem. Ing. Tech., 79
doi: 10.1002/cite.200700068
Artikel, Bibliographie

Bothe, D. ; Schmidtke, M. ; Warnecke, H.-J. (2007)
Direct Numerical Computation of the Lift Force acting on Single Bubbles.
6th International Conference on Multiphase Flow, ICMF2007. Leipzig
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Shirzadi, H. ; Warnecke, H.-J. (2007)
Evaluations of Euler-Euler Simulations of Bubble Columns by Numerical Tracer Experiments.
In: Trans. IChemE Part A, 85
doi: 10.1205/cherd06249
Artikel, Bibliographie

Bothe, D. ; Prüss, J. (2007)
Lp-theory for a class of non-Newtonian fluids.
In: SIAM J. Math. Anal., 39
Artikel, Bibliographie

Kröger, M. ; Alke, A. ; Bothe, D. ; Warnecke, H.-J.
Hrsg.: Schindler, F.-P. (2007)
A VOF-based approach for the simulation of reactive mass transfer from rising bubbles.
4thInternational Berlin Workshop – IBW4 on Transport Phenomena with Moving Boundaries. TU Berlin
Konferenzveröffentlichung, Bibliographie

Alke, A. ; Bothe, D. (2007)
VOF-simulation of fluid particles influenced by soluble surfactants.
6th International Conference on Multiphase Flow, ICMF2007. Leipzig
Konferenzveröffentlichung, Bibliographie

2006

Bothe, D. ; Schmidtke, M. ; Warnecke, H.-J. (2006)
VOF-Simulation of the lift force for single bubbles in a simple shear flow.
In: Chem. Eng. Tech., 29 (9)
doi: 10.1002/ceat.200600168
Artikel, Bibliographie

Alke, A. ; Bothe, D. (2006)
A VOF-based method for the simulation of gas bubbles influenced by surfactants.
7th German/Japanese Symposium on Bubble Columns, VDI-GVC Society for Process Engineering. Goslar (20.05.2006-23.05.2006)
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Steinkemper, A. ; Warnecke, H.-J. (2006)
Modeling the dehydration of tert-butyl alcohol and avoidance of the formation of oligomers.
In: Ind. Eng. Chem. Res., 45
doi: 10.1021/ie050623r
Artikel, Bibliographie

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2006)
Fluid mixing in a T-shaped micro-mixer.
In: Chem. Eng. Sci., 61
doi: 10.1016/j.ces.2005.10.060
Artikel, Bibliographie

Schmidtke, M. ; Bothe, D. ; Warnecke, H.-J. (2006)
Migration of single bubbles in linear shear flow.
3rd International Berlin Worshop - IBW3 onn Transport Phenomena with moving Boundaries. Berlin (06.09.2005-07.09.2005)
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Stemich, C. ; Warnecke, H.-J.
Hrsg.: Marquardt, W. ; Pantelidis, C. (2006)
Mixing in a T-shaped microreactor: scales and quality of mixing.
doi: 10.1016/S1570-7946(06)80071-4
Konferenzveröffentlichung, Bibliographie

2005

Bothe, D. (2005)
Flow invariance for nonlinear accretive evolutions under range conditions.
In: J. Evol. Eqs., 5
doi: 10.1007/s00028-005-0185-z
Artikel, Bibliographie

Schmidtke, M. ; Bothe, D. ; Warnecke, H.-J.
Hrsg.: Kraume, M. (2005)
Migration of single bubbles in linear shear flows.
3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries. TU Berlin
Konferenzveröffentlichung, Bibliographie

Alke, A. ; Bothe, D.
Hrsg.: Kraume, M. (2005)
A VOF-based method for the simulation of fluid-liquid-interfaces influenced by surfactants.
3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries. TU Berlin
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Warnecke, H.-J.
Hrsg.: Boyadjiev, C. ; Hristov, J. (2005)
VOF-simulation of rising air bubbles with mass transfer to the ambient liquid.
11th Workshop on Transport Phenomena in Two-Phase Flow.
Konferenzveröffentlichung, Bibliographie

Bothe, D.
Hrsg.: Sommerfeld, M. (2005)
VOF-simulations of fluid particle dynamics.
Proc. 11th Workshop on Two-Phase Flow Predictions. Merseburg
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Prüss, J. ; Simonett, G.
Hrsg.: Chipot, M. ; Escher, J. (2005)
Well-posedness of a two-phase flow with soluble surfactant.
doi: 10.1007/3-7643-7385-7_3
Konferenzveröffentlichung, Bibliographie

