Numerical Simulation to Solve Two-Dimensional Temporal-Space Fractional Bloch–Torrey Equation Taken of the Spin Magnetic Moment Diffusion

2021 ◽  
Vol 7 (3) ◽  
Author(s):  
H. Mesgarani ◽  
Y. Esmaeelzade Aghdam ◽  
H. Tavakoli
Keyword(s):  
Numerical Simulation ◽  
Magnetic Moment ◽  
Two Dimensional ◽  
Spin Magnetic Moment ◽  
Temporal Space

Bulk-like Magnetic Moment of Epitaxial Two-dimensional Superlattices

2021 ◽  
pp. 1-1
Author(s):  
Jiabao Sun ◽  
Shanshan Liu ◽  
Faxian Xiu ◽  
Wenqing Liu
Keyword(s):  
Magnetic Moment ◽  
Two Dimensional

scholarly journals Study on X-ray Induced Two-Dimensional Thermal Shock Waves in Carbon/Phenolic

Materials ◽  
2021 ◽  
Vol 14 (13) ◽  
pp. 3553
Author(s):  
Dengwang Wang ◽  
Yong Gao ◽  
Sheng Wang ◽  
Jie Wang ◽  
Haipeng Li
Keyword(s):  
Numerical Simulation ◽  
Shock Wave ◽  
Wave Propagation ◽  
Thermal Shock ◽  
Anisotropic Material ◽  
Energy Deposition ◽  
X Rays ◽  
Two Dimensional ◽  
X Ray ◽  
Deposition Depth

Carbon/Phenolic (C/P), a typical anisotropic material, is an important component of aerospace and often used to protect the thermodynamic effects of strong X-ray radiation. In this paper, we establish the anisotropic elastic-plastic constitutive model, which is embedded in the in-house code “RAMA” to simulate a two-dimensional thermal shock wave induced by X-ray. Then, we compare the numerical simulation results with the thermal shock wave stress generated by the same strong current electron beam via experiment to verify the correctness of the numerical simulation. Subsequently, we discuss and analyze the rules of thermal shock wave propagation in C/P material by further numerical simulation. The results reveal that the thermal shock wave represents different shapes and mechanisms by the radiation of 1 keV and 3 keV X-rays. The vaporization recoil phenomenon appears as a compression wave under 1 keV X-ray irradiation, and X-ray penetration is caused by thermal deformation under 3 keV X-ray irradiation. The thermal shock wave propagation exhibits two-dimensional characteristics, the energy deposition of 1 keV and 3 keV both decays exponentially, the energy deposition of 1 keV-peak soft X-ray is high, and the deposition depth is shallow, while the energy deposition of 3 keV-peak hard X-ray is low, and the deposition depth is deep. RAMA can successfully realize two-dimensional orthotropic elastoplastic constitutive relation, the corresponding program was designed and checked, and the calculation results for inspection are consistent with the theory. This study has great significance in the evaluation of anisotropic material protection under the radiation of intense X-rays.

scholarly journals A high accurate scheme for numerical simulation of two-dimensional mass transfer processes in food engineering

2021 ◽  
Vol 60 (2) ◽  
pp. 2629-2639
Author(s):  
Yin Yang ◽  
Grzegorz Rządkowski ◽  
Atena Pasban ◽  
Emran Tohidi ◽  
Stanford Shateyi
Keyword(s):  
Numerical Simulation ◽  
Mass Transfer ◽  
Two Dimensional ◽  
Food Engineering ◽  
Transfer Processes ◽  
Mass Transfer Processes ◽  
Accurate Scheme
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