The contribution compares results of Large Eddy Simulations of the cavitating flow in a model oil hydraulic spool valve using an Euler-Euler and a one-way coupled EulerLagrange model. The impact of the choice of the empirical constants in the Kunz cavitation model is demonstrated. Provided these are chosen appropriately the approach can yield reasonable agreement with the corresponding experime...

As a natural generalization of the Euler–Mascheroni constant $\gamma $, Y. Ihara introduced Euler–Kronecker _K$ attached to any number field $K$. He obtained bounds on conditional upon generalized Riemann hypothesis. I

In this paper it is shown that a new Hardy-Hilbert type integral inequality can be established by introducing a proper integral kernel function, and that the constant factor is proved to be the best possible. In particular, for case p = 2, a new Hilbert type integral inequality is given .And as the mathematics aesthetics, several important constants π and Euler number En appear simultaneously i...

In this study, we derive a new representation for the Euler-Mascheroni constant and present various expressions classical related to Riemann zeta function. Also, proved that \(\gamma\) is not algebraic if Schanuel conjecture true.

Let R[G] be the group ring of a finite group G over a ring R. In this article, we study Euler characteristics of bounded metrised complexes of finitely generated Z[G]-modules, with applications to Arakelov theory and the determination of ǫ-constants. A metric on a bounded complex K• of finitely generated Z[G]-modules is specified by giving for each irreducible character φ of G a metric on the d...