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605 articles for “Navier–Stokes equation”
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The Molecular Structure of Chemical Compounds by using Quantitative Calculations in Chemistry
Abstract: Computational chemistry has its roots in the early attempts of theoretical physicists, beginning in 1928, to solve the Schrödinger equation using mechanical calculating machines. These calculations verified that the solutions of the Schrödinger equation quantitatively reproduced experimentally observed properties of simple systems such as the helium atom and the hydrogen molecule. These approximate solutions of larger systems and exact solutions of simple model problems allowed chemists and physicists to provide …
Published in Journal of Catalyst & Catalysis · Vol. 12, Issue 2, 2025 · pp. 01–08 Read article
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The Characteristics of Square-Well Fluid Transport Coefficients
Abstract: The transport coefficients of the hard-sphere system were first computed by Alder, providing foundational insight into the microscopic origins of viscosity, diffusion, and thermal conductivity in simple fluids. Building on this framework, Evans derived a generalized Langevin equation to describe the time evolution of dynamical variables, incorporating memory effects and non-Markovian behavior in molecular motion. These theoretical developments established a bridge between microscopic interactions and macroscopic transport properties. When an …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 3, 2025 · pp. 33–44 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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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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Algebraic Cloud Computing System
Abstract: AbstractAn algebraic cloud computing (ACC) is presented in this paper. The new algebraic equation is proposed over the finite field. This equation is applied to design a cloud model. The compact and generalized cloud models are presented based on the proposed equation. Simple parameter and fast formation are the additional advantage of the proposed model. Thus, this can be applied to design discrete cloud models for the discrete applications.Keywords: Algebraic …
Published in Current Trends in Signal Processing · Vol. 9, Issue 2, 2019 · pp. 6–9 Read article
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Analysis of Absorption System
Abstract: First law and second law analysis have been applied to different types of refrigeration systems which include vapor compression refrigeration system, desorber cycle and triple effect cycle. Quantitative analysis was applied and equations were solved in engineering equation solver. Energy and exergy equations were applied to each system and parametric analysis was applied to get results.
Published in Journal of Automobile Engineering and Applications · Vol. 7, Issue 1, 2020 · pp. 1–11 Read article
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Natural Convection Heat Transfer from Annular Step Fins and Annular Triangular Fins Fitted over a Vertical Cylinder
Abstract: AbstractNatural convection heat transfer from a vertical cylinder with annular step and triangular fins has been studied numerically at various Rayleigh numbers within the laminar range. The computations were carried at a constant fin spacing to tube diameter ratio of 1. In the current study, numerical simulations of Navier-Stokes equation in support with the energy equation are conducted for a vertical cylinder with annular step fins as well as triangular …
Published in Journal of Alternate Energy Sources & Technologies · Vol. 9, Issue 1, 2018 · pp. 20–27 Read article
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Numerical Analysis of Tube Fitted with Internal Baffles used in STHEx
Abstract: A numerical simulation was carried out for heat transfer in a circular tube fitted with rectangular internal baffles using CFD software. The Reynolds number and Prandtl number were varied in the range from 20 to 2000. In-house CFD solver is used for solving Navier-Stoke’s equation coupled with energy equation for internally fitted baffles as a computational domain. The baffles are attached alternately up and down equally spaced on the walls …
Published in Journal of Experimental & Applied Mechanics · Vol. 9, Issue 3, 2018 · pp. 46–54 Read article
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Analysis of Hydrodynamic Characteristics of a Squeeze Film in O-Ring Assembly Under the Oscillating Motion
Abstract: In the most of the non-contacting face seals, squeezing occurs in the fluid film between the O-ring surface and the mating surfaces in the gland assembly. Therefore, hydrodynamic characteristics are easily simulated by considering a fluid film between a rubber surface (O-ring surface) and a rigid surface (machined surface). In this paper, effects of surface roughness of rubber block on leakage flow rate and hydrodynamic force developed in fluid film …
Published in Journal of Experimental & Applied Mechanics · Vol. 6, Issue 2, 2015 · pp. 1–12 Read article
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Theoretical and Experimental Investigation of Non-linear Vibration Response of an IPMC Actuator Subjected to Alternating Electric Potentialf
Abstract: The precise predication of stable and unstable zone for an applied excitation voltage and frequency is of importance in many micromechanical systems utilizing ionic polymer metal composite (IPMC) as the actuator. A linear dynamic model thus will no longer be valid for IPMC actuator having low thickness and thus more flexible. In this article, non-linear vibration characteristics of a silver (Ag) based IPMC actuator is studied under alternating electric potential …
Published in Journal of Mechatronics and Automation · Vol. 1, Issue 1, 2014 · pp. 11–26 Read article
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On The Time-Domain Analysis of the Electromagnetic Transients in High-Voltage Line Towers
Abstract: This paper presents an efficient and direct method for the time-domain transient analysis of high voltage power line towers. A Mathematica-based numerical solution of the governing set of simultaneous partial differential and algebraic equations is proposed. The results of a corresponding computer code are presented and discussed. A comparison with other more sophisticated analytical time-and Laplace-domain approaches is presented. In addition to the possible use of the EMTP transients’ program, …
Published in Journal of Nuclear Engineering & Technology · Vol. 13, Issue 2, 2023 · pp. 12–20 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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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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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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Analysis of Partially Infilled Frames
Abstract: The design of building structures is usually carried out without considering the effect of masonry infill. Currently, seismic design codes (Eurocode 8-Part 1, ASCE 41-06) contain provisions for the calculation of stiffness of fully infilled frames mainly by modelling infill as a diagonal strut. However, such provisions are not provided for infilled frames with openings. The main objective of the study was to validate the equations relating the lateral stiffness …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 1, 2016 · pp. 1–6 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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Defining Regression Polynomials with Process Similarity Criteria
Abstract: Highly accurate monitoring and prediction is essential in detecting abnormality events and forecasting demands in supply chains. This investigation provides a computational procedure for defining polynomials that satisfy similarity criteria in the monitoring process for a polynomial of any degree. It provides an example of using algorithms to predict transient thermal processes in electronic devices. The second-degree polynomial defined with this algorithm is compared with a polynomial defined using a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 13–20 Read article
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Implementation of Load Flow Analysis using NR method
Abstract: Load flow studies are one of the most important aspects of power system analysis and design. This paper presents an optimal analysis technique for load flow analysis using Newton Raphson Algorithm for solving set of nonlinear equations. The main objective of load flow analysis is to evaluate the magnitude and phase angle of voltage at each bus as well as real and reactive power flowing in each transmission line. For …
Published in Journal of Advancements in Robotics · Vol. 2, Issue 3, 2015 · pp. 8–13 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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Fluid Flow Analysis and Flow Path Optimization of a Centrifugal Fuel Injector for a Turboshaft Aero Engine
Abstract: The present work of optimization is made for specific dimensions of a rotary fuel injector used in two of the high-performance defense helicopter’s gas turbine engines, presently. The need for doing this study is to meet the thermal design requirements of limiting the combustion chamber temperatures to an optimum designed value which heavily depends on finely divided homogeneous droplet sizes, the SMD (Sauter Mean Diameter) of the fuel that is …
Published in Recent Trends in Fluid Mechanics · Vol. 4, Issue 1, 2017 · pp. 22–27 Read article