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991.
Mohammad Pourmahmood Aghababa Hasan Pourmahmood Aghababa 《Mechanics Research Communications》2011,38(7):500-505
This paper deals with the problem of robust finite-time stabilization of non-autonomous chaotic gyrostat systems. It is assumed that the parameters of the gyrostat system are completely unknown in advance and the system is perturbed by unknown uncertainties and disturbances. Some update laws are proposed to estimate the unknown parameters. Based on the finite-time control idea and the update laws, appropriate control laws are designed to ensure the stabilization of the closed-loop system in a finite time. The finite-time stability and convergence of the closed-loop system are analytically proved. A numerical simulation is given to demonstrate the applicability and robustness of the proposed finite-time controller and to verify the theoretical results. 相似文献
992.
Eulerian-Eulerian two-phase numerical simulation of nanofluid laminar forced convection in a microchannel 总被引:1,自引:0,他引:1
Mohammad Kalteh Abbas Abbassi Majid Saffar-AvvalJens Harting 《International Journal of Heat and Fluid Flow》2011,32(1):107-116
In this paper, laminar forced convection heat transfer of a copper-water nanofluid inside an isothermally heated microchannel is studied numerically. An Eulerian two-fluid model is considered to simulate the nanofluid flow inside the microchannel and the governing mass, momentum and energy equations for both phases are solved using the finite volume method. For the first time, the detailed study of the relative velocity and temperature of the phases are presented and it has been observed that the relative velocity and temperature between the phases is very small and negligible and the nanoparticle concentration distribution is uniform. However, the two-phase modeling results show higher heat transfer enhancement in comparison to the homogeneous single-phase model. Also, the heat transfer enhancement increases with increase in Reynolds number and nanoparticle volume concentration as well as with decrease in the nanoparticle diameter, while the pressure drop increases only slightly. 相似文献
993.
Mohammad HojjatSeyed Gholamreza Etemad Rouhollah BagheriJules Thibault 《Experimental Thermal and Fluid Science》2011,35(7):1351-1356
Forced convection heat transfer of non-Newtonian nanofluids in a circular tube with constant wall temperature under turbulent flow conditions was investigated experimentally. Three types of nanofluids were prepared by dispersing homogeneously γ-Al2O3, TiO2 and CuO nanoparticles into the base fluid. An aqueous solution of carboxymethyl cellulose (CMC) was used as the base fluid. Nanofluids as well as the base fluid show shear-thinning (pseudoplastic) rheological behavior. Results indicate that the convective heat transfer coefficient of nanofluids is higher than that of the base fluid. The enhancement of the convective heat transfer coefficient increases with an increase in the Peclet number and the nanoparticle concentration. The increase in the convective heat transfer coefficient of nanofluids is greater than the increase that would be observed considering strictly the increase in the effective thermal conductivity of nanofluids. Experimental data were compared to heat transfer coefficients predicted using available correlations for purely viscous non-Newtonian fluids. Results show poor agreement between experimental and predicted values. New correlation was proposed to predict successfully Nusselt numbers of non-Newtonian nanofluids as a function of Reynolds and Prandtl numbers. 相似文献
994.
Gholamali Atefi Mohammad Reza Talaee 《Archive of Applied Mechanics (Ingenieur Archiv)》2011,81(5):569-583
Analytical solution of the non-Fourier Axisymmetric temperature field within a finite hollow cylinder is investigated considering
the Cattaneo-Vernotte constitutive heat flux relation. The solution is found for the most general linear time-independent
boundary conditions. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties.
The standard method of separation of variables is used. The present solution can be reduced to special problems of interest
by choosing appropriate boundary condition parameters. The solution is applied for two special cases including constant heat
flux and the Gaussian distribution heating of a cylinder, and their respective non-Fourier thermal behavior is studied. 相似文献
995.
Mohammad O. Hamdan Ahmed Alawar Emad Elnajjar Waseem Siddique 《Heat and Mass Transfer》2011,47(12):1637-1642
The present study reports the effect of several operating parameters on the thermal performance of the vortex tube. The experimental
results indicate that the inlet pressure and the cold fraction are the most significant parameters influencing the vortex
tube performance. The experimental data point out that insulation has minimal effect on the vortex tube performance. The same
inlet pressure tests show that energy separation increases as number of inlet nozzle increases. 相似文献
996.
Mohammad Rezaiee-Pajand Mehrzad Sharifian Mehrdad Sharifian 《European Journal of Mechanics - A/Solids》2011,30(3):345-361
Up to now, some explicit approximate integration schemes based on exponential maps, for non-hardening material obeying Drucker–Prager’s criterion, have been presented. Two new exponential-based approximate formulations, for associative Drucker–Prager plasticity are developed in this article. Both are consistent and explicit algorithms. The linear isotropic and Prager’s kinematic hardening behavior are assumed. Furthermore, an accurate solution for the constitutive equations is derived. The accuracies of the suggested approximate algorithms are assessed by creating related iso-error maps. In addition, by using piecewise strain load histories, and calculating computation times, the robustness and efficiency of the formulations are demonstrated. 相似文献
997.
Mohammad Zarrin 《Archiv der Mathematik》2011,96(3):225-226
For any group G, let C(G){\mathcal{C}(G)} denote the set of centralizers of G. We say that a group G has n centralizers (G is a Cn{\mathcal{C}_n}-group) if |C(G)| = n{|\mathcal{C}(G)| = n}. In this note, we show that the derived length of a soluble Cn{\mathcal{C}_n}-group (not necessarily finite) is bounded by a function of n. 相似文献
998.
Mohammad Hassan Abbaspour Houshang Behravesh 《Rendiconti del Circolo Matematico di Palermo》2011,60(3):309-317
In Behravesh (J. Lond. Math. Soc. (2) 55:251–260, 1997), we gave algorithms to calculate c(G), q(G) and p(G) for a finite group G. In this paper we will show that in groups with two character degrees we may have c(G)=q(G)≠p(G). 相似文献
999.
We present a model for describing the growth of students’ understandings when reading a proof. The model is composed of two main paths. One is focused on becoming aware of the deductive structure of the proof, in other words, understanding the proof at a semantic level. Generalization, abstraction, and formalization are the most important transitions in this path. The other path focuses on the surface-level form of the proof, and the use of symbolic representations. At the end of this path, students understand how and why symbolic computations formally establish a claim, at a syntactic level. We make distinctions between states in the model and illustrate them with examples from early secondary students’ mathematical activity. We then apply the model to one student’s developing understanding in order to show how the model works in practice. We close with some suggestions for further research. 相似文献
1000.
Abdul Moeed Mohammad 《International Journal of Mathematical Education in Science & Technology》2019,50(3):344-353
We explore students choice of using computer algebra systems (CAS) in problem-solving relative to their self-reported attitude towards learning mathematics with CAS. Our research design is a case study of nine Norwegian upper-secondary mathematics students with a wide range of attitude towards CAS. Our findings on routine problems indicate that (1) students use CAS whenever students perceive the problem as time-consuming regardless of their attitude towards CAS, and (2) students attitude affects their use of CAS whenever students perceive the problem as non-time-consuming. Norway, among other countries, has implemented CAS as an essential digital resource towards learning mathematics in upper-secondary school. Our discussion focuses on the implications of our findings have on local mathematics educators and national policy-makers. 相似文献