An approach to shape covering maps

Sin resume

Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains

We present low temperature transport measurements in one dimensional Josephson junctions rhombi chains. We have measured the current phase relation of a chain of 8 rhombi. The junctions are either in the classical phase regime with the Josephson energy much larger than the charging energy, $E_{J}\gg E_{C}$, or in the quantum phase regime where $E_{J}/E_{C}\approx 2$. In the strong Josephson coupling regime ($E_{J}\gg E_{C} \gg k_{B}T$) we observe a sawtooth-like supercurrent as a function of the phase difference over the chain. The period of the supercurrent oscillations changes abruptly from one flux quantum $\Phi_{0}$ to half the flux quantum $\Phi_{0}/2$ as the rhombi are tuned in the vicinity of full frustration. The main observed features can be understood from the complex energy ground state of the chain. For $E_{J}/E_{C}\approx 2$ we do observe a dramatic suppression and rounding of the switching current dependence which we found to be consistent with the model developed by Matveev et al.(Phys. Rev. Lett. {\bf 89}, 096802(2002)) for long Josephson junctions chains.Comment: to appear in Phys. Rev.

Radiation Effects on the Flow near the Stagnation Point of a Stretching Sheet

The present paper is concerned with the study of the radiation effects (Rosseland model) on the flow of an incompressible viscous fluid over a flat sheet near the stagnation point. The system of ordinary differential equations is solved numerically using the Runge-Kutta method coupled with a shooting technique. The results show that a boundary layer is formed and its thickness increases with the radiation, velocity and temperature parameters and decreases when the Prandtl number is increased

Flow and Heat Transfer on a Continuous Porous Surface Moving in Parallel with or Reversely to a Free Stream

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The Reynolds analogy for the mixed convection over a vertical surface with prescribed heat flux

Abstract.: The steady mixed convection boundary layer flow over a vertical surface with prescribed heat flux is revisited in this Note. The subset of solutions which can be obtained with the aid of the Reynolds analogy is discussed in a close relationship with the dual solutions reported by Merkin and Mahmood [1] for impermeable, and more recently by Ishak et al. [2], for permeable surface

Free Convection over 3 Vertical Flat Plate with a Variable Wall Temperature and Internal Heat Generation in a Porous Medium Saturated with a Non-Newtonian Fluid

A boundary-layer analysis is performed in this paper for the free convection flow over a vertical flat plate embedded in a porous medium saturated by a power-law non-Newtonian fluid. It is assumed that the temperature is a function of the distance from the origin, and that there is an internal heat source within the porous medium. Similarity solutions are derived for the governing equations and then used to study the effects of the power-law temperature parameter and power-law fluid index on the heat transfer characteristics

The effects of suction or injection in boundary layer flow and heat transfer on a continuous moving surface

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Free Convection Boundary Layer over a Vertical Cone in a Non- Newtonian Fluid Saturated Porous Medium with Internal Heat Generation

The steady free convection boundary layer over a vertical cone embedded in a porous medium filled with a non-Newtonian fluid with an exponential decaying internal heat generation is studied in this paper. We adopt for the non-Newtonian fluid the well-known model of a power-law fluid. Two cases are considered, variable wall temperature (VWT) and variable heat flux (VHF), respectively. As for the classical problem  without internal heat generation, it has been found that similarity solutions exist for the case studied here, when internal heat generation is present in the porous medium. The similarity equations are solved numerically using a very efficient implicit finite-difference scheme. The obtained results are compared with those from the open literature and it is shown that they are in very good agreement