We study the application of the exp-function method to solve a relativistic Toda lattice system.To reduce the original equation into a convenient form,a suitable transformation is used so that the so-called exp-functi...We study the application of the exp-function method to solve a relativistic Toda lattice system.To reduce the original equation into a convenient form,a suitable transformation is used so that the so-called exp-function method can be applied.By using the homogeneous balance principle and some further analysis,we succeed in calculating some exact analytic solutions.展开更多
In this paper,we study the flow of a micropolar fluid in a porous channel with expanding or contracting walls.First,we use spectral collocation method on the governing equations to obtain an initial approximation for ...In this paper,we study the flow of a micropolar fluid in a porous channel with expanding or contracting walls.First,we use spectral collocation method on the governing equations to obtain an initial approximation for the solution of equations.Then using the obtained initial approximation,we apply the homotopy analysis method to obtain a recursive fomula for the solution.展开更多
An annular fin of hyperbolic profile with temperature dependent thermal conductivity is studied by pseudospectral method.Graphs illustrating the effect of fin dimensions,surface convection characteristics and the ther...An annular fin of hyperbolic profile with temperature dependent thermal conductivity is studied by pseudospectral method.Graphs illustrating the effect of fin dimensions,surface convection characteristics and the thermal conductivity parameter on the thermal performance of the fin are presented and discussed.A comparison of the obtained numerical results is made with the closed form analytical solution available in the literature for the case of constant themal conductivity.This comparison confirms the high accuracy of numerical results.When the thermal conductivity increases with temperature,the effect is to elevate both the temperature distribution in the fin and the fin efficiency.The converse is true when the themal conductivity decreases with temperature.展开更多
文摘We study the application of the exp-function method to solve a relativistic Toda lattice system.To reduce the original equation into a convenient form,a suitable transformation is used so that the so-called exp-function method can be applied.By using the homogeneous balance principle and some further analysis,we succeed in calculating some exact analytic solutions.
文摘In this paper,we study the flow of a micropolar fluid in a porous channel with expanding or contracting walls.First,we use spectral collocation method on the governing equations to obtain an initial approximation for the solution of equations.Then using the obtained initial approximation,we apply the homotopy analysis method to obtain a recursive fomula for the solution.
文摘An annular fin of hyperbolic profile with temperature dependent thermal conductivity is studied by pseudospectral method.Graphs illustrating the effect of fin dimensions,surface convection characteristics and the thermal conductivity parameter on the thermal performance of the fin are presented and discussed.A comparison of the obtained numerical results is made with the closed form analytical solution available in the literature for the case of constant themal conductivity.This comparison confirms the high accuracy of numerical results.When the thermal conductivity increases with temperature,the effect is to elevate both the temperature distribution in the fin and the fin efficiency.The converse is true when the themal conductivity decreases with temperature.
