The instabilities of thermocapillary liquid layers with two free surfaces are examined by linear stability analysis. surface tension is big enough to keep the non-deformable. effect vertical temperature difference between interfaces (Q) considered. critical parameters preferred modes determined, which depend on Prandtl number (Pr) and Biot (Bi). When Q=0, oblique wave at small Pr streamwise lar...

The responses to external excitations in thermocapillary liquid layers are investigated by non-modal stability theory. maximum amplification of input signals is measured a response function depending on the perturbation velocity and temperature. There can be rather large amplifications subcritical flows at both small Prandtl numbers (Pr). For Pr, increases significantly with Reynolds number (R)...

Acute promyelocytic leukemia (APL) is characterized by a block to myeloid differentiation caused by expression of the fusion oncoprotein promyelocytic leukemia-retinoic acid receptor alpha (PML-RARalpha). The purpose of this study was to identify genes that are regulated in a PML-RARalpha-dependent fashion by retinoic acid (RA), because such genes may be integrally involved in APL pathogenesis ...

The effect of thermophoresis particle deposition on unsteady free convective, heat and mass transfer in a viscoelastic fluid along a semiinfinite vertical plate is investigated. The Walters-B liquid model is employed to simulate medical creams and other rheological liquids encountered in biotechnology and chemical engineering. The dimensionless unsteady, coupled and non-linear partial different...

In this paper the effect of Viscoelastic fluid flow past an infinite plate with heat dissipation is investigated. The dimensionless governing equations are solved using perturbation technique. The analytical results for velocity and temperature and there different parameters such as Prandtl number, Eckert number and Viscoelastic parameter number are studied. It is observed that the velocity dec...

A shadowgraph optical setup is used to study the time evolution of Soret induced convection in a colloidal suspension. We obtain a scale invariant behavior for the solutal Nusselt number as a function of the Rayleigh number. In a typical Rayleigh-Bénard experiment a horizontal slab of a fluid is contained between a top and bottom plates maintained at two different temperatures (higher temperatu...

Crystals of K2Y0.999Pr0.001F5 and K2Y0.98Pr0.02F5 were grown by the hydrothermal synthesis technique. The luminescent properties are investigated by performing low-temperature selective excitation. With laser excitation set at 583.7 nm, blue emission from P0 level of Pr 3+ ions in K2YF5:Pr is observed and analyzed via an up-conversion model. Crystal field calculation of Pr ions in K2YF5 has bee...

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 Prandt...

PROOF. It suffices, by standard facts about probability measure, to prove the claim for cylinders C(w′) ⊆ ′, where w′ = w0, . . . wk. We use induction on k. The base case (k = 0) follows from Lemma 7. Namely, C( ) = ′, and ρ−1( ′) = \ ρ−1( ). Thus Pr (ρ−1( ′)) = 1 − Pr (ρ−1( )) = 1. For the induction step, suppose that the claim holds for the prefix w′ = w0w1 . . . wk. Let D[w′] = ρ−1(C(w′)). D...

Horizontally extended turbulent convection, termed mesoscale convection in natural systems, remains a challenge to investigate both experiments and simulations. This is particularly so for very low molecular Prandtl numbers, such as occur stellar the Earth's outer core. The present study reports three-dimensional direct numerical simulations of Rayleigh–Bénard square boxes side length $L$ heigh...