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We consider laminar forced convection in a shrouded longitudinal-fin heat sink (LFHS) with tip clearance, as described by the pioneering study of Sparrow, Baliga and Patankar [1978, J. Heat Trans, 100(4)]. The base of the LFHS is isothermal…

Fluid Dynamics · Physics 2025-08-06 Toby L. Kirk , Marc Hodes

Thermal convection of fluid is a more efficient way than diffusion to carry heat from hot sources to cold places. Here, we experimentally study the Rayleigh-B\'enard convection of aqueous glycerol solution in a cubic cell with suspensions…

Fluid Dynamics · Physics 2021-09-14 Shi-Yuan Hu , Kai-Zhe Wang , Lai-Bing Jia , Jin-Qiang Zhong , Jun Zhang

The central open question about Rayleigh--B\'enard convection -- buoyancy-driven flow in a fluid layer heated from below and cooled from above -- is how vertical heat flux depends on the imposed temperature gradient in the strongly…

Fluid Dynamics · Physics 2022-01-10 Baole Wen , David Goluskin , Charles R. Doering

Liquid-infused surfaces (LIS) can reduce friction drag in both laminar and turbulent flows. However, the heat transfer properties of such multi-phase surfaces have still not been investigated to a large extent. We use numerical simulations…

Fluid Dynamics · Physics 2022-05-11 Johan Sundin , Umberto Ciri , Stefano Leonardi , Marcus Hultmark , Shervin Bagheri

This paper is devoted to the diffusive limit of the nonlinear radiative heat transfer system with curved boundary domain (\textit{two dimensional disk}). The solution constructed in \cite{ghattassi2022convergence} by the leading order…

Analysis of PDEs · Mathematics 2023-05-30 Mohamed Ghattassi , Xiaokai Huo , Nader Masmoudi

We perform direct numerical simulations of wall sheared Rayleigh-B\'enard (RB) convection for Rayleigh numbers up to $Ra=10^8$, Prandtl number unity, and wall shear Reynolds numbers up to $Re_w=10000$. Using the Monin-Obukhov length…

The physical background behind the success of the Sieder-Tate correction in heat transfer is analysed. The equivalent correction for mass transfer correlations is based on the ratio of diffusivities at the wall and bulk concentrations. This…

Fluid Dynamics · Physics 2010-09-21 K. T. Trinh

In heat exchangers, an incompressible fluid is heated initially and cooled at the boundary. The goal is to transfer the heat to the boundary as efficiently as possible. In this paper we study a related steady version of this problem where a…

Analysis of PDEs · Mathematics 2023-03-15 Gautam Iyer , Truong-Son Van

Surface heat transfer in convective and radiative environments is sometimes measured by recording the surface temperature history in a transient experiment and interpreting this surface temperature with the aid of a suitable model for…

Instrumentation and Detectors · Physics 2020-05-01 David Buttsworth , Timothy Buttsworth

A calculation method for engine temperatures is presented. Special focus is placed on the transient and scattering boundary conditions within the combustion chamber, including fired and coasting conditions, as well as the dynamic heat…

Signal Processing · Electrical Eng. & Systems 2018-06-06 Peter Hoelz , Thomas Boehlke , Thomas Kraemer

We report experimental results for heat-transport measurements, in the form of the Nusselt number \Nu, by turbulent Rayleigh-B\'enard convection in a cylindrical sample of aspect ratio $\Gamma \equiv D/L = 0.50$ ($D = 1.12$ m is the…

Fluid Dynamics · Physics 2015-06-04 Guenter Ahlers , Xiaozhou He , Denis Funfschilling , Eberhard Bodenschatz

The present investigation discusses the flow and heat transfer characteristics of a steady three dimensional Sisko fluid. The flow is induced due to bidirectional stretching sheet. The influence of power-law index and stretching ratio on…

Fluid Dynamics · Physics 2017-02-08 Asif Munir , Azeem Shahzad , Masood Khan

Light influenced by the turbulent ocean can be fully characterized with the help of the power spectrum of the water's refractive index fluctuations, resulting from the combined effect of two scalars, temperature and salinity concentration…

Atmospheric and Oceanic Physics · Physics 2019-09-20 Jin-Ren Yao , Hua-Jun Zhang , Ruo-Nan Wang , Jian-Dong Cai , Yu Zhang , Olga Korotkova

Results of direct numerical simulations (DNS) of porous-wall turbulent flows in open channels with conjugate heat transfer are reported in this work. For the conductive porous walls considered here, the change in heat transfer is not…

Fluid Dynamics · Physics 2025-07-15 Seyed Morteza Habibi Khorasani , Geert Brethouwer , Shervin Bagheri

In this paper, we derive closed form solutions for the quasi-stationary problems of moving heat sources within the gradient theory of heat transfer. This theory can be formally deduced from the two-temperature model and it can be treated as…

Other Condensed Matter · Physics 2022-02-15 Y. O. Solyaev , S. A. Lurie

Using boundary-layer theory, natural convection heat transfer formulas which are accurate over a wide range of Rayleigh numbers ($Ra$) were developed in the 1970s and 1980s for vertical and downward-facing plates. A comprehensive formula…

Fluid Dynamics · Physics 2023-02-06 Aubrey Jaffer

We report on experimental determinations of the temperature field in the interior (bulk) of turbulent Rayleigh-Benard convection for a cylindrical sample with aspect ratio (diameter over height) of 0.50, both in the classical and in the…

Fluid Dynamics · Physics 2015-06-19 Guenter Ahlers , Eberhard Bodenschatz , Xiaozhou He

Granular flows with solid particles play an important role in energy and catalysis applications. To predict thermal performance, this study develops a comprehensive discrete particle tracking flow model fully coupled with conductive and…

Fluid Dynamics · Physics 2024-03-22 Bingjia Li , Zijie Chen , Rohini Bala Chandran

This work investigates heat transport in rotating internally heated convection, for a horizontally periodic fluid between parallel plates under no-slip and isothermal boundary conditions. The main results are the proof of bounds on the mean…

Fluid Dynamics · Physics 2024-12-25 Ali Arslan

We study compressible turbulent flow in a circular pipe, at computationally high Reynolds number. Classical related issues are addressed and discussed in light of the DNS data, including validity of compressibility transformations,…

Fluid Dynamics · Physics 2018-10-10 Davide Modesti , Sergio Pirozzoli