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116 articles for “differential equation”
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Deductive Group Method for Heat Transfer of Gas Laminar Forced Convection Flow with Variable Physical Property
Abstract: The deductive group transformation technique is applied to derive invariant solutions for laminar forced convection flow having variable physical property. The one-parameter deductive group transformation reduces the number of independent variables by one and hence governing partial differential equation is reduced to ordinary differential equation with appropriate boundary condition. Resulting ordinary differential equation is solved using mathematical software and the results are graphically presented. From the graph, it is observed …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 2, 2019 · pp. 52–60 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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Modeling of MHD Hybrid Nanofluid Flow with Radiation and Chemical Reaction Effects for Advanced Composite and Energy Applications
Abstract: Hybrid nanofluids reinforced with polymer-based matrices and nanoparticles have emerged as promising working fluids for advanced composite processing and thermal management systems. Their superior thermo-physical properties enable efficient cooling and energy transport, making them suitable for applications in polymer extrusion, composite curing, thermal insulation coatings, solar energy devices, electronic packaging, and nuclear system cooling. In this study, we investigate the heat and mass transfer behavior of magnetohydrodynamic (MHD) hybrid nanofluid …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 648–660 Read article
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Non-linear Singular Integral Equations for Multiphase Flows in Petroleum Reservoir Engineering
Abstract: A very important problem of petroleum reservoir engineering is investigated by the present research. Consequently, an innovative and groundbreaking mathematical approach is introduced for the determination of the properties of the earth subsurface, when oil reserves together with water are moving through porous media. So, the multiphase flow problem of petroleum together with water is reduced to the solution of a non-linear singular integral equation, which is numerically solved by …
Published in Journal of Petroleum Engineering & Technology · Vol. 2, Issue 1-3, 2012 · pp. 73–82 Read article
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Uniform Beam Dynamics Under Exponentially Moving Load on Bi-paeametric Foundation with Time-dependent Boundary Effects
Abstract: This study investigates the problem of a uniform elastic beam subjected to exponentially varying moving load with time dependent boundary conditions. A complex structural dynamic problem that has very significant implications for various applications such as railway systems, bridge structures, industrial machinery will be addressed in this research. A damping term is built into the uniform beam model to give a more realistic picture of the structural behaviour, while the …
Published in Journal of Experimental & Applied Mechanics · Vol. 17, Issue 2, 2026 · pp. 53–64 Read article
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Fractional Calculus-Based Analysis of Magneto-Thermal Nanofluid Flow Over Stretching and Shrinking Surfaces
Abstract: This study presents a comprehensive investigation of magneto-thermal hybrid nanofluid flow over stretching and shrinking surfaces using a fractional calculus framework to capture the memory and hereditary characteristics of complex fluid transport phenomena. The proposed model incorporates the effects of magnetic field intensity, thermal radiation, viscous dissipation, Brownian motion, and thermophoretic diffusion on the velocity and temperature distributions within the boundary layer region. A fractional-order derivative formulation is employed to …
Published in Recent Trends in Fluid Mechanics · Vol. 13, Issue 2, 2026 · pp. 1–10 Read article
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Homogeneous and Heterogeneous Analysis of Water and Ethylene Glycol Based Cu Nano-particle
Abstract: The flow of heat in water Ethylene glycol (C2H6O2) copper based small size particles between two parallel freezing discs along with homogeneous and heterogeneous reactions are greatly and heavily affected by magnetic field. Here, I have considered Magnetic Hydro Dynamics effect perpendicular to the plane surface, while, bottom disk will be considered to be porous. The basic equations such as Navier-stokes, energy, Homogenous and Heterogonous reactions will be used for …
Published in Recent Trends in Fluid Mechanics · Vol. 9, Issue 3, 2022 · pp. 44–55 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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A Discrete Layer Shear Deformation Theory for Flexure of Thick Cross-ply Laminated Beams
Abstract: A discrete layer shear deformation theory taking into account transverse shear deformation effects, is presented for flexure of two layered (90/0) cross ply laminated beams. The displacement field of the theory contains two variables. Theory does not require shear correction factor. The sinusoidal function is used in the displacement field in terms of thickness coordinate to represent shear deformation. Transverse shear stress can be obtained from the use of constitutive …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 · pp. 1–16 Read article
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Harmonically Varying Moving Load on Time-Dependent Uniform Beam Resting on Pasternak Foundation
