An equation of state (EOS) CH4-N2 fluid mixtures in terms Helmholtz free energy has been developed by using four mixing parameters, which can reproduce the pressure-volume-temperature-composition (PVTx) and vapor-liquid equilibrium (VLE) properties mixtures. The average absolute deviation all PVTx data available up to 673.15 K 1380 bar from this EOS is 0.38%. Combining CH4-CO2 CO2-N2 our previo...

The Helmholtz-Hodge decomposition (HHD) is one of the fundamental theorems of fluids describing the decomposition of a flow field into its divergence-free, curl-free, and harmonic components. Solving for the HHD is intimately connected to the choice of boundary conditions which determine the uniqueness and orthogonality of the decomposition. This article points out that one of the boundary cond...

Quantification of cardiac function is important for the assessment of abnormalities and response to therapy. We present a method to reconstruct dense cardiac motion from sparse features in tagging MRI, decomposed into solenoidal and irrotational parts using multi-scale Helmholtz decomposition. Reconstruction is based on energy minimization using covariant derivatives exploiting prior knowledge ...

In this work, we study the thermodynamic properties of a photon gas in heat bath within context higher-derivative electrodynamics. Specifically, analyze Podolsky’s theory and its extension involving Lorentz symmetry violation recently proposed literature. First, use concept number available states system order to construct partition function. Next, calculate main functions: Helmholtz free energ...

This work discusses the introduction of concentration dependency relative permittivity in context activity coefficient models at different stages derivation models. We evaluate an experimental correlation and Michelsen–Mollerup–Breil model for order to assess impact using these both Debye–Hückel Born equations. Our results show that effects introducing levels are significant quantitative. Using...

We illustrate how the Jarzynski equality (JE), which is the progenitor of non-equilibrium methods aimed at constructing free energy landscapes for molecular-sized fluctuating systems subjected to steered transformations, can be applied to derive equations of state for bulk systems. The key-step consists of physically framing the computational strategy of "total energy morphing", recently presen...

Fractional differ-integral operators are used to obtain the equation of state for a substance that can be seen as fractal. Two equations have been obtained, first which depends on two parameters characterize fractal dimension material and thermal energy particles, respectively. The second involves three parameters, expressions Helmholtz free bulk modulus also obtained this equation. model prese...