Robert Paul Salazar Romero

Universidad ECCI · Electrical Engineering Departament

A vector potential formulation is shown in this article to compute the electric field of planar surface electrodes. The electric field is derived from from the solution of the Laplace’s equation in the free-charge space. Neumann-boundary conditions must be set on the region between planar metallic sheets as the separation goes to zero. It is shown...

Comentario Bibliográfico sobre el libro Métodos Matemáticos Gabriel Tellez-Acosta Universidad de las Andes, Bogotá Colombia 2022

In this work, we study the gapped Surface Electrode (SE), a planar system composed of two-conductor flat regions at different potentials with a gap G between both sheets. The computation of the electric field and the surface charge density requires solving Laplace’s equation subjected to Dirichlet conditions (on the electrodes) and Neumann Boundary Co...

Context: Wind tunnels are essential devices in the study of flow properties through objects and scaled prototypes. This work presents a numerical study to characterize an existing wind tunnel, proposing modifications with the aim to improve the quality of the flow in the test chamber. Method: Experimental measurements of the inlet velocity and pre...

A method is derived to obtain an expansion formula for the magnetic field B(r) generated by a closed planar wire carrying a steady electric current. The parametric equation of the loop is R(φ) = R + Hf (φ), with R the radius of the circle, H ∈ [0, R) the radial deformation amplitude, and f (φ) ∈ [−1, 1] a periodic function. The method is based on t...

A method is derived to obtain an expansion formula for the magnetic field $\boldsymbol{B}(\boldsymbol{r})$ generated by a closed planar wire carrying a steady electric current. The parametric equation of the loop is $\mathcal{R}(\phi)=R+Hf(\phi)$, with $R$ the radius of the circle, $H \in [0,R)$ the radial deformation amplitude, and $f(\phi)\in[-1,...

Electric vector potential $\Theta(\boldsymbol{r})$ is a legitimate but rarely used tool to calculate the steady electric field in free-charge regions. Commonly, it is preferred to employ the scalar electric potential $\Phi(\boldsymbol{r})$ rather than $\Theta(\boldsymbol{r})$ in most of the electrostatic problems. However, the electric vector poten...

The electric vector potential (r) is a legitimate-but rarely used-tool to calculate the steady electric field in charge-free regions. It is commonly preferred to employ the scalar electric potential (r) rather than (r) in most of the electrostatic problems. However, the electric vector potential formulation can be a viable approach to study certain...

We present an analytic strategy to find the electric field generated by surface electrode SE with angular-dependent potential. This system is a planar region \({\mathscr {A}}\) kept at a fixed but non-uniform electric potential \(V(\phi )\) with an arbitrary angular dependence. We show that the generated electric field is due to the contribution of...

We present an analytic strategy to find the electric field generated by surface electrode SE with angular dependent potential. This system is a planar region $\mathcal{A}$ kept at a fixed but non-uniform electric potential $V(\phi)$ with an arbitrary angular dependence. We show that the generated electric field is due to the contribution of two fie...

This paper presents a techno-economic simulation of a hybrid renewable energy system composed by a wind energy and a solar photo-voltaic system, in junction with a battery storage bank, using for that the System Advisor Model. Its interesting evaluate economic features associated to this kind of power generation projects, for instance, the levelize...

The potential of sawmill wastes as a raw material in pyrolysis process is presented in this study. Non-isothermal thermogravimetric analysis (TGA and DTG) and isoconversional methods were employed to determine triplet kinetic (activation energy, reaction model and pre-exponential factor). Through TGA and DTG, the conversion degree is described as a...

The melting of crystal phases in two-dimensional systems has been the subject of a large amount of theoretical, numerical and experimental works. Several mechanisms to describe the melting in two dimensions were proposed e.g. the KTHNY theory and the melting induced by the formation of grains boundaries. There is strong evidence that the melting in...

We present an analytical strategy to solve the electric field generated by a planar region which is kept with a fixed but non-uniform electric potential. The approach can be used in certain situations where the electric potential on the space requires to solve the Laplace equation with non-uniform Dirichlet boundary conditions. We show that the ele...

We present an analytical strategy to solve the electric field generated by a planar region $\mathcal{A}$ enclosed by a contour $c$ which is kept with a fixed but non-uniform electric potential. The approach can be used in certain situations where the electric potential on the space requires to solve the Laplace equation with non-uniform Dirichlet b...

We study the steady state motion of incompressible and viscous fluid flow in a rotating reference frame where vortices may take place. An approximated analytic solution of the Stokes flow problem is proposed for situations where the vorticity is highly concentrated along a given direction. The approximation disconnects the component of velocity alo...

We study the steady state motion of incompressible and viscous fluid flow in a rotating reference frame where vortices may take place. An approximated analytic solution of the Stokes flow problem is proposed for situations where the vorticity is highly concentrated along a given direction. The approximation disconnects the component of velocity alo...

Using the approach of a Vandermonde determinant to the power Γ=Q2/kBT expansion on monomial functions, a way to find the excess energy Uexc of the two-dimensional one-component plasma (2DOCP) on hard and soft disks (or a Dyson gas) for odd values of Γ/2 is provided. At Γ=2, the present study not only corroborates the result for the particle-particl...

Many particle systems may exhibit interesting properties depending on the interaction between their constituents. Among them, it is possible to find situations where highly ordered microscopic structures may emerge from these interactions. The central problem to identify the mechanisms which activate the ordered particle arrangements has been the s...

Using the expansion on monomial functions of the Vandermonde determinant to the power $\Gamma=Q^2/(k_BT)$, a way to find the excess energy $U_{exc}$ of the two dimensional one component plasma 2dOCP on the hard and soft disk (or Dyson Gas) for odd values of $\Gamma/2$ is provided. At $\Gamma=2$, the current study not only corroborates the result fo...

The two dimensional one component plasma 2dOCP is a classical system consisting of $N$ identical particles with the same charge $q$ confined in a two dimensional surface with a neutralizing background. The Boltzmann factor at temperature $T$ may be expressed as a Vandermonde determinant to the power $\Gamma=q^2/(k_B T)$. Several statistical propert...

Resumen We analyse the classical and quantum behaviour of a particle trapped in a diamond shaped billiard. We defined this billiard as a half stadium connected with a triangular billiard. A parameter $\xi$ which gradually change the shape of the billiard from a regular equilateral triangle ($\xi=1$) to a diamond ($\xi=0$) was used to control the t...

We analyse the classical and quantum behaviour of a particle trapped in a diamond shaped billiard. We defined this billiard as a half stadium connected with a triangular billiard. A parameter $\xi$ which gradually change the shape of the billiard from a regular equilateral triangle ($\xi=1$) to a diamond ($\xi=0$) was used to control the transition...

We illustrate some of the techniques to identify chaos signatures at the quantum level using as a guiding examples some systems where a particle is constrained to move on a radial symmetric, but non planar, surface. In particular, two systems are studied: the case of a cone with an arbitrary contour or dunce hat billiard and the rectangular billiar...