PUBLICATIONS
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 liddriven cavity, in Computational Modeling of Bifurcations and Instabilities in Fluid Dynamics, A. Gelfgat (ed.), Series: Computational Methods in Applied Sciences, vol. 50, pp. 233309, Springer (2018), Preprint, Download (25MB).
Publications in Scientific Journals

P.E. des Boscs and H. C. Kuhlmann, Stability of obliquely driven cavity flow, J. Fluid Mech. 928, A25 (2021). pdf

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

I. Barmak, F. Romanò and H. C. Kuhlmann, Finitesize coherent particle structures in highPrandtlnumber liquid bridges, Phys. Rev. Fluids 6, 084301 (2021). pdf

H. Wu, F. Romanò and H. C. Kuhlmann, Attractors for the motion of a finitesize particle in a twosided liddriven cavity, J. Fluid Mech. 906, A4 (2021). pdf

F. Romanò, T. Türkbay and H. C. Kuhlmann, Lagrangian chaos in steady threedimensional liddriven 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, 110121 (2020). pdf

F. Romanò and H. C. Kuhlmann, Finitesize coherent structures in thermocapillary liquid bridges: A review, Int. J. Microgravity Sci. Appl. 36, 360201 (2019). pdf

F. Romanò, P. Kunchi Kannan and H. C. Kuhlmann, Finitesize Lagrangian coherent structures in a twosided liddriven cavity, Phys. Rev. Fluids 4, 024302 (2019). pdf

F. Romanò, H. Wu and H. C. Kuhlmann, A generic mechanism for finitesize coherent particle structures, Int. J. Multiphase Flow 111, 42–52 (2019). pdf

F. Romanò and H. C. Kuhlmann, Finitesize 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, 9831000 (2018). pdf

F. Romanò, H. C. Kuhlmann, M. Ishimura and I. Ueno, Limit cycles for the motion of finitesize 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, 10661095 (2017). pdf

F. Romanò, S. Albensoeder and H. C. Kuhlmann, Topology of threedimensional steady cellular flow in a twosided antiparallel liddriven cavity, J. Fluid Mech. 826, 302334 (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, 631650 (2017). pdf

F. Romanò and H. C. Kuhlmann, Particleboundary interaction in a sheardriven cavity flow, Theor. Comput. Fluid Dyn. 31, 427445 (2017). pdf

J. Emhofer, B. Beladi, P. Dudzinski, T. Fleckl and H. C. Kuhlmann, Analysis of a crossflow liquiddesiccant fallingfilm, Appl. Thermal Engng 124, 91102 (2017). pdf

F. Romanò and H. C. Kuhlmann, Smoothedprofile method for momentum and heat transfer in particulate flows, Int. J. Num. Meth. Fluids 83, 485512 (2017). pdf

F. Romanò and H. C. Kuhlmann, Numerical investigation of the interaction of a finitesize particle with a tangentially moving boundary, Int. J. Heat Fluid Flow 64, Part A, 7582 (2016). pdf

F. H. Muldoon and H. C. Kuhlmann, Origin of particle accumulation structures in liquid bridges: particleboundary interactions versus inertia, Phys. Fluids 28, 073305107330517 (2016). pdf

F. H. Muldoon and H. C. Kuhlmann, Objective function choice for control of a thermocapillary flow using an adjointbased control strategy, Int. J. Heat Fluid Flow 56, 2842 (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, Particledepletion dynamics in axisymmetric thermocapillary flows, Eur. Phys. J. Special Topics 224, 309318 (2015). pdf

H. C. Kuhlmann, Largescale liquid motion in free thermocapillary films, Microgravity Sci. Technol. 26, 397400 (2014). pdf

H. C. Kuhlmann, R. V. Mukin, T. Sano and I. Ueno, Structure and dynamics of particleaccumulation in thermocapillary liquid bridges, Fluid Dynamics Res. 46, 041421104142122 (2014). pdf

H. C. Kuhlmann and S. Albensoeder, Stability of the steady threedimensional liddriven flow in a cube and the supercritical flow dynamics, Phys. Fluids 26, 024104102410411 (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, 463491 (2014). pdf

