Prof. Dr. rer. nat. Markus Scholle
Scholle

Lehrgebiete

  • Physik
  • Technische Mechanik
  • Strömungsmechanik und Thermodynamik
  • Felder und Wellen
  • Modellbildung und Simulation
  • Finite Elemente
  • Technische Dynamik
  • Sensorik

Forschungsgebiete

  • Fluidmechanik
  • FEM
  • Versetzungen und Plastizität
  • Thermofluiddynamik
  • Tribologie, Hydrodynamische Schmierung
  • Elastomechanik
  • Variationsmethoden
  • Ritzsches Verfahren

Kooperationen mit Unternehmen

  • ZF Lemförderer Fahrwerktechnik GmbH
  • Mobil Elektronik GmbH, Langenbeutingen
  • Carl Zeiss Automated Inspection GmbH & Co. KG, Öhringen
  • Federal-Mogul Nürnberg GmbH

Kontakt zu anderen Universitäten

  • University of Durham
  • TU Berlin
  • Universität Bayreuth
  • TU Darmstadt

Jüngste 3 Publikationen

Publikationen

Referierte Zeitschriftenartikel (peer reviewed):

M. Scholle, System symmetries and inverse variational problems in continuum theory. Arch. Mech. 50 (3) (1998) 599-611.

K.-H. Anthony, A. Azirhi, M. Scholle, Lagrangian field theory of plasticity based on dislocation dynamics - Various Approaches. J. Phys. IV France 8 (8) (1998) 1-12.

M. Scholle, A. Wierschem, N. Aksel, Creeping Newtonian Film Flow Down an Inclined Wavy Plane. Part I. Z. angew. Math. Mech. 81 (3) (2001) 487-488.

A. Wierschem, M. Scholle, N. Aksel, Creeping Newtonian Film Flow Down an Inclined Wavy Plane. Part II. Z. angew. Math. Mech. 81 (3) (2001) 493-494.

M. Scholle, N. Aksel, An exact solution of visco-capillary ow in an inclined channel. Z. angew. Math. Phys. 52 (5) (2001) 749-769.

A. Wierschem, M. Scholle, N. Aksel, Comparison of different theoretical approaches to experiments on film flow down an inclined wavy channel. Exp. Fluids 33 (3) (2002) 429-442.

M. Scholle, N. Aksel, Thin film limit and film rupture of the visco-capillary gravity-driven channel flow. Z. angew. Math. Phys. 54 (3) (2003) 517-531.

A. Wierschem, M. Scholle, N. Aksel, Vortices in film flow over strongly undulated bottom profiles at low Reynolds numbers. Phys. Fluids 15 (2) (2003) 426-435.

M. Scholle, K.-H. Anthony, Line-shaped Objects and their Balances Related with Gauge Symmetries in Continuum Theories, Proc. R. Soc. Lond. A 460 (2004) 875-896.

M. Scholle, A. Wierschem, N. Aksel, Creeping films with vortices over strongly undulated bottoms. Acta Mech. 168 (2004) 167-193.

M. Scholle, Creeping Couette flow over an undulated plate. Arch. Appl. Mech. 73 (2004) 823-840.

M. Scholle, A. Rund, N. Aksel, Drag reduction and improvement of material transport in creeping films. Arch. Appl. Mech. 75 (2006) 93-112.

N. Aksel, C. Fetecau, M. Scholle, Starting solutions for some unsteady unidirectional flows of Oldroyd-B fluids. Z. angew. Math. Phys. 57 (5) (2006) 815-831.

M. Scholle, Comment on the article 'Variational approach to the volume viscosity of fluids' by Allan J. Zuckerwar and Robert L. Ash. Phys. Fluids 18 (10) (2006) 109101.

M. Scholle, Construction of Lagrangians in continuum theories, Proc. R. Soc. Lond. A 460 (2004) 3241-3260.

M. Scholle, Hydrodynamical modelling of lubricant friction between rough surfaces. Tribology International 40 (6) (2007) 1004-1011.

M. Scholle, N. Aksel, A general free surface rule for the creeping flow of fluid films over obstacles. Acta Mech. 191 (2007) 155-159.

M. Scholle, C. Heining, A. Haas, Comment on the article 'Variational principle for two-dimensional incompressible inviscid flow' by Ji-Huan He. Phys. Lett. A 372 (2008) 5857.

M. Scholle, A. Haas, N. Aksel, M. C. T. Wilson, H. M. Thompson, P. H. Gaskell, Competing geometric and inertial effects on local flow structure in thick gravity-driven fluid films. Phys. Fluids 20 (2008) 123101.

M. Scholle, A. Haas, N. Aksel, H. M. Thompson, R. W. Hewson, P. H. Gaskell, The effect of locally induced flow structure on global heat transfer for plane laminar shear flow. Int. J. Heat Fluid Flow 30 (2009) 175-185.

M. Scholle, A. Haas, N. Aksel, M. C. T. Wilson, H. M. Thompson, P. H. Gaskell, Eddy genesis and manipulation in plane laminar shear flow. Phys. Fluids 21 (2009) 073602.

