Books

• H. C. Kuhlmann, Strömungsmechanik, Pearson Studium, München (2007), in German. [Corrigendum]
• H. C. Kuhlmann, Thermocapillary convection in models of crystal growth, Springer Tracts in Modern Physics, vol. 152, Springer, Berlin, Heidelberg (1999). [Corrigendum]
• H. C. Kuhlmann and H. J. Rath (eds.), Free surface flows, CISM Courses and Lectures, vol. 391, International Centre for Mechanical Sciences, Springer, Wien, New York (1998).

Book Chapter

• H. C. Kuhlmann and F. Romanò, The lid-driven cavity, in Computational Modeling of Bifurcations and Instabilities in Fluid Dynamics, A. Gelfgat (ed.), Series: Computational Methods in Applied Sciences, vol. 50, pp. 233-309, Springer (2018), Preprint, Download (25MB).

Publications in Scientific Journals

• M. Stojanović, F. Romanò and H. C. Kuhlmann, MaranStable: A linear stability solver for multiphase flows in canonical geometries, Software X 23, 101405 (2023). pdf (open access)
• L. Babor and H. C. Kuhlmann, Lagrangian transport in the time-periodic two-dimensional lid-driven square cavity, Phys. Fluids 35, 033611 (2023). pdf (open access)
• H. Wu, F. Romanò and H. C. Kuhlmann, Attractors for the motion of a finite-size particle in a cuboidal lid-driven cavity, J. Fluid Mech. 955, A16 (2023). pdf (open access)
• M. Stojanović, F. Romanò and H. C. Kuhlmann, Stability of thermocapillary flow in liquid bridges fully coupled to the gas phase, J. Fluid Mech. 949, A5 (2022). pdf (open access)
• P.-E. des Boscs and H. C. Kuhlmann, Stability of obliquely driven cavity flow, J. Fluid Mech. 928, A25 (2021). pdf (open access)
• F. Romanò, P.-E. des Boscs and H. C. Kuhlmann, Stokesian motion of a spherical particle near a right corner made by tangentially moving walls, J. Fluid Mech. 927, A41 (2021). pdf (open access)
• I. Barmak, F. Romanò and H. C. Kuhlmann, Finite-size coherent particle structures in high-Prandtl-number liquid bridges, Phys. Rev. Fluids 6, 084301 (2021). pdf
• H. Wu, F. Romanò and H. C. Kuhlmann, Attractors for the motion of a finite-size particle in a two-sided lid-driven cavity, J. Fluid Mech. 906, A4 (2021). pdf (open access)
• F. Romanò, T. Türkbay and H. C. Kuhlmann, Lagrangian chaos in steady three-dimensional lid-driven cavity flow, Chaos 30, 073121 (2020). pdf
• F. Romanò, P.-E. des Boscs and H. C. Kuhlmann, Forces and torques on a sphere moving near a dihedral corner in creeping flow, Eur. J. Mech. B/Fluids 84, 110-121 (2020). pdf (open manuscript available)
• F. Romanò and H. C. Kuhlmann, Finite-size coherent structures in thermocapillary liquid bridges: A review, Int. J. Microgravity Sci. Appl. 36, 360201 (2019). pdf (open access)
• F. Romanò, P. Kunchi Kannan and H. C. Kuhlmann, Finite-size Lagrangian coherent structures in a two-sided lid-driven cavity, Phys. Rev. Fluids 4, 024302 (2019). pdf
• F. Romanò, H. Wu and H. C. Kuhlmann, A generic mechanism for finite-size coherent particle structures, Int. J. Multiphase Flow 111, 42–52 (2019). pdf
• F. Romanò and H. C. Kuhlmann, Finite-size Lagrangian coherent structures in thermocapillary liquid bridges, Phys. Rev. Fluids 3, 094302 (2018). pdf
• C. Kuehn, F. Romanò and H. C. Kuhlmann, Tracking particles in flows near invariant manifolds via balance functions, Nonlinear Dyn. 92, 983-1000 (2018). pdf, Sharing link
• F. Romanò, H. C. Kuhlmann, M. Ishimura and I. Ueno, Limit cycles for the motion of finite-size particles in axisymmetric thermocapillary flows in liquid bridges, Phys. Fluids 29, 093303 (2017). pdf
• S. Masoudi and H. C. Kuhlmann, Axisymmetric buoyant–thermocapillary flow in sessile and hanging droplets, J. Fluid Mech. 826, 1066-1095 (2017). pdf
