Basrah Journal of Science

In this study, three main problems in fluid flow have been discussed. First, the derivation of the energy equation is conducted within cylindrical coordinates, which has not been addressed by the researchers before. Secondly, we develop a new algorithm for solving the governing equations that describe incompressible Newtonian flows under thermal conditions. This algorithm is constructed based on the so-called Taylor-Galerkin/Pressure-Correction finite element method with the help of the two-step Lax-Wendroff scheme. Finally, we study the effect of non-dimensional numbers, such as the Reynolds number (Re) and the Prandtl number (Pr), on the velocity, pressure, and temperature. The results show that the developed method is consistent with established physical phenomena and other studies

This study primarily focuses on two main objectives. The primary objective is to develop an appropriate model for accurately predicting the missing shear wave data in the Volve Oil Field located in the North Sea. By employing the Multi-Layer Perceptron Regression and modifying the neural network structure, the first goal attains a prediction accuracy of 0.943 for missing S-Wave log data. Furthermore, the objective of the study is to enhance the precision of forecasting incomplete S-Wave log data by optimising the structure of the artificial neural network, using neuron pruning techniques based on sensitivity analysis. This optimisation leads to a heightened accuracy rate of 0.9609. The effectiveness of these pruning strategies is clearly evident in their demonstrated capacity to improve the accurate prediction of missing data in the sonic wave log.

In this paper, we define the polynomials V_n (a,b,c,f,x,y). In order to determine the generating function, Rogers’ formula, Mehler’s formula, and their extensions for polynomials V_n (a,b,c,f,x,y), we utilize the q-exponential operator T. Some results for the Cauchy polynomials P_n (x,y) and the bivariate Rogers-Szegö polynomials h_n (x,y|q) are obtained by inserting special values into the identities of the polynomials V_n (a,b,c,f,x,y).

In this study, bi- and triple effect- domination expands into r-domination. Given a finite, nontrivial, simple, undirected graph G with no isolated vertex, a subset D ⊆ V is r-dominant if every u ∈ D dominates r vertices from V\D with r ≥ 1. γ_r (G) represents the minimum ultimate dominant set. For specific graphs, dominance is determined.

In this paper, we introduce the robust control problem (RCP) of non-linear uncertain systems with the matching condition. A relationship has been developed between the robustness with perturbations (uncertainties) and the optimality condition of the current control problem. A computational algorithm for resilient control of nonlinear dynamic systems is proposed, as well as its equivalence to a specific optimal control problem (OCP.

In this article, electronic transport through a double quantum dot attached in parallel to a metal leads and with the presence of a magnetic flux is studied with the help of the Green-function formalism and the equation of motion approach. A detail formula is obtained for the density of states and the conductance. The Fano and Dicke effects in the conductance spectra of the double quantum dots system DQD is found and controlled by tuning the coupling (Γ) of the two dots to right (left) Leads and by changing the external magnetic flux.