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dc.contributor.authorWang, Fuzhangen_US
dc.contributor.authorAsjad, Muhammad Imranen_US
dc.contributor.authorRehman, Saif Uren_US
dc.contributor.authorAli, Baghen_US
dc.contributor.authorHussain, Sajjaden_US
dc.contributor.authorGia, Tuan Nguyenen_US
dc.contributor.authorMuhammad, Taseeren_US
dc.identifier.citationWang, F., Asjad, M. I., Rehman, S. U., Ali, B., Hussain, S., Gia, T. N. & Muhammad, T. (2021). MHD Williamson nanofluid flow over a slender elastic sheet of irregular thickness in the presence of bioconvection. Nanomaterials, 11(9), 2297-.
dc.description.abstractBioconvection phenomena for MHD Williamson nanofluid flow over an extending sheet of irregular thickness are investigated theoretically, and non-uniform viscosity and thermal conductivity depending on temperature are taken into account. The magnetic field of uniform strength creates a magnetohydrodynamics effect. The basic formulation of the model developed in partial differential equations which are later transmuted into ordinary differential equations by employing similarity variables. To elucidate the influences of controlling parameters on dependent quantities of physical significance, a computational procedure based on the Runge-Kutta method along shooting technique is coded in MATLAB platform. This is a widely used procedure for the solution of such problems because it is efficient with fifth-order accuracy and cost-effectiveness. The enumeration of the results reveals that Williamson fluid parameter λ, variable viscosity parameter Λμ and wall thickness parameter ς impart reciprocally decreasing effect on fluid velocity whereas these parameters directly enhance the fluid temperature. The fluid temperature is also improved with Brownian motion parameter Nb and thermophoresis parameter Nt. The boosted value of Brownian motion Nb and Lewis number Le reduce the concentration of nanoparticles. The higher inputs of Peclet number Pe and bioconvection Lewis number Lb decline the bioconvection distribution. The velocity of non-Newtonian (Williamson nanofluid) is less than the viscous nanofluid but temperature behaves oppositely.en_US
dc.rights© 2021 The Author(s). Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
dc.subjectEngineering::Mechanical engineeringen_US
dc.titleMHD Williamson nanofluid flow over a slender elastic sheet of irregular thickness in the presence of bioconvectionen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Mechanical and Aerospace Engineeringen_US
dc.description.versionPublished versionen_US
dc.description.acknowledgementThe work was supported by the Natural Science Foundation of Anhui Province (Project No. 1908085QA09) and the Univeristy Natural Science Research project of Anhui Province (Project No. KJ2019A0591, KJ2020ZD008).en_US
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