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比例-Caputo 混合和 Atangana-Baleanu 分数导数自然对流换热的新型比较案例研究

A novel comparative case study of entropy generation for natural convection flow of proportional-Caputo hybrid and Atangana baleanu fractional derivative.

机构信息

Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand.

Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, Thonburi (KMUTT), King Mongkut's University of Technology, 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand.

出版信息

Sci Rep. 2021 Nov 23;11(1):22761. doi: 10.1038/s41598-021-01946-4.

DOI:10.1038/s41598-021-01946-4
PMID:34815434
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8611067/
Abstract

This article focused on the comparative study of entropy generation for natural convection flow of the newly proportional Caputo hybrid and Atangana baleanu fractional derivative. The governing equation is formed as the set of partial differential equations with the physical boundary conditions. The report of entropy generation is investigated for the first time for proportional-Caputo hybrid model and comparison are sorts out with generalized Atangana baleanu fractional derivative. The Bejan number is also compared for the mention fractional derivatives. Graphs show the impact of various factors on the minimization and maximizing of entropy production. The newly proportional Caputo hybrid operator has a good memory effect rather than Atangana baleanu fractional operator.

摘要

本文主要研究了新的比例型 Caputo 混合分数阶导数和 Atangana-Baleanu 分数阶导数对自然对流流动熵产生的比较研究。控制方程是由偏微分方程组和物理边界条件构成的。首次对比例型 Caputo 混合模型的熵产生进行了报告,并与广义 Atangana-Baleanu 分数阶导数进行了比较。还比较了提到的分数导数的 Bejan 数。图形显示了各种因素对熵产生最小化和最大化的影响。新的比例型 Caputo 混合算子具有良好的记忆效应,而不是 Atangana-Baleanu 分数阶算子。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/5eff114c5f45/41598_2021_1946_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/b2eafe2f3160/41598_2021_1946_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/2dd52386ee5d/41598_2021_1946_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/633c5c54cd20/41598_2021_1946_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/47bc44334d8b/41598_2021_1946_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/0491c1d483f5/41598_2021_1946_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/5eff114c5f45/41598_2021_1946_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/b2eafe2f3160/41598_2021_1946_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/2dd52386ee5d/41598_2021_1946_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/633c5c54cd20/41598_2021_1946_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/47bc44334d8b/41598_2021_1946_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/0491c1d483f5/41598_2021_1946_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/df40/8611067/5eff114c5f45/41598_2021_1946_Fig6_HTML.jpg

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