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学者姓名：姚海楼
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Abstract ：
The current study aims to investigate the effects of thermal radiations in a porous bulb-shaped enclosure. The cavity is filled with Casson fluid, the upper highlighted section represents the hot wall, while the lower highlighted part signifies the cold wall, and the bottom section corresponds to the adiabatic wall. The research takes into account several key variables such as the Hartmann number (varying from 0 to 20), Lewis number (ranging from 0.1 to 10), Rayleigh number (Ra 10(3)-10(5)), Casson fluid parameter (varying from 0.1 to 10), buoyancy ratio (ranging from 0 to 2), Darcy number (ranging from 0.1 to 0.001) and thermal radiation parameter (varying from 0 to 5). In two dimensions, the governing formulation is written as a set of balancing equations for velocities, pressures, energies and concentrations. The nonlinear governing PDEs are solved using numerical approach based on finite element method (FEM). The discretization is performed using the stable finite element pair P-2/P-1. To analyze the effects of flow distribution changes, we graphically display those using streamlines, isothermal profiles and isoconcentration patterns. Information on kinetic energy, local heat and mass flux is also provided in the form of graphs and tables. The findings suggest that thermal radiation and porosity factors have profound impact on the flow pattern, isothermal and isoconcentrating contours. The study demonstrates the applications in solar thermal power conversion, energy deficiency systems and many other application of electronics designs.
Keyword ：
Bulb-shaped cavity Bulb-shaped cavity Double diffusive Double diffusive Finite element method Finite element method Thermal radiation Thermal radiation
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| GB/T 7714 | Aslam, Muhammad Aqib , Yao, Hailou , Shahzad, Hasan et al. Impact of thermal radiation in a mixed convective magnetize Casson fluid flow through a porous bulb-shaped enclosure [J]. | JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY , 2024 , 149 (12) : 6227-6239 . |
| MLA | Aslam, Muhammad Aqib et al. "Impact of thermal radiation in a mixed convective magnetize Casson fluid flow through a porous bulb-shaped enclosure" . | JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY 149 . 12 (2024) : 6227-6239 . |
| APA | Aslam, Muhammad Aqib , Yao, Hailou , Shahzad, Hasan , Algarni, Salem , Alqahtani, Talal , Irshad, Kashif . Impact of thermal radiation in a mixed convective magnetize Casson fluid flow through a porous bulb-shaped enclosure . | JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY , 2024 , 149 (12) , 6227-6239 . |
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Abstract ：
Purpose: The current study aims to enhance the double diffusive natural convection in an Ostwald -de Waele fluid filled in a hexagonal enclosures using non -uniform magnetic field embedded with circular obstacle. The upper wall has maximum temperature ( T*) and concentration (C*h) whereas the lower wall is kept at minimum tem) and concentration (C*h perature ( T* ). The parameters that play a significant role in the heat and mass transfer c c are evaluated, including Hartmann number, power law index, Rayleigh number and buoyancy ratio. Design/Methodology/approach: In two-dimensions, the governing formulation is written as a set of balancing equations for velocities, pressures, energies and concentrations. The nonlinear governing PDEs are solved using numerical approach based on Finite Element Method (FEM). The discretization is performed using the stable finite element pair P2/P1. Code validation and results are ensured by conducting a grid convergence and comparison test respectively. Findings: The influence of flow on velocity, isotherms and iso-concentration field is examined by analyzing a broad variety of variables such as power-law index (0.7 <= n <= 1.2), Hartmann number (0 <= Ha <= 50), Rayleigh number 104 <= Ra <= 106, inclination angle 0 degrees <= gamma <= 90 degrees and buoyancy ratio ( - 2 <= N <= 2). The findings are displayed graphically, including the flow, temperature and concentration fields. Heat and mass transfer rates are maximum for shear thinning fluids while for shear thickening fluids it reduces, whereas it is maximum for concentration dominated assistant flow and minimum for concentration dominant counter flow. Application: The novel aspects of the research include its thorough examination of solar thermal power conversion and its inventive energy deficiency devices and a wide range of electrical design applications.