2004

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2004)
Theoretische und experimentelle Untersuchungen der Mischvorgänge in T-förmigen Mikroreaktoren – Teil I: Numerische Simulation und Beurteilung des Strömungsmischens.
In: Chem. Ing. Tech., 76
doi: 10.1002/cite.200400085
Artikel, Bibliographie

Bothe, D. ; Koebe, M. ; Wielage, K. ; Prüss, J. ; Warnecke, H.-J.
Hrsg.: Sommerfeld, M. (2004)
Direct numerical simulation of mass transfer between rising gas bubbles and water.
In: Bubbly Flows: Analysis, Modelling and Calculation , Heat and Mass Transfer
Buchkapitel, Bibliographie

Bothe, D. ; Warnecke, H.-J. (2004)
Phänomenologisch-mechanistisches Modell der Kristallisation und Membranverblockung in der Umkehrosmose.
In: Chem. Ing. Tech., 76
doi: 10.1002/cite.200403431
Artikel, Bibliographie

Bothe, D. ; Koebe, M. ; Warnecke, H.-J.
Hrsg.: Schindler, F.-P. (2004)
VOF-simulation of the rise behavior of single air bubbles with oxygen transfer to the ambient liquid.
Konferenzveröffentlichung, Bibliographie

2003

Bothe, D. (2003)
Instantaneous limits of reversible chemical reactions in presence of macroscopic convection.
In: J. Differ. Equations, (193)
doi: 10.1016/S0022-0396(03)00148-7
Artikel, Bibliographie

Bothe, D. ; Koebe, M. ; Wielage, K. (2003)
VOF-Simulations of Mass Transfer from single Bubbles and Bubble Chains rising in Aqueous Solutions.
Konferenzveröffentlichung, Bibliographie

Koebe, M. ; Bothe, D. ; Warnecke, H.-J. (2003)
Direct Numerical Simulation of air bubbles in water/glycerol mixtures: Shapes and velocity fields.
Proc. 2003 ASME Joint U.S.-European Fluids Eng. Conf..
Konferenzveröffentlichung, Bibliographie

Räbiger, N. ; Hoffmann, M. ; Schlüter, M. ; Blazy, S. ; Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2003)
Experimental and numerical investigations of T-shaped micromixers.
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Gerigk, U. ; Warnecke, H.-J.
Hrsg.: The Society of Chemical Engineers (2003)
Hydrodynamic macro-mixing in two-phase bubble columns – Euler-Euler simulations validated by integral measurement techniques.
6th Japanese/German Symposium on Bubble Columns.
Konferenzveröffentlichung, Bibliographie

Bothe, D. (2003)
Nonlinear Evolutions with Caratheodory forcing.
In: Journal of evolution equations : JEE, 3 (3)
doi: 10.1007/s00028-003-0099-5
Artikel, Bibliographie

Bothe, D. ; Hilhorst, D. (2003)
A reaction-diffusion system with fast reversible reaction.
In: J. Math. Anal. Appl., (286)
doi: 10.1016/S0022-247X(03)00457-8
Artikel, Bibliographie

2002

Bothe, D. ; Jakobs, D. ; Warnecke, H.-J. (2002)
The effect of adjacent layers like biofilms on mass transport through nanofiltration membranes.
In: Eng. Life Sci., 2 (10)
doi: 10.1002/1618-2863
Artikel, Bibliographie

Koebe, M. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. (2002)
3D Direct Numerical Simulation of air bubbles in water at high Reynolds numbers.
Proc. 2002 ASME Joint U.S.-European Fluids Eng. Conf.. Montreal, Canada
doi: 10.1115/fedsm2002-31143
Konferenzveröffentlichung, Bibliographie

Motzigemba, M. ; Roth, N. ; Bothe, D. ; Warnecke, H.-J. ; Prüss, J. ; Wielage, K. ; Weigand, B.
Hrsg.: Lozano, A. (2002)
The Effect of Non-Newtonian Flow Behaviour on Binary Droplet Collisions: VOF-Simulation and Experimental Analysis.
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Prüss, J.
Hrsg.: Bemelmans, J. ; Brighi, B. ; Brillard, A. ; Chipot, M. ; Conrad, F. ; Shafrir, I. ; Valente, V. ; Vergara-Caffarelli, G. (2002)
Mass transport through charged membranes.
Konferenzveröffentlichung, Bibliographie

