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The problem of disturbed flow in the laminar boundary layer is investigated when a heating element is located on the surface of the body. The flow is supposed to be laminar one. It is shown that the problem may be solved in terms of free…

Fluid Dynamics · Physics 2011-10-13 M. V. Koroteev , I. I. Lipatov

The effects of MHD boundary layer flow of non-linear thermal radiation with convective heat transfer and non-uniform heat source/sink in presence of thermophortic velocity and chemical reaction investigated in this study. Suitable…

Fluid Dynamics · Physics 2017-02-08 Shalini Jain , Rakesh Choudhary

We investigate the effective coupling between heat and fluid dynamics within a thin fluid layer in contact with a solid structure via a rough surface. Moreover, the opposing vertical surfaces of the thin layer are in relative motion. This…

Analysis of PDEs · Mathematics 2026-04-17 Tom Freudenberg , Michael Eden

We consider a boundary-value problem describing the steady motion of a two-component mixture of viscous compressible heat-conducting fluids in a bounded domain. We make no simplifying assumptions except for postulating the coincidence of…

Analysis of PDEs · Mathematics 2017-10-19 Alexander Mamontov , Dmitriy Prokudin

The full MHD equations, governing the flow due to the axisymmetric stretching of a sheet in the presence of a transverse magnetic field, can be cast in a self similar form. This allows evaluation of the induced magnetic field and its effect…

Fluid Dynamics · Physics 2018-03-28 Tarek M. A. El-Mistikawy

This study investigates the effect of compliant walls on the turbulent heat transfer in channel flows over viscous-hyperelastic walls. We perform Direct Numerical Simulations, fully resolving the mutual fluid-structure interactions between…

Fluid Dynamics · Physics 2026-04-02 Morie Koseki , Marco Edoardo Rosti

We study the model of a partially directed flexible or semi-flexible homopolymer on a square lattice, subject to an externally applied force, in a direction either parallel to, or perpendicular to the preferred direction. The polymer is…

Statistical Mechanics · Physics 2015-05-19 Pui-Man Lam , Yi Zhen

Polymers are widely used in industry and in our daily life because of their diverse functionality, light weight, low cost and excellent chemical stability. However, on some applications such as heat exchangers and electronic packaging, the…

Materials Science · Physics 2018-05-16 Congliang Huang , Xin Qian , Ronggui Yang

The interaction of vortical structures with boundaries has been extensively studied in Newtonian fluids, where conditions such as no slip walls, free surfaces, or contaminated surfaces dictate whether vortices rebound, dissipate, or…

We investigate the driven polymer translocation through a nanometer-scale pore in the presence and absence of hydrodynamics both in good and bad solvent. We present our results on tension propagating along the polymer segment on the…

Biological Physics · Physics 2016-09-21 Jaakko E. Moisio , Joonas Piili , Riku P. Linna

Many environmental flows arise due to natural convection at a vertical surface, from flows in buildings to dissolving ice faces at marine-terminating glaciers. We use three-dimensional direct numerical simulations of a vertical channel with…

Fluid Dynamics · Physics 2023-06-22 Christopher J. Howland , Chong Shen Ng , Roberto Verzicco , Detlef Lohse

This paper is devoted to studying the inflow problem for an ideal polytropic model with non-viscous gas in one-dimensional half space. We showed the existence of the boundary layer in different areas. By employing the energy method, we also…

Analysis of PDEs · Mathematics 2018-06-01 Meichen Hou , Lili Fan

We study traveling wave solutions to the free boundary problem associated to a generalized Navier-Stokes Fourier system, which models a viscous, incompressible, heat-conducting fluid. The fluid is assumed to occupy a horizontally infinite…

Analysis of PDEs · Mathematics 2026-03-24 Jae Ho Choi , Ian Tice

This paper is divided into three parts. The first part focuses on periodic layer heat potentials, demonstrating their smooth dependence on regular perturbations of the support of integration. In the second part, we present an application of…

Analysis of PDEs · Mathematics 2023-11-30 Matteo Dalla Riva , Paolo Luzzini , Riccardo Molinarolo , Paolo Musolino

In this paper we present a new kind of boundary layer flow produced by an electromagnetic Lorentz force which acts parallel to the plate in an electrically conductive fluid. The plate is motionless and the ambient fluid stagnant. This flow…

Fluid Dynamics · Physics 2007-05-23 Asterios Pantokratoras

We perform direct numerical simulations of rotating Rayleigh--B\'enard convection of fluids with low ($Pr=0.1$) and high ($Pr=5$) Prandtl numbers in a horizontally periodic layer with no-slip top and bottom boundaries. At both Prandtl…

This article presents a theoretical analysis of a one-dimensional heat transfer problem in two layers involving diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, and heat generation due…

Fluid Dynamics · Physics 2024-10-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

In this paper, we focus on the study of heat transfer behavior for the dual-phase-lag heat conduction model, which describes the evolution of temperature in a two-dimensional rectangular plate caused by the activity of a point heat source…

Analysis of PDEs · Mathematics 2023-08-22 Kaiyuan Chen , Zhicheng Hu

This study numerically investigates heat transfer enhancement in laminar, incompressible viscoplastic nanofluid flow through the entrance region of a circular cylinder with a uniformly heated wall, including the effects of both,…

Fluid Dynamics · Physics 2026-04-08 Deepa Madivalar , Vishwanath Kadaba Puttanna , A Kandasamy

We investigate the two-dimensional transport of heat through viscous flow between two parallel rough interfaces with a given fractal geometry. The flow and heat transport equations are solved through direct numerical simulations, and for…

Statistical Mechanics · Physics 2009-11-10 J. S. Andrade , E. A. Henrique , M. P. Almeida , M. H. A. S. Costa
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