By using Hamilton's principle, four non-linear governing equations and twelve non-linear boundary conditions are derived.
The coupled non-linear governing equations were solved using the spectral relaxation method.
Based on the dimensionless numbers and non-dimensional governing equations, similarity laws are proposed.
The derived coupled non-linear governing partial differential equations were numerically solved by the orthogonal collocation technique.
The temperature distribution has been determined by solving the highly non-linear governing equations using a semi-analytical transformation technique called Differential Transform Method.
A variational approach is adopted to derive the linear and non-linear governing equations with a prescribed FGM distribution through the depth of the core.
The temperature distribution is obtained by solving the highly non-linear governing equations by employing three different analytical techniques, namely Variational Iteration Method, Adomian Decomposition Method and Differential Transform Method, and validated by that obtained from the Finite Difference Scheme.
Different from the previous literatures, the coupled non-linear governing equations for the fluid flow, mass transfer and two-dimensional thermal conduction were developed base on some reasonable assumptions.
In addition to advice issued by the U.S. federal government and states, not-for-profit and other non-govern-mental organizations also provide information on mercury in fish directly to consumers.
He is not one of those critics motivated by anger, nor does he harp on purity: rather, a sweet reasonableness and refreshing non-insistence govern him.
The Galerkin method is used to transform the governing non-linear partial differential equations to ordinary non-linear differential equations.
