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1517 articles for “Numerical”
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Origin of Modern Mathematical Numeral – 0, 1, 2, 3, 4, 5, 6, 7, 8, 9: the Hindu-Indian-Brahmagubta, The Islamo-Arabic or the West?
Abstract: The aim of this paper is to examine, analyze and ascertain the root of the modern mathematical numeral system between the Indian-Hindu Brahmagubta, Islamo-Arabic and the Western numeral systems. The paper utilized secondary source of data. The methodology adopted by the paper is content analysis. The findings of the paper revealed that the origin of the shapes of our ten modern numerals do not concern the Indian mathematics history, as …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 2, 2014 · pp. 36–55 Read article
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Numerical Solution of Ordinary Differential Equation and Solution of Partial Differential Equation
Abstract: This research paper explores the fundamental role of various mathematical concepts in engineering and scientific fields like aerospace engineering, materials science, software development, and the energy sector. We delve into the applications of solving algebraic and transcendental equations, finite difference interpolation, numerical methods, solutions to ordinary differential equations (ODEs), and numerical solutions to partial differential equations (PDEs). By examining their applications in these diverse fields, we illustrate the critical importance …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 12–20 Read article
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Numerical Investigation on Concrete Filled Steel Tube Composite Circular Columns Under General Loading
Abstract: Concrete-filled steel tube (CFST) composite columns are extensively utilized in civil engineering constructions because of their numerous structural advantages, such as superior seismic performance, high load- bearing capacity, fire resistance, remarkable ductility, and ability to absorb energy effectively, especially in areas prone to seismic activity. CFST columns are employed in tall buildings and bridges to enhance rigidity and increase bearing capacity, but their behavior can be affected by buckling. There …
Published in Journal of Polymer & Composites · Vol. 13, Issue 2, 2025 · pp. 164–199 Read article
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Hybrid Numerical–Artificial Neural Network Study of Chemically Reactive MHD Nanofluid Flow Incorporating Thompson–Troian Slip and Stefan Blowing
Abstract: Boundary layer behaviour in chemically reactive nanoliquid is significantly affected by surface conditions, magnetic fields, heat and mas transfer mechanisms. However, the combined impact of Stefan blowing and nonlinear Thompson–Troian slip under inclined magnetic fields remains mostly unexplored, particularly in mixed convection flows. In this research work, the flow of a chemically reactive nanoliquid over a permeable surface is investigated by considering the Troian slip, inclined magnetic fields, Stefan blowing, …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 409–425 Read article
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Numerical and Experimental Investigation on I-type Damage Evolution in Glass Fiber Reinforced Laminates Subjected to Quasi Static Loading
Abstract: Glass fiber reinforced polymer composites has become more popular material used in aerospace and marine structural applications due to their specific strength and anti-corrosion properties. The present work discusses the numerical and experimental investigation on I-type damage evaluation in glass fiber reinforced laminates under quasi-static loading is presented. Three volume fraction of glass and resin (40/60, 50/50 and 60/40) plies were selected for both numerical and experimental damage analysis. The …
Published in Emerging Trends in Chemical Engineering · Vol. 4, Issue 3, 2017 · pp. 27–33 Read article
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Numerical Analysis and Comparison of Various Cross Sections of Heat Pipes in Heat Exchanger