F. H. Muldoon and H. C. Kuhlmann, Different particleaccumulation structures arising from particleboundary 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 particleaccumulation structures in periodic freesurface flows, Comput. Fluids 88, 43–50 (2013). pdf

T. SiegmannHegerfeld, S. Albensoeder and H. C. Kuhlmann, Threedimensional flow in a liddriven cavity with widthtoheight 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, 4065 (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, 2012082012012082011 (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, 25912602 (2012). pdf

E. Hofmann and H. C. Kuhlmann, On the optimum mass transfer of flat absorbing falling films, Int. J. Heat Mass Transfer 55, 76867697 (2012). pdf

D. Lanzerstorfer and H. C. Kuhlmann, Global stability of multiple solutions in plane suddenexpansion flow, J. Fluid Mech. 702, 378402 (2012). pdf

H. C. Kuhlmann and F. H. Muldoon, Particleaccumulation structures in periodic freesurface flows: Inertia versus surface collisions, Phys. Rev. E 85, 046310 (2012). pdf

M. Ahmed and H. C. Kuhlmann, Flow instability in triangular liddriven cavities with wall motion away from a rectangular corner, Fluid Dynamics Res. 44, 025501 (2012). pdf

D. Lanzerstorfer and H. C. Kuhlmann, Threedimensional instability of the flow over a forwardfacing step, J. Fluid Mech. 695, 390404 (2012). pdf

D. Lanzerstorfer and H. C. Kuhlmann, Global stability of the twodimensional flow over a backwardfacing step, J. Fluid Mech. 693, 127 (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, Threedimensional flow instability in a liddriven isosceles triangular cavity, J. Fluid Mech. 675, 369396 (2011). pdf

H. C. Kuhlmann and U. Schoisswohl, Flow instabilities in thermocapillarybuoyant liquid pools, J. Fluid Mech. 644, 509535 (2010). pdf

T. SiegmannHegerfeld, S. Albenoseder and H. C. Kuhlmann, Two and threedimensional flows in nearly rectangular cavities driven by collinear motion of two facing walls, Exp. Fluids 45, 781796 (2008). pdf

H. C. Kuhlmann and S. Albensoeder, Threedimensional flow instabilities in a thermocapillarydriven cavity, Phys. Rev E 77, 036303 (2008). pdf

S. Shiratori, H. C. Kuhlmann and T. Hibiya, Linear stability of thermocapillary flow in partially confined halfzones, Phys. Fluids 19, 044103 (2007). pdf

S. Shiratori, H. C. Kuhlmann, and T. Hibiya, Oscillatory transition of axisymmetric flow in partially confined thermocapillary liquid bridges of lowPr fluids: Effect of centrifugal and elliptic instability mechanisms, J. Jap. Soc. Microgravity Appl. 23, 233243 (2006) (in Japanese). pdf

S. Albensoeder and H. C. Kuhlmann, Nonlinear threedimensional flow in the liddriven square cavity, J. Fluid Mech. 569, 465480 (2006). pdf

S. Shiratori, T. Hibiya and H. C. Kuhlmann, Effect of centrifugal forces on the instability of the thermocapillary flow in partially confined halfzones, Microgravity Sci. Technol. 18, 132136 (2006). pdf

S. Domesi, Particle motion in the axisymmetric toroidal flow in thermocapillary liquid bridges: towards understanding PAS, Microgravity Sci. Technol. 18, 137140 (2006). pdf

S. Albensoeder and H. C. Kuhlmann, Accurate threedimensional liddriven cavity flow, J. Comp. Phys. 206, 536558 (2005). pdf

H. C. Kuhlmann and S. Albensoeder, Strained vortices in driven cavities, Z. Angew. Math. Mech. 85, 387399 (2005). pdf

S. Albensoeder and H. C. Kuhlmann, Stability balloon for the doubleliddriven cavity flow, Phys. Fluids 15, 24532456 (2003). pdf

Ch. Nienhüser and H. C. Kuhlmann, Stability of thermocapillary flows in noncylindrical liquid bridges (Corrigendum), J. Fluid Mech. 480, 333334 (2003). pdf

