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Related papers: Optimal heat transfer enhancement in plane Couette…

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The divergence-free time-independent velocity vector field has been determined so as to maximise heat transfer between two parallel plates of a constant temperature difference under the constraint of fixed total enstrophy. The present…

Fluid Dynamics · Physics 2018-08-03 Shingo Motoki , Genta Kawahara , Masaki Shimizu

We study heat transfer in plane Couette flow laden with rigid spherical particles by means of direct numerical simulations using a direct-forcing immersed boundary method to account for the dispersed phase. A volume of fluid approach is…

Fluid Dynamics · Physics 2016-11-08 Mehdi Niazi Ardekani , Omid Abouali , Francesco Picano , Luca Brandt

The vertical heated-pipe is widely used in thermal engineering applications, as buoyancy can help drive a flow, but several flow regimes are possible: shear-driven turbulence, laminarised flow, and convective turbulence. Steady velocity…

Fluid Dynamics · Physics 2025-09-24 Shijun Chu , Elena Marensi , Ashley P. Willis

We find steady channel flows that are locally optimal for transferring heat from fixed-temperature walls, under the constraint of a fixed rate of viscous dissipation (enstrophy = $Pe^2$), also the power needed to pump the fluid through the…

Fluid Dynamics · Physics 2017-05-12 Silas Alben

Gradient ascent methods are developed to compute incompressible flows that maximize heat transport between two isothermal no-slip parallel walls. Parameterizing the magnitude of velocity fields by a P\'eclet number $\text{Pe}$ proportional…

Fluid Dynamics · Physics 2020-04-13 Andre N. Souza , Ian Tobasco , Charles R. Doering

Motivated by the search for sharp bounds on turbulent heat transfer as well as the design of optimal heat exchangers, we consider incompressible flows that most efficiently cool an internally heated disc. Heat enters via a distributed…

Analysis of PDEs · Mathematics 2022-05-26 Ian Tobasco

A heat exchanger can be modeled as a closed domain containing an incompressible fluid. The moving fluid has a temperature distribution obeying the advection-diffusion equation, with zero temperature boundary conditions at the walls.…

Fluid Dynamics · Physics 2018-02-23 Florence Marcotte , Charles R. Doering , Jean-Luc Thiffeault , William R. Young

The mathematical formulation, basic concept and numerical implementation of a new meshless method for solving three dimensional fluid flow and related heat transfer problems are presented in this paper. Moving least squares approximation is…

Computational Physics · Physics 2018-09-10 Cheng-An Wang , Hamou Sadat , Christian Prax

The Navier-Stokes-Fourier model for a 3D thermoconducting viscous fluid, where the evolution equation for the temperature T contains a term proportional to the rate of energy dissipation, is investigated analitically at the light of the…

Fluid Dynamics · Physics 2009-11-07 V. Grassi , R. A. Leo , G. Soliani , P. Tempesta

In recent years, scale-by-scale energy transport in wall turbulence has been intensively studied, and the complex spatial and interscale transfer of turbulent energy has been investigated. As the enhancement of heat transfer is one of the…

Fluid Dynamics · Physics 2022-06-01 Takuya Kawata , Takahiro Tsukahara

In this paper we have studied the flow and heat transfer in a viscous fluid by a horizontal sheet. The stretching rate and temperature of the sheet vary with time. The governing equations for momentum and thermal energy are reduced to…

Fluid Dynamics · Physics 2015-05-22 Remus-Daniel Ene , Vasile Marinca , Bogdan Marinca

This work focuses on determining the coefficient of thermal diffusivity in a one-dimensional heat transfer process along a homogeneous and isotropic bar, embedded in a moving fluid with heat generation. A first type (Dirichlet) condition is…

Fluid Dynamics · Physics 2022-01-03 Guillermo Federico Umbricht , Diana Rubio

We compute steady planar incompressible flows and wall shapes that maximize the rate of heat transfer (Nu) between and hot and cold walls, for a given rate of viscous dissipation by the flow (Pe$^2$). In the case of no flow, we show…

Fluid Dynamics · Physics 2023-09-29 Silas Alben

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

The present study numerically explores the mixed convection phenomena in a differentially heated ventilated square cavity with active flow modulation via a rotating plate. Forced convection flow in the cavity is attained by maintaining an…

We consider the problem of optimizing heat transport through an incompressible fluid layer. Modeling passive scalar transport by advection-diffusion, we maximize the mean rate of total transport by a divergence-free velocity field. Subject…

Analysis of PDEs · Mathematics 2019-09-18 Charles R. Doering , Ian Tobasco

We propose a numerical approach for solving conjugate heat transfer problems using the finite volume method. This approach combines a semi-implicit scheme for fluid flow, governed by the incompressible Navier-Stokes equations, with an…

Numerical Analysis · Mathematics 2025-03-18 Liang Fang , Xiandong Liu , Lei Zhang

We generalize a recent method for computing optimal 2D convection cooling flows in a horizontal layer to a wide range of geometries, including those relevant for technological applications. We write the problem in a conformal pair of…

Fluid Dynamics · Physics 2017-04-05 Silas Alben

Nonlinear interaction between different scales in turbulence results in both interscale and spatial transport of turbulent energy, and the role of such scale interactions in turbulent heat transfer mechanism is also of practical importance…

Fluid Dynamics · Physics 2022-08-10 Takuya Kawata , Takahiro Tsukahara

Heat exchangers are devices that typically transfer heat between two fluids. The performance of a heat exchanger such as heat transfer rate and pressure loss strongly depends on the flow regime in the heat transfer system. In this paper, we…

Computational Engineering, Finance, and Science · Computer Science 2020-05-19 Hiroki Kobayashi , Kentaro Yaji , Shintaro Yamasaki , Kikuo Fujita
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