The impact of double-diffusive convection on electroosmotic peristaltic transport of magnetized Casson nanofluid in a porous asymmetric channel

Bathmanaban, P; Siva, E P; Tripathi, D; Anwar Bég, O

Abstract

The primary objective of the present article is to investigate the heat and mass transfer in double diffusive mixed convection peristaltic flow of Casson nanofluid with solute diffusion through an asymmetric permeable channel filled with a porous medium in the presence of electroosmosis. Magnetohydrodynamics and radiative heat transfer are also considered. The study is motivated by industrial micro-pumping systems utilizing multi-functional nanomaterials. Researchers have investigated the distinct temperature and rheological properties of Casson nanofluids. Mixing nanoparticles with Casson fluid alters its flow characteristics and heat transmission, amalgamating different properties which are useful in a wide range of industrial and scientific applications. Buongiorno's two-component nanoscale model is deployed for simulating nanofluid transport, and the Rosseland diffusion flux is utilized for optically thick electromagnetic liquids. Heat generation or absorption and cross-diffusion (Soret and Dufour) effects are also incorporated in the model. An efficient analytical approach known as the long wavelength-low Reynolds number lubrication approximation (LWL-LRN) is utilized to solve the non-dimensional boundary value problem. Validation of the solutions with previous studies is included. Graphs are presented using MATLAB 2022b to visualize the influence of key parameters including permeability, magnetic field, thermal radiation, Grashof number, Brownian motion, thermophoresis, electrical field and Prandtl number on transport characteristics (velocity, temperature, concentration) and trapping phenomena associated with peristaltic propulsion. As thermophoresis and Brownian parameters are intensified, there is a strong response in nanoparticles which induces axial acceleration, as observed at locations y = 0.15, where u = 0.191, and y = 0.33, where u is elevated to 0.14. An increase in radiation parameter (í µí±í µí±›) results in a depletion in axial velocity magnitudes along the left half of the wall and also modifies velocity distribution in the right section of the microchannel. An increase in the thermal radiation parameter (Rn) and heat absorption (sink) (<0) is found to suppress temperatures. Increasing heat generation, thermal Grashof number (Gr) and solutal Grashof number (Gc) decelerate axial flow in the left half space but accelerate flow in the right half space of the micro-channel. Increasing radiation parameter and thermal Biot number boost temperatures when heat sink is present but reduce them when heat source (generation) is present. Increasing radiation parameter boosts nanoparticle volume fraction (concentration) whereas an elevation in heat generation and thermal Biot number both induce the opposite effect. Increasing magnetic field damps the flow and reduces the number of boluses present. However, bolus volume increases with greater thermal Grashof Number(í µí°ºí µí±Ÿ), Darcy (permeability) number (í µí°·í µí±Ž) and Helmholtz-Smoluchowski velocity (í µí±ˆℎí µí±) i.e. stronger axial electrical field.

Citation

Bathmanaban, P., Siva, E. P., Tripathi, D., & Anwar Bég, O. (in press). The impact of double-diffusive convection on electroosmotic peristaltic transport of magnetized Casson nanofluid in a porous asymmetric channel. ZAMM, https://doi.org/10.1002/zamm.202300771

• Journal Article Type: Article
• Acceptance Date: Jul 9, 2024
• Online Publication Date: Aug 8, 2024
• Deposit Date: Jul 9, 2024
• Publicly Available Date: Aug 9, 2025
• Journal: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
• Print ISSN: 0044-2267
• Publisher: Wiley-VCH Verlag
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1002/zamm.202300771
• Keywords: Casson nanofluid; Porous medium; Electroosmosis; Magnetohydrodynamics; Radiative heat transfer; Asymmetric channel; Double diffusion; Bio-inspired pumping; cross diffusion; heat generation; thermal Biot number