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Moreover, the modified equation of short circuit current density was developed and effectively used to explain the efficiency enhancement.
Through a modified equation of RKEOS, they proposed an algorithm that accounted the composition of displacing gas in each different thermodynamic phase.
Then, this modified equation of state is used to calculate the minimum miscibility pressure (MMP) for displacing two oil mixtures using two gas mixtures.
In this paper we will show rigorously their full equivalence via the construction of modified equation of two-level finite difference schemes around any wave number only in terms of the amplification factor used in the von Neumann analysis.
The model of non-Newtonian flow in the form of the modified equation of the non-linear viscoplastic oil flow to the well is recommended as an intellectual application for the well-known hydrodynamic simulations.
Going beyond the arguments of Murphy et al. (2013), we can reinterpret equation (39) as being the Rankine-Hugoniot condition for a fluid with a modified equation of state, which has two separate internal degrees of freedom: thermodynamical and turbulent.
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One may naturally ask how these modified equations of motion will modify the dynamics accordingly and result in a nonconserved energy.
Additionally, an extended application is developed to determine the modified equations of finite difference schemes for partial differential equations, with one-dimensional examples of the wave equation and the heat equation using explicit and implicit schemes.
Based on the probability integral method, this paper obtained a modified equation for calculating the amount of horizontal movement of an overlying stratum during longwall mining, and in this equation, the influence of the distance between the overlying stratum and the coal seam on the subsidence coefficient of the stratum was taken into account.
Field-aligned profiles then depend on three parameters, which are determined as a function of latitude by fitting the modified equation to satellite data at heights of 400 10,000 km.
Further, a modified equation for the exergy efficiency of a PV/T air collector is derived in terms of design and climatic parameters.
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