Keyword ：
non-Newtonian fluid non-Newtonian fluid Double diffusive Double diffusive CFD simulation CFD simulation Hybrid mesh Hybrid mesh MHD MHD
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| GB/T 7714 | Aslam, Muhammad Aqib , Yao, Hailou , Al Mesfer, Mohammed K. et al. Numerical analysis of double-diffusive natural convective flow of Ostwald-de Waele fluid in an irregular enclosure with a circular obstacle [J]. | RESULTS IN PHYSICS , 2024 , 56 . |
| MLA | Aslam, Muhammad Aqib et al. "Numerical analysis of double-diffusive natural convective flow of Ostwald-de Waele fluid in an irregular enclosure with a circular obstacle" . | RESULTS IN PHYSICS 56 (2024) . |
| APA | Aslam, Muhammad Aqib , Yao, Hailou , Al Mesfer, Mohammed K. , Shahzad, Hasan , Danish, Mohd , Irshad, Kashif . Numerical analysis of double-diffusive natural convective flow of Ostwald-de Waele fluid in an irregular enclosure with a circular obstacle . | RESULTS IN PHYSICS , 2024 , 56 . |
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Abstract ：
For any triangular matrix coalgebra gamma = ((C U)(0 D)) , in this paper, we first examine some connections between coalgebra properties of gamma and its constituent coalgebras C, D, which contain semiperfectness, computability and row/column-finiteness of their left Cartan matices. Then we devote to considering the coresolution dimensions of recollement of comodule categories by investigating covariantly finite subcategories.
Keyword ：
computable comodule computable comodule triangular matrix coalgebra triangular matrix coalgebra Recollement Recollement
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| GB/T 7714 | Fu, Xuerong , Yao, Hailou , Hu, Yonggang . Triangular matrix coalgebras: Representation theory and recollement [J]. | JOURNAL OF ALGEBRA AND ITS APPLICATIONS , 2023 , 22 (02) . |
| MLA | Fu, Xuerong et al. "Triangular matrix coalgebras: Representation theory and recollement" . | JOURNAL OF ALGEBRA AND ITS APPLICATIONS 22 . 02 (2023) . |
| APA | Fu, Xuerong , Yao, Hailou , Hu, Yonggang . Triangular matrix coalgebras: Representation theory and recollement . | JOURNAL OF ALGEBRA AND ITS APPLICATIONS , 2023 , 22 (02) . |
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Abstract ：
We describe the Gorenstein derived categories of Gorenstein rings via the homotopy categories of Gorenstein injective modules. We also introduce the concept of Gorenstein cosilting complexes and study its basic properties. This concept is generalized by cosilting complexes in relative homological methods. Furthermore, we investigate the existence of the relative version of the Bongartz's theorem and construct a Bongartz's complement for a Gorenstein precosilting complex.
Keyword ：
Gorenstein cosilting complex Gorenstein cosilting complex Gorenstein derived category Gorenstein derived category Gorenstein injective module Gorenstein injective module
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| GB/T 7714 | Yao, Hailou , Yuan, Qianqian . THE BONGARTZ'S THEOREM OF GORENSTEIN COSILTING COMPLEXES [J]. | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY , 2023 , 60 (6) : 1337-1364 . |
| MLA | Yao, Hailou et al. "THE BONGARTZ'S THEOREM OF GORENSTEIN COSILTING COMPLEXES" . | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 60 . 6 (2023) : 1337-1364 . |
| APA | Yao, Hailou , Yuan, Qianqian . THE BONGARTZ'S THEOREM OF GORENSTEIN COSILTING COMPLEXES . | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY , 2023 , 60 (6) , 1337-1364 . |
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Abstract ：
n-Igusa-Todorov algebras are closely related to the finitistic dimension conjecture. Each n-Igusa-Todorov algebra has finite finitistic dimension. In this article, we find some new criteria for algebras being n-Igusa-Todorov algebras (here n = 0, 1). As applications, we extend the proof of the finitistic dimension conjecture to several new classes of algebras.
Keyword ：
Finitistic dimension Finitistic dimension Primary Primary syzygy finite syzygy finite Igusa-Todorov algebras Igusa-Todorov algebras Secondary Secondary triangular matrix algebra triangular matrix algebra
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| GB/T 7714 | Hu, Yonggang , Yao, Hailou . Some new criteria for small Igusa-Todorov algebras [J]. | COMMUNICATIONS IN ALGEBRA , 2021 . |
| MLA | Hu, Yonggang et al. "Some new criteria for small Igusa-Todorov algebras" . | COMMUNICATIONS IN ALGEBRA (2021) . |
| APA | Hu, Yonggang , Yao, Hailou . Some new criteria for small Igusa-Todorov algebras . | COMMUNICATIONS IN ALGEBRA , 2021 . |
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Abstract ：
基于倾斜理论引入了倾斜投射模的概念.讨论了它的基本性质,并进一步引入了模的倾斜投射维数以及Artin代数的倾斜整体维数.令G是有限群,研究了Artin R-代数Λ和斜群代数ΛG的倾斜整体维数之间的关系,得到等式t.gl.dim(Λ)=t.gl.dim(ΛG).
