The forced convection heat transfer of turbulent Al2O3-water nanofluid flow inside the grooved tubeswith the different aspect ratio of the rectangular grooves is numerically investigated. The governingequations have been solved using finite volume method (FVM) coupled with SIMPLE algorithm. It isassumed the heat flux is constant on the grooved walls. The Single-phase approach is applied for th...

we are concerned with the development of a k−step method for the numerical solution of fuzzy initial value problems. convergence and stability of the method are also proved in detail. moreover, a specific method of order 4 is found. the numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.

Efficient processing of top-k queries on multidimensional grids is a common requirement in information retrieval and data mining, for example in OLAP cubes. We introduce a data structure, the K-treap, that represents grids in compact form and supports efficient prioritized range queries. We compare the K-treap with state-of-the-art solutions on synthetic and real-world datasets, showing that it...

We give a simple explanation of numerical experiments of V. Arnold with two sequences of symmetric numerical semigroups, S(4, 6 + 4k, 87− 4k) and S(9, 3 + 9k, 85− 9k) generated by three elements. We present a generalization of these sequences by numerical semigroups S(r 1 , r1r2 + r 2 1k, r3 − r 2 1k), k ∈ Z, r1, r2, r3 ∈ Z , r1 ≥ 2 and gcd(r1, r2) = gcd(r1, r3) = 1, and calculate their univers...