The objective of this study is to find the temperature distribution of a slab as it moves through the pusher-type preheat furnaces. First, the imaginary planes method (IPM) as a new and applicable method for calculation of radiation heat transfer in industrial furnaces is studied, and the two-dimensional form of this method is used to calculate heat flux and temperature distribution in the furn...

Numerical study of various processes leads to the need for clarification (extensions) limits applicability computational constructs and modeling tools. In this article, we differentiability in space Lebesgue integrable functions consistency concept with fundamental constructions such as Taylor expansion finite differences is considered. The function $f$ from $L_1 [a; b]$ called $(k,L)$-differen...

Under natural conditions, we prove exponential ergodicity in the \( L_1\)-Wasserstein distance of two-type continuous-state branching processes Lévy random environments with immigration. Furthermore, express precisely parameters exponent. The coupling method and conditioned property play an important role approach. Using tool superprocesses, total variation is also proved.

The aim of this study, is to use finite element simulation to achieve the optimal geometry of a broaching tool that creates the lowest tensile stress at the machined surface of the Ti6Al4V alloy. It plays a major role in reducing production costs and improves the surface integrity of the machined parts. The type and amount of residual stress determined by the thermal and mechanical loads transm...

A consistency criteria is given for a certain class of finite positive measures on the surfaces of the finite dimensional unit balls in a real separable Hilbert space. It is proved, through a Kolmogorov type existence theorem, that the class induces a unique positive measure on the surface of the unit ball in the Hilbert space. As an application, this will naturally accomplish the work of Kante...

In this work, we evaluate quantum coherence using the $$l_{1}$$ -norm and convex-roof obtain several new results. First, provide some general triangle-like inequalities of coherence, with results better than existing ones. Second, for special three-dimensional states, a method calculating is presented. Lastly, offer distinct upper bounds in measure based on state itself.