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Series solution of unsteady free convection flow with mass transfer along an accelerated vertical porous plate with suction

100%
Zaman H., Ayub M.
Open Physics
|
2010
|
vol. 8
|
issue 6
931-939
EN
The problem of unsteady free convection flow is considered for the series solution (analytic solution). The flow is induced by an infinite vertical porous plate which is accelerated in its own plane. The series solution expressions for velocity field, temperature field and concentration distribution are presented. The influence of important parameters is seen on the velocity, temperature, concentration, skin friction coefficient and temperature gradient with the help of graphs and tables. Convergence is also properly checked for different values of the important parametes for velocity field, temperature and concentration with the help of ħ-curves.
2
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Electromagnetic plane-wave scattering from a sectorial groove in a perfectly conducting plane

100%
Tsaur D.-H., Chang K.-H.
Open Physics
|
2009
|
vol. 7
|
issue 1
160-167
EN
Scattering characteristics of plane waves by a sectorial groove in a perfectly conducting plane are investigated. Both the transverse magnetic (TM) and transverse electric (TE) polarizations of the incident wave are considered. Judicious use of the region-matching technique provides a rigorous series solution to the problem. The analyzed region is separated into two sub-regions by choosing a semi-circular auxiliary boundary. Thefield in each sub-region is expanded as a summationof proper wave functions with unknown coefficients. Enforcing the matching of conditions on the auxiliary boundary and of boundary condition on the circular-arc surface of the groove leads to a linear set of equations and the unknown coefficients are then determined. Numerical results demonstrate the influence of central angles of the sectorial groove on echo width, far-field pattern and near-field distribution. The presented geometry is easily applicable to the design and fabrication of a grating structure for optical switches and tunable filters.
3
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Travelling wave solutions: A new approach to the analysis of nonlinear physical phenomena

88%
Sayevand K., Baleanu D., Fardi M.
Open Physics
|
2014
|
vol. 12
|
issue 7
480-489
EN
In this manuscript, a reliable scheme based on a general functional transformation is applied to construct the exact travelling wave solution for nonlinear differential equations. Our methodology is investigated by means of the modified homotopy analysis method which contains two convergence-control parameters. The obtained results reveal that the proposed approach is a very effective. Several illustrative examples are investigated in detail.
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