H. C. Kuhlmann and Ch. Nienhüser, Dynamic freesurface deformations in thermocapillary liquid bridges, Fluid Dyn. Res. 31, 103127 (2002). pdf

S. Albensoeder and H. C. Kuhlmann, Threedimensional instability of two counterrotating vortices in a rectangular cavity driven by parallel wall motion, Eur. J. Mech. B/Fluids 21, 307316 (2002). pdf

S. Albensoeder and H. C. Kuhlmann, Linear stability of rectangular cavity flows driven by antiparallel motion of two facing walls, J. Fluid Mech. 458, 153180 (2002). pdf

Ch. Nienhüser and H. C. Kuhlmann, Stability of thermocapillary flows in noncylindrical liquid bridges, J. Fluid Mech. 458, 3573 (2002). pdf

C. Blohm and H. C. Kuhlmann, The twosided liddriven cavity: Experiments on stationary and timedependent flows, J. Fluid Mech. 450, 6795 (2002). pdf

S. Albensoeder, H. C. Kuhlmann and H. J. Rath, Multiplicity of steady twodimensional flows in twosided liddriven cavities, Theor. Comp. Fluid Dyn. 14, 223241 (2001). pdf

S. Albensoeder, H. C. Kuhlmann and H. J. Rath, Threedimensional centrifugalflow instabilities in the liddrivencavity problem, Phys. Fluids 13, 121135 (2001). pdf

J. Leypoldt, H. C. Kuhlmann, and H. J. Rath, Threedimensional numerical simulation of thermocapillary flows in cylindrical liquid bridges, J. Fluid Mech. 414, 285314 (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, 207218 (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, 281302 (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, 535543 (1999). pdf

H. C. Kuhlmann, M. Wanschura and H. J. Rath, Elliptic instability in twosided liddriven cavity flow, Eur. J. Mech. B/Fluids 17, 561569 (1998). pdf

M. Wanschura, H. C. Kuhlmann and H. J. Rath, Linear stability of twodimensional combined buoyantthermocapillary flow in cylindrical liquid bridges, Phys.Rev. E 55, 70367042 (1997). pdf

H. C. Kuhlmann, M. Wanschura and H. J. Rath, Flow in twosided liddriven cavities: Nonuniqueness, instabilities and cellular structures, J. Fluid Mech. 336, 267299 (1997). pdf

M. Wanschura, H. C. Kuhlmann and H. J. Rath, Threedimensional instability of axisymmetric buoyant convection in cylinders heated from below, J. Fluid Mech. 326, 399415 (1996). pdf

V. Saß, H. C. Kuhlmann and H. J. Rath, Investigation of 3D thermocapillary convection in a cubic container by a Multigrid method, Int. J. Heat Mass Transfer 39, 603613 (1995). pdf

M. Wanschura, V. Shevtsova, H. C. Kuhlmann and H. J. Rath, Convective instability mechanisms in thermocapillary liquid bridges, Phys. Fluids 7, 912925 (1995). pdf

H. C. Kuhlmann, Thermocapillary flows in finite size systems, Mathl. Comput. Modelling 20, 145173 (1994). pdf

H. C. Kuhlmann, Hydrodynamic instabilities in thermocapillary flows, Microgravity Sci. Technol. 7, 7582 (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, 21172120 (1993). pdf

H. C. Kuhlmann and H. J. Rath, Hydrodynamic instabilities in cylindrical thermocapillary liquid bridges, J. Fluid Mech. 247, 247274 (1993). pdf

H. C. Kuhlmann and R. R. Adabala, Biorthogonal series method for Oseen type flows, Int. J. Engng. Sci. 31, 12431258 (1993). pdf

H. C. Kuhlmann, Small amplitude thermocapillary flow and surface deformations in a liquid bridge, Phys. Fluids A 1, 672677 (1989). pdf

H. C. Kuhlmann, D. Roth und M. Lücke, Taylor vortex flow under harmonic modulation of the driving force, Phys. Rev. A 39, 745762 (1989). pdf

H. C. Kuhlmann, Model for TaylorCouette flow, Phys. Rev. A 32, 17031707 (1985). pdf