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Aligned Magnetic and Bioconvection Effects on Tangent Hyperbolic Nanofluid Flow Across Faster/Slower Stretching Wedge with Activation Energy: Finite Element Simulation

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Abstract

The underlying work includes the time-dependent flow and improved thermal transport for tangent hyperbolic nanofluids across an extending wedge. Self-motile microorganisms are suspended in the fluid to avoid agglomeration of tiny particles. Moreover, magnetic field, heat source, convectively heated boundary, and activation energy are considered. Mathematical formulation based on usual laws of conservation is non dimensionalized with emerging parameters through implementation of similarity transform to yield a corresponding set of ordinary partial differential equations. In the face of convective non linearity, a finite element discretization is harnessed to be coded and run on Matlab platform. The parametric calculation are carried out for faster and slower wedge. The rising strength of wedge angle, unsteadiness, and material law index recede the velocity distribution. The distribution of temperature upgrades directly against growing of Hartman number, thermophoresis, Biot number, material law index, and Brownian motion parameters. The concentration profile of nanoparticles decrease against Lewis number and activation energy, but it rises directly with higher input of activation energy. The computational results obtained through Matlab code blocks are corroborated with the existing literature and found to be a tolerable correlation.

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Acknowledgements

The authors wish to convey their sincere thanks to all the esteemed reviewers for their comments and suggestions based upon which the present version of the manuscript has been revised. One of the authors (B. Ali) is thankful to the Northwestern Polytechnical University, Xian, China, for providing sufficient research facility to carried out this investigation.

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Authors and Affiliations

  1. Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, 127 West Youyi Road, Xi’an, 710072, China

    Bagh Ali

  2. School of Aerospace and Mechanical Engineering, Nanyang Technological University, Jurong West, Singapore

    Sajjad Hussain

  3. School of Software, Northwestern Polytechnical University, Xi’an, 710072, China

    Syed Irfan Raza Naqvi

  4. Department of Mathematics, Government College University, Fasilabad Layyah Campus, Fasilabad, Pakistan

    Danial Habib

  5. School of Mathematics, Northwest University, No. 229 North Taibai Avenue, Xi’an, 7100069, China

    Sohaib Abdal

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  1. Bagh Ali
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  4. Danial Habib
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Contributions

Bagh Ali: Modeled the problem, methodology, Matlab software, and writing the original draft. Sajjad Hussain: Contributed to the results and discussions, supervision, and project administration. Syed Irfan Raza Naqvi: Thoroughly checked the mathematical modeling and English corrections. Danial Habib: Writing-review, Editing, and visualization. Sohaib Abdal: Writing review and editing. All authors finalized the manuscript after its internal evaluation. Declaration

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Correspondence to Bagh Ali.

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Ali, B., Hussain, S., Naqvi, S.I.R. et al. Aligned Magnetic and Bioconvection Effects on Tangent Hyperbolic Nanofluid Flow Across Faster/Slower Stretching Wedge with Activation Energy: Finite Element Simulation. Int. J. Appl. Comput. Math 7, 149 (2021). https://doi.org/10.1007/s40819-021-01097-0

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