The profound computational expense required to analyze complex wave propagation within advanced architected materials presents a formidable barrier to the rapid design of novel periodic structures. To resolve this critical bottleneck, this research introduces a highly accelerated semi-analytical computational framework. The methodology leverages Bloch mode synthesis (BMS) to execute profound interior domain condensation, drastically reducing system degrees of freedom (DOF) without sacrificing precision. Simultaneously, an algebraic null space matrix projection is deployed to mathematically eliminate constraint dependencies and efficiently impose periodic boundary conditions (PBCs), thereby guaranteeing ultra-fast processing. To rigorously demonstrate the versatility and predictive power of the proposed solver, a fundamentally novel topology, termed the curved re-entrant hybrid metamaterial (CRHM), is introduced as an evaluative test bed. This unique architecture strategically embeds parametric Bezier curves within a foundational lattice, leveraging precise geometric curvature to seamlessly govern local resonance and elastic scattering phenomena. The numerical outputs generated by the solver for this advanced geometry are then systematically compared against standard unit cell analyses utilizing MATLAB and the COMSOL Multiphysics. Before fully evaluating this geometry, the proposed framework is strictly validated against a curved re-entrant honeycomb (RH), an established literature benchmark, to confirm numerical reliability. Following this rigorous verification, comprehensive evaluations of the CRHM uncover deep subwavelength wave isolation directly resulting from its topological arrangement, demonstrating its exceptional versatility for both independent application and integration within broader multi-physics systems. These attenuation characteristics are corroborated through finite array transmission cross verifications utilizing both MATLAB and COMSOL. Exploiting the rapid evaluation cycles afforded by the numerical formulation, comprehensive structural sweeps elucidate a fundamental physical trade-off balancing cumulative attenuation capacity against uninterrupted spectral continuity. This explicit behavioral mechanism provides engineers with a highly predictable tuning strategy to satisfy diverse broadband isolation criteria. Beyond these spectral attenuation capabilities, rigorous iso-frequency verifications reveal profound spatial anisotropy inherent to the unit cell design. Supported by explicit directivity analyses for verifying group velocities, the calculated divergence between phase and group velocity vectors facilitates high directivity, permitting the targeted routing of wave energy along strictly defined spatial trajectories. Ultimately, integrating this highly efficient framework with the customizable CRHM topology establishes a scalable paradigm for engineering advanced wave mechanics, demonstrating utility in both isolated operations and coupled multi-physics architectures.

Accurate prediction of acoustic propagation in salt cavern gas storage remains challenging due to the strong coupling between temperature and concentration fields in high-salinity environments. A multiphysics modelling framework is established by integrating piezoelectric, acoustic, and solid mechanics interactions with a temperature-dependent sound velocity formulation that accounts for concentration effects. The model is implemented in an axisymmetric configuration and evaluated under representative thermal and salinity conditions. The results demonstrate a pronounced nonlinear response of acoustic propagation to coupled temperature–concentration effects. Under elevated temperature and near-saturated brine conditions, a plateau-like behaviour in acoustic energy dissipation is observed, where further temperature increase leads to limited additional attenuation. This behaviour is governed by the competition between impedance matching efficiency and sound speed variation. Quantitative analysis indicates that reliance on room-temperature calibration may introduce systematic deviations of approximately 9% under high-temperature conditions. The study provides a physically grounded interpretation of acoustic behaviour under coupled-field conditions and offers a basis for improving the reliability of sonar-based detection in salt cavern environments. The proposed framework further contributes to the modelling of thermo-acoustic interactions in complex subsurface energy systems.

Phase-change thermal energy storage systems are widely employed to regulate heat transfer under transient operating conditions. This study investigates the coupled effects of porous media, thermal radiation, and hybrid nanofluids on the solidification behaviour of a phase change material, treating the system as an interacting multiphysics heat transfer problem. A numerical framework based on the Galerkin method with adaptive meshing is used to analyse solidification within enclosures of different geometries. Hybrid nanoparticles are introduced to modify the effective thermal properties of the base material, while porous structures and radiative effects are incorporated to influence the dominant heat transfer mechanisms during phase transition. The results indicate that the addition of nanoparticles alone reduces the total freezing time by approximately 7.81% in the absence of porous media and radiation. The inclusion of radiative effects further accelerates the process, with reductions of up to 32.62% observed in non-porous configurations. When porous media, radiation, and nanoparticle enhancement are combined, additional improvements in solidification rate are obtained, reflecting the interaction among the governing transport processes. The findings show that solidification performance in phase-change systems is controlled by the interplay of conduction, radiation, and porous transport, and that coordinated modification of these mechanisms provides an effective route to improving thermal energy storage efficiency.