M. Scholle, A. Haas, P. H. Gaskell, A first integral of Navier-Stokes equations and its applications. Proc. R. Soc. Lond. A 467 (2010) 127-143.

S. Veremieiev, H. M. Thompson, M. Scholle, Y. C. Lee, P. H. Gaskell, Electrified thin film flow at finite Reynolds number on planar substrates featuring topography. Int. J. Multiphase Flow 44 (2012) 48-69.

F. Marner, P. H. Gaskell, M. Scholle, On a potential-velocity formulation of Navier-Stokes equations. Physical Mesomechanics 17 (3) (2014) 124-130.

M. Scholle, F. Marner, A generalized Clebsch transformation leading to a first integral of Navier-Stokes equations. Physics Letters A 380 (40) (2016) 325-3261.

M. Scholle, F. Marner, A non-conventional discontinuous Lagrangian for viscous flow. R. Soc. open sci. 4: 160447 (2017).

F. Marner, P. H. Gaskell, M. Scholle, A complex-valued first integral of Navier-Stokes equations: Unsteady Couette flow in a corrugated channel system. Journal of Mathematical. Physics 58, 043102 (2017).


Internetpublikationen

M. Scholle, A. Wierschem, N. Aksel, Film flow over strongly undulated bottom profiles at low Reynolds numbers: Analytical results. Proc. Appl. Math. Mech. 2 (2003) 330-331.

A. Wierschem, M. Scholle, N. Aksel, Film flow over strongly undulated bottom profiles at low Reynolds numbers: Experimental study. Proc. Appl. Math. Mech. 2 (2003) 338-339.

M. Scholle, N. Aksel, Thin visco-capillary film flows in inclined rectangular channels. Proc. Appl. Math. Mech. 1 (1) (2002) 331-332.


A. Wierschem, M. Scholle, N. Aksel, Effect of Bottom Undulations on the Film Thickness in Gravity Driven Flow. Proc. Appl. Math. Mech. 1 (1) (2002) 302-303.

M. Scholle, N. Aksel, Shark skin effect in creeping films. arXiv, physics/0605232.

M. Scholle, N. Aksel, Influence of eddies on heat transfer in Couette flow. Proc. Appl. Math. Mech. 6 (2006) 591-592.

M. Scholle, N. Aksel, Influence of eddies on heat transfer in Couette flow over undulated substrates. Proc. Appl. Math. Mech. 7 (2007) 3020003-3020004.

M. Scholle, A. Haas, A first Integral of Navier-Stokes equations for two-dimensional flows. Proc. Appl. Math. Mech. 7 (2010) 483-484.

M. Scholle, Variational formulations in continuum mechanics. Proc. Appl. Math. Mech. 11 (2011) 693-694.

M. Scholle, Variational Formulations for Viscous Flow. Proc. Appl. Math. Mech. 14 (2014) 611-612.

F. Marner, M. Scholle, On a potential-velocity formulation of incompressible Navier-Stokes equations. Proc. Appl. Math. Mech. 14 (2014) 609–610.

F. Marner, M. Scholle, On the use of potential fields in fluid mechanics, Proc. Appl. Math. Mech. 15 (2015) 547–548.

M. Scholle, F. Marner, The Clebsch transformation and its capabilities towards fluid and solid mechanics, Proc. Appl. Math. Mech. 15 (2015) 483–484

M. Scholle, F. Marner, A non-conventional discontinuous Lagrangian for viscous flow, Proc. Appl. Math. Mech. 16 (2016) 575–576.

B. Awiszus, A. Birkert, M. Heckmann, M. Scholle, M. Sobhani, and H. Weiland, Leichtere Außenhautteile durch neuartigen Ansatz der Beulsteifigkeit, http://www.blechnet.com/leichtere-aussenhautteile-durch-neuartigen-ansatz-derbeulsteifigkeit-a-593621/ (2017).


Wissenschaftliche Arbeiten, Bücher und Buchbeiträge

M. Scholle, Hydrodynamik im Lagrangeformalismus: Untersuchungen zur Wärmeleitung in idealen Flüssigkeiten. Diplomarbeit, Universität-GH Paderborn (1994).

M. Scholle, An Extension of the Theory of Diffusion and Heat Conduction within Lagrange Formalism. Periodica Polytechnica Ser. Phys. and Nucl. Sci. 2 (1994) 49-59.

M. Scholle, K.-H. Anthony, Lagrange Formalism and Complex Fields in Hydro- and Thermodynamics. Zeszyty Nauk. Politech. Swietokrzysk. Mech. 59 (1995) 109-121.

M. Scholle, K.-H. Anthony, Symmetrien und Erhaltungssätze jenseits des Noethertheorems. Verhandl. DPG (VI) 31 (1996) 163.

M. Scholle, K.-H. Anthony, Der deformierbare Festkörper als verallgemeinerte Cosserat-Flüssigkeit und dessen Behandlung im Lagrangeformalismus. Verhandl. DPG (1997) 262-263.

