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Augmenting the porous boundary condition with a shaping factor, we define a generalized geometry optimization formulation and derive the corresponding sensitivity analysis for the single relaxation LBM for both topology and shape optimization applications.
The value of α is set to 0.365 × 10-9 and the width of the pulses are chosen to be 2.4α = 0.876 × 10-9 = 0.876 ns (the detailed method to choose pulse width for a shaping factor α can be found from Benedetto and Giancola [13]).
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A shape factor can be used to achieve this.
This paper sets out to experimentally determine a shape factor for lactose.
A gamma distribution with a Shape factor of 13.1621 and a Scale factor of 7.5266 were calculated.
The role of section shape in lightweight design for bending applications is illustrated through the concept of a shape factor.
Compactness is a shape factor measuring how closely and firmly the polygonal units in a region are packed together.
A shape factor that allows correlating the static strength of two joints with different geometries is proposed.
The parameter α is a shape factor: it accounts for the shape difference between spherical and non-spherical NCs [18, 23, 26, 27].
A gamma distribution with a Shape factor of 0.8377 and a Scale factor of 320.0542 was fitted to the distribution (see Fig. 6).
Analytically, the Hamilton-Crosser equation [23] predicts the effective thermal conductivity of a heterogeneous mixtures by incorporating a shape factor, i.e., the higher the shape factor, the higher the predicted thermal conductivity.
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