• F. Romanò, S. Albensoeder and H. C. Kuhlmann, Topology of three-dimensional steady cellular flow in a two-sided anti-parallel lid-driven cavity, J. Fluid Mech. 826, 302-334 (2017). pdf
• F. Romanò, A. Hajisharifi and H. C. Kuhlmann, Cellular flow in a partially filled rotating drum: regular and chaotic advection, J. Fluid Mech. 825, 631-650 (2017). pdf
• F. Romanò and H. C. Kuhlmann, Particle-boundary interaction in a shear-driven cavity flow, Theor. Comput. Fluid Dyn. 31, 427-445 (2017). pdf
• J. Emhofer, B. Beladi, P. Dudzinski, T. Fleckl and H. C. Kuhlmann, Analysis of a cross-flow liquid-desiccant falling-film, Appl. Thermal Engng 124, 91-102 (2017). pdf
• F. Romanò and H. C. Kuhlmann, Smoothed-profile method for momentum and heat transfer in particulate flows, Int. J. Num. Meth. Fluids 83, 485-512 (2017). pdf
• F. Romanò and H. C. Kuhlmann, Numerical investigation of the interaction of a finite-size particle with a tangentially moving boundary, Int. J. Heat Fluid Flow 64, Part A, 75-82 (2016). pdf
• F. H. Muldoon and H. C. Kuhlmann, Origin of particle accumulation structures in liquid bridges: particle-boundary interactions versus inertia, Phys. Fluids 28, 073305-1-073305-17 (2016). pdf
• F. H. Muldoon and H. C. Kuhlmann, Objective function choice for control of a thermocapillary flow using an adjoint-based control strategy, Int. J. Heat Fluid Flow 56, 28-42 (2015). pdf
• J. Kühnen, P. Braunshier, M. Schwegel, H. C. Kuhlmann and B. Hof, Subcritical versus supercritical transition to turbulence in curved pipes, J. Fluid Mech. 770, R3 (2015). pdf
• H. C. Kuhlmann and T. Lemee, Particle-depletion dynamics in axisymmetric thermocapillary flows, Eur. Phys. J. Special Topics 224, 309-318 (2015). pdf
• H. C. Kuhlmann, Large-scale liquid motion in free thermocapillary films, Microgravity Sci. Technol. 26, 397-400 (2014). pdf
• H. C. Kuhlmann, R. V. Mukin, T. Sano and I. Ueno, Structure and dynamics of particle-accumulation in thermocapillary liquid bridges, Fluid Dynamics Res. 46, 041421-1-041421-22 (2014). pdf
• H. C. Kuhlmann and S. Albensoeder, Stability of the steady three-dimensional lid-driven flow in a cube and the supercritical flow dynamics, Phys. Fluids 26, 024104-1-024104-11 (2014). pdf
• J. Kühnen, J. Holzner, B. Hof and H. C. Kuhlmann, Experimental investigation of transitional flow in a toroidal pipe, J. Fluid Mech. 738, 463-491 (2014). pdf
• F. H. Muldoon and H. C. Kuhlmann, Different particle-accumulation structures arising from particle-boundary interactions in a liquid bridge, Int. J. Multiphase Flow 59, 145–159 (2014). pdf
• R. V. Mukin and H. C. Kuhlmann, Topology of hydrothermal waves in liquid bridges and dissipative structures of transported particles, Phys. Rev. E 88, 053016 (2013). pdf
• F. H. Muldoon and H. C. Kuhlmann, Numerical error in modeling of particle-accumulation structures in periodic free-surface flows, Comput. Fluids 88, 43–50 (2013). pdf
• T. Siegmann-Hegerfeld, S. Albensoeder and H. C. Kuhlmann, Three-dimensional flow in a lid-driven cavity with width-to-height ratio of 1.6, Experiments in Fluids 54, 1526 (2013). pdf
• F. H. Muldoon and H. C. Kuhlmann, Coherent particulate structures by boundary interaction of small particles in confined periodic flows, Physica D 253, 40-65 (2013). pdf
• C. Klopsch, H. C. Kuhlmann and F. G. Barth, Airflow elicits a spider's jump towards airborne prey. II. Flow characteristics guiding behaviour, J. R. Soc. Interface 10, 20120820-1-20120820-11 (2013). pdf
• C. Klopsch, H. C. Kuhlmann and F. G. Barth, Airflow elicits a spider's jump towards airborne prey. I. Airflow around a flying blowfly, J. R. Soc. Interface 9, 2591-2602 (2012). pdf
