Cruising speed of a cylindrical wing performing small translational-rotational oscillations by A.N. Nuriev

“…The problem of harmonic translational-rotational oscillations of the wing with an arbitrary phase shift in a viscous incompressible fluid, the motion of which is described by the non-stationary Navier–Stokes equation, is handled. …”
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A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal Conductivity by S. Shateyi, G. T. Marewo

“…The study presents an axisymmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer over a stretching cylinder embedded in a porous medium. …”
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Controllability of a fluid-structure interaction system coupling the Navier–Stokes system and a damped beam equation by Buffe, Rémi, Takahashi, Takéo

“…We show the local null-controllability of a fluid-structure interaction system coupling a viscous incompressible fluid with a damped beam located on a part of its boundary. …”
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Numerical analysis of the influence of liquid on propagation of a rolling contact fatigue crack by M. Olzak, J. Piechna Warsaw, P. Pyrzanowski

“…In the second model it has been assumed that the crack is filled by the viscous, incompressible fluid and the fluid motion as well as the resulting pressure distribution can be represented by one-dimensional form of the Reynolds equation. …”
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Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation by Mohammad Nezami, Mohammad Mehdi Mohammadi, Atta Oveisi

“…The tube-type tank is filled with inviscid incompressible fluid up to its half depth and subjected to lateral accelerations. …”
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Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet by Nabil Eldabe, Mahmoud Abu Zeid

“…The motion of the viscous, incompressible fluid through a porous medium with heat and mass transfer over a shrinking sheet is investigated. …”
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Modeling and Simulation in Engineering Modeling of the Electrocoagulation Processes in Nonisothermal Conditions by Andrii Safonyk, Olena Prysiazhniuk

“…The paper suggests an approach to modeling the electrocoagulation process that is based on the generalization of the equations of incompressible fluid flow in nonisothermal conditions. In the model was taking into account the ratio between the values of the parameters which characterize the domination of convective and mass-exchange components of the process over diffusion. …”
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Similarity Requirements for Mixed Convective Boundary Layer Flow over Vertical Curvilinear Porous Surfaces with Heat Generation/Absorption by Kh. Abdul Maleque

“…Similarity requirements for an incompressible fluid are sought on the basis of detailed analyses in order to reduce the governing partial differential equations into a set of ordinary differential equations. …”
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Unbounded-energy solutions to the fluid+disk system and long-time behavior for large initial data by Ferriere, Guillaume, Hillairet, Matthieu

“…In this paper, we analyse the long-time behavior of solutions to a coupled system describing the motion of a rigid disk in a 2D viscous incompressible fluid. Following previous approaches in [4, 15, 17] we look at the problem in the system of coordinates associated with the center of mass of the disk. …”
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MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate by Mohammad M. Rashidi, Mohammad Ferdows, Amir Basiri Parsa, Shirley Abelman

“…We apply the one parameter continuous group method to investigate similarity solutions of magnetohydrodynamic (MHD) heat and mass transfer flow of a steady viscous incompressible fluid over a flat plate. By using the one parameter group method, similarity transformations and corresponding similarity representations are presented. …”
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Online Projective Integral with Proper Orthogonal Decomposition for Incompressible Flows Past NACA0012 Airfoil by Sirod Sirisup, Montri Maleewong

“…The present method is applied to simulate two-dimensional incompressible fluid flows past the NACA0012 airfoil problem. …”
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Numerical Analyses of Static Characteristics of Liquid Annular Seals Based on 2D LBM-LES Model by Zhenjie Zhang, Lulu Zhai, Jia Guo, Zuchao Zhu, Guoyou Chen

“…In this paper, a two-dimensional (2D) mathematical model for predicting the leakage flow rates and static characteristics of liquid seal is established, based on the lattice Boltzmann method (LBM) combined with the D2G9 velocity model for incompressible fluid and large eddy simulation (LES) turbulence model, in which the transformation equation of reference pressure is developed with the Bernoulli equation. …”
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Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel by Mohammed H. Kamel, Islam M. Eldesoky, Bilal M. Maher, Ramzy M. Abumandour

“…Peristaltic pumping induced by a sinusoidal traveling wave in the walls of a two-dimensional channel filled with a viscous incompressible fluid mixed with rigid spherical particles is investigated theoretically taking the slip effect on the wall into account. …”
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Simulation of the Advection Process of Stokes Flow Inside a Rectangular Cavity Under Constant Velocities by Valentyn Sobchuk, Oleksandr Kurylko, Oleksandr Boryseiko, Oleh Perehuda, Iryna Lebedyeva, Igor Ulitko, Olena Vashchilina

“…A two-dimensional periodic Stokes flow of viscous incompressible fluid in a rectangular cavity with constant velocities applied to the top and bottom walls is considered. …”
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Transient development of gravity waves for two layered fluids by A. H. Essawy, M. S. Faltas

“…The transient gravity waves generated by a harmonically oscillating wave maker immersed in two incompressible fluids, the upper fluid having a free surface, is considered. …”
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Higher-Order Equations of the KdV Type are Integrable by V. Marinakis

“…We show that a nonlinear equation that represents third-order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with an integrable equation which has recently appeared in the literature. …”
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Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation by B. N. Mandal, R. N. Chakrabarti

“…Velocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of the fluids, whose strength, besides being harmonic in time, varies sinusiodally along its length. …”
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Fully Discrete Finite Element Approximation for the Stabilized Gauge-Uzawa Method to Solve the Boussinesq Equations by Jae-Hong Pyo

“…In this paper, we apply the SGUM to the evolution Boussinesq equations, which model the thermal driven motion of incompressible fluids. We prove that SGUM is unconditionally stable, and we perform error estimations on the fully discrete finite element space via variational approach for the velocity, pressure, and temperature, the three physical unknowns. …”
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Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“…The mathematical framework encompasses the Schrödinger equation for incompressible fluids, the heat transfer equation, and introduces a term that represents the thermal influence of an immersed isothermal geometry. …”
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Navier-Stokes: Singularities and Bifurcations by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“… This article presents substantial advances in the analysis of the Navier-Stokes equations for both compressible and incompressible fluids, focusing on the formation of singularities, hypercomplex bifurcations, and regularity in Sobolev and Besov spaces. …”
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