In this note we construct a C∞-smooth, LFC (Locally depending on Finitely many Coordinates) bump function, in every separable Banach space admitting a continuous, LFC bump function.

We establish sufficient conditions on the shape of a set A included in the space Lns (X, Y ) of the n-linear symmetric mappings between Banach spaces X and Y , to ensure the existence of a C-smooth mapping f : X −→ Y , with bounded support, and such that f (X) = A, provided that X admits a Csmooth bump with bounded n-th derivative and dens X = densL(X, Y ). For instance, when X is infinite-dime...

A microscopic approach is presented to describe the contribution to the thermal diffusion coefficient of colloids due to intercolloidal particle interactions. An exact expression for the leading-order virial coefficient of the thermal diffusion coefficient of interacting colloidal spheres is derived in terms of the intercolloidal pair-interaction potential and hydrodynamic interaction functions...

Vertically aligned monodomain nematic liquid-crystal elastomers contract when heated. If a temperature gradient is applied across the width of such a cantilever, inhomogeneous strain distribution leads to bending motion. We modelled the kinetics of thermally induced bending in the limit of a long thin strip and the predicted time variation of curvature agreed quantitatively with experimental da...

in this work, the strontium-doped lanthanum manganite- a ceramic material- used as cathode in solid oxide fuel cells. an impression of grinding time on the structural and thermal properties of sr-doped lamno3 system with la1-xsrxmno3 (x=0.2) stoichiometric ratio was investigated. the nano crystallite lsm powder with cubic structure was prepared by varying the milling time of planetary monomill ...

in this paper, the measurement of the viscosity of zno in ethylene glycol, propylene glycol, mixture of ethylene glycol and water (60:40 by weight), and a mixture of propylene glycol and water (60:40 by weight) and the thermal conductivity in ethylene glycol and propylene glycol as base fluids in the range of temperature from 25 ºc to 60 ºc are investigated. the results indicate that as the tem...

 This work presents a model for calculating the effective ‎thermal conductivity of nanofluids. The proposed model ‎includes the effects of nanoparticles and thermal conductivity ‎base fluid.We will focus on experimental of the volume ‎concentration parameter and temperature on thermal ‎conductivity, nano-fluid combination and Multi-Walled ‎Carbon nanotubes-Oxide / Copper-paid deionized Water. T...

We investigate the best order of smoothness of L p (L q). We prove in particular that there exists a C ∞-smooth bump function on L p (L q) if and only if p and q are even integers and p is a multiple of q.

Theoretical results derived in this article are combined with experimental data to conclude that, while there is no improvement in the effective thermal conductivity of nanofluids beyond the Maxwell's effective medium theory (J.C. Maxwell, Treatise on Electricity and Magnetism, 1891), there is substantial heat transfer augmentation via nanofins. The latter are formed as attachments on the hot w...

The texture of cold-rolled and heat-treated TiNi sheet has been measured and designated as {110}(1i0)p. This material has been used in thermal fatigue tests during and after which the anisotropy and development of several thermomechanical properties, such as transformation temperatures and strains, have been measured. Furthermore, the resulting changes of texture after thermal fatigue are prese...