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80 articles for “Differential Lines”
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Assessment of Diseases on Wheat Rusts Trap Nursery in Southern Ethiopia
Abstract: The rusts diseases caused by Puccinia, species are the major biotic constraints in many wheat producing areas of Ethiopia. The present study was conducted in 2015 and 2016 main growing season to observe commercial varieties and differential lines of bread and durum wheat for their resistance to the existing race composition. About 200 wheat varieties and lines were included in trap nursery for evaluation of triple rust was investigated under …
Published in Research & Reviews : Journal of Botany · Vol. 11, Issue 3, 2022 · pp. 27–37 Read article
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Optimal Homotopy Analysis Method (OHAM) For the Approximate Series Solution of Non-linear Partial Differential Equation
Abstract: In this article, we have used the Optimal Homotopy Analysis Method (OHAM), which is a basically semi-analytic method to solve differential equations. The ability for the user to choose the convergence control parameter, auxiliary linear operator, auxiliary function, and starting approximation is what sets apart the OHAM technique. We guaranteed the efficacy and efficiency of the procedure by fine-tuning the convergence control parameter. We solved a non-linear partial differential equation …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Group Technique for Boundary Layer Equations of Time-Dependent Power-Law Fluids Over Non-Isothermal Surface
Abstract: The multi-parameter group technique is developed to derive invariant solution for the system of non-linear partial differential equations governing unsteady, two-dimensional boundary layer flows over a heated surface of power-law fluids. The basic non-liner system of partial differential equations with three independent variables is converted into system of non-linear ordinary differential equation, by single application using proposed multiparameter group method. The numerical solution for the system of nonlinear ordinary differential …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 2, 2019 · pp. 61–68 Read article
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Differential Response by Rotenone on Human Trabecular Meshwork and HeLa Cell Lines
Abstract: Cellular response towards a particular stress condition is dependent on a number of factors including genetic makeup, microenvironmental factors, nutrient availability etc. Cells under same stress condition respond differentially and may exhibit pro-apoptotic or anti-apoptotic behavior. Two quite different cell lines—the cancerous cells of HeLa and the Human Trabecular Meshwork (HTM) cell line with very different microenvironmental requirements behave very differently towards oxidative insult due to rotenone. Study of their …
Published in Research and Reviews: A Journal of Toxicology · Vol. 5, Issue 2, 2015 · pp. 14–22 Read article
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One Dimensional Thermal Model for Heat Flow in Friction Stud Welding
Abstract: Friction stud welding is a solid-state process in which the heat for welding is produced by direct conversion of mechanical energy to thermal energy at the interface of the components without the application of electric energy or heat from other external sources. Since it is thermal energy process, study of thermal behavior of dissimilar metals during friction stud welding process is important. Though there exist many thermal models for friction …
Published in Journal of Thermal Engineering and Applications · Vol. 2, Issue 2, 2015 · pp. 22–27 Read article
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Computable Extension of New Advanced Fractional Kinetic Equation
Abstract: AbstractFirst, we obtain computable extensions of advanced fractional kinetic equation. The aim of this survey is to explore the behavior of physical and biological systems from the point of view of fractional calculus. Fractional calculus, integration and differentiation of an arbitrary or fractional order, provide new tools that expand the descriptive power of calculus beyond the familiar integer-order concepts of rates of change and area under a curve. Fractional calculus …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 26–32 Read article
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Enhancing Ship Roll Stabilization: Design of Active Fin Stabilizers Using Auto-Tuned PID Controllers
Abstract: The rolling motion of any type of mechanical system can be realized by the linear differential equation with some constant coefficient. In the domain of marine industries, it is observed that the stabilization of the ship’s roll motion is required due to the occurrence of the most unwanted water wave disturbances at the sea. It may cause serious types of damage to the equipment related to the ship. Active fin …
Published in Journal of Experimental & Applied Mechanics · Vol. 15, Issue 3, 2024 · pp. 18–31 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
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Thermal Modelling and Simulation of Brushless D.C. Motor for Electromechanical Actuation
Abstract: A lumped-parameter thermal model is described which provides both a steady-state and transient solution to the temperatures within an electrical machine. The model is sufficiently complex to identify the temperatures at most locations in the machine, including the peak temperatures in the end winding and the surface temperatures of the rotor. It is formulated out of purely dimensional information and constant thermal coefficients and is therefore easily adapted to a …
Published in Journal of Aerospace Engineering & Technology · Vol. 3, Issue 1, 2013 · pp. 16–28 Read article
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Nuclear Hulthén potentials for F and G partial waves
Abstract: In the past few decades, several investigation have been made and at the same time a number of theoretical models have also been projected for the nucleon-nucleon scattering in the low and intermediate energy range. These phenomenological models involve large number of free parameters to be fitted to reproduce the physical observables. In contrast to these potentials a two-term four parameter nuclear Hulthén type interaction is proposed to describe the …
Published in Research & Reviews : Journal of Physics · Vol. 10, Issue 2, 2021 · pp. 31–37 Read article
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Transport Phenomena of Hepatitis B with Special Reference to Jacobian Matrix in the Null Space
