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However, in a polymeric liquid, part of the mechanical work is also stored by the material as elastic energy, and we account for this energy by including the nonequilibrium nature of the internal energy function.
The internal energy function depends on a logarithmic measure of material strain, entropy, and internal state variables accounting for defect accumulation, for example effects of micro-cracks on the tangent stiffness of the solid.
At the end, we choose to use a value of −15.0 to achieve high model quality without outweighing Rosetta's internal energy function completely.
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He et al. [21] proposed a new Lattice Boltzmann model which introduced an internal energy distribution function to simulate the temperature field, and the result has a good agreement with the benchmark solution.
In this context, nonequilibrium means that velocity and internal energy distribution functions are not in equilibrium forms due to a low number of intermolecular collisions within a fluid element.
The term "fundamental equation" is often used in the literature to refer to empirical descriptions of one of four fundamental relations: internal energy as a function of volume and entropy, enthalpy as a function of pressure and entropy, Gibbs energy as a function of pressure and temperature, and Helmholtz energy as a function of density and temperature.
The new model introduces an internal energy density distribution function to simulate the temperature field.
Equation 2 demonstrates that the unit cell volume is a probe for changes in internal energy as a function of temperature.
He et al. [27] proposed a novel lattice Boltzmann thermal model to study thermo-hydrodynamics in incompressible limit by introducing an internal energy density distribution function to simulate the temperature field.
Georgakis, On the use of extensive variables in process dynamics and control, Chemical Engineering Science 41 6) (1986) 1471 1484] for less restrictive conditions on the system dynamics and thermodynamics, and invariants sets for the stable equilibrium points of the CSTR by considering an internal energy based Lyapunov function.
Because the internal united-residue energy function is often unable to discriminate near-native models, the models must be ranked via a post-process.
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