Magnetic field effect on local entropy generation due to steady two-dimensional laminar forced convection flow past a horizontal plate was numerically investigated. This study was focused on the entropy generation characteristics and its dependency on various dimensionless parameters. The effect of various dimensionless parameters, such as Hartmann number (Ha), Eckert number (Ec), Prandtl numbe...

A modeling method for the modal analysis of cantilever plates undergoing accelerated in-plane motion is presented in this paper. Von Karman strain measures are employed to derive the in-plane and the lateral equations of motion. In-plane strain measures of the accelerated plates are obtained from the in-plane equations and substituted into the lateral equations to obtain the linear equations fo...

We derive here various equivalent mathematical formulations of the water waves problem (and some extensions to the two-fluids problem). We then propose a dimensionless version of these equations that is well adapted to the qualitative description of the solutions. The way we nondimensionalize the water waves equations relies on a rough analysis of their linearization around the rest state and s...

The paper presents a technique for generating concise neural network models of physical systems. The neural network models are generated through a two-stage process. The first stage uses information embedded in the dimensions or units in which the data is represented. Dimensional analysis techniques are used initially to make this information explicit, and a limited search in the neural network...

This paper presents scaling laws for the integral capacitance of electric double layer capacitors (EDLCs) supported by rigorous analysis and experimental data for porous carbon-based electrodes. First, dimensionless similarity parameters were identified based on dimensional analysis of the modified Poisson–Boltzmann model for binary and symmetric electrolytes. Then, a correlation for the equili...

The stoichiometric network analysis (SNA) introduced by B. L. Clarke is applied to a simplified model of the complex oscillating Bray-Liebhafsky reaction under batch conditions, which was not examined by this method earlier. This powerful method for the analysis of steady-states stability is also used to transform the classical differential equations into dimensionless equations. This transform...

in this paper, we calculate theoretically the relaxation rates of hot, thermal and antinodal quasiparticles by using fermi’s golden rule. the transition probabilities at low temperatures express in terms of bogoliubov coefficients, singlet and triplet scattering amplitudes and dimensionless landau parameters. the values of landau parameters may be determined by comparison with the experimental ...