M. Scholle, A balance theorem and its applications to a continuum theory of dislocations and plasticity. Zeszyty Nauk. Politech. Swietokrzysk. Mech. 66 (1998) 209-224.

M. Scholle, A non-conventional gauge approach towards continuum theories of dissipative processes. Continuum Models and Discrete Systems (CMDS9) - Proceedings of the 9th International Symposium, June 29-July 3, Istanbul, Turkey. Eds.: E. Inan, K. Z. Markov, World Scientific Publishing Co. (1998) 608-616.

M. Scholle, Das Hamiltonsche Prinzip in der Kontinuumstheorie nichtdissipativer und dissipativer Systeme. Ein neues Konzept zur Konstruktion von Lagrangedichten. Dissertation, Univ. Paderborn (1999). http://dl.dropbox.com/u/5252481/Arbeiten/Dissertation.pdf

M. Scholle, On the dual structure of physical theories. Similarity methods, Proc. 2nd Int. Workshop, Stuttgart Eds.: B. Kröplin, S. Rudolph, S. Brückner (1999) 91-110.

N. Aksel, M. Scholle, A. Wierschem, Gravity driven film flows in the presence of side walls, edges and wavy bottom profiles. CD-ROM Proceedings of the 20th International Congress of Theoretical and Applied Mechanics (ICTAM 2000), Chicago.

A. Wierschem, M. Scholle, N. Aksel, Creeping film flow down an inclined wavy plate. Proc. XIIIth International Congress on Rheology, 20.-25.08.2000, Cambridge, United Kindom, Vol. 2 Eds.: D.M. Binding, N.E. Hudson, J. Mewis, J.-M. Piau, C.J.S. Petrie, P. Townsend, M.H. Wagner, K. Walters (2000) 247.

M. Scholle, N. Aksel, Side Wall Effects in Thin Film Flow. Advances in Coating Processes – ECS 2001 Proceedings, Eds.: J.-M. Buchlin, J. Anthoine (2002) 127-132, Strasbourg.

A. Wierschem, M. Scholle, N. Aksel, Experimental study on laminar film flow down a wavy inclined channel. Advances in Coating Processes – ECS 2001 Proceedings, Eds.: J.-M. Buchlin, J. Anthoine (2002) 141-145, Strasbourg.

A. Wierschem, M. Scholle, N. Aksel, Untersuchungen der Wirbelbildung in schleichender Strömung über gewellten Bodenprofilen mit einem PIV. Lasermethoden in der Strömungsmesstechnik, 10. Fachtagung, Eds.: A. Leder, M. Brede, B. Ruck, D. Dopheide (2002) 42.1 - 42.6, Rostock.

M. Scholle, A. Wierschem, N. Aksel, Vortex creation in films over strongly undulated bottoms: Analytical and experimental studies. Advances in Liquid Film Coating Technology - Proceedings 5th European Coating Symposium, Eds.: P. Schweizer, O. Cohu (2004) 213-220.

M. Scholle, Einfluß der Randgeometrie auf die Strömung in fluiden Schichten. Habilitationsschrift, Universität Bayreuth (2004). http://dl.dropbox.com/u/5252481/Arbeiten/Habilitationsschrift.pdf

M. Scholle, N. Aksel, Is the 'shark-skin effect' in films over undulated substrates possible? Proceedings 6th European Coating Symposium, Eds.: H. Benkreira, R. Patel (2005).

M. Scholle, N. Aksel, M. C. T. Wilson, H. M. Thompson, P. H. Gaskell, A general free surface rule for Stokes flow of fluid films over obstacles. CD-ROM Proceedings of the 22th International Congress of Theoretical and Applied Mechanics (ICTAM 2008), Adelaide., ISBN 978-0-9805142-1-6.

M. Scholle, First Integrals of Navier-Stokes Equations - Theory and Applications. Proceedings of the Hefei-Heilbronn Workshop on Research and Education in Mechatronics, Heilbronn, ISBN 978-3-00-031548-0.

M. Scholle, P. H. Gaskell, A. Haas, A first Integral of Navier-Stokes equations: thin film flow applications. CD-ROM Proceedings of the 23th International Congress of Theoretical and Applied Mechanics (ICTAM 2012), Beijing.

M. Scholle, A Variational Approach for Viscous Flow. Proceedings of the Heilbronn Workshop on Research in Mechatronics, Heilbronn, ISBN 978-3-00-044567-5 (2014).

M. Heckmann, A. R. Birkert, M. Scholle, M. Sobhani, B. Awiszus, Innovative approach for increased denting stiffness in car body outer skin parts, in Automotive Circle International: Doors and closures in car body engineering 2015, (Bad Nau- heim), 2015.

A. Birkert, M. Heckmann, and M. Scholle, Leichtere Außenhautteile durch neuartigen Ansatz der Beulsteifigkeit, blechnet, no. 2,  (2017) 54 – 55.

Mitgliedschaften

  • Gesellschaft für Angewandte Mathematik und Mechanik (GAMM)
  • Deutsche Physikalische Gesellschaft (DPG)
  • Deutscher Hochschulverband (DHV)