A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0

Abstract Von Kármán problem of infinite disk is re-examined when fluid under consideration is elastico-viscous, satisfying the constitutive relations of Walters-B model. Main target here is to demonstrate how the presence of elasticity alters heat transfer phenomenon for the said problem especially...

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Autores principales:	M. Burhan Jafeer, M. Mustafa
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/30a5881768ac4eaf8111faf101a2406d
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spelling	oai:doaj.org-article:30a5881768ac4eaf8111faf101a2406d2021-12-02T13:34:46ZA study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.010.1038/s41598-021-83864-z2045-2322https://doaj.org/article/30a5881768ac4eaf8111faf101a2406d2021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-83864-zhttps://doaj.org/toc/2045-2322Abstract Von Kármán problem of infinite disk is re-examined when fluid under consideration is elastico-viscous, satisfying the constitutive relations of Walters-B model. Main target here is to demonstrate how the presence of elasticity alters heat transfer phenomenon for the said problem especially when heat dissipation term is included in the analysis. We assume a self-similarity solution that results in a system of coupled non-linear equations. An easy to use package BVPh 2.0 based on the homotopy analysis method is used to present series solutions for values of elastico-viscous fluid parameter ( $$K$$ K ) in the range $$0 \le K \le 1$$ 0 ≤ K ≤ 1 . Residuals are evaluated numerically at various order of approximations which depict that obtained solutions converge to the exact solutions. Boundary layer is substantially suppressed due to the consideration of elastico-viscous fluid assumption. Furthermore, velocity of the entrained fluid is inversely proportional to the parameter $$K$$ K . The results predict a substantial drop in heat transfer rate whenever elasticity effects are present. A considerable role of heat dissipation towards thickening of thermal boundary layer is apparent from the findings.M. Burhan JafeerM. MustafaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q M. Burhan Jafeer M. Mustafa A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0
description	Abstract Von Kármán problem of infinite disk is re-examined when fluid under consideration is elastico-viscous, satisfying the constitutive relations of Walters-B model. Main target here is to demonstrate how the presence of elasticity alters heat transfer phenomenon for the said problem especially when heat dissipation term is included in the analysis. We assume a self-similarity solution that results in a system of coupled non-linear equations. An easy to use package BVPh 2.0 based on the homotopy analysis method is used to present series solutions for values of elastico-viscous fluid parameter ( $$K$$ K ) in the range $$0 \le K \le 1$$ 0 ≤ K ≤ 1 . Residuals are evaluated numerically at various order of approximations which depict that obtained solutions converge to the exact solutions. Boundary layer is substantially suppressed due to the consideration of elastico-viscous fluid assumption. Furthermore, velocity of the entrained fluid is inversely proportional to the parameter $$K$$ K . The results predict a substantial drop in heat transfer rate whenever elasticity effects are present. A considerable role of heat dissipation towards thickening of thermal boundary layer is apparent from the findings.
format	article
author	M. Burhan Jafeer M. Mustafa
author_facet	M. Burhan Jafeer M. Mustafa
author_sort	M. Burhan Jafeer
title	A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0
title_short	A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0
title_full	A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0
title_fullStr	A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0
title_full_unstemmed	A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0
title_sort	study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using ham based package bvph 2.0
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/30a5881768ac4eaf8111faf101a2406d
work_keys_str_mv	AT mburhanjafeer astudyofelasticoviscousfluidflowbyarevolvingdiskwithheatdissipationeffectsusinghambasedpackagebvph20 AT mmustafa astudyofelasticoviscousfluidflowbyarevolvingdiskwithheatdissipationeffectsusinghambasedpackagebvph20 AT mburhanjafeer studyofelasticoviscousfluidflowbyarevolvingdiskwithheatdissipationeffectsusinghambasedpackagebvph20 AT mmustafa studyofelasticoviscousfluidflowbyarevolvingdiskwithheatdissipationeffectsusinghambasedpackagebvph20
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A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0

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