Effects of Constant and Space-Dependent Viscosity on Eyring–Powell Fluid in a Pipe: Comparison of the Perturbation and Explicit Finite Difference Methods.
The present study explores the effects of constant and space-dependent viscosity on Eyring–Powell fluid inside a circular pipe. The heat transfer analysis is also considered. Using the normalised quantities, the governing equations are transformed into dimensionless form, and then the solution of th...
| Publicado en: | Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 74; no. 11; pp. 961 - 970 |
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| Autores principales: | , , , , , , |
| Formato: | Artículo |
| Publicado: |
De Gruyter
Nov2019
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| Materias: | |
| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=139631564&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 139631564 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 09320784 FL07 jtl: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences issn: 09320784 maglogo: N pubinfo: dt: Nov2019 vid: 74 iid: 11 pid: 1734 pub: De Gruyter artinfo: ui: 139631564 10.1515/zna-2019-0095 ppf: 961 ppct: 9 formats: tig: atl: Effects of Constant and Space-Dependent Viscosity on Eyring–Powell Fluid in a Pipe: Comparison of the Perturbation and Explicit Finite Difference Methods. aug: au: Nazeer, Mubbashar Ahmad, Fayyaz Saleem, Adila Saeed, Mubashara Naveed, Sidra Shaheen, Mubarra Al Aidarous, Eman affil: Department of Mathematics, Riphah International University, Faisalabad Campus, Faisalabad 38000, Pakistan Department of Mathematics, King Abdul Aziz University, Jeddah, Saudi Arabia su: Finite difference method Nonlinear differential equations Viscosity Pipe Fluids Rheology Heat transfer Finite differences sug: subj: Finite difference method Nonlinear differential equations Viscosity Pipe Fluids Rheology Heat transfer Finite differences keyword: Explicit Finite Difference Method Eyring–Powell Fluid Heat Transfer Analysis Perturbation Method ab: The present study explores the effects of constant and space-dependent viscosity on Eyring–Powell fluid inside a circular pipe. The heat transfer analysis is also considered. Using the normalised quantities, the governing equations are transformed into dimensionless form, and then the solution of the constructed nonlinear differential equations is calculated. The perturbation method is used to find the analytical expressions of velocity and temperature profiles as a function of pipe radius. The perturbation solution is validated against explicit finite difference numerical method, and errors of each case are plotted. The accuracy in velocity and temperature of finite difference method relative to the perturbation method is of order 10 and 10, respectively, in both cases of constant and space-dependent viscosity. The effects of various emerging parameters, namely, modified rheological parameter λ (= 0.1) $\lambda\;\left({=0.1}\right)$ , pressure gradient parameter G (− 1 ≤ G ≤ − 0.4) $G\;\left({-1\leq G\leq-0.4}\right)$ , rheological parameter ξ (= 0.1) $\xi\;\left({=0.1}\right)$ and material parameter E (0.1 ≤ E ≤ 1) $E\;\left({0.1\leq E\leq 1}\right)$ on temperature and velocity fields, are discussed through plots. The heights of both profiles are maximal for the case of constant model as compared to the variable one. The numerical code is also validated with a previous study of Eyring–Powell fluid in a pipe. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2019 holdings: @attributes: islocal: N |
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