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258 articles for “Difference equations”
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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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Dynamic Modelling of Natural Draft Cooling Tower (Case Study of Notore Chemical Company)
Abstract: Determining the impact of air, water, and temperature flow rates on the cooling tower of Notore Chemical Industries is the aim of this study. Using a dynamic and simulation model derived from fundamental ideas, this study produced a model equation for an ordinary differential equation. The Runge-Kulta ODE45 technique, which was implemented in MATLAB R2022A, was then used to solve the model equation.The twenty-four-hour simulation runs at one-hour intervals. To …
Published in Journal of Petroleum Engineering & Technology · Vol. 13, Issue 3, 2023 · pp. 18–24 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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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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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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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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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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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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Shock Response Spectrum and Its Damage Potential: An Application to Launch Vehicle Structures
Abstract: The present work briefly summarizes the analysis of pyrotechnic shocks encountered in launch vehicle structures using the shock response spectrum (SRS) and the pseudo velocity shock response spectrum techniques. The mathematical idealization assumes a single degree of freedom (SDOF) system model with base excitation. The mounting elements of SDOF system are assumed to be flexible and each mounting element can be described by its stiffness and damping parameters. The convolution …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 1, Issue 1-3, 2012 · pp. 67–80 Read article
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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
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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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Electromagnetic Transients in Strongly Non-Uniform Overhead High Voltage Lines
Abstract: This paper addresses the electromagnetic transients in high strongly non-uniform overhead voltage lines. For their simulation, a novel Laplace-domain approach has been introduced. The voltage and current patterns in terms of location and complex frequency are determined by a set of simultaneous algebraic and partial differential equations. To solve them numerically, an effective Mathematica code is proposed. By contrasting the outcomes of their application to multiple case studies with those …
Published in Journal of Power Electronics and Power Systems · Vol. 15, Issue 1, 2025 · pp. 30–36 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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Physics-Informed Neural Networks for Multiphysics Analysis of Biomedical Polymer Composite Systems
Abstract: Physics-Informed Neural Networks (PINNs) offer an effective model of solving coupled multiphysics equations in biomedical polymer composite systems, which are data-driven. In the given work, the PINN method is presented where equations of elasticity, mass diffusion, and heat transfer are integrated to model the complex processes that take place in composite biomaterials. The neural network loss is specified to include the governing partial different equations which enables both the system …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 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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New Solution Technique for the Frequency and Transient Response of Transformer Windings with All Inter-Turn Mutual Inductances and Capacitances Included
Abstract: This paper addresses the frequency response, the identification of the resonance frequencies as well as the transient response of transformer windings taking into account all possible inter-turn mutual inductances and capacitances. The mutual inductances and capacitances between any turn to all other turns, i.e. not only the immediately adjacent ones, are considered. The analysis starts with writing the set of simultaneous differential equations relating the currents and voltages within the …
Published in Trends in Electrical Engineering · Vol. 3, Issue 1, 2013 · pp. 22–41 Read article