The paradox of heat conduction, inﬂuence of variable viscosity, and thermal conductivity on magnetized dissipative Casson ﬂuid with stratiﬁcation models

Mojeed Taiwo Akolade; Amos Sesan Idowu; Bidemi. O. Falodun; Usman Abubakar

Ayuda

The paradox of heat conduction, inﬂuence of variable viscosity, and thermal conductivity on magnetized dissipative Casson ﬂuid with stratiﬁcation models

Akolade, Mojeed Taiwo ^[1] ; Idowu, Amos Sesan ^[1] ; Falodun, Bidemi. O. ^[1] ; Abubakar, Jos Usman ^[1]
1. [1] University of Ilorin
  
  University of Ilorin
  
  Nigeria
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 6, 2021, págs. 1657-1682
Idioma: inglés
DOI: 10.22199/issn.0717-6279-4357-3841
Enlaces
- Texto completo
Resumen
- The boundary layer ﬂow of temperature-dependent variable thermal conductivity and dynamic viscosity on ﬂow, heat, and mass transfer of magnetized and dissipative Casson ﬂuid over a slenderized stretching sheet has been studied. The model explores the Cattaneo-Christov heat ﬂux paradox instead of the Fourier’s law plus the stratiﬁcations impact. The variable temperature-dependent plastic dynamic viscosity and thermal conductivity were assumed to vary as a linear function of temperature. The governing systems of equations in PDEs were transformed into non-linear ordinary diﬀerential equations using the suitable similarity transformations, hence the approximate solutions were obtained using Chebyshev Spectral Collocation Method (CSCM). Effects of pertinent ﬂow parameters on concentration, temperature, and velocity proﬁles are presented graphically and tabled, therein, thermal relaxation and wall thickness parameters slow down the distribution of the ﬂowing ﬂuid. A rise in Casson parameter, temperature-dependent thermal conductivity, and velocity power index parameter increases the skin friction thus leading to a decrease in energy and mass gradient at the wall, also, temperature gradient attain maximum within 0.2 - 1.0 variation of Casson parameter.
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