Publications - Photographs by Hendrik Kuhlmann

Poster of the 12th European Fluid Mechanics Conference at TU Wien in 2018. The motif is based on the smoke image shown here.

Throughout my professional career as a scientist and teacher, I have authored numerous journal articles and books, all centered around fluid mechanics. Amidst the myriad topics within this scientific domain, my primary focus has been on comprehending the emergence of periodic flow patterns from initially simple and symmetric laminar flows. As the strength of the flow increases, the fluid motion undergoes changes, and the symmetry of the basic flow is diminished. Frequently, though not invariably, one can observe a sequence of flow patterns whose symmetry is progressively reduced until the motion transitions into a chaotic or turbulent state.

An everyday example is the evolution of the trailing vortices produced by large aircraft, which become visible through the condensation of water vapor. On a clear day, one can observe how these vortices evolve after being left behind by the aircraft. Another example, shown on the left, is the hot plume rising from a point source (visualized by the smoke from an incense stick) which first becomes slightly wavy, then developes large periodic flow structures and finally dissolves in a turbulent manner.

Open Researcher & Contributor ID (ORCID):
0000-0003-1783-3255

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

P.-E. des Boscs and H. C. Kuhlmann, Flow stability and sequence of bifurcations in a cubic cavity driven by a constant shear stress, J. Fluid Mech. 978, A28 (2024). (open access)
M. Stojanović á &bacute; ć &dacute; é &facute; &hacute; &hacute; í , F. Romanò and H. C. Kuhlmann, High-Prandtl-number thermocapillary liquid bridges with dynamically deformed interface: Effect of an axial gas flow on the linear stability, J. Fluid Mech. 978, A27 (2024). (open access)
M. Stojanović, F. Romanò and H. C. Kuhlmann, Flow instability in high-Prandtl-number liquid bridges with fully temperature-dependent thermo-physical properties, J. Fluid Mech. 978, A17 ( 2024). (open access)
M. Stojanović, F. Romanò and H. C. Kuhlmann, Instability of axisymmetric flow in thermocapillary liquid bridges: Kinetic and thermal energy budgets for two-phase flow with temperature-dependent material properties, Eur. J. Applied Math. 35, 267-293 (2024). (open access)
L. Babor and H. C. Kuhlmann, Linear stability of thermocapillary flow in a droplet attached to a hot or cold substrate, Phys. Rev. Fluids 8, 114003 (2023).
M. Stojanović, F. Romanò and H. C. Kuhlmann, MaranStable: A linear stability solver for multiphase flows in canonical geometries, Software X 23, 101405 (2023). (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). (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). (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). (open access)
P.-E. des Boscs and H. C. Kuhlmann, Stability of obliquely driven cavity flow, J. Fluid Mech. 928, A25 (2021). (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). (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).
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). (open access)
F. Romanò, T. Türkbay and H. C. Kuhlmann, Lagrangian chaos in steady three-dimensional lid-driven cavity flow, Chaos 30, 073121 (2020).
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).
F. Romanò and H. C. Kuhlmann, Finite-size coherent structures in thermocapillary liquid bridges: A review, Int. J. Microgravity Sci. Appl. 36, 360201 (2019). (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).
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).
F. Romanò and H. C. Kuhlmann, Finite-size Lagrangian coherent structures in thermocapillary liquid bridges, Phys. Rev. Fluids 3, 094302 (2018).
C. Kuehn, F. Romanò and H. C. Kuhlmann, Tracking particles in flows near invariant manifolds via balance functions, Nonlinear Dyn. 92, 983-1000 (2018). , (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).
S. Masoudi and H. C. Kuhlmann, Axisymmetric buoyant-thermocapillary flow in sessile and hanging droplets, J. Fluid Mech. 826, 1066-1095 (2017).
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).
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).
F. Romanò and H. C. Kuhlmann, Particle-boundary interaction in a shear-driven cavity flow, Theor. Comput. Fluid Dyn. 31, 427-445 (2017). (open access)
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).
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).
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).