Efficient thermal management in electrically conducting fluids is critically required in advanced engineering systems, including power generation, electronic cooling, and nuclear reactor technologies, where strong magnetic fields significantly influence transport phenomena. In the present study, steady, incompressible flow of a hybrid nanofluid over a porous stretching surface was systematically investigated under the combined effects of Hall current, thermal radiation, and a spatially varying heat source. The hybrid nanofluid was formulated by dispersing tricalcium phosphate (Ca$_3$(PO$_4$)$_2$) and molybdenum disulfide (MoS$_2$) nanoparticles in water. The governing nonlinear partial differential equations were transformed into a system of coupled ordinary differential equations through similarity transformations, and numerical solutions were obtained using a fourth-order Runge–Kutta method coupled with a shooting algorithm. To further optimize the thermal transport characteristics, the Taguchi optimization technique with an L$_{16}$ orthogonal array was employed to evaluate the relative significance of key parameters and to identify optimal parametric combinations. The results reveal that the hybrid nanofluid exhibits superior thermal performance compared with conventional nanofluids. These findings provide valuable insights for the design and optimization of multiphysics thermal systems involving magnetohydrodynamic flows and hybrid nanofluids, thereby contributing to the development of high-efficiency thermal management technologies.

Cold thermal energy storage systems based on phase change materials (PCMs) play an important role in improving the efficiency of refrigeration and cooling applications, yet their performance is often limited by the low thermal conductivity of the storage medium. This study examines the solidification process in a PCM-based system enhanced by a porous metal foam structure and a ternary hybrid nanofluid. The configuration combines a wavy-walled container with internal fins, where the thermal response is governed by the interaction between modified material properties and the conductive network formed within the porous medium. A transient numerical model is developed using a Galerkin weighted residual formulation with adaptive mesh refinement to resolve the evolution of the solidification front. Owing to the limited fluid motion during freezing, the analysis focuses on conduction-driven transport while retaining the influence of material heterogeneity on heat transfer. The numerical implementation is validated against benchmark results reported in the literature, showing good agreement. The results indicate that the addition of ternary nanoparticles ($\mathrm{Al}_2 \mathrm{O}_3-\mathrm{TiO}_2-\mathrm{Ag}$) leads to a moderate increase in the solidification rate, reducing the freezing time by approximately 13.14% through enhancement of effective thermal conductivity. In contrast, the introduction of metal foam significantly alters the heat transfer pathway within the domain, shortening the freezing duration by more than 80% due to the formation of an extended conductive structure. When both enhancement strategies are applied simultaneously, a further reduction in freezing time is observed, indicating a combined effect of material modification and structural conduction. The findings provide quantitative insight into the relative roles of nanoparticle dispersion and porous media in conduction-dominated phase change processes and offer guidance for the design of efficient cold thermal energy storage systems.

Local failure in cellular beams is strongly influenced by stress redistribution within the web-post region, yet bending-dominated mechanisms associated with closely spaced openings remain insufficiently addressed in current design provisions. This study examines the limit load corresponding to web-post bending failure using a three-dimensional Finite Element (FE) framework, with particular attention to structural members employed in integrated systems where service openings are required. The numerical model is first validated against available experimental and computational results to ensure accurate representation of both global response and local stress transfer. A parametric study involving 100 models is then carried out by varying section size, slenderness ratio, and opening ratio. The limit load is defined by the formation of a continuous yield path across the web-post ligament. The results show that bending-dominated web-post failure develops as a progressive mechanism controlled by the combined action of normal stress and shear transfer. This mode consistently precedes other local mechanisms, including web-post shear failure and Vierendeel action, and therefore governs the load-carrying capacity. Comparisons with ANSI/AISC 360-16 indicate that the current provisions underestimate the limit load by an average of 68.85%, with larger discrepancies observed for beams with lower slenderness ratios, smaller opening ratios, and larger section sizes. The findings highlight the need to explicitly consider this failure mode in design and provide a clearer basis for assessing the local resistance of cellular beams used in structural systems where mechanical performance must be reconciled with service integration requirements.