• E. Hofmann and H. C. Kuhlmann, On the optimum mass transfer of flat absorbing falling films, Int. J. Heat Mass Transfer 55, 7686-7697 (2012). pdf
• D. Lanzerstorfer and H. C. Kuhlmann, Global stability of multiple solutions in plane sudden-expansion flow, J. Fluid Mech. 702, 378-402 (2012). pdf
• H. C. Kuhlmann and F. H. Muldoon, Particle-accumulation structures in periodic free-surface flows: Inertia versus surface collisions, Phys. Rev. E 85, 046310 (2012). pdf
• M. Ahmed and H. C. Kuhlmann, Flow instability in triangular lid-driven cavities with wall motion away from a rectangular corner, Fluid Dynamics Res. 44, 025501 (2012). pdf
• D. Lanzerstorfer and H. C. Kuhlmann, Three-dimensional instability of the flow over a forward-facing step, J. Fluid Mech. 695, 390-404 (2012). pdf
• D. Lanzerstorfer and H. C. Kuhlmann, Global stability of the two-dimensional flow over a backward-facing step, J. Fluid Mech. 693, 1-27 (2012). pdf
• E. Hofmann and H. C. Kuhlmann, Particle accumulation on periodic orbits by repeated free surface collisions, Phys. Fluids 23, 0721106 (2011). pdf
• L. M. Gonzalez, M. Ahmed, J. Kühnen, H. C. Kuhlmann and V. Theofilis, Three-dimensional flow instability in a lid-driven isosceles triangular cavity, J. Fluid Mech. 675, 369-396 (2011). pdf
• H. C. Kuhlmann and U. Schoisswohl, Flow instabilities in thermocapillary-buoyant liquid pools, J. Fluid Mech. 644, 509-535 (2010). pdf
• T. Siegmann-Hegerfeld, S. Albenoseder and H. C. Kuhlmann, Two- and three-dimensional flows in nearly rectangular cavities driven by collinear motion of two facing walls, Exp. Fluids 45, 781-796 (2008). pdf
• H. C. Kuhlmann and S. Albensoeder, Three-dimensional flow instabilities in a thermocapillary-driven cavity, Phys. Rev E 77, 036303 (2008). pdf
• S. Shiratori, H. C. Kuhlmann and T. Hibiya, Linear stability of thermocapillary flow in partially confined half-zones, Phys. Fluids 19, 044103 (2007). pdf
• S. Shiratori, H. C. Kuhlmann, and T. Hibiya, Oscillatory transition of axisymmetric flow in partially confined thermo-capillary liquid bridges of low-Pr fluids: Effect of centrifugal and elliptic instability mechanisms, J. Jap. Soc. Microgravity Appl. 23, 233-243 (2006) (in Japanese). pdf
• S. Albensoeder and H. C. Kuhlmann, Nonlinear three-dimensional flow in the lid-driven square cavity, J. Fluid Mech. 569, 465-480 (2006). pdf
• S. Shiratori, T. Hibiya and H. C. Kuhlmann, Effect of centrifugal forces on the instability of the thermocapillary flow in partially confined half-zones, Microgravity Sci. Technol. 18, 132-136 (2006). pdf
• S. Domesi, Particle motion in the axisymmetric toroidal flow in thermocapillary liquid bridges: towards understanding PAS, Microgravity Sci. Technol. 18, 137-140 (2006). pdf
• S. Albensoeder and H. C. Kuhlmann, Accurate three-dimensional lid-driven cavity flow, J. Comp. Phys. 206, 536-558 (2005). pdf
• H. C. Kuhlmann and S. Albensoeder, Strained vortices in driven cavities, Z. Angew. Math. Mech. 85, 387-399 (2005). pdf
• S. Albensoeder and H. C. Kuhlmann, Stability balloon for the double-lid-driven cavity flow, Phys. Fluids 15, 2453-2456 (2003). pdf
• Ch. Nienhüser and H. C. Kuhlmann, Stability of thermocapillary flows in non-cylindrical liquid bridges (Corrigendum), J. Fluid Mech. 480, 333-334 (2003). pdf
• H. C. Kuhlmann and Ch. Nienhüser, Dynamic free-surface deformations in thermocapillary liquid bridges, Fluid Dyn. Res. 31, 103-127 (2002). pdf
• S. Albensoeder and H. C. Kuhlmann, Three-dimensional instability of two counter-rotating vortices in a rectangular cavity driven by parallel wall motion, Eur. J. Mech. B/Fluids 21, 307-316 (2002). pdf
