Conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes

An analytical formulation, referred to as conjugated Graetz problems, is developed to predict the temperature distribution and Nusselt numbers for the power-law fluid flowing in a double-pass concentric circular heat exchanger under sinusoidal wall fluxes. A new design of inserting an impermeable sh...

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Autores principales:	Chii-Dong Ho, Gwo-Geng Lin, Thiam Leng Chew, Li-Pang Lin
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	power-law fluids sinusoidal wall fluxes concentric circular heat exchangers conjugated graetz problem Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/d22d2f5b2ec64f2396de5c997d16a238
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spelling	oai:doaj.org-article:d22d2f5b2ec64f2396de5c997d16a2382021-11-09T02:25:40ZConjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes10.3934/mbe.20212821551-0018https://doaj.org/article/d22d2f5b2ec64f2396de5c997d16a2382021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021282https://doaj.org/toc/1551-0018An analytical formulation, referred to as conjugated Graetz problems, is developed to predict the temperature distribution and Nusselt numbers for the power-law fluid flowing in a double-pass concentric circular heat exchanger under sinusoidal wall fluxes. A new design of inserting an impermeable sheet into a concentric tube, in parallel, to conduct recycling double-pass operations has been studied theoretically in the fully developed region, resulting in substantial improvements in the performance of heat exchanger device. The analytical solution was derived using the complex functions by transforming the boundary value problem into ordinary differential equations with the aid of the Frobenius method. The influences of power-law index and impermeable-sheet position on average Nusselt numbers with various designs and operating parameters are also delineated. The theoretical predictions show that the heat transfer efficiency is considerably improved through operating the double-pass device compared to via a single-pass circular heat exchanger (where an impermeable sheet is not inserted). The economic feasibility of operating double-pass concentric circular heat exchanger for power-law fluids is exemplified by the ratio of the heat-transfer efficiency enhancement and the increment in power consumption. The double-pass effect from increasing the convective heat-transfer coefficient can compensate for the rise in power consumption, which serves as important economic advantage of this design.Chii-Dong Ho Gwo-Geng LinThiam Leng ChewLi-Pang LinAIMS Pressarticlepower-law fluidssinusoidal wall fluxesconcentric circular heat exchangersconjugated graetz problemBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5592-5613 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	power-law fluids sinusoidal wall fluxes concentric circular heat exchangers conjugated graetz problem Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	power-law fluids sinusoidal wall fluxes concentric circular heat exchangers conjugated graetz problem Biotechnology TP248.13-248.65 Mathematics QA1-939 Chii-Dong Ho Gwo-Geng Lin Thiam Leng Chew Li-Pang Lin Conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes
description	An analytical formulation, referred to as conjugated Graetz problems, is developed to predict the temperature distribution and Nusselt numbers for the power-law fluid flowing in a double-pass concentric circular heat exchanger under sinusoidal wall fluxes. A new design of inserting an impermeable sheet into a concentric tube, in parallel, to conduct recycling double-pass operations has been studied theoretically in the fully developed region, resulting in substantial improvements in the performance of heat exchanger device. The analytical solution was derived using the complex functions by transforming the boundary value problem into ordinary differential equations with the aid of the Frobenius method. The influences of power-law index and impermeable-sheet position on average Nusselt numbers with various designs and operating parameters are also delineated. The theoretical predictions show that the heat transfer efficiency is considerably improved through operating the double-pass device compared to via a single-pass circular heat exchanger (where an impermeable sheet is not inserted). The economic feasibility of operating double-pass concentric circular heat exchanger for power-law fluids is exemplified by the ratio of the heat-transfer efficiency enhancement and the increment in power consumption. The double-pass effect from increasing the convective heat-transfer coefficient can compensate for the rise in power consumption, which serves as important economic advantage of this design.
format	article
author	Chii-Dong Ho Gwo-Geng Lin Thiam Leng Chew Li-Pang Lin
author_facet	Chii-Dong Ho Gwo-Geng Lin Thiam Leng Chew Li-Pang Lin
author_sort	Chii-Dong Ho
title	Conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes
title_short	Conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes
title_full	Conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes
title_fullStr	Conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes
title_full_unstemmed	Conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes
title_sort	conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/d22d2f5b2ec64f2396de5c997d16a238
work_keys_str_mv	AT chiidongho conjugatedheattransferofpowerlawfluidsindoublepassconcentriccircularheatexchangerswithsinusoidalwallfluxes AT gwogenglin conjugatedheattransferofpowerlawfluidsindoublepassconcentriccircularheatexchangerswithsinusoidalwallfluxes AT thiamlengchew conjugatedheattransferofpowerlawfluidsindoublepassconcentriccircularheatexchangerswithsinusoidalwallfluxes AT lipanglin conjugatedheattransferofpowerlawfluidsindoublepassconcentriccircularheatexchangerswithsinusoidalwallfluxes
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Conjugated heat transfer of power-law fluids in double-pass concentric circular heat exchangers with sinusoidal wall fluxes

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