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Namely, the complexity of flow would depend on bubbles and slugs numbers and their shape and size varieties, while periodicity is based on the stability and spatio-temporal self-organization of air bubbles and slugs.
The concept of Multi-Scale Entropy (MSE) [8, 9] is based on the coarse-graining procedure that uses a coarse-grained time series, as an average of the original data points within non-overlapping windows by increasing the scale factor τ according to the following formula (see also Fig. 5): X X X X X X X X X 1 2 3 4 5 6 i i+1 i+2 1 2 3 k X X X X (2) (2) (2) (2) i i+1X +X +
In this approach for each scale factor τ, the MSE calculation based on the time series of the coarse-grained x(τ) j : MSE(x, τ, m, r) = SampEn (x(τ), m, r) . (3) where m = 2 is the pattern length and r is the similarity criterion and is usually chosen to be r < σ(x) [8], here σ(x) is the standard deviation of the original time series and x(1)i = xi.
To estimate SampEn(x(τ), m, r) from Eq. 6 (see also Fig. 5) we count the number of vector pairs denoted by xτ)(i) and x(τ)(j) in the time series of length m and m + 1 having distance d[x(τ)(i), x(τ)(j)] < r.
The flow patterns were also recorded by laser light transmission and successfully analyzed by Fourier and mutiscale entropy analyses.Acknowledgement The presented research was funded by the National Science Centre, Poland - the number of decision: DEC-2013/09/B/ST8/02850.

It’s well known that the use and performance for a given application are strongly influenced by the crystal structure, the phase component, the grain size, the morphology and the cost [5-9].
Therefore, it is important to find methods, which can control the crystal structure, the phase component and grain size of the products to synthesize nanocrystalline titania.
When the acidity in feedstock is lower, the number of OH ligand in [Ti(OH)nClm]2- is more.
As the acidity in feedstock is higher, the number of OH ligands in [Ti(OH)nClm]2- is less.
The microwave hydrothermal conditions have significant effects on the formation, phase component and grain size of titania products.

The gray profile is a distribution function, which displays the values of gray level of the individual image-points in the form of numbers.
The number of these arms decreases by increasing the distance from the tip, and by this the secondary dendrite arm spacing becomes greater and greater.
The graphite-grains did not move and as a consequence we couldn't state if there is flow in the system and what it is characterized by.
But we could not decide if the grains move under the influence of gravity.
The density of PE was 0.91-0.93 g/cm3 and its grain size was between 0.09-0.063 mm.

Thus, the numbers of monomer contains in the polymer increase as the layer of PMMA increase and intensity peak of the Raman spectra were increase.
Increasing the number of layer probably affects the optical properties of the films [14].
Due to the higher layers resulted to the excessive number of the particle that contains in the sample might be relate to the size of particles.
Khanna et al, the higher amount of UV light absorbed in UV region possess the small grain particles and little surface defect [15].
Therefore, 7 layers of PMMA spin coated onto substrate exhibit good absorption due to their small grains of particles and better surface films.

In view of environmental problem and reducing production costs of polysilicon, it is necessary to explore a new application fields of such a large number of silicon tetrachloride .
After a period of crystallization, in addition to free Si4+ and Al3+ in the reaction system, there was also a large number of zeolite crystals, and zeolite crystals acts as crystal seed that played important roles to the growth of crystal nucleus.With certain concentration of Si4+ and Al3+, crystal nucleus would generate again, which induced the crystallinity degree would increase once again.
It included not only the diffusion process of the solute molecules to the grain, but also the precipitation process of solute molecules in the grain surface[7].
In the crystallization process, with the extension of time, the growth time of zeolite extended,the degree of crystallinity increased and particle size increased, grain size became more uniform (i.e. particle size distribution range became more narrow ), Due to the other types of generation, particle size distribution range expanded when crystallization time prolong.
With the increase of reaction time, the absorption peak of zeolite samples at 1000-950 cm-1 moved from high to low wave number.

The deformability and fracture mechanism of FBDP steels during tension were studied recently, [9], showing that the voids or micro-cracks were formed not only at ferrite–bainite interfaces but also within ferrite grains in the necked region, thus reducing the local stress concentration of crack tips.
The steels were numbered as 11, 12, and 13 and have the following chemical composition; Table I: Chemical composition of processed steels steel No.
The heat treatment cycle consists of austentizing at 1000 oC (higher than Ar3) and holding for 60 minutes followed by furnace cooling to 750 oC (between A3 and A1) and holding for 60 minutes to facilitate ferrite separation and precipitation at the austenite grain boundaries [6].
It is clear that the as forged sample numbered 0011 contains a continuous second phase beside ferrite.
The present result is expected as bainite structure is initiated at the triple points of ferrite grains and growing at the expense of the ferrite phase itself [6].

A number of ingots were produced and subsequent to the casting process, different investigations were carried out.
Furthermore, the grain structure shows no abnormalities.
The structure contains ferrite and perlite and the grain size is around 50 µm.
The number of elements are growing for this kind of model around 1 million.
For each model the number of elements is around 30.000-50.000 elements.

Chemical composition of rapidly solidified powders (“MicroAlu” alloys) Alloys Powder grain size Chemical composition [m. %] (Al: bal.)
After a prescript number of repeated load cycles , the specimens were statically bend, and the flow (RgH) stresses and the bending ultimate stresses were measured.
The Fig. 5. shows 0.5Fgm amplitude cyclic repeated load has not caused fatigue damages until 100000 number of cycles.
In consequence, the low - cycle fatigue - limit of the tested AlSi27Ni6 fine grain RS/PM alloy is minimum half of the static bending strength.
The Fig. 6. shows that the wear resistance of the AlSi26Ni6 RS/PM alloy independent from the powder grain size.

Once the particle’s size of common ion exchange resins was reduced to less than 0.1 mm, their dynamic exchange area was increased significantly, but meanwhile the number of fine suspended particles may be increased.
The curing agent was dissolved in the medium phase and diffused from the suspending PEI resin grain surface to its nucleus and reacted with it.
That’s why the N3 composite was achieved in a small grain size and its magnetic powder percentage was very low.
Dosage of curing agent [ml] Yield of composite [g] N S C+H N2a 1.5 3.40 12.29 9.69 40.24 N2b 2 4.80 11.94 9.80 39.33 N2c 2.5 5.55 9.89 12.10 38.57 N2d 3 4.85 10.90 10.10 37.22 Viewing from Table 2, it was found that the dosage of curing agent had a significant effect on the grain size and composite’s properties.
Since the grain size was distributed in a wide range, the average grain size was almost unchanged.

Recently, Esaka et al has found that by replacing Ga with Y, the perovskite type oxide shows ion conduction with oxide ion transport number is unity, which has the potential to use as electrolyte in SOFC.
Sintering time also affects the grain size of the samples.
As sintering time is increase, neck formation between particles and grain growth begin [10].
Considering the much bigger grain size as the sintering time increased, the reason for this could be that these pores are trapped in the grains during the grain growth.