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606 articles for “Navier–Stokes equation”
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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
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Electromagnetic Transients in Compensated Overhead Lines with Multiple Tower Spans
Abstract: This paper addresses the analysis of the electromagnetic transients developed in an important class of non-uniform high-voltage power lines. It deals particularly with compensated long overhead high- voltage transmission lines composed of several tower spans, which are connected in cascade. The derived mathematical model leads to a system composed of simultaneous partial differential and algebraic equations, which can be solved numerically in terms of parametric functions using the software Mathematica’s …
Published in Trends in Electrical Engineering · Vol. 15, Issue 2, 2025 · pp. 1–9 Read article
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The Rise of Fractional Calculus: Novel Applications in Engineering and Biological Systems
Abstract: Fractional calculus (FC) is an advanced mathematical framework that generalizes the classical concepts of differentiation and integration to non-integer, or fractional, orders. This extension of traditional calculus allows for the modeling of complex dynamic systems that exhibit behavior not easily captured by integer-order differential equations. Over the last few decades, fractional calculus has seen a rapid rise in popularity, particularly in applied mathematics, engineering, and biological sciences, due to its …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 7–11 Read article
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Algebraic Geometry and Mathematical Physics: An Interdisciplinary Exploration
Abstract: Algebraic geometry, a branch of mathematics that studies solutions to systems of polynomial equations, has profound implications in mathematical physics. This paper delves into the intersection of algebraic geometry and mathematical physics, exploring how concepts from algebraic geometry illuminate various physical phenomena. We examine applications in string theory, quantum field theory, and positive geometry, highlighting the role of algebraic structures in understanding the fabric of the universe.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 26–29 Read article
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Land surface dynamics: A Multiphysics Approach to Modeling Mass Transport
Abstract: Land surface dynamics are governed by complex interactions among hydrological, atmospheric, and geomorphological processes that collectively drive the transport of mass across terrestrial environments. Traditional modeling approaches often isolate individual mechanisms, limiting their ability to capture the coupled feedbacks that shape landscape evolution. This study presents a multiphysics framework for modeling mass transport on land surfaces, integrating fluid flow, sediment transport, heat exchange, and chemical reactions within a unified computational …
Published in International Journal of Land · Vol. 2, Issue 2, 2025 · pp. 31–36 Read article
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Analyzing Thermal Expansion in Polymer Composites Through Heat Transfer Simulations
Abstract: Although lightweight and strong, polymer composites require careful handling in environments where temperatures shift. Their usefulness in fields like aviation, vehicle manufacturing, and electronic devices comes from customizable heat behavior alongside favorable mechanical traits. Yet variation in size due to heating or cooling remains a concern hard to dismiss. As conditions change, expansion occurs - sometimes enough to disrupt fit, alignment, or function within complex systems. This response to warmth …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 1098–1108 Read article
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Vibration of Square Plate
Abstract: This paper presents a finite element mode FEA for a simply supported squire plate, one of the most important dynamic analyses is finite element analysis FEA in an area of the mechanical engineering. When there is no external force on the structure, The study is indicated the results of frequency for square plate while face applied force by two techniques each one is completely deferent from the another, first one …
Published in Journal of Experimental & Applied Mechanics · Vol. 12, Issue 3, 2021 Read article
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STUDY OF SMALL SIGNAL DISTUBANCES IN MULTI MACHINE POWER SYSTEM USING MATLAB
Abstract: The distance of electricity transmission gets longer and longer, and capacity is also increasing, the voltage level by transport is becoming more and higher, while the stability problem of power system is more and more prominent. If the power system's stability is destroyed, it can cause a very serious problem. This report describes the computational technique used to solve the large and complex mathematical problem in an easier and convenient …
Published in Journal of Industrial Safety Engineering · Vol. 6, Issue 1, 2019 · pp. 36–66 Read article
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Capacitance–Resistance Model Application to Reservoirs Primarily Under Aquifer Influx
Abstract: Previous Capacitance – Resistance Models that have been developed to characterise black oil reservoirs undergoing waterflooding do not apply to waterflooding of reservoirs primarily under aquifer influxresulting in significant error. This paper has attempted to overcome this limitation by presenting the aquifer influx as a pseudo injector whose injection rate is represented by an existing aquifer model.The influencing parameters of the model have been modified to include an aquifer influx …
Published in Journal of Materials & Metallurgical Engineering · Vol. 10, Issue 1, 2020 · pp. 16–29 Read article
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Riemannian Metric based Smart Senor for Testing Corona Virus
Abstract: This paper proposes an electronic device based on Riemannian metric for testing corona virus. Hamilton’s evolution equation based sensor presents the nodes of corona virus through the Riemannian metric. The initial position and terminal position of corona virus based interval is defined with respect to the time. This is measured by Riemannian metric. There exists the functional F, which is the probable structure of corona virus and its variant over …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 3, 2023 · pp. 37–42 Read article
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CFD Analysis of Effect of Forced Vibration on Heat Transfer in Laminar Flow
