Search
26 articles for “continuity equations”
-
Numerical Simulation of Transient Free Convection in a Rectangular Cavity Filled with Porous Material Using Finite Element Formulations
Abstract: In this study, the finite element method is used to quantitatively explore transient free convection in porous cavities in order to understand the flow characteristics and heat conduction processes in the square cavities. In comparison to an uniform temperature gradient, the left wall is swiftly heated and the right wall is allowed to cool to a specific temperature. The horizontal walls are insulated on both sides. Dimensionless representations of the …
Published in Journal of Polymer & Composites · Vol. 11, Issue 8, 2023 · pp. 1–10 Read article
-
Mathematical Modelling of Semiconductor Device Physics: An Analytical Approach
Abstract: Semiconductor device physics forms the foundation of modern electronic and optoelectronic technologies. Mathematical modelling provides a rigorous framework for understanding, predicting, and optimizing the behavior of semiconductor devices by linking physical principles with device-level performance. This work presents an analytical approach to the mathematical modelling of semiconductor devices, emphasizing the derivation and interpretation of governing equations that describe charge transport and electrostatic behavior. The model is based on fundamental physical …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 36–42 Read article
-
Unified Mass–Energy Dissolution Cosmology (UMEDC): A Staged Framework for Cosmic Energy Transformation and Late-Time Acceleration
Abstract: The ΛCDM model successfully describes the universe’s expansion but remains fundamentally descriptive: it assigns fixed densities to matter, dark matter, and dark energy without providing a unifying physical mechanism behind their coexistence or evolution. In this work, we introduce the Unified Mass–Energy Dissolution Cosmology (UMEDC), a novel framework based on the staged transformation M → DM → DE, where ordinary matter gradually dissolves into a dark-matter-like reservoir, which subsequently transforms …
Published in International Journal of Universe · Vol. 1, Issue 2, 2025 · pp. 18–34 Read article
-
Thermo-Hydraulic Enhancement of Annular Finned Shell-and-Tube Heat Exchangers Using Epoxy-Based Polymer Composites: A Material–Geometry Coupled CFD Investigation
Abstract: Shell-and-tube heat exchangers remain a backbone of industrial thermal systems, yet their performance is often limited by relatively low shell-side heat transfer and the weight and cost associated with conventional metallic components. In this context, the integration of polymer composite materials offers a promising pathway toward lightweight, corrosion-resistant, and performance-tunable heat exchanger designs. The present study investigates the thermo-hydraulic performance of a straight-tube shell-and-tube heat exchanger equipped with annular fins, …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 669–684 Read article
-
From Differential Equations to Data Science: A Survey on Analytical Methods in Contemporary Problems
Abstract: The integration of differential equations and data science methods represents a dynamic and evolving approach to solving contemporary challenges across a wide range of disciplines, including engineering, physics, biology, economics, and finance. Differential equations have long served as fundamental tools for modeling continuous systems and processes, offering powerful insights into the behavior of natural and man-made phenomena. For example, they describe how heat diffuses through materials, how populations grow in …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 1–6 Read article
-
Differential Model of Wave Vibration on Strings and Rods
Abstract: Vibration, as a physical phenomenon, plays a multifaceted role in both natural and engineered systems. Beyond its essential contribution to communication through sound and speech, it finds critical application in various technological domains. For instance, in the design of stringed musical instruments such as violins and guitars, precise manipulation of string vibrations defines tonal quality and musical resonance. Similarly, metal rods in tuning forks exhibit vibrational properties that are finely …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 1, 2025 · pp. 17–21 Read article
-
Cardiovascular Modeling with Computational and Mathematical Methods
Abstract: The cardiovascular system, a complex network responsible for delivering life-sustaining oxygen and nutrients throughout the body, is a prime target for advanced understanding and improved therapies. Due to the inherent difficulties in directly observing internal physiological processes and the complexities of interactions within the system, computational and mathematical modeling have emerged as powerful tools in cardiovascular research. This article explores the significance of these methods in unveiling the heart's secrets …