Abstract: In this paper, we investigated elastic beam whose properties does not varies with spatial coordinate but constant along the span L of the beam. The moving load considered in this work is harmonically varying moving load with non-classical boundary conditions, time dependent boundary conditions in particular. Also, considered in this work is two parameters foundation which are Winkler and Pasternak foundations. Closed form solutions in plotted form are obtained using …
Published in International Journal of Electro-Mechanics and Material Behaviour · Vol. 3, Issue 2, 2025 · pp. 38–47 Read article
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Evaluation of Coefficient of Performance of Water– Carrol Vapor Absorption Refrigeration System Using Artificial Neural Network approach
Abstract: Normal 0 false false false EN-US X-NONE X-NONE The aim of this work is to apply expert system methods, like artificial neural network (ANN), for evaluating the coefficient of performance (COP) of water-carrol (lithium bromide-ethylene glycol)-based vapor absorption refrigeration system. Theoretical performance analysis of vapor absorption refrigeration system is too complex since very tedious second-order mathematical differential equations are used. In order to simplify this complex process, artificial neural networks …
Published in Trends in Mechanical Engineering & Technology · Vol. 2, Issue 3, 2012 · pp. 29–37 Read article
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Static Flexure of Thick Fixed Beams Subjected to Cosine Loading using Refined Shear Deformation Theory
Abstract: The theory is developed to analyze the thick fixed beam considering the effect of transverse shear deformation. The important feature of this theory is that the transverse shear stresses can be obtained directly using constitutive relationship. While developing the theory the number of variables is kept same as that of first order shear deformation theory. As the theory satisfies the zero shear stress condition on the top and bottom of …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 2, 2016 · pp. 1–11 Read article
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An Application of Fractional Calculus in L-R and C-R Circuit
Abstract: In this paper, we proposed a Fractional differential equation for the electrical L-R and C-R Circuit and obtained the solution in the form of Mittag-Leffler function.Keywords: Circuit analysis, L-R and C-R circuit, Fractional differential equation, Riemann-Liouville Fractional derivative, Laplace transform, Inverse Laplace transform.Mathematical Subject Classification: -26A33, 33E12, 44A10Cite this Article: Laxmi Morya, Manoj Sharma, Rajshree Mishra. An Application of Fractional Calculus in L-R andC-R Circuit. Research & Reviews: Discrete Mathematical …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 14–17 Read article
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New Method for the Transient Analysis of Lines with Corona
Abstract: Abstract-- A new direct procedure for the transient analysis of overhead lines under corona is suggested.The governing partial differential equations are derived taking into consideration the possiblevariations in the line’s equivalent conductance and capacitance. A noniterative solution ofthese equations can be found in terms of interpolating functions resulting from a Mathematicacomputer code. The developed program can handle any time waveform of the sourcesinitiating the transients, any line length, design and …
Published in Journal of Power Electronics and Power Systems · Vol. 9, Issue 3, 2019 · pp. 1–9 Read article
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Development of an Endocrine Profiles Based Mathematical Model for the Estrous Cycle in Indian Crossbred CowsDevelopment of an Endocrine Profiles Based Mathematical Model for the Estrous Cycle in Indian Crossbred Cows
Abstract: Declined fertility of the high-yielding dairy cows reared under intensive condition of management is of great concern not only for India but for the whole world. The bovine estrous cycle, particularly the estrus, is tightly controlled by the complex interplay of various organs and hormones. Mathematical modeling of the bovine estrous cycle could help in understanding the dynamics of this complex biological system. The authors, therefore, developed a mechanistic mathematical …
Published in Research and Reviews : Journal of Veterinary Science and Technology · Vol. 4, Issue 3, 2015 · pp. 35–38 Read article
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The Frequency Characteristics of Transformer Windings Considering the Separation-Dependence of the Inter-Turn Mutual Parameters
Abstract: The paper presents a direct method for the determination of the frequency characteristics of transformer windings. The dependence of both the inter-turn mutual inductances and capacitances on the separation between these winding turns is taken into consideration. From measured data available in the literature, a formula for this dependence is derived. The voltage and current distributions along the winding will be governed by two integro-differential equations in terms of the …
Published in Journal of Power Electronics and Power Systems · Vol. 6, Issue 3, 2016 · pp. 72–81 Read article
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A Contribution to the Frequency and Transient Analysis of High Voltage Bushings
Abstract: The paper suggests a method for determining the frequency characteristics and transient response of capacitively graded high voltage bushings. It is based on an s-domain circuit model that describes the grading conducting foils and the insulating layers. In most cases, they are of different axial lengths. A system of simultaneous differential and algebraic equations is derived taking these differences into account. Its closed-form solution, subject to the boundary conditions, can …
Published in Journal of Power Electronics and Power Systems · Vol. 9, Issue 1, 2019 · pp. 15–26 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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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