Stability analysis of MHD radiative mixed convective flow in vertical cylindrical annulus: Thermal nonequilibrium approach

Abstract

In the present study, the influence of the induced magnetic field on the MHD mixed convective electrically conducting fluid flow inside the vertical cylindrical annulus is analyzed numerically. The heat transfer is presumed to be due to a combination of mixed convection and radiation. The stability of the flow is examined when the solid and fluid phases are not in local thermal equilibrium. The governing equations are solved numerically by both finite difference and finite element methods. To control the flow formation rate more accurately the induced magnetic field is also considered in this study. As the magnetic Prandtl number (Pm) and Hartmann number (M) get enhanced, the velocity and induced magnetic fields get retarded in the annulus due to the presence of drag‐like force, namely, the Lorentz force. When there is an increase in the mixed convection parameter the induced magnetic field gets enhanced. An increase in radiation parameter tends to decline the fluid temperature and reverse the behavior of the solid temperature. Increment in Pm decreases the wall shear stress near the conducting cylinder. Increasing values of porous, magnetic, and radiation parameters lead to an unstable system with smaller heat transfer coefficient values but the system gets stabilized for larger values of heat transfer coefficient. The results could be used as first‐hand information for comprehending and developing the thermal flow phenomenon in porous media. The obtained numerical results are in good accordance with the existing results. Using an artificial neural network, heat transfer characteristics are analyzed through mean square error and regression analysis.

Three-Dimensional Swirling Flow of Nanofluid with Nanoparticle Aggregation Kinematics Using Modified Krieger–Dougherty and Maxwell–Bruggeman Models: A Finite Element Solution

“…In addition to this, it is able to deal with issues that involve nonlinearities and time-dependent phenomena. The FEM may be utilized in a variety of contexts, such as in the fields of structural analysis, fluid dynamics, heat transfer, and electromagnetics (see [30][31][32][33][34]). The finite element method (FEM) has been utilized to solve the system of ODEs (Equations (16-18)) with boundary constraints (Equation ( 19)).…”

Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches

“…These models have been employed for the purpose of constructing predictive models for cardiovascular ailments, including hypertension, atherosclerosis, and aneurysms. Through the examination of extensive patient cohorts, researchers have the ability to instruct artificial neural network models to forecast the likelihood of disease development by utilizing diverse demographic, genetic, and environmental determinants [14][15][16][17][18][19][20]. Shilpa and Leela [21] explore the effects of local thermal nonequilibrium, induced magnetic field, and radiative heat on the magnetohydrodynamic mixed convective flow in the vertically circular permeable region.…”

Numerical study of thermal and solutal advancements in ZnO–SAE50 nanolubricant flow past a convergent/divergent channel with the effects of thermophoretic particle deposition

“…Srinivasacharya and Kumar 34 examined Casson fluid flow past a radial SS using the ANN approach. The heat transport attributes of the fluid flow using the ANN scheme were studied by Sedani et al 35 Recently, 36–40 have utilized the LM backpropagating algorithm to analyze the thermal and mass transmission characteristics in vertical geometries such as a vertical channel, vertical annulus and inclined annulus under significant effects such as heat generation/absorption, heat sources/sinks, chemical reactions and thermal non-equilibrium conditions.…”