Published in Research & Reviews: A Journal of Bioinformatics · Vol. 12, Issue 2, 2025 · pp. 11–21 Read article
-
Analysis of a New Approach to Admission Call Control
Abstract: This study presents a new method of managing call admission in wireless networks using a resource reservation technique. The system under study comprises a defined number of operating devices, standby units, and technicians assigned to repair failed devices. In this method, the failure and repair of devices are assumed to follow an exponential distribution. Whenever a device fails, a standby unit replaces it to maintain seamless functionality, and the failed …
Published in International Journal of Mobile Computing Technology · Vol. 3, Issue 2, 2025 · pp. 01–06 Read article
-
Thermal Effects in High-Power Laser Systems: Modeling and Mitigation
Abstract: High-power laser systems are increasingly employed in industrial manufacturing, defense, medical procedures, and scientific research due to their ability to deliver high energy density with excellent spatial coherence. However, the performance and reliability of these systems are significantly influenced by thermal effects arising from optical absorption, non-radiative recombination, and inefficient heat dissipation within laser gain media and optical components. These thermal phenomena lead to adverse effects such as thermal lensing, …
Published in International Journal of Manufacturing and Production Engineering · Vol. 3, Issue 2, 2025 · pp. 9–13 Read article
-
Artificial Intelligence–Assisted Reduced-Order Modeling and Stability Control in Granular Couette Flow
Abstract: This study develops a reduced-order and stability-aware modeling framework for dense granular Couette flow by integrating continuum mechanics, bifurcation analysis, and data-driven stability estimation. Starting from coupled governing equations for momentum, granular temperature, and microstructural evolution, the system is nondimensionalized and reduced using a Galerkin projection consistent with shear-driven boundary conditions. This yields a low-dimensional nonlinear dynamical system that preserves the essential coupling between velocity, fluctuation energy, and structural relaxation. …
Published in Emerging Trends in Chemical Engineering · Vol. 13, Issue 3, 2026 Read article
-
Inverse Model for Predicting Thermal Abnormality of the Transient Process Triggered by Defective Electronics Element
Abstract: The paper presents a model for predicting thermal abnormalities in Printed Circuit Boards (PCBs) by approximating the thermal process of electric elements with heating from point sources. Circuit board heat sources are defined as point and non-point. The point heat source is a small electronic heating element that can be approximated as having originated from one point on the circuit board. A non-point source is one with heat distributed over …
Published in International Journal of Energy and Thermal Applications · Vol. 3, Issue 2, 2025 · pp. 24–31 Read article
-
Microvita as a Fermi-Boson Hybrid Quantum Excitation: A Statistical Pathway Toward Unified Physics, Chemistry, and Biological Organization
Abstract: This article reformulates Microvita as a hybrid quantum excitation that interpolates continuously between fermionic and bosonic statistical behavior. A generalized operator algebra, a dynamical statistical order parameter, and a Lorentz-covariant field equation are used to frame Microvita as an effective unification scheme rather than a mere philosophical construct. The formalism predicts renormalization-group flow between infrared fermionic and ultraviolet bosonic limits, while numerical profiles suggest vacuum-energy smoothing and topological-defect suppression in …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 17, Issue 1, 2026 · pp. 115–122 Read article
-
Autonomous Agentic AI for Adaptive Cure Optimization and Defect Prevention in Thermoset Polymer Composite Manufacturing
Abstract: Thermoset polymer composites occupy a central position in modern structural manufacturing, from aircraft fuselages to wind-turbine blades. Despite progress in resin chemistry and fiber architecture, the “cure process” that transforms compliant preforms into load-bearing structures remains difficult to manage. Manufacturers encounter ‘voids’, “interlaminar delaminations”, and “spring-back distortion” when curing complex or thick-section parts. The cause is not ignorance of the relevant physics, but rather that ‘temperature’, ‘chemistry’, ‘rheology’, and ‘mechanics’ …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 301–320 Read article
-
Effects of Reels and short videos on human mind and Academic Life
