Sentence examples for model analytical solutions from inspiring English sources

With the local thermal non-equilibrium (LTNE) model, analytical solutions for velocity and solid/fluid temperatures are obtained.

Based on a non-linear stability model, analytical solutions are derived for simply supported beam-column elements with bi-symmetric I sections under combined bending and axial forces.

Based on a molecular mechanics model, analytical solutions for the critical buckling strain of single-walled achiral carbon nanotubes under axial compression are obtained.

While for the linear model analytical solutions and stability conditions are available, it is not generally the case for non-linear system except for some special cases.

Based on the model, analytical solutions of axial membrane force of the nanotube and the nanotube matrix interfacial shear stress are obtained.

The results of model analytical solutions can serve engineers for design proposals or check analysis to determine the required thermal capacity of kang plate at the early design stage.

Based on a one-dimensional model, analytical solution is performed to deliver the amount of heat transfer density.

The three approaches, i.e. the 1D computational model, analytical solution, and 3D CFD simulations, yielded nearly identical results for the thermal behaviours.

The parameter τ is tortuosity factor which is obtained from fitting a 1-D contaminant transport model (analytical solution) to the conservative tracer breakthrough curve data obtained from the column experiment.

The performance of the developed EFG-based code is evaluated by comparing the results of the model with analytical solutions.

A new elastic nonlocal stress model and analytical solutions are developed for torsional dynamic behaviors of circular nanorods/nanotubes.