Abstract: Vibration of pipes conveying fluid is an important problem present in installations which are normally used in petroleum industries, hydropower systems, food processing industries, chemical plants and hydraulic power systems. Research is needed to further understand and be able to predict the flow behavior and investigate ways of improving their processing. The current work involves the numerical simulation of flow and heat transfer under an externally imposed mechanical vibration. CFD …
Published in Journal of Thermal Engineering and Applications · Vol. 2, Issue 1, 2015 · pp. 1–9 Read article
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Process Control Model of a Simple Water Treatment Plant
Abstract: In everyday life we encounter many interesting but complex processes, and we want to be able to describe these processes in an understandable way. This paper presents a mathematical model for studying the process behavior of a water treatment plant. A state equation was developed as a mathematical model of the process. This mathematical model was used to simulate the effects of varying the parameters of the plant (R, C, …
Published in Trends in Mechanical Engineering & Technology · Vol. 3, Issue 2, 2013 · pp. 29–42 Read article
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Digital Solar Distillation and Pasteurization System
Abstract: Pure drinking water is limited, in both coastal area and heavily populated area which makes people drink impure, unhygienic water from supply. This water can be easily purified and drinkable by utilizing abundant solar energy available in these areas. This following project is a combined design where both solar distillation and solar pasteurization can be performed automatically inside the same chamber. Also the system is designed in such a way …
Published in Journal of Alternate Energy Sources & Technologies · Vol. 6, Issue 3, 2015 · pp. 53–59 Read article
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Assessment of Soil Erosion Using USLE Technique: A Case Study of Mysore District, Karnataka, India
Abstract: The present study has been conducted to assess the soil erosion in Mysore district in Karnataka, India. The most widely used Universal Soil Loss Equation (USLE) method has been adopted for the analysis. The USLE method performs based on the five parameters such as, rainfall factor, soil factor, length and slope factor and conservation practice factor. Each necessary numerical data have been obtained from the concerned organization and satellite images …
Published in Journal of Remote Sensing & GIS · Vol. 6, Issue 3, 2015 · pp. 45–51 Read article
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Renewable Immunity: A Support to Humanity
Abstract: The “survival to the fittest” paradigm is invariably weighted w.r.t. competitiveness. This fitness is therefore constantly interacting both with the living races, and the dynamic nature, more than living –albeit in a complex way. While the former appear to tame nature, the fact is that latter demonstrates the superiority from time to time, in which the former attempt to truce with. The latter quality is called immunity especially when it …
Published in OmniScience: A Multi-disciplinary Journal · Vol. 4, Issue 3, 2014 · pp. 21–29 Read article
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Use of Simple Scientific Principles in Rural Areas for Common Utility
Abstract: Archimedes principle describes the laws of a floating body, be it a country boat or an ocean going ship. Based on such principle and common laws of forces defined by Newton’s laws for motion, the stability equations of a floating body has been developed. Some of the Indian villages, mostly in northern India, are inundated with many rivers and canals which are mostly used for economic activities like fishing, irrigation …
Published in Journal of Offshore Structure and Technology · Vol. 8, Issue 3, 2021 · pp. 1–13 Read article
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Vedic Mathematics in Algebra Techniques, and Problem-Solving Benefits
Abstract: The sixteen Sutras and thirteen Sub-Sutras form the foundation of Vedic algebraic mathematics. This article discusses the Buddha's teachings and shows how to use them to solve algebra problems. Unified mathematics is defined as a state where processes can refer to and understand each other. Vedic formulas, which can be utilized for addition, subtraction, division, and other mathematical operations, are taught with examples. Vedic mathematics not only saves time, but …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 1, 2025 · pp. 23–28 Read article
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Accuracy Improvement for Propeller Cavitation Noise Prediction Using UDF
Abstract: Recently, there has been an increase in demand for propulsion systems with higher hydrodynamic performance and lower underwater-radiated noise, as environmental issues are gaining more attention in addition to the traditional military necessity. It is important to reduce cavitation noise when designing propellers of the ships, especially for oceanographic research vessels because they use acoustic instruments and cavitation noise can interfere with their operation. It is well known that, when …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 2, 2025 · pp. 18–26 Read article
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Psychological Drivers of ESG Investment in the Polymer Sector
Abstract: This research will delve into the mentalities of investors concerning investments in polymer-ESG projects. Sustainable investing has become very popular in recent times across the globe. At the same time, the polymer or plastic industry is encountering numerous environmental issues. Plastics make up some 3.3–4.5% of global emissions of greenhouse gases (≈1.8 billion tons per year, TPI), and only about 9% of the total production of 400 million tons is …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 · pp. 162–174 Read article
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Physical Real-time Model of Diesel Particulate Filter using Second-order Perturbation Method
Abstract: This paper presents the analytical solution of a steady incompressibleviscous fluid flow through a square channelwith circular pores on the wall through which small outwardnormal suction is imposed. The outlet end of the channelis plugged off so that the entire flow is forced through theporous walls. Removal of this plugged end boundary conditionmakes it Berman’s solution [2]. This report has reducedthe Navier-Stokes equations applicable to this particularflow scenario to sets …
Published in Journal of Automobile Engineering and Applications · Vol. 5, Issue 3, 2018 · pp. 29–34 Read article