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116 articles for “differential equation”
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Mass Transfer Process between The Fluid Flow and An Active Cylinder In Cross Flow
Abstract: This paper presents a theoretical and numerical analysis applies to a cylinder in cross flow that is large in comparison with the inert particles, so that the bed may be treated as a continuum. Fluid flow in the packed bed around the cylinder in cross flow was assumed to follow Darcy’s law and the partial differential equation (PDE), resulting from a differential material balance on the solute, was analysed numerically …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 1, 2014 · pp. 6–15 Read article
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Fuzzy Logic and Fuzzy Logic Sun Tracking Control
Abstract: Fuzzy logic could be a rule-based call method that seeks to unravel issues wherever the system is tough to model and where ambiguity or unclearness is thick between two extremes. Mathematical logic permits the system to be outlined by logic equations instead of complicated completely differential equations and comes from a thinking that identifies and takes advantage of the greyness between the 2 extremes. Mathematical logic systems are composed of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 3, 2021 · pp. 9–19 Read article
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Coupled Magneto–Thermal–Diffusion Transport in an Unsteady Maxwell Polymer Fluid with Activation Energy over a Porous Stretching Surface
Abstract: The present study investigates the combined effects of activation energy and diffusion-thermo (Dufour) processes on unsteady magnetohydrodynamic (MHD) flow, heat, and mass transfer of a Maxwell viscoelastic fluid past a porous exponentially stretching vertical sheet. The electrically conducting and incompressible polymeric fluid flows through a saturated porous medium under a transverse magnetic field. The governing momentum, energy, and concentration equations are transformed into nonlinear ordinary differential equations using similarity transformations …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 581–590 Read article
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Modeling and Simulation of Radiative MHD Casson-Type Polymer Composite Flow over a Porous Wedge with Variable Thermal Source and Sink
Abstract: This study presents a numerical investigation of the radiative magnetohydrodynamic (MHD) flow and heat transfer characteristics of a Casson-type polymer fluid over a moving and extending porous wedge under the influence of a spatially varying heat source and sink. The Casson fluid model, representing a class of viscoplastic polymeric materials, is analyzed within the MHD framework to explore the combined effects of magnetic field intensity, rheological behavior, and porous medium …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 837–850 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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MODELLING OF SOLID DESICCANT DEHUMIDIFIER WHEEL
Abstract: Abstract Desiccant cooling system performance, its energy saving potentials, its modelling techniques have subject of intense interests for HVAC Engineers. These systems have yielded number of system designs and simulation methods for cooling methods. The heat and mass transfer phenomenon, governing equation for Desiccant dehumidifier wheels are elaborated in details. The mathematical modelling of desiccant wheel is required to increase its performance by using novel designs at low regeneration temperatures. …
Published in Journal of Refrigeration, Air conditioning, Heating and ventilation · Vol. 3, Issue 2, 2016 · pp. 49–60 Read article
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Electromagnetic Transients and Frequency Characteristics of a Loaded Horizontal Conductor above Lossy Earth
Abstract: This paper addresses the electromagnetic transients and the frequency characteristics of a thin conductor horizontally suspended above lossy earth. The analysis takes into consideration the receiving-end termination and the earth parameters. The effect of the ground return is represented by incorporating the concept of the complex penetration depth in the formulation of the line’s equations in the s-domain. The resulting simultaneous differential equations governing the voltage and current are solved …
Published in Journal of Power Electronics and Power Systems · Vol. 8, Issue 1, 2018 · pp. 29–41 Read article
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Electro-viscous effect on rotating disk flow with variable physical properties
Abstract: In this study, investigate are made for an unsteady flow across a rotating disk with various physical parameters. Consider the movement of a viscous fluid across a three-dimensional disk. The major goal of the current mathematical form is to look at the behavior of an ionic convey electrically viscous flow of boundary layer on a spinning disk with different physical characteristics. To mimic ionic species conservation, the Poisson equation and …
Published in Recent Trends in Fluid Mechanics · Vol. 9, Issue 3, 2022 · pp. 1–11 Read article
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Advanced Computable Extension of New Fractional Kinetic Equation
Abstract: AbstractThe aim of this work is to find advanced computable extension of kinetic equation with fractional calculus approach. Fractional calculus originated in 1695, shortly after the inversion of classical calculus. The pioneer researchers who studied it were Liouville, Riemann, Leibniz, etc. For a long time, fractional calculus has been regarded as a pure mathematical area without applications. But, in recent decades, such type of synergism has been changed. It has …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 74–80 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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Thermal Response of Thick Beam Subjected to Thermo-mechanical Loads by Using HyperbolicShear Deformation Theory