Reipschläger, O. ; Bothe, D. ; Monien, B. ; Prüss, J. ; Weigand, B. ; Warnecke, H.-J.
Hrsg.: Lozano, A. (2002)
Modeling and simulation of the disintegration process in ultrasonic standing wave atomizers.
Konferenzveröffentlichung, Bibliographie

2001

Koschut, G. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. (2001)
Instationary shrinking-core models for heterogeneous ionic reactions.
In: Chem. and Eng. Tech., 24 (8)
doi: 10.1002/1521-4125
Artikel, Bibliographie

Hilker, I. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. (2001)
Chemo-enzymatic epoxidation of unsaturated plant oils.
In: Chem. Eng. Sci., 56
doi: 10.1016/S0009-2509(00)00245-1
Artikel, Bibliographie

Reipschläger, O. ; Bothe, D. ; Broecker, H.-C. ; Monien, B. ; Prüss, J. ; Warnecke, H.-J. ; Weigand, B. ; Wielage, K.
Hrsg.: Panreck, K. ; Dörrscheidt, F. (2001)
Modellierung und Simulation zur Optimierung des Zerstäubungsprozesses in einem Ultraschall-Stehwellenfeld.
Konferenzveröffentlichung, Bibliographie

Bothe, D. (2001)
Periodic solutions of a nonlinear evolution problem from Heterogeneous Catalysis.
In: Differential and Integral Equations, 14
Artikel, Bibliographie

Bothe, D. ; Jakobs, D. ; Warnecke, H.-J. (2001)
The effect of adjacent layers like biofilms on mass transport through nanofiltration membranes.
In: CIT, 73
Artikel, Bibliographie

2000

Bothe, D. ; Waatsack, T. ; Warnecke, H.-J. (2000)
Kinetic modeling of simultaneous phosphate precipitation in municipal sewage treatment plants.
In: Chem. and Eng. Tech., (23)
Artikel, Bibliographie

Motzigemba, M. ; Bothe, D. ; Broecker, H.-C. ; Prüss, J. ; Warnecke, H.-J.
Hrsg.: Akker, H. E. A. van den ; Derksen, J . J. (2000)
A contribution to simulation of mixing in screw extruders employing commercial CFD-software.
Konferenzveröffentlichung, Bibliographie

Bothe, D.
Hrsg.: Lumer, G. ; Weis, L. (2000)
The instantaneous limit of a reaction-diffusion system Evolution Equations and Their Applications in Physical and Life Sciences.
Konferenzveröffentlichung, Bibliographie

1999

Bothe, D. ; Prüss, J. (1999)
Dynamics of a core-shell reaction-diffusion system.
In: Commun.Partial Differential Equations, 24
Artikel, Bibliographie

Bothe, D. ; Waatsack, T. ; Warnecke, H.-J. (1999)
Kinetic modeling of simultaneous phosphate precipitation in municipal sewage treatment plants.
In: CIT, 71
Artikel, Bibliographie

Bothe, D. (1999)
Periodic solutions of non-smooth friction oscillators.
In: Z. Angew. Math. Phys., 50
Artikel, Bibliographie

1998

Bothe, D. (1998)
Multivalued perturbations of m-accretive differential inclusions.
In: Isr. J. Math., 108
Artikel, Bibliographie

1996

Bothe, D. (1996)
Flow invariance for perturbed nonlinear evolution equations.
In: Abstract and Applied Analysis, 1
Artikel, Bibliographie

Bothe, D.
Hrsg.: Lakshmikantham, V. (1996)
Multivalued differential equations with time-dependent constraints.
In: Proc. of the First World Congress of Nonlinear Analysis
Buchkapitel, Bibliographie

Bothe, D. (1996)
Upper semicontinuous perturbations of m-accretive operators and differential inclusions with dissipative right-hand side.
In: Topology in Nonlinear Analysis, 35
Artikel, Bibliographie

1992

Bothe, D. (1992)
Multivalued differential equations of graphs.
In: Nonlin. Anal., 18
Artikel, Bibliographie

1991

Bothe, D. (1991)
Minimal solutions of multivalued differential equations.
In: Diff. and Integral Eqs., 4
Artikel, Bibliographie