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Mohapatra et al. [4] simulated the flow passing a free overfall using the MAC method together with the VOF surface-tracking technique.
The present SPH results agree better with the experimental [11] and theoretical [12] results than with the numerical solution of Mohapatra et al. [4].
For the case of critical flow, we consider the problem presented by Smith and Abd-el-Malek [14], which was solved by, among others, Goh and Tuck [15].
For the brink depth, the difference between the present result and Smith and Abd-el-Malek’s prediction is less than 2 percent.
Abd-el-Malek, Hilbert’s method for numerical solution from a uniform channel over a shelf, J.

Zeng 2d, and Ken Natesan2e 1Department of Metallurgical and Materials Engineering, The University of Texas at El Paso, El Paso, TX 79968, U.S.A. 2Energy Technology Division, Argonne National Laboratory, Argonne, IL 60439, U.S.A.
Specifically for example, (a) Cr in steels improves the oxidation resistance, (b) a proper combination of Al and Si may be beneficial for oxidation resistance as long as the amount of Al is more than Si, (c) if Mn is substituted for Ni then oxide scaling and higher oxidation rates are promoted, and (d) Mo improves the oxidation resistance by making steels austenitic.
Although the EDS analysis indicates the presence of Al, Si, and Mn in the alloys but their presence in the scale can not be identified by the XRD patterns.
The University of Texas at El Paso provided the scholarships for AP and MP.

Jiang et el. developed a new model considering fiber end effects using imaginary fiber technique [12].
Moshtaghin et el. within a micromechanical framework, derived the overall yield function of nanoporous materials.
[5] Wu, W., et al., An improved analysis of the stresses in a single-fibre fragmentation test: I.
Nutt, An analysis of residual stress formation in whisker-reinforced Al-SiC composites.
Arsenault, An FEM study of the plastic deformation process of whisker reinforced SiC/Al composites.

The Al/Ni multilayer composite consisted of the microscale Al and Ni layers.
Gavens et al. fabricated the Al/Ni nanofoils using magnetron sputtering method [11].
That is to say, comparing with the Al/Ni multilayer composite and the Al/Al3Ni/Ni multilayer intermetallics, the Al/Ni multilayer composite exhibits much better flexural strength.
Schoenitz, E.L.
Ishihara, et al.: Scripta Materialia Vol. 44(2001), p. 1831

It can be found that Ti2AlC is the dominated phase from the Ti-Al-TiC system.
No any trace of the starting constituents was found, which testify the feasibility of Al2O3 reinforced Ti2AlC composites by incorporation of the in situ reaction of Al and MoO3 into Ti-Al-TiC system.
In their work, the optimum molar ratio of Ti : Al : C was 3 : 1.1 : 1.8.
The deviation from theoretical composition in the starting materials is attributed to the volatility of Al melting at high temperatures.
El-Raghy: Scripta Mater.

Then, it is adjusted according to the result of elastic time-history analysis (mainly consider El Centro wave).
The structure selects three nature waves and one manual wave ACC-1 respectively according to 3+1 method, at the same time, also selects El Centro wave and Taft wave for the convenience of comparison with other results.
Both the maximum displacement of the structure top and the maximum inter-story displacement angle emerges under the El Centro wave, with the value of 0.08693m and 1/746 respectively, in 5.62 seconds on the tenth floor.
Generally, the maximum displacement of the structure top and the maximum inter-story displacement angle are relatively large under the action of El Centro wave, USA00233 wave, and ACC-1 wave, and the displacement response is relatively small under the action of Taft wave.
[7] Yang Hong, Wang Zhen, Wei Feng, et al., Effect of amplification of moments at the bottom section of columns on seismic behavior of RC frames, World earthquake engineering, 2002, 18(4), p.66-72.

The importance of this element in the industry nowadays had made researchers pay their attention on developing the methods to exploit the low grade manganese ores (Pagnanelli et al., 2004).
This is similar to what was reported by Ismail et al. (2013).
El Hazek, A.S.
El-Hazek, A.S.
El-Nagar. (2009).

Fig. 1: XRD chart of the 8006 Al-alloy with different degree of deformation (%). 2.
Fig. 2: Positron lifetime spectra for 8006 Al-alloy with zero% and 39.1% deformation.
Fig. 3: The mean lifetime as a function of thickness reduction of 8006 Al-alloy. 3.
Fig. 4: Vickers hardness variation of 8006 Al-alloy as a function of thickness reduction.
Abd EL-Naser and A.

Li et al. [9] and Kaushik et al. [15] explained a simple synthesis method of azine using hydrazine hydrate reagents in ethanol at room temperature for 24 hours.
Synthesis of (4,5-dimethoxy-2-nitrobenzylidene)hydrazine 5 was performed by following a method described by Li et al. [9] and Kaushik et al. [15].
El Khawass, M.A.
Abd El Razik, N.S.
El Salamouni, Unexpected products from the reaction of different compounds with hydrazine hydrate or aryl thiosemicarbazides, J.

Howard, et al: J.
Yannas, et al: Biomaterials Vol. 25 (2004), p. 1077 [4] E.L.
Nauman, et al: Biomaterials Vol. 24 (2003), p. 3805 [5] S.
El-tahlawy, M.A.
El-bendary, A.G.