Abstract: In this paper, a hyperbolic shear deformation theory (HPSDT) taking into account transverse shear deformation effect is presented for thermo-mechanical stress analysis of thick isotropic beam subjected to thermo-mechanical. The displacement field contains two variables. The hyperbolic sine and cosine function is used in the displacement field in terms of thickness Co-ordinate to represent the effect of shear deformation. The most important feature of the theory is that, the transverse …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 3, 2016 · pp. 22–30 Read article
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Electromagnetic Transients of a Sagging Conductor above Lossy Earth—Effect of its Loading and of the Earth Parameters
Abstract: This paper addresses the electromagnetic transients of a non-uniform overhead transmission line conductor with due consideration of its receiving-end load, its sag and of the earth parameters. The concept of the complex penetration depth is adopted in the formulation of the line’s equations in the s-domain. A relation for the conductor height as a function of the longitudinal co-ordinate is derived and incorporated in the analysis. The two simultaneous differential …
Published in Journal of Power Electronics and Power Systems · Vol. 7, Issue 3, 2017 · pp. 47–59 Read article
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Fractional Free Electron Laser Equation and K-Function
Abstract: AbstractIn this era, fractional free electron laser (FEL) equations are studied due to their utility and importance in mathematical physics and engineering. The aim of present paper is to find the solution of generalized fractional order free electron laser (FEL) equation, using K-function. The results obtained here are moderately universal in nature. Special cases, relating to the exponential function are also considered. The special functions were introduced in 18th century …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 17–20 Read article
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Study of Phase Velocity and Magneto Plasmon Dispersion on the Surface of Carbon Nanotubes in Low Energy State
Abstract: Several authors have worked on theoretical and experimental plasmon excitations. The researchers have been studying the dispersion relation of magneto plasmon in the low energy state on a cylindrical surface of carbon nanotube obtained with the help of linear-angular momentum transfer. Here, we demonstrate the Dirac-like Hamiltonian equation for carbon nanotubes in the presence and absence of a parallel applied magnetic field. We assume the cylindrical carbon nanotube is infinitesimally …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 3, 2022 · pp. 21–25 Read article
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Higher Order Sliding Controller Parameter Determining Method: A Research
Abstract: In this paper, it is generally believed that sliding switching surfaces should reflect the design parameters of the system in variable structure control, and the control characteristics are the way to constrain the state on sliding switching surfaces. In the literature, classical sliding (primary sliding) is considered that sliding-switching surface is the same as the characteristic equation of the closed-loop system, and the design of the control system is reflected …
Published in Trends in Electrical Engineering · Vol. 14, Issue 2, 2024 · pp. 51–66 Read article
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CFD Analysis of Six-Flow Microchannel Heat Sink Using the Different Nanofluid
Abstract: In this study, we compare the heat-conveying capabilities of ordinary water with those of cooling fluids such as Ag-Water, TiO2-water, and Al2O3-water nanofluid at a volume percentage of 0.50%, and we also examine the six flow micro-channels of the fin-equipped heat sink. Hardware like microprocessors and integrated circuits are not used in the comparison. To evaluate the effectiveness of different cooling fluids, a number of thermal metrics are used, such …
Published in Journal of Polymer & Composites · Vol. 11, Issue 11, 2023 · pp. 1–11 Read article
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Animated Transient Response of High Voltage Power Line Towers Equipped with Nonlinear Footing Resistances
Abstract: This study focuses, among other objectives, on the use of animation techniques for visualizing the electromagnetic transients in high voltage power line towers. The model includes parameters such as the tower’s footing resistance and its location-dependent surge impedance. It describes the governing algebraic/partial differential equations expressed in terms of the current and voltage distributions as functions of time and location. The transients are assumed initiated by a lightning discharge of …
Published in Trends in Electrical Engineering · Vol. 14, Issue 1, 2024 · pp. 44–52 Read article
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Strategic Solutions: How Mathematics Reshapes Industrial Landscapes
Abstract: One of the earliest and most fundamental fields of the physical sciences is mathematics. It has a significant impact on industrial enterprises' bottom lines and enhances their performance in the current data-driven market. One subfield of applied mathematics is industrial mathematics. It concentrates on issues that arise in the industry and seeks answers that are pertinent to the sector. The use of mathematical models and techniques to diverse industry difficulties …
Published in International Journal of Industrial and Product Design Engineering · Vol. 2, Issue 1, 2024 · pp. 16–23 Read article
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A Journey through Fixed Points and Non-expansive Mappings
Abstract: Fixed points in non-expansive mappings are elements that remain unchanged under the action of the mapping. Non-expansive mappings preserve or contract distances in a metric space. The rigorous proof of the Banach fixed-point theorem is presented at the outset of the paper, highlighting its fundamental significance. According to this theorem, every contraction mapping (a particular kind of non-expansive mapping that strictly reduces distances) has a single fixed point in a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 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