Sentence examples for using a similarity solution from inspiring English sources

The second stage of oil spreading on water, in which gravity forces promote spreading against the resisting viscous effects, is investigated using a similarity solution in combination with the integral boundary layer approach in the case where oil is discharged at a constant rate.

To obtain the solutions, the governing partial differential equations are first transformed into ordinary differential equations using a similarity transformation.

SOM content was mapped using a similarity based mapping method.

Similarity between the target reactor system and one or several benchmarks is quantified using a similarity index.

A solution of (1.1 - 1.3 1.1 - 1.3d a sisilarity solution and called used to express the solutions of the 3D system.

In addition, in deriving the extension, certain omissions in the original work are highlighted: an oversight in the Butler Volmer law used in the original work is corrected, and the systematic use of similarity-like variables in electrochemical problems that do not have a similarity solution along the entire length of the diffusion layer adjacent to an electrode is demonstrated.

In order to conquers a similarity solution to eqs.

The fluctuating velocity field is an implementation of a similarity solution presented previously.

A similarity solution is developed, and the spreading laws and the velocity and oil thickness profiles are determined, providing a theoretical basis which can be used to test different leading-edge boundary conditions proposed in the literature.

The numerical scheme for the downstream solution has the advantage of utilising a similarity solution as its starting point.

The solutions were validated by using a local similarity, non-similarity method.