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Complex Analysis
Our idea of what a number is has evolved considerably throughout history. The ancients thought of numbers as extensions in space; we have looked at...
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Analysis of MHD Fluid Flow and Heat Transfer Inside an Inclined Deformable Filter Chamber: Lie Group Method
This paper investigates MHD fluid flow and distribution of heat inside a filter chamber during a process of filtering particles from the fluid. A...
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The unbalanced rotating cylinder partially filled with fluid; multiple scales analysis of a forced Korteweg–de Vries–Burgers equation
The paper is concerned with an unbalanced cylindrical rotor containing a small amount of fluid, spun out to form a thin layer on the inner surface of...
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On Waves on the Surface of an Unstable Layer of a Viscous Fluid Flowing Down a Curved Surface
AbstractWe consider the evolution of linear waves of small perturbations of an unstable flow of a viscous fluid layer over a curved surface. The...
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On One Class of Exact Solutions of the Navier–Stokes System of Equations for an Incompressible Fluid
AbstractA class of exact solutions of the system of Navier–Stokes equations corresponding to the vortex flow of an incompressible fluid in a cylinder...
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Explicit Numerical Algorithm for the Nonhydrostatic Fluid Dynamics Equations Based on the CABARET Scheme
AbstractThis article presents a nonhydrostatic model of the dynamics of a stratified slightly compressible fluid with a free surface. An explicit...
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Analysis of a Two-Fluid Taylor–Couette Flow with One Non-Newtonian Fluid
We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is...
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Galerkin-based quasi-smooth manifold element (QSME) method for anisotropic heat conduction problems in composites with complex geometry
The accurate and efficient analysis of anisotropic heat conduction problems in complex composites is crucial for structural design and performance...
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Fast Isogeometric Method for Fluid–Structure Interaction Simulation of Heart Valves with GIFT Framework
In order to improve the efficiency of heart valve simulation, we proposed a fast isogeometric simulation approach for time-dependent heart valve...
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A novel way for vibration control of FGM fluid-conveying pipes via NiTiNOL-steel wire rope
In this study, a coupling model of fluid-conveying pipes made of functionally graded materials (FGMs) with NiTiNOL-steel (NiTi-ST) for vibration...
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Numerical Investigation of Flow Dynamics of Williamson Fluid over an Expanding Cylinder/Plate in Presence of Homogeneous/Heterogeneous Reactions
The current research delves into exploring the effects of several factors, including reactions (homogeneous/heterogeneous), internal heat phenomena,...
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Thermal and Flow Properties of Jeffrey Fluid Through Prabhakar Fractional Approach: Investigating Heat and Mass Transfer with Emphasis on Special Functions
The core purpose of this work is the investigation, formulation and develop a mathematical model by dint of a new fractional modeling approach namely...
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On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics
We study a temporal step size control of explicit Runge-Kutta (RK) methods for compressible computational fluid dynamics (CFD), including the...
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Vibration of fluid-conveying pipe with nonlinear supports at both ends
The axial fluid-induced vibration of pipes is very widespread in engineering applications. The nonlinear forced vibration of a viscoelastic...
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Two-Dimensional Fluid Filtration Problems with Boundary Sources in an Anisotropic Inhomogeneous Layer
AbstractWe study the first and second boundary value problems and the transmission problem for the complex potential of a two-dimensional filtration...
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A Geometric Look at Momentum Flux and Stress in Fluid Mechanics
We develop a geometric formulation of fluid dynamics, valid on arbitrary Riemannian manifolds, that regards the momentum-flux and stress tensors as...
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Unconditionally Energy-Stable Finite Element Scheme for the Chemotaxis-Fluid System
In this paper, we first deduce an improved chemotaxis-fluid system by introducing a chemotactic stress force, which can be used to describe the...
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Optimization of the Movement of a Cylindrical Vibration-Driven Robot in a Viscous Fluid, Induced by Pendulum Oscillations of the Internal Mass
AbstractThe work is devoted to the study of the movement of a vibration-driven robot of a circular cross section in a viscous incompressible fluid,...
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Unique Solvability and Non-uniqueness in the Problem of Forward Motion of Bodies in a Two-Layer Fluid
The classical ship-wave problem, describing forward motion of rigid bodies with a constant speed in an unbounded heavy fluid having a free surface,...
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Neural Network Analysis for Bioconvection Flow of Casson Fluid Over a Vertically Extending Sheet
The aim of this article is to study the bioconvection flow of Casson fluid over a vertically stretching sheet. Applying similarity transformations,...