Abstract: The rapid rise of short-form video platforms such as Instagram Reels, TikTok, and YouTube Shorts has fundamentally reshaped the way people consume information and entertainment. While these applications offer quick engagement and social connection, their excessive use has raised serious concerns about their psychological and academic impacts. This research investigates the relationship between short-form video addiction, mindfulness, academic anxiety, and academic engagement among university students. Drawing upon the theoretical framework …
Published in International Journal of Behavioral Sciences · Vol. 3, Issue 2, 2026 Read article
-
Flexural Vibration of Non-Uniform Beam on Bi-Parametric Foundation Under Harmonic Moving Load with Non-Classical Boundary Conditions
Abstract: The dynamic response to harmonically varying moving loads of non-uniform elastic beam resting on bi-parametric foundation with non-classical boundary condition, time dependent in particular is examined in this paper. Here, the beam is considered non-uniform, with the moment of inertia and the distributed mass varying continuously along the span L as functions of the position 𝑥. In order to guarantee a more stable structure and a reduce risk of resonance, …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 2, 2025 · pp. 28–42 Read article
-
Adaptive Robust Constraint-Based Nonlinear Control for Trajectory Tracking and Dynamic Obstacle Avoidance in Multi-copter UAVs
Abstract: An adaptive robust nonlinear control system for multi-copter unmanned aerial vehicles (UAVs) trajectory tracking and obstacle avoidance is presented in this research. The suggested approach addresses nonlinear dynamics and environmental uncertainties by combining adaptive disturbance estimates with constraint-based control. Nonlinear differential equations are used to simulate the motion of the UAV, with obstacle avoidance represented as an inequality constraint and trajectory tracking as an equality constraint. The Udwadia–Kalaba method is …
Published in International Journal on Drones · Vol. 2, Issue 2, 2026 · pp. 01–08 Read article
-
A New Computational Method for Dust and Gas Dynamics in Protoplanetary Discs
Abstract: The simultaneous evolution of dust and gas in protoplanetary discs regulates essential events in planet formation, such as dust accumulation, migration, and the initiation of gravitational instabilities. Nevertheless, precisely modelling this interaction continues to provide a significant computing problem owing to the extensive variety of spatial and temporal scales involved. In this study, we introduce an innovative computational framework for simulating dust-gas dynamics in protoplanetary discs, integrating a two-fluid hydrodynamical …
Published in International Journal of Universe · Vol. 1, Issue 2, 2025 · pp. 35–46 Read article
-
Density Functional Theory (DFT): Understanding and Quantifying Molecular Structure of 2-D Materials
Abstract: Density Functional Theory (DFT) has emerged as a cornerstone in computational chemistry and materials science, offering a powerful framework for predicting electronic structures and properties of atoms, molecules, and solids. By focusing on electron density rather than wave functions, DFT simplifies the many-body problem through approximations like the local density approximation (LDA) and generalized-gradient approximations (GGAs). The Hohenberg-Kohn theorems establish the theoretical foundation, proving that ground-state properties are uniquely determined …
Published in Journal of Microelectronics and Solid State Devices · Vol. 12, Issue 2, 2025 · pp. 33–40 Read article
-
Complex Space-Time and the Structure of Relativistic Quantum Theory
Abstract: Relativistic quantum mechanics was developed to reconcile the principles of quantum mechanics with Einstein’s theory of relativity. Despite its success in describing high-energy particles, the theory continues to face unresolved conceptual and mathematical difficulties, particularly in relation to the nature of time, causality, and relativistic consistency. In recent years, the idea of extending space-time into the complex domain has emerged as a useful and potentially meaningful approach to these problems. …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 22–27 Read article
-
Estimation of Soil Erosion Using GIS in Pune District, Maharashtra
Abstract: The Varandha Ghats pans approximately 14.62 km 2 , where changes in temperature, vegetation, topography, and soil characteristics are causing continuous soil erosion. Catchment heterogeneity and climatic variations cause spatial variability in hydrological processes. Differences in land use, soil type, topography, and rainfall patterns influence how water moves and accumulates across regions, resulting in diverse hydrological responses. This complexity challenges accurate modeling and effective water resource management strategies across variable …
Published in Journal of Remote Sensing & GIS · Vol. 16, Issue 2, 2025 · pp. 26–33 Read article