Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet
The pivotal aim of this research is to address a natural stagnation bioconvection flow of a hybrid nanofluid containing gyrotactic microorganisms over an exponentially stretching and shrinking vertical sheet. The mathematical formulation of simplified Navier-Stokes equations is made in the presence...
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2023
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my.ump.umpir.400532024-01-18T04:43:41Z http://umpir.ump.edu.my/id/eprint/40053/ Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet Siti Khuzaimah, Soid Siti Nor Asiah, Ab Talib Nur Hazirah Adill, Norzawary Siti Suzilliana Putri, Mohamed Isa Muhammad Khairul Anuar, Mohamed QA Mathematics The pivotal aim of this research is to address a natural stagnation bioconvection flow of a hybrid nanofluid containing gyrotactic microorganisms over an exponentially stretching and shrinking vertical sheet. The mathematical formulation of simplified Navier-Stokes equations is made in the presence of a few parameters such as Prandtl number, concentration to thermal buoyancy ratio, microorganism to thermal buoyancy ratio, Lewis number, bioconvection Peclet number, bioconvection Lewis number, microorganisms concentration difference and buoyancy parameter. The two types of nanofluid containing titanium alloy (Ti6Al4V) and aluminium alloy (AA7075) immersed in water are considered for the investigation. In the analysis, the governing partial differential equations (PDEs) are transformed into a set of ordinary differential equations (ODEs) by a similarity transformation. The resulting equations are rewritten in MATLAB software through the Bvp4c method to obtain the solutions. The effects of hybrid nanofluid of titanium alloy (Ti6Al4V) and aluminium alloy (AA7075), microorganisms’ concentration difference parameter, and bioconvection Lewis Number are observed in this mathematical model in the presence of stretching and shrinking sheets. The numerical values are obtained for the skin friction coefficient, local Nusselt number, local Sherwood number, and local density of motile microorganisms for the reporting purpose. In addition, the profiles of the velocity, temperature, concentration, and microorganism are visualized as the main findings of this article. Semarak Ilmu Publishing 2023 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/40053/1/ARFMTS%20Soid%202023.pdf Siti Khuzaimah, Soid and Siti Nor Asiah, Ab Talib and Nur Hazirah Adill, Norzawary and Siti Suzilliana Putri, Mohamed Isa and Muhammad Khairul Anuar, Mohamed (2023) Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 107 (1). pp. 202-218. ISSN 2289 - 7879. (Published) https://doi.org/10.37934/arfmts.107.1.202218 10.37934/arfmts.107.1.202218 |
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QA Mathematics Siti Khuzaimah, Soid Siti Nor Asiah, Ab Talib Nur Hazirah Adill, Norzawary Siti Suzilliana Putri, Mohamed Isa Muhammad Khairul Anuar, Mohamed Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet |
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The pivotal aim of this research is to address a natural stagnation bioconvection flow of a hybrid nanofluid containing gyrotactic microorganisms over an exponentially stretching and shrinking vertical sheet. The mathematical formulation of simplified Navier-Stokes equations is made in the presence of a few parameters such as Prandtl number, concentration to thermal buoyancy ratio, microorganism to thermal buoyancy ratio, Lewis number, bioconvection Peclet number, bioconvection Lewis number, microorganisms concentration difference and buoyancy parameter. The two types of nanofluid containing titanium alloy (Ti6Al4V) and aluminium alloy (AA7075) immersed in water are considered for the investigation. In the analysis, the governing partial differential equations (PDEs) are transformed into a set of ordinary differential equations (ODEs) by a similarity transformation. The resulting equations are rewritten in MATLAB software through the Bvp4c method to obtain the solutions. The effects of hybrid nanofluid of titanium alloy (Ti6Al4V) and aluminium alloy (AA7075), microorganisms’ concentration difference parameter, and bioconvection Lewis Number are observed in this mathematical model in the presence of stretching and shrinking sheets. The numerical values are obtained for the skin friction coefficient, local Nusselt number, local Sherwood number, and local density of motile microorganisms for the reporting purpose. In addition, the profiles of the velocity, temperature, concentration, and microorganism are visualized as the main findings of this article. |
format |
Article |
author |
Siti Khuzaimah, Soid Siti Nor Asiah, Ab Talib Nur Hazirah Adill, Norzawary Siti Suzilliana Putri, Mohamed Isa Muhammad Khairul Anuar, Mohamed |
author_facet |
Siti Khuzaimah, Soid Siti Nor Asiah, Ab Talib Nur Hazirah Adill, Norzawary Siti Suzilliana Putri, Mohamed Isa Muhammad Khairul Anuar, Mohamed |
author_sort |
Siti Khuzaimah, Soid |
title |
Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet |
title_short |
Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet |
title_full |
Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet |
title_fullStr |
Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet |
title_full_unstemmed |
Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet |
title_sort |
stagnation bioconvection flow of titanium and aluminium alloy nanofluid containing gyrotactic microorganisms over an exponentially vertical sheet |
publisher |
Semarak Ilmu Publishing |
publishDate |
2023 |
url |
http://umpir.ump.edu.my/id/eprint/40053/1/ARFMTS%20Soid%202023.pdf http://umpir.ump.edu.my/id/eprint/40053/ https://doi.org/10.37934/arfmts.107.1.202218 |
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13.232414 |