Motion of Casson-Williamson with MHD Chemically Reacting Nanofluids under the Influence of Nonlinear Buoyancy Force and Theories of Cattaneo-Christov
1 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
2 Department of Computer Science/Mathematics, Novena University, Ogume, Nigeria
3 Department of Mathematics and Statistics, First Technical University, Ibadan, Nigeria
* Corresponding author: sesan@unilorin.edu.ng
2 Department of Computer Science/Mathematics, Novena University, Ogume, Nigeria
3 Department of Mathematics and Statistics, First Technical University, Ibadan, Nigeria
* Corresponding author: sesan@unilorin.edu.ng
Abstract
The focus of this research is to examine the Cattaneo-Christov
heat and mass transfer processes on Casson-Williamson fluids
with nonlinear buoyancy force and thermal radiation. The
flow analysis was described by partial differential equations
(PDEs). The resulting PDEs were simplified by utilizing
suitable variables to derive coupled nonlinear total differential
equations. Spectral homotopy analysis method (SHAM) was
employed to solve the simplified equations. SHAM is the connections of Chebyshev differential matrix and homotopy analysis
method (HAM). This research is unique because it addressed
nonlinear buoyancy force significance on Casson-Williamson
with Cattaneo-Christov theories with Soret-Dufour, thermal
radiation, viscous dissipation, magnetic field parameter and
chemical reaction. A higher Casson parameter (β) is observed to
reduce the fluid velocity due to higher plastic dynamic viscosity.
Increase in nonlinear buoyancy parameter for both temperature
and concentration are noticed to enhance the fluid velocity.
Keywords
Casson-Williamson fluids
nonlinear buoyancy force
chemically reacting nanofluids Cattaneo-Christov and Spectral homotopy
How to Cite
Idowu, A. S., Falodun, B. O., Onwubuoya, C., & Aiyegbusi, F. O. (2022). Motion of Casson-Williamson with MHD Chemically Reacting Nanofluids under the Influence of Nonlinear Buoyancy Force and Theories of Cattaneo-Christov. Nigerian Journal of Mathematics and Applications, 32(2), 56-75. https://doi.org/10.67897/njma.2022.oj5zh04r
A. S. Idowu, B. O. Falodun, C. Onwubuoya, and F. O. Aiyegbusi, "Motion of Casson-Williamson with MHD Chemically Reacting Nanofluids under the Influence of Nonlinear Buoyancy Force and Theories of Cattaneo-Christov," Nigerian Journal of Mathematics and Applications, vol. 32, no. 2, pp. 56-75, December 2022. doi: 10.67897/njma.2022.oj5zh04r