Equations are developed for the potential due to a source and sink, or dipole, inside a circle of finite resistivity surrounded by a two-dimensional infinite medium of different resistivity. When the resistivity of the external medium is allowed to increase to infinity, the resulting equations give identical results to those presented by Bayley for the dipole potential in an insulating circle. ...

The finite-amplitude instability of the buoyancy-driven boundary layer is considered on a vertical plate immersed in thermally stratified ambient medium, where wall and surrounding fluid have different temperature gradients. Although linear stability this configuration has been investigated, solution arising from critical studied only for specific parameter values. We extend by using amplitude ...

Water movement in an unsaturated porous medium (soil) can be expressed by Richards equation with the mass conservation law and Darcy-Buckingham's law. This three different forms as pressure head-based, moisture content based mixed from. In this study, we solve one dimensional Equation form numerically using finite difference method various time-stepping schemes: Forward Euler, Backward Crank-Ni...

Heat assisted magnetic recording HAMR is a potential solution to extend the limits of conventional magnetic recording. In HAMR, the heating of the recording medium is achieved with a near-field optical transducer. Although the literature suggests novel transducers, there is little consideration of the optical and thermal aspects of the magnetic medium. In this letter we suggest a recording medi...

Radiative heat transfer in participating medium has been carried out using the finite volume method. The radiative transfer equations are formulated for absorbing and anisotropically scattering and emitting medium. The solution strategy is discussed and the conditions for computational stability are conferred. The equations have been solved for transient radiative medium and transient radiation...

We present a generalization of the finite volume evolution Galerkin scheme [17, 18] for hyperbolic systems with spatially varying flux functions. Our goal is to develop a genuinely multi-dimensional numerical scheme for wave propagation problems in a heterogeneous media. We illustrate our methodology for acoustic waves in a heterogeneous medium but the results can be generalized to more complex...

We show that Regge phenomenology is consistent with the only universal scaling law for hadron masses, M * /M = (α ′ /α ′ *) 1/2 , where asterisk indicates a finite-temperature quantity. Phenomenological models further suggest the following expression of the above scaling in terms of the temperature-dependent gluon conden-sate: M * /M = (α ′ /α ′ *) 1/2 = (G a µν * /G aµν) 1/4. It is known that ...

The linear sigma model at finite baryonic density with a massive vector field is investigated considering that all the bosonic fields develop non zero expected classical values, eventually associated with condensates and corresponding to dynamical symmetry breakings which might occur in the QCD phase diagram. A modified equation for the classical vector field is proposed with its respective sol...