Publication de 18 numéros par an
ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561
Indexed in
FRACTAL HEAT TRANSFER IN WOOL FIBER HIERARCHY
RÉSUMÉ
As a natural keratin fiber, wool possesses an optimal tree-like hierarchical structure which endows the fiber with a special thermal property. A possible mechanism for the wool fiber's hierarchy is illustrated, and a modified Fourier's law is introduced using the recently proposed fractal derivative. The theoretical analysis shows that the wool fiber is of extraordinarily good property for unilateral heat conduction. The thermal conduction of the hierarchy is about three orders of magnitude more efficient than would be predicted from the conventional thermal theory for continuous fibers without hierarchical structure. A better understanding of the mechanism could help the further design of biomimetic artificial fibers or clothes for special applications.
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TIAN DAN, ZHOU CHAN-JUAN, HE JI-HUAN, HALL–PETCH EFFECT AND INVERSE HALL–PETCH EFFECT: A FRACTAL UNIFICATION, Fractals, 26, 06, 2018. Crossref
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WANG QINGLI, SHI XIANGYANG, HE JI-HUAN, LI Z. B., FRACTAL CALCULUS AND ITS APPLICATION TO EXPLANATION OF BIOMECHANISM OF POLAR BEAR HAIRS, Fractals, 26, 06, 2018. Crossref
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LU DIANCHEN, SULEMAN MUHAMMAD, HE JI HUAN, FAROOQ UMER, NOEIAGHDAM SAMAD, CHANDIO FARMAN ALI, ELZAKI PROJECTED DIFFERENTIAL TRANSFORM METHOD FOR FRACTIONAL ORDER SYSTEM OF LINEAR AND NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATION, Fractals, 26, 03, 2018. Crossref
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He Ji-Huan, Fractal calculus and its geometrical explanation, Results in Physics, 10, 2018. Crossref
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SULEMAN MUHAMMAD, LU DIANCHEN, HE JI HUAN, FAROOQ UMER, HUI YE SHENG, RAHMAN JAMSHAID UL, NUMERICAL INVESTIGATION OF FRACTIONAL HIV MODEL USING ELZAKI PROJECTED DIFFERENTIAL TRANSFORM METHOD, Fractals, 26, 05, 2018. Crossref
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Zheng Yawen, Zhou Xiang, Xing Zhiqi, Tu Tianmin, Exploring the underwater air-retaining ability and thermal insulating effect of terry fabrics inspired by Salvinia molesta, Textile Research Journal, 89, 14, 2019. Crossref
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Fan Jie, Yang Xue, Liu Yong, Fractal calculus for analysis of wool fiber: Mathematical insight of its biomechanism, Journal of Engineered Fibers and Fabrics, 14, 2019. Crossref
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Sarwar Ambreen, Gang Tao, Arshad Muhammad, Ahmed Iftikhar, Construction of bright-dark solitary waves and elliptic function solutions of space-time fractional partial differential equations and their applications, Physica Scripta, 95, 4, 2020. Crossref
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LI XUEJUAN, LIU ZHI, HE JI-HUAN, A FRACTAL TWO-PHASE FLOW MODEL FOR THE FIBER MOTION IN A POLYMER FILLING PROCESS, Fractals, 28, 05, 2020. Crossref
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Xu Bo, Zhang Sheng, Riemann–Hilbert Approach for Constructing Analytical Solutions and Conservation Laws of a Local Time-Fractional Nonlinear Schrödinger Type Equation, Symmetry, 13, 9, 2021. Crossref
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Tian Dan, He Chunhui, From Inner Topological Structure to Functional Nanofibers: Theoretical Analysis and Experimental Verification, Membranes, 11, 11, 2021. Crossref
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Xu Bo, Zhang Yufeng, Zhang Sheng, Mei Ming, Line Soliton Interactions for Shallow Ocean Waves and Novel Solutions with Peakon, Ring, Conical, Columnar, and Lump Structures Based on Fractional KP Equation, Advances in Mathematical Physics, 2021, 2021. Crossref
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Xu Bo, Zhang Yufeng, Zhang Sheng, Bueno Atila, Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry, Complexity, 2021, 2021. Crossref
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Yang Shu, Wang Yingwen, Xin Binjie, Composite Wadding of Down Fibers Encapsulated in Fabrics, Materials, 15, 8, 2022. Crossref
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Akgül Ali, Mallah Ishfaq Ahmad, Alha Subhash, New Aspects of Bloch Model Associated with Fractal Fractional Derivatives, Nonlinear Engineering, 10, 1, 2021. Crossref
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Xu Bo, Zhang Sheng, Nadeem Muhammad, Modified Homotopy Perturbation Method and Approximate Solutions to a Class of Local Fractional Integrodifferential Equations, Advances in Mathematical Physics, 2022, 2022. Crossref
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El-Nabulsi Rami Ahmad, Anukool Waranont, Nonlocal fractal neutrons transport equation and its implications in nuclear engineering, Acta Mechanica, 233, 10, 2022. Crossref