Size Specific Trapping at a Convergent Stagnation Point

Conformation and trapping rate of DNA at a convergent stagnation point.

We use a lattice-Boltzmann based Brownian dynamics simulation to investigate the elongation of DNA at a convergent stagnation point trapped by a uniform attractive potential. The trapping rate of the DNA is not sensitive to the potential and, consistent with a mean field theory, scales as the Peclet number, Pe(1/3) . Surprisingly, we find that the coiled state is favored over the stretched stat...

Oscillatory Flow Near a Stagnation Point

The classical Hiemenz solution describes incompressible two-dimensional stagnation point flow at a solid wall. We consider an unsteady version of this problem, examining particularly the response close to the wall when the solution at infinity is modulated in time by a periodic factor of specified amplitude and frequency. While this problem has already been tackled in the literature for general...

Surface Reaction Near a Stagnation Point

To measure rate constants while performing biomolecular interaction analysis (BIA), scientists often use resonant mirror devices such as the IAsysTM. A full mathematical model of the IAsysTM consists of a convection–diffusion equation in a closed well with a reacting surface at the bottom. The flow in the well is complex, but near the sensor, the qualitative nature of the reaction can be analyz...

Mathematical Model of Stagnation Point Flames

MHD Three-Dimensional Stagnation-Point Flow and Heat Transfer of a Nanofluid over a Stretching Sheet

In this study, the three-dimensional magnetohydrodynamic (MHD) boundary layer of stagnation-point flow in a nanofluid was investigated. The Navier–Stokes equations were reduced to a set of nonlinear ordinary differential equations using a similarity transform. The similarity equations were solved for three types of nanoparticles: copper, alumina and titania with water as the base fluid, to inve...