Significance of variability in magnetic field strength and heat source on the radiative-convective motion of sodium alginate-based nanofluid within a Darcy-Brinkman porous structure bounded vertically by an irregular slender surface

The dynamical behavior and thermal transportation feature of an enhanced MHD convective Casson bi-phasic flows of sodium alginate-based nanofluids are examined numerically in a Darcy-Brinkman medium bounded by a vertical elongating slender concave-shaped surface. The mathematical framework of the present flow model is developed properly by adopting the single-phase approach, whose solid phase is selected to be metallic or metallic oxide nanoparticles. Besides, the influence of thermal radiation is taken into consideration in the presence of an internal variable heat generation. A set of feasible similarity transformations are applied for the conversion of the governing PDEs into a nonlinear differential structure of coupled ODEs. An advanced differential quadrature algorithm is employed herein to acquire accurate numerical solutions for momentum and energy equations. For validating the obtained numerical findings, extensive comparison tests are carried out in this sense. The results of the current exploration show that the wall heat transfer rate and the frictional effect are strengthened with the loading of nanoparticles and weakened with the mounting values of the heat source parameters. However, the magnetic parameter exhibits a reverse trend concerning those engineering quantities. Statistically, the slope linear regression method (SLRM) proves that the aurum-sodium alginate nanofluid presents the higher frictional factor, whereas the copper oxide-sodium alginate is the more thermal performant nanofluid.

Automated summary

Numerical examination of enhanced MHD convective Casson bi-phasic flows of sodium alginate-based nanofluids reveals that wall heat transfer rate and frictional effect are influenced by nanoparticle loading and heat source parameter values. Magnetic parameter exhibits a reverse trend compared to other engineering quantities.