F. H. Muldoon and H. C. Kuhlmann, Origin of particle accumulation structures in liquid bridges: particle-boundary interactions versus inertia, Phys. Fluids 28, 073305 (2016).
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).
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).
H. C. Kuhlmann and T. Lemée, Particle-depletion dynamics in axisymmetric thermocapillary flows, Eur. Phys. J. Special Topics 224, 309-318 (2015).
H. C. Kuhlmann, Large-scale liquid motion in free thermocapillary films, Microgravity Sci. Technol. 26, 397-400 (2014).
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 (2014).
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 (2014).
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).
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).
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).
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).
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).
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).
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).
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).
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).
D. Lanzerstorfer and H. C. Kuhlmann, Global stability of multiple solutions in plane sudden-expansion flow, J. Fluid Mech. 702, 378-402 (2012).
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).
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).
D. Lanzerstorfer and H. C. Kuhlmann, Three-dimensional instability of the flow over a forward-facing step, J. Fluid Mech. 695, 390-404 (2012).
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).
E. Hofmann and H. C. Kuhlmann, Particle accumulation on periodic orbits by repeated free surface collisions, Phys. Fluids 23, 0721106 (2011).
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).
H. C. Kuhlmann and U. Schoisswohl, Flow instabilities in thermocapillary-buoyant liquid pools, J. Fluid Mech. 644, 509-535 (2010).
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).
H. C. Kuhlmann and S. Albensoeder, Three-dimensional flow instabilities in a thermocapillary-driven cavity, Phys. Rev E 77, 036303 (2008).
S. Shiratori, H. C. Kuhlmann and T. Hibiya, Linear stability of thermocapillary flow in partially confined half-zones, Phys. Fluids 19, 044103 (2007).
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).
S. Albensoeder and H. C. Kuhlmann, Nonlinear three-dimensional flow in the lid-driven square cavity, J. Fluid Mech. 569, 465-480 (2006).
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).
S. Domesi, Particle motion in the axisymmetric toroidal flow in thermocapillary liquid bridges: towards understanding PAS, Microgravity Sci. Technol. 18, 137-140 (2006).
S. Albensoeder and H. C. Kuhlmann, Accurate three-dimensional lid-driven cavity flow, J. Comp. Phys. 206, 536-558 (2005).
H. C. Kuhlmann and S. Albensoeder, Strained vortices in driven cavities, Z. Angew. Math. Mech. 85, 387-399 (2005).
S. Albensoeder and H. C. Kuhlmann, Stability balloon for the double-lid-driven cavity flow, Phys. Fluids 15, 2453-2456 (2003).
Ch. Nienhüser and H. C. Kuhlmann, Stability of thermocapillary flows in non-cylindrical liquid bridges (Corrigendum), J. Fluid Mech. 480, 333-334 (2003).
H. C. Kuhlmann and Ch. Nienhüser, Dynamic free-surface deformations in thermocapillary liquid bridges, Fluid Dyn. Res. 31, 103-127 (2002).
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).
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).
Ch. Nienhüser and H. C. Kuhlmann, Stability of thermocapillary flows in non-cylindrical liquid bridges, J. Fluid Mech. 458, 35-73 (2002).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
M. Wanschura, V. Shevtsova, H. C. Kuhlmann and H. J. Rath, Convective instability mechanisms in thermocapillary liquid bridges, Phys. Fluids 7, 912-925 (1995).
H. C. Kuhlmann, Thermocapillary flows in finite size systems, Mathl. Comput. Modelling 20, 145-173 (1994).
H. C. Kuhlmann, Hydrodynamic instabilities in thermocapillary flows, Microgravity Sci. Technol. 7, 75-82 (1994). Abstract: , Full text not avaialble, but: [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).
H. C. Kuhlmann and H. J. Rath, Hydrodynamic instabilities in cylindrical thermocapillary liquid bridges, J. Fluid Mech. 247, 247-274 (1993).
H. C. Kuhlmann and R. R. Adabala, Biorthogonal series method for Oseen type flows, Int. J. Engng. Sci. 31, 1243-1258 (1993).

H. C. Kuhlmann, Small amplitude thermocapillary flow and surface deformations in a liquid bridge, Phys. Fluids A 1, 672-677 (1989).
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).
H. C. Kuhlmann, Model for Taylor-Couette flow, Phys. Rev. A 32, 1703-1707 (1985).