Shifted Legendre Collocation Analysis of Time-Dependent Casson Fluids and Carreau Fluids Conveying Tiny Particles and Gyrotactic Microorganisms: Dynamics on Static and Moving Surfaces

S. Saranya, Qasem M. Al-Mdallal, I. L. Animasaun

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

With an emphasis on the dynamics of (a) time-dependent fluids exhibiting plastic dynamic viscosity, (b) time-dependent fluids exhibiting limiting viscosities at zero, and at infinite shear rate such that each transport phenomenon conveys tiny particles and gyrotactic microorganisms, there is little or no method of solution for further analyses of the transport phenomenon when the migration of the tiny particles due to temperature gradient and its haphazard movement is strongly influenced by the fluid's concentration. Shifted Legendre Collocation method was developed and used to obtain the solution of the coupled, nonlinear, and dimensionless form of the dimensional Partial Differential Equation that models the transport phenomenon mentioned above, starting with the closed-form of Legendre polynomials (LPs) and considering shifted LPs that are orthogonal over the interval [− 1,1] with weighting function equivalent to unity. Based on the analysis of the given data, it is reasonable to conclude that Casson fluid has high values for local skin friction coefficient in the static wedge situation. In the Carreau fluid for moving wedge scenario, maximum values for local Nusselt number, local Sherwood number, and local density of motile microbe number are also mentioned.

Original languageEnglish
Pages (from-to)3133-3155
Number of pages23
JournalArabian Journal for Science and Engineering
Volume48
Issue number3
DOIs
Publication statusPublished - Mar 2023

Keywords

  • Carreau fluid
  • Casson fluid
  • Gyrotactic microorganism
  • Radiation
  • Shifted legendre collocation method
  • Static/moving wedge
  • Time-dependent

ASJC Scopus subject areas

  • General

Fingerprint

Dive into the research topics of 'Shifted Legendre Collocation Analysis of Time-Dependent Casson Fluids and Carreau Fluids Conveying Tiny Particles and Gyrotactic Microorganisms: Dynamics on Static and Moving Surfaces'. Together they form a unique fingerprint.

Cite this