FIG 1 - uploaded by Peter Schmid
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Source publication
Mixing is an omnipresent process in a wide-range of industrial applications, which supports scientific efforts to devise techniques for optimising mixing processes under time and energy constraints. In this endeavor, we present a computational framework based on nonlinear direct-adjoint looping for the enhancement of mixing efficiency in a binary f...
Contexts in source publication
Context 1
... accomplish our mixing with the help of embedded stirrers; this setup defines our attempt as a fluidsolid interaction problem. A representative geometry of our setup is displayed in figure 1. We will use a penalisation method [Arquis & Caltagirone, 1984] to reformulate the problem. ...
Context 2
... equation (3.15) does include a minimisation, the derivative term in equation (3.17) is independent of this minimum and does not affect the subsequent derivation. Given the form of the parameterisation (equation (3.10)), the derivative is in essence isolating the wavenumber within the minimum distance function, i.e., ...
Context 3
... the unoptimised case (see the left column of figure 11), we note that, despite the close proximity of the central stirrers, little to no interaction is observed between the generated vortices. After only four iterations (right column), an entirely different picture arises. ...
Context 4
... the upper off-set stirrer has been altered, so that two of its cusps have been extended to reach the mixed fluid. This can be observed at t = 8 in figure 11, where minute filaments of fluid are transported into the upper half of the vessel as a consequence. ...
Context 5
... accomplish our mixing with the help of embedded stirrers; this setup defines our attempt as a fluidsolid interaction problem. A representative geometry of our setup is displayed in figure 1. We will use a penalisation method [Arquis & Caltagirone, 1984] to reformulate the problem. ...
Context 6
... equation (3.15) does include a minimisation, the derivative term in equation (3.17) is independent of this minimum and does not affect the subsequent derivation. Given the form of the parameterisation (equation (3.10)), the derivative is in essence isolating the wavenumber within the minimum distance function, i.e., ...
Context 7
... the unoptimised case (see the left column of figure 11), we note that, despite the close proximity of the central stirrers, little to no interaction is observed between the generated vortices. After only four iterations (right column), an entirely different picture arises. ...
