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Mathematical modeling for nonlinear slippery-hybrid nanofluid flow with radiation impacts and thermophoretic diffusion via a porous medium. [PDF]

Discov Nano
Al-Atawi NO.
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Prandtl Number of Toroidal Plasmas

Prandtl Number of Toroidal Plasmas
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Local turbulent Prandtl Number Model

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Zero-Prandtl-number convection

Journal of Fluid Mechanics, 1992
The zero-Prandtl-number limit of the Oberbeck—Boussinesq equations is compared to small-Prandtl-number Rayleigh—Bénard convection through numerical simulations. Both no-slip and free-slip boundary conditions, imposed at the top and bottom of a small-aspect-ratio, horizontally periodic box are considered.
Boeck, Thomas, Thess, André
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Prandtl number and thermoacoustic refrigerators

The Journal of the Acoustical Society of America, 2002
From kinetic gas theory, it is known that the Prandtl number for hard-sphere monatomic gases is 2/3. Lower values can be realized using gas mixtures of heavy and light monatomic gases. Prandtl numbers varying between 0.2 and 0.67 are obtained by using gas mixtures of helium–argon, helium–krypton, and helium–xenon.
Tijani, M.E.H., Zeegers, J.C.H., Waele, de, A.T.A.M.   +2 more
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Modified turbulent Prandtl number model for helium–xenon gas mixture with low Prandtl number

Nuclear Engineering and Design, 2020
Abstract Gas-cooled space nuclear-reactor systems generally adopt the helium–xenon mixture (He–Xe) as a working fluid and coolant, the Prandtl number (Pr) of which is low for recommended mixing ratios. Many studies have shown that the turbulent Pr (Prt) is not constant and that it is greater than 0.85 for low-Pr fluids.
Biao Zhou, Yu Ji, Jun Sun, Yuliang Sun
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Low Prandtl-number free convection

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1958
Eine Untersuchung der freien Konvektion wurde an einer senkrechten isothermen Platte bei Prandtlscher Zahl im Bereiche von 0,003–0,03 (das heisst flussige Metalle) durchgefuhrt. Dabei wurden zahlenmassige Losungen der laminaren Grenzschichtgleichungen erhalten.
John L. Gregg, Ephraim M. Sparrow
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High Prandtl number convection

Physics of the Earth and Planetary Interiors, 1979
Abstract The theory of convection in a layer heated from below is reviewed with particular emphasis on the limit of infinite Prandtl number. The review is restricted to qualitative properties of the problems which do not depend on special conditions. Similarities and differences between convection in a plane layer and in a spherical shell are pointed
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Prandtl number for liquids

Journal of Engineering Physics, 1975
It is established on the basis of experimental data for water and toluene that: 1) the Prandtl number can be expressed in a form analogous to an equation of state; 2) there are linear relations between the Prandtl number and the transport properties.
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Wall plume at extreme prandtl numbers

International Journal of Heat and Mass Transfer, 1987
An analysis of the wall plume for asymptotically large and small Pr has been carried out. It is shown that the nature of the transport differs significantly from the vertical surface and the line source plume. The asymptotically large Pr condition is studied. The other extreme of vanishingly small Pr is considered also.
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