Core/shell microdroplets formation with uniform size is investigated numerically in the co-flow microchannel. The interface and volume fraction contour between three immiscible fluids are captured using a ternary phase-field model. Previous research has
When nanoparticles are dispersed and stabilized in a base-fluid, the resulting nanofluid undergoes considerable changes in its thermophysical properties, which can have a substantial influence on the performance of nanofluid-flow systems. With such necessity and importance, developing a set of mathematical...
Equation (3) is thus re-written as:(4)C=C0e−αφUx By defining the deposition coefficient λ (m−1) (Yao et al., 1971), λ=αφ/U, one can calculate fine particle concentration in the solution along the main flow (x) direction, which is consistent with the classical colloid ...
Colloid Polym Sci 101:248–271 Google Scholar Linder C, Tkachuk M, Miehe C (2011) A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity. J Mech Phys Solids 59:2134–2156 Article Google Scholar Miehe C, Göktepe S, Lu...
In order to determine the soil–water retention (SWR) behavior of a particulate medium, the invading phase pressure in the inter-particle level is cor
The rotational degrees of freedom are propagated by integrating the following equation of motion for the α-component of the angular velocity ωi of monomer i [22]:(2)Iααωiα(t)=−∂U∂ωiα−ζiαωiα(t)+2kBTζiαRiα(t),where I is the diagonalised inertia tensor, ...
The resulting nonlinear differential equation is integrated by a new homotopy method. It is found that the force-displacement curve is decidely nonlinear and depends heavily on the free shape of the spring. The maximum moment is also obtained....
adsorption density on the S-ZnF particle surface (mg/m2); 𝐶𝐿CL is the concentration of dispersant PD0x in suspensions; 𝐾𝐿KL is the equilibrium constant of Langmuir adsorption equation; 𝐾𝑓Kf and 1/𝑛1/n are the equilibrium constants of the Freundich adsorption equation. ...
The number of hidden neurons can be estimated by different rules of thumb; the rule we adopted is given by the following equation, in which 𝑛ℎnh is the number of hidden neurons, 𝑁𝑡𝑟Ntr is the number of training samples, and 𝑁𝑖𝑛Nin and 𝑁𝑜𝑢𝑡Nout are the ...
osmotic pressure rather than the colloid osmotic pressure within plasma limits the water fluxes and thus filtration. However, their proposal ignores the effect of Na+and Cl−fluxes across the peripheral capillary walls that reduce the local solute concentration differences. In its present state this...