RK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates

In this work, we studied the impacts of transmitting light, nonlinear thermal, and micropolar fluid mechanics on a wire surface coating utilizing non-Newtonian viscoelastic flow. Models with temperature-dependent variable viscosity were used. The boundary layer equations governing the flow and heat...

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Autores principales:	Zeeshan Khan, Waris Khan, Ilyas Khan, Nawa Alshammari, Nawaf N. Hamadneh
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	RK4 and HAM solutions Eyring–Powell fluid non-Newtonian fluid transverse MHD effect permeable matrix temperature-dependent viscosity Organic chemistry QD241-441
Acceso en línea:	https://doaj.org/article/6767d301e0c54ef8b34a96922785fa92
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spelling	oai:doaj.org-article:6767d301e0c54ef8b34a96922785fa922021-11-11T18:44:10ZRK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates10.3390/polym132136962073-4360https://doaj.org/article/6767d301e0c54ef8b34a96922785fa922021-10-01T00:00:00Zhttps://www.mdpi.com/2073-4360/13/21/3696https://doaj.org/toc/2073-4360In this work, we studied the impacts of transmitting light, nonlinear thermal, and micropolar fluid mechanics on a wire surface coating utilizing non-Newtonian viscoelastic flow. Models with temperature-dependent variable viscosity were used. The boundary layer equations governing the flow and heat transport processes were solved using the Runge–Kutta fourth order method. A distinguished constituent of this study was the use of a porous matrix that acted as an insulator to reduce heat loss. In this paper we discuss the effects of numerous development parameters, including <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>β</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>,</mo><mo> </mo><mi>m</mi><mo>,</mo><mo> </mo><mi>Ω</mi><mo>,</mo><mo> </mo><mi>K</mi><mi>p</mi></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mi>r</mi></mrow></semantics></math></inline-formula> (non-Newtonian parameter, heat-producing parameter, viscosity parameter, variable viscosity parameter, porosity parameter, and Brinkman number, respectively). Furthermore, the effects of two other parameters, <i>D</i> and <i>M</i>, are also discussed as they relate to velocity and temperature distributions. We observed that the velocity profiles decreased with increasing values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>p</mi></mrow></semantics></math></inline-formula>. Fluid velocity increased as the values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mo>,</mo><mo> </mo><mi>B</mi><mi>r</mi><mo>,</mo><mo> </mo><mi>N</mi></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>D</mi></semantics></math></inline-formula> increased, while it decreased when the values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>p</mi></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>Q</mi></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>D</mi></semantics></math></inline-formula> increased. For increasing values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>M</mi></semantics></math></inline-formula>, the temperature profile showed increasing behavior, while <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mi>r</mi><mrow><mo> </mo><mi>and</mi><mo> </mo></mrow><mi>Q</mi></mrow></semantics></math></inline-formula> showed decreasing behavior. Furthermore, the present work is validated by comparison with HAM and previously published work, with good results.Zeeshan KhanWaris KhanIlyas KhanNawa AlshammariNawaf N. HamadnehMDPI AGarticleRK4 and HAM solutionsEyring–Powell fluidnon-Newtonian fluidtransverse MHD effectpermeable matrixtemperature-dependent viscosityOrganic chemistryQD241-441ENPolymers, Vol 13, Iss 3696, p 3696 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	RK4 and HAM solutions Eyring–Powell fluid non-Newtonian fluid transverse MHD effect permeable matrix temperature-dependent viscosity Organic chemistry QD241-441
spellingShingle	RK4 and HAM solutions Eyring–Powell fluid non-Newtonian fluid transverse MHD effect permeable matrix temperature-dependent viscosity Organic chemistry QD241-441 Zeeshan Khan Waris Khan Ilyas Khan Nawa Alshammari Nawaf N. Hamadneh RK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates
description	In this work, we studied the impacts of transmitting light, nonlinear thermal, and micropolar fluid mechanics on a wire surface coating utilizing non-Newtonian viscoelastic flow. Models with temperature-dependent variable viscosity were used. The boundary layer equations governing the flow and heat transport processes were solved using the Runge–Kutta fourth order method. A distinguished constituent of this study was the use of a porous matrix that acted as an insulator to reduce heat loss. In this paper we discuss the effects of numerous development parameters, including <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>β</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>,</mo><mo> </mo><mi>m</mi><mo>,</mo><mo> </mo><mi>Ω</mi><mo>,</mo><mo> </mo><mi>K</mi><mi>p</mi></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mi>r</mi></mrow></semantics></math></inline-formula> (non-Newtonian parameter, heat-producing parameter, viscosity parameter, variable viscosity parameter, porosity parameter, and Brinkman number, respectively). Furthermore, the effects of two other parameters, <i>D</i> and <i>M</i>, are also discussed as they relate to velocity and temperature distributions. We observed that the velocity profiles decreased with increasing values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>p</mi></mrow></semantics></math></inline-formula>. Fluid velocity increased as the values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mo>,</mo><mo> </mo><mi>B</mi><mi>r</mi><mo>,</mo><mo> </mo><mi>N</mi></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>D</mi></semantics></math></inline-formula> increased, while it decreased when the values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>p</mi></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>Q</mi></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>D</mi></semantics></math></inline-formula> increased. For increasing values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>M</mi></semantics></math></inline-formula>, the temperature profile showed increasing behavior, while <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mi>r</mi><mrow><mo> </mo><mi>and</mi><mo> </mo></mrow><mi>Q</mi></mrow></semantics></math></inline-formula> showed decreasing behavior. Furthermore, the present work is validated by comparison with HAM and previously published work, with good results.
format	article
author	Zeeshan Khan Waris Khan Ilyas Khan Nawa Alshammari Nawaf N. Hamadneh
author_facet	Zeeshan Khan Waris Khan Ilyas Khan Nawa Alshammari Nawaf N. Hamadneh
author_sort	Zeeshan Khan
title	RK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates
title_short	RK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates
title_full	RK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates
title_fullStr	RK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates
title_full_unstemmed	RK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates
title_sort	rk4 and ham solutions of eyring–powell fluid coating material with temperature-dependent-viscosity impact of porous matrix on wire coating filled in coating die: cylindrical co-ordinates
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/6767d301e0c54ef8b34a96922785fa92
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RK4 and HAM Solutions of Eyring–Powell Fluid Coating Material with Temperature-Dependent-Viscosity Impact of Porous Matrix on Wire Coating Filled in Coating Die: Cylindrical Co-ordinates

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