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

被引:20
作者
Saranya, S. [1 ]
Al-Mdallal, Qasem M. [1 ]
Animasaun, I. L. [1 ,2 ]
机构
[1] UAE Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
[2] Fed Univ Technol Akure, Dept Math Sci, Fluid Dynam & Survey Res Grp, PMB 704, Akure, Nigeria
关键词
Casson fluid; Carreau fluid; Static; moving wedge; Radiation; Gyrotactic microorganism; Shifted legendre collocation method; Time-dependent; UPPER HORIZONTAL SURFACE; BIOCONVECTION FLOW; HEAT-TRANSFER; WEDGE; NANOFLUID; FORCE;
D O I
10.1007/s13369-022-07087-8
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页码:3133 / 3155
页数:23
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