Boundary layers in turbulent vertical convection at high Prandtl number

نویسندگان

چکیده

Many environmental flows arise due to natural convection at a vertical surface, from in buildings dissolving ice faces marine-terminating glaciers. We use three-dimensional direct numerical simulations of channel with differentially heated walls investigate such convective, turbulent boundary layers. Through the implementation multiple-resolution technique, we are able perform wide range Prandtl numbers ${Pr}$ . This allows us distinguish parameter dependences horizontal heat flux and layer widths terms Rayleigh number $\mbox {{Ra}}$ For considered $1\leq {Pr} \leq 100$ , $10^{6} \mbox {{Ra}} 10^{9}$ find flow be consistent ‘buoyancy-controlled’ regime where is independent wall separation. given found scale linearly friction velocity $V_\ast$ Finally, discuss implications our results for parameterisation salt fluxes ice–ocean interfaces.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Transient Natural Convection Flow on an Isothermal Vertical Wall at High Prandtl Numbers: Second-Order Approximation

The method of matched asymptotic expansions, which has been used in previous studies of steady natural convection flow, is extended here to transient natural convection flow at high Prandtl number (Pr). Second-order expansion solutions, valid for large Prandtl numbers, are presented for the transient natural convection flow near a vertical surface which undergoes a step change in temperature. T...

متن کامل

Turbulent Rayleigh–Bénard convection for a Prandtl number of 0.67

For the Rayleigh-number range 10 Ra 10 we report measurements of the Nusselt number Nu and of properties of the large-scale circulation (LSC) for cylindrical samples of helium gas (Prandtl number Pr=0.674) that have aspect ratio Γ ≡D/L=0.50 (D and L are the diameter and the height respectively) and are heated from below. The results for Nu are consistent with recent direct numerical simulations...

متن کامل

The Anisotropy of Low Prandtl Number Turbulent Convection

A model for homogeneous anisotropic incompressible turbulence is proposed. The model generalizes the GISS model of homogeneous isotropic turbulence; the generalization involves the solution of the GISS equations along a set of integration paths in wavenumber (k-) space. In order to make the problem tractable, these integration paths (“cascade lines”) must be chosen in such a way that the behavi...

متن کامل

Effects of vertical boundaries on infinite Prandtl number thermal convection

The physics of thermomechanical coupling of the continental lithosphere and its surrounding mantle is studied using a simple hydrodynamic model in which a fluid is heated from below and is bounded by rigid side walls. Rayleigh numbers up to 10 are considered. A series of finite-element stability analyses is employed to characterize systematically the nature of convective instability in such a s...

متن کامل

Heat-flux measurement in high-Prandtl-number turbulent Rayleigh-Bénard convection.

We report Nusselt number measurements from high Prandtl number turbulent thermal convection experiments. The experiments are conducted in four fluids with the Prandtl number Pr varying from 4 to 1350 and the Rayleigh number Ra from 2x10(7) to 3x10(10), all in a single convection cell of unity aspect ratio. We find that the measured Nusselt number decreased about 20% over the range of Pr spanned...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2021

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2021.952