Prandtl number of toroidal plasmas / by Kimitaka Itoh

On the magnetic prandtl number behavior of accretion disks by Balbus, S, Henri, P

“…We investigate the behavior of the magnetic Prandtl number (the ratio of microscopic viscosity to resistivity) for accretion sources. …”

The effect of prandtl number on the performance of microchannel heat sink / by Ong, Jiun Shyong, 1988-, Amer Nordin Darus, Fakulti Kejuruteraan Mekanikal

Prandtl Number and Viscosity Correlations of Titanium Oxide Nanofluids by Palesa Helen Mlangeni, Zhongjie Huan, Thembelani Sithebe, Vasudeva Rao Veeredhi

“…Many features of nanofluids, such as the Prandtl number and viscosity, are researched as the number of studies conducted in the field of nanofluids increases. …”
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A description of the Lorenz attractor at high Prandtl number by Fowler, A, McGuinness, M

The effects of Prandtl number on black hole accretion flows by Balbus, S, Lesaffre, P

“…This dimensionless quantity is known as the magnetic Prandtl number Pm. In general, standard astrophysical accretion disks are characterized by Pm ≪ 1 throughout their radial extent, while low luminosity accretors (e.g. …”

Critical magnetic Prandtl number for small-scale dynamo. by Schekochihin, A, Cowley, S, Maron, J, McWilliams, J

“…Namely, the dynamo is shut down if the magnetic Prandtl number Pr(m)=Rm/Re is less than some critical value Pr(m,c)< approximately 1 even for Rm for which dynamo exists at Pr(m)> or =1. …”

Method of calculation of turbulent Prandtl number for the SST turbulence model by Zaitsev Dmitri, Smirnov Evgeny

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A numerical simulation on high prandtl number liquid bridge by Yang Shuo, Liang Ruquan, He Jicheng

“…The free surface characteristics of high prandtl number liquid bridge with dynamic deformation have been investigated under microgravity based on the Navier-Stokes equations coupled with the energy conservation equation on a staggered grid. …”
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Numerical demonstration of fluctuation dynamo at low magnetic Prandtl numbers. by Iskakov, AB, Schekochihin, A, Cowley, S, McWilliams, J, Proctor, MR

“…In the limit Pm<<1, Rmc is about 3 times larger than for the previously well-established dynamo at large and moderate Prandtl numbers: Rmc less than or similar 200 for Re greater than or similar 6000 compared to Rmc approximately 60 for Pm>or=1. …”

Fluctuation dynamo and turbulent induction at low magnetic Prandtl numbers by Schekochihin, A, Iskakov, AB, Cowley, S, McWilliams, J, Proctor, M, Yousef, T

“…In the limit Pm ≪ 1, Rmc is at most three times larger than for the previously well established dynamo at large and moderate Prandtl numbers: Rmc ≲ 200 for Re ≳ 6000 compared to Rmc ∼ 60 for Pm ≥ 1. …”

Fluctuation dynamo and turbulent induction at low magnetic Prandtl numbers by Schekochihin, A, Iskakov, AB, Cowley, S, McWilliams, J, Proctor, M, Yousef, T

“…This paper is a detailed report on a programme of simulations used to settle a long-standing issue in the dynamo theory and demonstrate that the fluctuation dynamo exists in the limit of large magnetic Reynolds number Rm&gt;&gt;1 and small magnetic Prandtl number Pm&lt;&lt;1. The dependence of the critical Rm_c vs. the hydrodynamic Reynolds number Re is obtained for 1<re<6700. for="" in="" is="" larger="" limit="" pm="" pm<<1,="" rm_c="" than="" the="" times="" ~3="">1. …”

Proposal of a turbulent Prandtl number model for Reynolds-averaged Navier–Stokes approach on the modeling of turbulent heat transfer of low-Prandtl number liquid metal by Xi Huang, Bo Pang, Bo Pang, Xiang Chai, Yuan Yin, Yuan Yin

Subjects: “…low-Prandtl number liquid metal…”
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The effect of prandtl number on the performance of microchannel heat sink [electronic resources] / by Ong, Jiun Shyong, 1988-, Amer Nordin Darus, Fakulti Kejuruteraan Mekanikal

Effects of external environment on thermocapillary convection of high prandtl number fluid by Liang Ruquan, Yan Fuqiang, Li Xiaoyuan, Zhang Shuo, Yang Shuo

“…Numerical simulations have been carried out to investigate the influence of external environment on thermocapillary convection in high Prandtl number (Pr=68) liquid. The geometric model of physical problem is that the the liquid bridge surrounded by ambient air under zero or ground gravity. …”
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Investigation of the helium proportion influence on the Prandtl number value of gas mixtures by S. A. Burtsev, D. S. Kochurov, N. L. Schegolev

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Numerical Investigation of Turbulent Heat Transfer Properties at Low Prandtl Number by Xiang Chai, Xiaojing Liu, Jinbiao Xiong, Xu Cheng

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Prandtl Number in Classical Hard-Sphere and One-Component Plasma Fluids by Sergey Khrapak, Alexey Khrapak

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The small-scale structure of magnetohydrodynamic turbulence with large magnetic Prandtl numbers by Schekochihin, A, Maron, J, Cowley, S, McWilliams, J

The onset of turbulent rotating dynamos at the low magnetic Prandtl number limit by Seshasayanan, K, Dallas, V, Alexakis, A

“…We demonstrate that the critical magnetic Reynolds number Rm c for a turbulent nonhelical dynamo in the limit of low magnetic Prandtl number Pm (i.e. Pm=Rm/Re ≪ 1) can be significantly reduced if the flow is subjected to global rotation. …”