Abstract: A mathematical model representing the transmission dynamics of Hepatitis B virus was presented with system of non-linear differential equations which explain the interaction of Acute, Chronic, Recovered, Treatment, Vaccinated classes of the infection with another epidemiological parameter. The aim of this work is to carry out detailed sensitivity analysis of the model parameters. The disease-free equilibrium points and basic reproduction number of the cases were analyzed. Sensitivity analysis of R0 …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 1, 2022 · pp. 16–22 Read article
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The Electromagnetic Transients in Compensated High Voltage Power Lines
Abstract: This paper addresses the simulation of the transients developed in high voltage lines, which are initiated by lightning discharges. The analysis allows for compensated and uncompensated lines. Both the individual and simultaneous series inductive and shunt capacitive compensation types can be dealt with. The sizes and locations of the compensating elements are included in the analysis. Numerous studies on the transient concentrated stresses across these elements and the related protection …
Published in International Journal of Electrical Power and Machine Systems · Vol. 1, Issue 2, 2023 · pp. 1–8 Read article
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Analyzing The Electromagnetic Transients and Corona Performance of Long Overhead Lines with Multiple Tower Spans
Abstract: This paper addresses the simulation of the electromagnetic transients developed in an important class of non-uniform high voltage power lines. The resulting information is of paramount importance for the proper planning, design, operation and protection of electric power networks. It deals particularly with long overhead high voltage transmission lines composed of several tower spans which are connected in cascade. The presented approach considers eventually existing localized corona discharges at some …
Published in International Journal of Electrical and Communication Engineering Technology · Vol. 3, Issue 1, 2025 · pp. 35–44 Read article
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Development and Simulation of Non-Linear Gear Dynamics Model
Abstract: With the development of high-speed mechanical transmission, the dynamic characteristics of gear transmission require continuous improvement and more accurate prediction of the gear system dynamics becomes more and more important. The literature revealed that the gear pair transmission system is inherently non-linear which exhibits complex behavior and it is significant to study its vibration characteristics in detail and to analyze the influencing factors. A nonlinear dynamic model of gear transmission …
Published in Journal of Aerospace Engineering & Technology · Vol. 3, Issue 2, 2013 · pp. 11–16 Read article
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Time and Frequency Response of Non-uniform Overhead Lines Under Corona
Abstract: This study presents an efficient and direct technique for determining both the time and frequency responses of non-uniform overhead power transmission lines operating under corona conditions. The assumed-line's non-uniformity is due to the conductors’ sag. Expressions will be presented for the location-dependent line surge impedance and the unevenly distributed lines’ electrical parameters. The analysis starts with solving the relevant system of differential and algebraic equations, subject to the boundary conditions. …
Published in International Journal of Electrical Machine Analysis and Design · Vol. 2, Issue 2, 2024 · pp. 25–33 Read article
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Direct Determination of the Frequency-Dependent Transmission Constants of Non-Uniform Two-Port Networks
Abstract: Due to space constraints and the expansion of electricity networks, transmission lines that cross close to one another are now commonplace. Power networks also commonly install higher operational voltage lines that share transmission corridors with lower voltage lines. Overhead transmission lines are the primary method for transmitting electrical energy across vast distances. This paper presents an efficient and direct technique for identifying the four frequency-dependent ABCD transmission constants of arbitrary …
Published in Journal of Power Electronics and Power Systems · Vol. 14, Issue 3, 2024 · pp. 1–8 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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Winding Modification and Analysis of LVDT
Abstract: The LVDT (Linear Variable Differential Transformer) typically uses step-winding mode because it has an advantage such as simple construction and fewer layers of winding. The LVDT converts a location or linear movement from a reference standard (zero or null point) impulse with direction and distance information into a proportionate electrical field using the phase and amplitude components. To produce the output in full stroke, the core’s length must be more …
Published in International Journal of Solid State Innovations & Research · Vol. 2, Issue 2, 2024 · pp. 29–35 Read article
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Algebraic Foundations of AES (Advanced Encryption Standard): Group Theory and Finite Field Applications in Symmetric Cryptography
Abstract: This paper presents a mathematical study of symmetric cryptographic algorithms, with a particular emphasis on the Advanced Encryption Standard (AES), which is one of the most widely used encryption schemes in modern security applications. The study highlights how abstract mathematical frameworks such as group theory, finite fields, and vector space concepts provide the foundation for the design, implementation, and analysis of AES. By approaching the algorithm from a mathematical perspective, …
Published in Recent Trends in Mathematics · Vol. 2, Issue 1, 2025 · pp. 12–16 Read article
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UNANI FEATURES OF MIGRAINE (SHAQIQA): AN ASSESSMENT
Abstract: Episodic throbbing or rhythmic pain, sometimes on one side of the head is a type of a Migraine. As per the widespread report, Migraine is the third most prevalent disorder in the world.In Greek medicine, Migraine is referred to as shaqiqa received from an Arabic word ‘shaq’ means ‘half part’.According to Greek classical literature, migraine could be a disease caused either by Imtela (congestion) or akhlat (humor) or by vapors …
Published in Research & Reviews : A Journal of Unani, Siddha and Homeopathy · Vol. 9, Issue 3, 2022 · pp. 1–5 Read article