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A modified equation for calculating Nq is also proposed.
The present study introduces an accurate and modified equation for the stress concentration factor of a uniaxially loaded isotropic plate with a centered countersunk hole.
Further, a modified equation for the exergy efficiency of a PV/T air collector is derived in terms of design and climatic parameters.
It is important to note that x in the heat transfer equation corresponds with L in the above modified equation for the developed system.
A modified equation for the Gapon selectivity coefficient was found to fit ion-exchange isotherms of kaolinite and montmorillonite for divalent/monovalent cation exchange.
In the model we consider two new elements: a modified equation for the attached fines, and a more general mathematical expression for the maximum retention function.
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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.
For accurately predicting the unidirectional propagation of the shallow water wave, the modified equation analysis for eliminating several leading discretization error terms and the Fourier analysis for minimizing a particular type of wave-like error are employed.
Using the matrix perturbation theory and the equivalent modified equation approach for finite difference methods, we propose a class of minimization problems to optimize the free-parameters in the MRT-LBM.
The modified equation accounts for approximately 10% current that is due largely to the channels facing the other side and are not blocked by toxin.
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.
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