In this study, the thermal characteristics of turbulent nanofluid flow in a helical tube in the tube heat exchanger (HTTHE) were assessed numerically through computational fluid dynamics (CFD) simulation. The findings of both the turbulent models: realizable k-epsion (k-ε) and re-normalisation group (RNG) k-epsilon were compared. The temperature distribution contours show that realizable and RN...

It is shown that the energy (ε) and momentum (k) dependences of the electron selfenergy function Σ(k, ε + i0) ≡ Σ(k, ε) are, ImΣ(k, ε) = −aε|ε − ξk| −γ(k) where a is some constant, ξk = ε(k)−μ, ε(k) being the band energy, and the critical exponent γ(k), which depends on the curvature of the Fermi surface at k, satisfies, 0 ≤ γ(k) ≤ 1. This leads to a new type of electron liquid, which is the Fe...

Consider the singular perturbation problem for εu(t; ε) + u(t; ε) = Au(t; ε) + ∫ t 0 K(t− s)Au(s; ε) ds+ f(t; ε) , where t ≥ 0, u(0; ε) = u0(ε), u (0; ε) = u1(ε), and w(t) = Aw(t) + ∫ t 0 K(t− s)Aw(s)ds+ f(t) , t ≥ 0 , w(0) = w0 , in a Banach space X when ε → 0. Here A is the generator of a strongly continuous cosine family and a strongly continuous semigroup, and K(t) is a bounded linear opera...

CCHE3D model is developed at the National Center for Computational Hydroscience and Engineering, The University of Mississippi, for simulating unsteady, free surface, three-dimensional turbulent flows and sediment/pollutant transport and water quality. This model is based on Efficient Element Method, a collocation version of the Galerkin approach. The basic element is a cube with twenty-seven n...

In this paper, we consider the k-center problem for streaming points in Rd. More precisely, we consider the single-pass streaming model, where each point in the stream is allowed to be examined only once and a small amount of information can be stored in a device. Since the size of memory is much smaller than the size of the data in the streaming model, it is important to develop an algorithm w...