Thermal radiation and elastic deformation effects on the flow of dusty Boger hybrid nanofluid with gyrotactic microbes and Stefan blowing

Abstract
The aim of this study is to inspect how dusty Boger hybrid nanofluid is affected by Stefan blowing and elastic deformation across a sheet in the occurrence of gyrotactic microorganisms. The impact of the Cattaneo–Christov flux model is examined in relation to the phenomena of mass and heat. The model predicts a steeper concentration gradient and a slower temperature distribution than Fourier\'s laws and traditional Fick\'s, respectively. The occurrence of gyrotactic microbes improves the flow properties. Optimizing the movement and dispersion of microbes is essential for numerous processes, including biofuel production\r\nand wastewater treatment, and can improve the design and performance of bioreactors. Environmental engineering can also help from this model, since it helps to explain how pollutants disperse in naturally occurring water bodies. Using\r\na latest kind of non-dimensional variables, the governing PDEs (partial differential equations) are changed into nonlinear ODEs (ordinary differential equations). We subsequent use the RKF-4th-5th method to mathematically resolve the ordinary\r\ndifferential equations. The outcomes show that both the dust and fluid phase temperature and solutal distributions decrease, the flow distributions for both phases grow as the Stephan blowing and elastic deformation parameters augment.

Author
Dana Mohammad Khidhir

DOI
https://doi.org/10.1007/s40430-025-06081-z

ISSN

Publish Date: 6-Jan-2026