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Title: MHD Williamson nanofluid flow over a slender elastic sheet of irregular thickness in the presence of bioconvection
Authors: Wang, Fuzhang
Asjad, Muhammad Imran
Rehman, Saif Ur
Ali, Bagh
Hussain, Sajjad
Gia, Tuan Nguyen
Muhammad, Taseer
Keywords: Engineering::Mechanical engineering
Issue Date: 2021
Source: Wang, 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-.
Journal: Nanomaterials
Abstract: Bioconvection 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.
ISSN: 2079-4991
DOI: 10.3390/nano11092297
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 (
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Journal Articles

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