Keyword ：
倾斜整体维数 倾斜整体维数 倾斜投射分解 倾斜投射分解 倾斜模 倾斜模 斜群代数 斜群代数 倾斜投射模 倾斜投射模 倾斜投射维数 倾斜投射维数
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| GB/T 7714 | 姚海楼 , 吕鑫龙 . 斜群代数的倾斜维数 [J]. | 北京工业大学学报 , 2021 , 47 (2) : 201-208 . |
| MLA | 姚海楼 et al. "斜群代数的倾斜维数" . | 北京工业大学学报 47 . 2 (2021) : 201-208 . |
| APA | 姚海楼 , 吕鑫龙 . 斜群代数的倾斜维数 . | 北京工业大学学报 , 2021 , 47 (2) , 201-208 . |
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Abstract ：
Let Gamma be a Gorenstein coalgebra over a filed k. We introduce the Gorenstein transpose via a minimal Gorenstein injective copresentation of a quasi-finite Gamma-comodule, and obtain a relation between a Gorenstein transpose of a quasi-finite comodule and a transpose of the same comodule. As an application, we obtain that the almost split sequences are constructed in terms of Gorenstein transpose.
Keyword ：
Gorenstein coalgebra Gorenstein coalgebra transpose transpose Gorenstein injective comodule Gorenstein injective comodule almost split sequence almost split sequence
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| GB/T 7714 | Li, Yexuan , Yao, Hailou . THE GORENSTEIN TRANSPOSE OF COMODULES [J]. | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY , 2021 , 58 (4) : 1019-1033 . |
| MLA | Li, Yexuan et al. "THE GORENSTEIN TRANSPOSE OF COMODULES" . | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 58 . 4 (2021) : 1019-1033 . |
| APA | Li, Yexuan , Yao, Hailou . THE GORENSTEIN TRANSPOSE OF COMODULES . | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY , 2021 , 58 (4) , 1019-1033 . |
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Abstract ：
在阿贝尔范畴中引入了纯投射维数的概念.令Rab(A,B,C)为阿贝尔范畴黏合,讨论了三个阿贝尔范畴之间的纯投射对象和纯投射维数的关系.作为应用,研究了形式三角矩阵环上的纯投射模及纯投射维数.最后,证明了在一定条件下,阿贝尔范畴B的纯投射维数有限当且仅当阿贝尔范畴A与C的纯投射维数有限.
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| GB/T 7714 | 闫美琪 , 姚海楼 . 阿贝尔范畴黏合上的纯投射维数 [J]. | 山东大学学报（理学版） , 2021 , 56 (8) : 1-5 . |
| MLA | 闫美琪 et al. "阿贝尔范畴黏合上的纯投射维数" . | 山东大学学报（理学版） 56 . 8 (2021) : 1-5 . |
| APA | 闫美琪 , 姚海楼 . 阿贝尔范畴黏合上的纯投射维数 . | 山东大学学报（理学版） , 2021 , 56 (8) , 1-5 . |
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Abstract ：
Tilting theory plays an important role in the representation theory of coalgebras. This paper seeks how to apply the theory of localization and colocalization to tilting torsion theory in the category of comodules. In order to better understand the process, we give the (co)localization for morphisms, (pre)covers and special precovers. For that reason, we investigate the (co)localization in tilting torsion theory for coalgebras.
Keyword ：
(co)localization (co)localization tilting comodule tilting comodule (pre)cover (pre)cover torsion theory torsion theory
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| GB/T 7714 | Li, Yuan , Yao, Hailou . Localization and Colocalization in Tilting Torsion Theory for Coalgebras [J]. | CZECHOSLOVAK MATHEMATICAL JOURNAL , 2021 , 71 (3) : 663-688 . |
| MLA | Li, Yuan et al. "Localization and Colocalization in Tilting Torsion Theory for Coalgebras" . | CZECHOSLOVAK MATHEMATICAL JOURNAL 71 . 3 (2021) : 663-688 . |
| APA | Li, Yuan , Yao, Hailou . Localization and Colocalization in Tilting Torsion Theory for Coalgebras . | CZECHOSLOVAK MATHEMATICAL JOURNAL , 2021 , 71 (3) , 663-688 . |
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Abstract ：
本文研究了平凡扩张余代数上的倾斜余模.在倾斜理论的基础上,首先得到了平凡扩张余代数整体维数的上界,然后获得了平凡扩张余代数上的倾斜余模的等价条件.这些结果推广了倾斜模的结论.
Keyword ：
倾斜余模 倾斜余模 平凡扩张余代数 平凡扩张余代数 总体维数 总体维数 Gorenstein内射余模 Gorenstein内射余模
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| GB/T 7714 | 李烨暄 , 姚海楼 . 平凡扩张余代数上的倾斜余模（英文） [J]. | 数学杂志 , 2021 , 41 (04) : 283-297 . |
| MLA | 李烨暄 et al. "平凡扩张余代数上的倾斜余模（英文）" . | 数学杂志 41 . 04 (2021) : 283-297 . |
| APA | 李烨暄 , 姚海楼 . 平凡扩张余代数上的倾斜余模（英文） . | 数学杂志 , 2021 , 41 (04) , 283-297 . |
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