Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition

Abstract This article presents the implementation of a numerical solution of bioconvective nanofluid flow. The boundary layer flow (BLF) towards a vertical exponentially stretching plate with combination of heat and mass transfer rate in tangent hyperbolic nanofluid containing microorganisms. We hav...

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Autores principales: Anum Shafiq, S. A. Lone, Tabassum Naz Sindhu, Q. M. Al-Mdallal, G. Rasool
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Publicado: Nature Portfolio 2021
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spelling oai:doaj.org-article:c5fe100bfb304f9792140f7c0b95a5af2021-12-02T18:34:20ZStatistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition10.1038/s41598-021-93329-y2045-2322https://doaj.org/article/c5fe100bfb304f9792140f7c0b95a5af2021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-93329-yhttps://doaj.org/toc/2045-2322Abstract This article presents the implementation of a numerical solution of bioconvective nanofluid flow. The boundary layer flow (BLF) towards a vertical exponentially stretching plate with combination of heat and mass transfer rate in tangent hyperbolic nanofluid containing microorganisms. We have introduced zero mass flux condition to achieve physically realistic outcomes. Analysis is conducted with magnetic field phenomenon. By using similarity variables, the partial differential equation which governs the said model was converted into a nonlinear ordinary differential equation, and numerical results are achieved by applying the shooting technique. The paper describes and addresses all numerical outcomes, such as for the Skin friction coefficients (SFC), local density of motile microorganisams (LDMM) and the local number Nusselt (LNN). Furthermore, the effects of the buoyancy force number, bioconvection Lewis parameter, bioconvection Rayleigh number, bioconvection Pecelt parameter, thermophoresis and Brownian motion are discussed. The outcomes of the study ensure that the stretched surface has a unique solution: as Nr (Lb) and Rb (Pe) increase, the drag force (mass transfer rate) increases respectively. Furthermore, for least values of Nb and all the values of Nt under consideration the rate of heat transfer upsurges. The data of SFC, LNN, and LDMM have been tested utilizing various statistical models, and it is noted that data sets for SFC and LDMM fit the Weibull model for different values of Nr and Lb respectively. On the other hand, Frechet distribution fits well for LNN data set for various values of Nt.Anum ShafiqS. A. LoneTabassum Naz SindhuQ. M. Al-MdallalG. RasoolNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Anum Shafiq
S. A. Lone
Tabassum Naz Sindhu
Q. M. Al-Mdallal
G. Rasool
Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition
description Abstract This article presents the implementation of a numerical solution of bioconvective nanofluid flow. The boundary layer flow (BLF) towards a vertical exponentially stretching plate with combination of heat and mass transfer rate in tangent hyperbolic nanofluid containing microorganisms. We have introduced zero mass flux condition to achieve physically realistic outcomes. Analysis is conducted with magnetic field phenomenon. By using similarity variables, the partial differential equation which governs the said model was converted into a nonlinear ordinary differential equation, and numerical results are achieved by applying the shooting technique. The paper describes and addresses all numerical outcomes, such as for the Skin friction coefficients (SFC), local density of motile microorganisams (LDMM) and the local number Nusselt (LNN). Furthermore, the effects of the buoyancy force number, bioconvection Lewis parameter, bioconvection Rayleigh number, bioconvection Pecelt parameter, thermophoresis and Brownian motion are discussed. The outcomes of the study ensure that the stretched surface has a unique solution: as Nr (Lb) and Rb (Pe) increase, the drag force (mass transfer rate) increases respectively. Furthermore, for least values of Nb and all the values of Nt under consideration the rate of heat transfer upsurges. The data of SFC, LNN, and LDMM have been tested utilizing various statistical models, and it is noted that data sets for SFC and LDMM fit the Weibull model for different values of Nr and Lb respectively. On the other hand, Frechet distribution fits well for LNN data set for various values of Nt.
format article
author Anum Shafiq
S. A. Lone
Tabassum Naz Sindhu
Q. M. Al-Mdallal
G. Rasool
author_facet Anum Shafiq
S. A. Lone
Tabassum Naz Sindhu
Q. M. Al-Mdallal
G. Rasool
author_sort Anum Shafiq
title Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition
title_short Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition
title_full Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition
title_fullStr Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition
title_full_unstemmed Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition
title_sort statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/c5fe100bfb304f9792140f7c0b95a5af
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