Abstract: The present work describes about numerical analysis of heat pipe with different cross sections such as L-shape, U-shape, wave and spring configurations. The effect of various configurations of heat pipe plate exchanger are examined by considering temperatures, velocities, pressure depressions. The numerical values of Reynolds number, Nusselt number, heat transfer were calculated at different velocities. The outcome of numerical analysis found that it influences fluid flow and pressure depression. Hence, …
Published in Journal of Polymer & Composites · Vol. 11, Issue 8, 2023 · pp. 74–81 Read article
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Numerical Simulation of Entrained-flow Coal Gasification: A Study on Particles History
Abstract: Normal 0 false false false MicrosoftInternetExplorer4 Studies of coal particle history during coal gasification inside the gasifier are very limited. A comprehensive 3D numerical simulation of entrained-flow coal gasification is conducted. The Eulerian-Lagrangian approach is applied to solve the Navier-Stokes equations and the particle dynamics. The finite rate/eddy dissipation model is used to calculate the rate of gasgas phase reactions, whereas only finite rates are used for solid-gas phase reactions. …
Published in Journal of Energy, Environment & Carbon Credits · Vol. 6, Issue 3, 2016 · pp. 9–18 Read article
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Numerical Simulation of Crack Growth in Dynamic Loading Conditions
Abstract: Because it is crucial for forecasting structural failures in engineering applications, crack formation in materials under dynamic loading circumstances has become a crucial study topic. In this work, finite element methods (FEM) are used to numerically simulate fracture propagation in dynamic stress situations. The impact of loading rates, material characteristics, and crack geometries on crack growth patterns are assessed in a thorough parametric research. The work uses sophisticated computational methods …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 2, Issue 2, 2024 · pp. 30–34 Read article
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Numerical Simulation and Parameter Analysis for Pentacene based Organic thin Film Transistor with HfO2 Gate Dielectric
Abstract: This paper explains 2D numerical simulation and Characterization of Electrical parameter of Pentacene (Organic semiconductor) based Organic thin film transistor (OTFT) devices with HfO2 as a gate dielectric and Electrical parameters including; Threshold Voltage (Vt), Mobility (µ),Ion/Ioff, and Transconductance (gm), Sub threshold slope (SS) are extracted. The numerical simulation includes model for defect density of state and field dependent mobility model.
Published in Journal of Semiconductor Devices and Circuits · Vol. 6, Issue 2, 2019 · pp. 28–34 Read article
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The Numerical Calculation of the Behavior of the Gas Bubble, Fixed on the Solid Surface
Abstract: The existing literature data permit only qualitatively to trace the behavior of gas bubble, fixed on the solid surface, with the narrow range of Bond numbers (β). For investigation of the profiles, common surface energy of gas bubbles and equilibrium of forces, which retain bubbles on the solid surface in the fluid, the computer model of numerical calculation of the profile, surface square, volume of the gas bubble, fixed on …
Published in Recent Trends in Fluid Mechanics · Vol. 6, Issue 2, 2019 · pp. 40–46 Read article
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Computations of Numerical Integrations Through PHP With MYSQL
Abstract: The main emphasis of this paper is to calculate numerical integrations like Trapezoidal and Simpsons’ rule with server side scripting. PHP is a server-side scripting language designed for web development but also used for general purpose programming language. PHP with MySQL fulfills computations of numerical integrations with reference to database created by the researcher .This paper is an interdisciplinary activity in terms of Mathematics and computer language.