• S. Albensoeder and H. C. Kuhlmann, Linear stability of rectangular cavity flows driven by anti-parallel motion of two facing walls, J. Fluid Mech. 458, 153-180 (2002). pdf
• Ch. Nienhüser and H. C. Kuhlmann, Stability of thermocapillary flows in non-cylindrical liquid bridges, J. Fluid Mech. 458, 35-73 (2002). pdf
• C. Blohm and H. C. Kuhlmann, The two-sided lid-driven cavity: Experiments on stationary and time-dependent flows, J. Fluid Mech. 450, 67-95 (2002). pdf
• S. Albensoeder, H. C. Kuhlmann and H. J. Rath, Multiplicity of steady two-dimensional flows in two-sided lid-driven cavities, Theor. Comp. Fluid Dyn. 14, 223-241 (2001). pdf
• S. Albensoeder, H. C. Kuhlmann and H. J. Rath, Three-dimensional centrifugal-flow instabilities in the lid-driven-cavity problem, Phys. Fluids 13, 121-135 (2001). pdf
• J. Leypoldt, H. C. Kuhlmann, and H. J. Rath, Three-dimensional numerical simulation of thermocapillary flows in cylindrical liquid bridges, J. Fluid Mech. 414, 285-314 (2000). pdf
• H. C. Kuhlmann, Ch. Nienhüser and H. J. Rath, The local flow in a wedge between a rigid wall and a surface of constant shear stress, J. Eng. Math. 36, 207-218 (1999). pdf
• M. Prange, M. Wanschura, H. C. Kuhlmann and H. J. Rath, Linear stability of thermocapillary convection in cylindrical liquid bridges under axial magnetic fields, J. Fluid Mech. 394, 281-302 (1999). pdf
• Zh. Kozhoukharova, H. C. Kuhlmann, M. Wanschura and H. J. Rath, On the influence of a variable viscosity on the onset of hydrothermal waves in thermocapillary liquid bridges, Z. Angew. Math. Mech. 79, 535-543 (1999). pdf
• H. C. Kuhlmann, M. Wanschura and H. J. Rath, Elliptic instability in two-sided lid-driven cavity flow, Eur. J. Mech. B/Fluids 17, 561-569 (1998). pdf
• M. Wanschura, H. C. Kuhlmann and H. J. Rath, Linear stability of two-dimensional combined buoyant-thermocapillary flow in cylindrical liquid bridges, Phys.Rev. E 55, 7036-7042 (1997). pdf
• H. C. Kuhlmann, M. Wanschura and H. J. Rath, Flow in two-sided lid-driven cavities: Non-uniqueness, instabilities and cellular structures, J. Fluid Mech. 336, 267-299 (1997). pdf
• M. Wanschura, H. C. Kuhlmann and H. J. Rath, Three-dimensional instability of axisymmetric buoyant convection in cylinders heated from below, J. Fluid Mech. 326, 399-415 (1996). pdf
• V. Saß, H. C. Kuhlmann and H. J. Rath, Investigation of 3D thermocapillary convection in a cubic container by a Multi-grid method, Int. J. Heat Mass Transfer 39, 603-613 (1995). pdf
• M. Wanschura, V. Shevtsova, H. C. Kuhlmann and H. J. Rath, Convective instability mechanisms in thermocapillary liquid bridges, Phys. Fluids 7, 912-925 (1995). pdf
• H. C. Kuhlmann, Thermocapillary flows in finite size systems, Mathl. Comput. Modelling 20, 145-173 (1994). pdf
• H. C. Kuhlmann, Hydrodynamic instabilities in thermocapillary flows, Microgravity Sci. Technol. 7, 75-82 (1994). link to journal
• H. C. Kuhlmann and H. J. Rath, On the interpretation of phase measurements of oscillatory thermocapillary convection in liquid bridges, Phys. Fluids A 5, 2117-2120 (1993). pdf
• H. C. Kuhlmann and H. J. Rath, Hydrodynamic instabilities in cylindrical thermocapillary liquid bridges, J. Fluid Mech. 247, 247-274 (1993). pdf
• H. C. Kuhlmann and R. R. Adabala, Biorthogonal series method for Oseen type flows, Int. J. Engng. Sci. 31, 1243-1258 (1993). pdf
• H. C. Kuhlmann, Small amplitude thermocapillary flow and surface deformations in a liquid bridge, Phys. Fluids A 1, 672-677 (1989). pdf
• H. C. Kuhlmann, D. Roth und M. Lücke, Taylor vortex flow under harmonic modulation of the driving force, Phys. Rev. A 39, 745-762 (1989). pdf
• H. C. Kuhlmann, Model for Taylor-Couette flow, Phys. Rev. A 32, 1703-1707 (1985). pdf