A numerical investigation was performed on triangular solar air collectors by integrating unique layouts of triangular and alternating triangular copper metal foams with graded and non-graded pore densities. A three-dimensional CFD model was established to solve the governing equations of coupled systems for porous and non-porous domains. The two-energy-equations model was implemented to simulate heat transfer in porous media. The mathematical model was validated with numerical and experimental tests, with maximum mean absolute percentage error of 5% and 7%, respectively. To compromise heat transfer improvement with pressure losses, a partial metal foam insertion was adopted, covering 10% to 25% of the air duct volume. The findings indicate

This study investigates the boundary between the Upper Cretaceous Kometan (Turonian–Campanian) and Shiranish (Late Campanian–Maastrichtian) formations at the Sarchinar and Goizha surface sections in the Sulaymaniyah area, northeastern Iraq, in order to refine their biostratigraphic framework and reconstruct the depositional evolution across the formation boundary. The two formations are characterized by thin- to medium-bedded chalky and marly limestones overlain by blue to grey marls and marly limestones, which record a transition from outer-shelf to upper-bathyal ramp carbonates into deeper hemipelagic basinal deposits within the Zagros fold–thrust belt. A total of 100 rock samples were collected from the exposed successions

The paper is concerned with the state and proof of the existence theorem of a unique solution (state vector) of couple nonlinear hyperbolic equations (CNLHEQS) via the Galerkin method (GM) with the Aubin theorem. When the continuous classical boundary control vector (CCBCV) is known, the theorem of existence a CCBOCV with equality and inequality state vector constraints (EIESVC) is stated and proved, the existence theorem of a unique solution of the adjoint couple equations (ADCEQS) associated with the state equations is studied. The Frcéhet derivative derivation of the "Hamiltonian" is obtained. Finally the necessary theorem (necessary conditions "NCs") and the sufficient theorem (sufficient conditions" SCs") for optimality of the stat

This systematic review aimed to analyse available evidence to answer two focused questions about the efficacy of erythritol powder air‐polishing (EPAP) (i) as an adjunctive during active periodontal therapy (APT) and (ii) as an alternative to hand/ultrasonic instrumentation during supportive periodontal therapy (SPT). Additionally, microbiological outcomes and patient's comfort/perceptions were assessed as secondary outcomes.