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Search for "boundary condition" in Full Text gives 55 result(s) in Beilstein Journal of Nanotechnology.

Modeling and optimization of atomic layer deposition processes on vertically aligned carbon nanotubes

  • Nuri Yazdani,
  • Vipin Chawla,
  • Eve Edwards,
  • Vanessa Wood,
  • Hyung Gyu Park and
  • Ivo Utke

Beilstein J. Nanotechnol. 2014, 5, 234–244, doi:10.3762/bjnano.5.25

Graphical Abstract
  • that the CNT array is devoid of any precursor molecules, . The system has a closed boundary at x = L (the bottom of the VACNT array), which is implemented by a first order Neumann boundary condition, dn/dx = 0. At x = 0 (the top of the VACNT array) we apply , where nchamber is the concentration of the
  • precursor molecules in the ALD chamber. For the purge portion of the ALD cycle, we take as the initial condition the final state of the system at the end of the precursor pulse portion. The boundary condition at the top of the CNT array (x = 0) is also changed to reflect that there are no precursor
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Published 05 Mar 2014

High-resolution nanomechanical analysis of suspended electrospun silk fibers with the torsional harmonic atomic force microscope

  • Mark Cronin-Golomb and
  • Ozgur Sahin

Beilstein J. Nanotechnol. 2013, 4, 243–248, doi:10.3762/bjnano.4.25

Graphical Abstract
  • the suspended fiber structure using Euler–Bernoulli analysis [37]: Here the constant β2 is equal to 22.373 for the clamped-end boundary condition. E and ρ are the elastic modulus and mass density, and D and L are the diameter and length of the silk fiber. Using E = 10 GPa, ρ = 1.3 g/cm3, D = 2R = 0.52
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Published 05 Apr 2013

Spring constant of a tuning-fork sensor for dynamic force microscopy

  • Dennis van Vörden,
  • Manfred Lange,
  • Merlin Schmuck,
  • Nico Schmidt and
  • Rolf Möller

Beilstein J. Nanotechnol. 2012, 3, 809–816, doi:10.3762/bjnano.3.90

Graphical Abstract
  • parameters can be seen in Table 3. As a boundary condition, the interface between the support and the glue is fixed in all directions. The deformation of the TF is calculated for a force applied in the z-direction at the end of the free prong. In an iterative procedure, a closer mesh is generated in areas of
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Published 29 Nov 2012

Focused electron beam induced deposition: A perspective

  • Michael Huth,
  • Fabrizio Porrati,
  • Christian Schwalb,
  • Marcel Winhold,
  • Roland Sachser,
  • Maja Dukic,
  • Jonathan Adams and
  • Georg Fantner

Beilstein J. Nanotechnol. 2012, 3, 597–619, doi:10.3762/bjnano.3.70

Graphical Abstract
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Published 29 Aug 2012

Biomimetics inspired surfaces for drag reduction and oleophobicity/philicity

  • Bharat Bhushan

Beilstein J. Nanotechnol. 2011, 2, 66–84, doi:10.3762/bjnano.2.9

Graphical Abstract
  • no-slip boundary condition (Figure 2, left) [25][26]. However, for hydrophobic surfaces, fluid film exhibits a phenomenon known as slip, which means that the fluid velocity near the solid surface is not equal to the velocity of the solid surface (Figure 2, right) [27][28][29][30][31][32][33]. The
  •  8. For calculations, it was assumed that there is a no-slip boundary condition on flat epoxy resin as verified from the experiments [40]. Figure 7 shows the bar chart showing the slip length in the channel with various surfaces using water flow in laminar flow (0 < Re < 300). The average values of
  • of the friction factor for turbulent flow in a rectangular channel, Jones [56] developed an improved equivalent diameter, De = 64DH/k, thus the friction factor for turbulent flow can be modified as Next, we present an analysis to calculate slip length in laminar flow. Using the Navier slip boundary
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Published 01 Feb 2011
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