Published in Journal of Artificial Intelligence Research & Advances · Vol. 1, Issue 3, 2014 · pp. 1–3 Read article
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Numerical Programming in Computational Biology
Abstract: The field of computational science has encountered a gigantic development in the recent years. In this list of sources, we overview probably the most noteworthy commitments that were made to the field and which utilize as numerical programming strategies, while giving a wide review of use territories of cutting edge computational sub-atomic science. The regions incorporate arrangement examination, microarrays, protein structure and work, haplotyping and developmental separations.Cite this ArticleHimanshu Verma. …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 2, 2016 · pp. 1–4 Read article
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Numerical Modeling of Drug Release from HPMC Carriers with Erosion
Abstract: Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} Numerical modeling of drug release kinetics from hydroxypropyl methylcellulose (HPMC) carriers is investigated. Recently a comprehensive model describing the controlling processes of this kinetics (water uptake, drug …
Published in Research and Reviews: A Journal of Pharmaceutical Science · Vol. 2, Issue 1, 2011 · pp. 30–35 Read article
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Numerical Model for Water Hammer in Homogeneous Equilibrium Two Phase Fluid
Abstract: Generally, water hammer can occur in any thermal-hydraulic systems. Rapid closing or opening of a valve causes pressure transients due to the sudden transformation of kinetic energy into the potential energy. The resulting high pressure surge upstream of the valve leads to the temporary increase in pressure. If the increased pressure surpasses the safety margin for the pipe, it can lead to failure of the pipeline. A mathematical model is …
Published in Journal of Nuclear Engineering & Technology · Vol. 4, Issue 3, 2014 · pp. 29–43 Read article
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Numerical Investigation on Structural Behavior of RC Beam-Column Joints: Beam Weak in Shear
Abstract: This study presents a numerical investigation on structural performance of reinforced concrete (RC) beam-column joints (BCJ) with beam weak in shear subjected to cyclic loading. Retrofitting techniques are explored, utilizing Glass Fiber Reinforced Polymer (GFRP) for shear strengthening, in accordance with ductile detailing standards outlined in IS 13920:2016. The column and beam elements are designed following the guidelines of IS 456:2000. Various specimen scales, including full-scale, 2/3-scale, and 1/3-scale specimens, …
Published in Journal of Polymer & Composites · Vol. 12, Issue 5, 2024 · pp. 202–226 Read article
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Atmospheric Modeling: A Comprehensive Review of Numerical Approaches and Applications
Abstract: Atmospheric modeling plays a crucial role in understanding and predicting atmospheric processes, weather patterns, and climate variability. This review synthesizes current methodologies and applications across several types of atmospheric models, including numerical weather prediction (NWP), climate models, air quality models, and chemical transport models. We explore the intricacies of data assimilation, model evaluation, parameterization, and the importance of high-performance computing in advancing model accuracy and efficiency. Special emphasis is placed …
Published in International Journal of Atmosphere · Vol. 1, Issue 2, 2024 · pp. 16–21 Read article
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Numerical Investigation of Louvered Fins for Efficient Cooling of Automotive Engines
Abstract: Air cooled fins are designed to cool motorcycle engines or similar class of small vehicles bytransferring the heat to the air as it passes in-between the fins at high speed. The air circulation andfin geometry are interdependent, and improved air circulation leads to more efficient cooling. So, inthis study a parametric numerical investigation is conducted on a new conceptual design of air-cooled fins. Design parameters are set as: fin pitch, …
Published in Journal of Automobile Engineering and Applications · Vol. 8, Issue 1, 2021 · pp. 6–16 Read article
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Solidification of Brass Casting in Green Sand Mould: A Numerical and Experimental Study
Abstract: Casting which is also known as founding, is one of the earliest metal shaping methods. It means the pouring of molten metal into the refractory mould then allowing it to solidify. After solidification removing of part from the mould either by breaking the mould or ejecting the mould part. Present study has been focused on solidification of brass in green sand mould formulation. Two-dimensional heat conduction equation in cartesian co-ordinate …
Published in Journal of Mechatronics and Automation · Vol. 2, Issue 3, 2015 · pp. 24–30 Read article
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Numerical and Experimental aspects in two phase flow
Abstract: A complete numerical simulation of a bubble of lower density being introduced in fluid has been done. Transient finite volume used for the descritization of Navier Stokes equation and suitable boundary condition have been appiled to understand the dynamics of bubble.
Published in Journal of Refrigeration, Air conditioning, Heating and ventilation · Vol. 5, Issue 3, 2018 · pp. 7–16 Read article
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Numerical Investigation on Performance Analysis of Turmeric Curing Steam Generator
Abstract: In this paperarticle, an analysis of the on- field steam temperature produced in a plain tube- type turmeric curing steam generator and a numerically modified steam generator are is presented. The performance of the steam generator used to cure turmeric is studied using a numerical model. The numerical model is validated with on- field data of from a plain- tube type turmeric curing steam generator. The simulation results and on-field …
Published in Journal of Aerospace Engineering & Technology · Vol. 13, Issue 2, 2023 · pp. 11–19 Read article