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Abstract
Electro-osmotic flow via a microchannel has numerous uses in the contemporary world, including in the biochemical and pharmaceutical industries. This research explores the electroosmotic flow of Casson-type nanofluid with Sodium Alginate nanoparticles through a vertically tilted microchannel. In addition, the transverse magnetic field is also considered. In this flowing fluid, the influence of heat and mass transmission is also explored. The aforementioned physical process is represented by partial differential equations. Utilizing suitable dimensionless variables for nondimensionalized. Furthermore, the non—dimensional classical system is fractionalized with the use of generalized Fourier and Fick's law. Generalizations are made using the Caputo derivative's description. The analytical solution of the velocity, temperature, and concentration profiles is obtained by combining the methods of Laplace and Fourier. Interestingly, the influence of several physical characteristics such as the fractional parameter, Casson fluid parameter, the thermal and mass Grashof numbers, and the zeta potential parameter is displayed. Moreover, the results show that the volume fractional of nanoparticles enhances the rate of heat transfer up to 39.90%, Skin friction up to 38.05%, and Sherwood number up to 11.11%. Also, the angle of inclination enhances the fluid velocity.
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Details
1 King Mongkut’s University of Technology Thonburi (KMUTT), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Department of Mathematics, Faculty of Science, Bangkok, Thailand (GRID:grid.412151.2) (ISNI:0000 0000 8921 9789)
2 Nigeria Maritime University, Department of Mathematics, Okerenkoko, Nigeria (GRID:grid.412151.2)
3 Munzur University, Department of Mechanical Engineering, Tunceli, Turkey (GRID:grid.449675.d) (ISNI:0000 0004 0399 619X)
4 King Mongkut’s University of Technology Thonburi (KMUTT), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Department of Mathematics, Faculty of Science, Bangkok, Thailand (GRID:grid.412151.2) (ISNI:0000 0000 8921 9789); King Mongkut’s University of Technology Thonburi (KMUTT), Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, Bangkok, Thailand (GRID:grid.412151.2) (ISNI:0000 0000 8921 9789); China Medical University, Department of Medical Research, China Medical University Hospital, Taichung, Taiwan (GRID:grid.254145.3) (ISNI:0000 0001 0083 6092)
5 King Mongkut’s University of Technology North Bangkok (KMUTNB), Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, Bangsue, Bangkok, Thailand (GRID:grid.443738.f) (ISNI:0000 0004 0617 4490)