Insight into the dynamics of micropolar fluid about a vertical cone when nonlinear thermal radiation is significant: The case of triple mixed convection

• Published in: Heat transfer (Hoboken, N.J. Print) Vol. 51; no. 4; pp. 3431 - 3455
• Main Authors: Patil, P. M., Shankar, H. F.
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc 01.06.2022
• Subjects: Boundary conditions; Buoyancy; Concentration gradient; Convection; convective boundary condition; cross‐diffusion; Differential equations; Drag coefficients; Fluid dynamics; Liquid flow; Mass transfer; Mathematical analysis; micropolar fluid; Micropolar fluids; mixed convection; nonlinear convection; nonlinear thermal radiation; Parameters; Prandtl number; Radiation; Thermal radiation
• ISSN: 2688-4534; 2688-4542
• DOI: 10.1002/htj.22458

This novel research investigates the nonlinear triple diffusive combined convective micropolar liquid flow past a vertical cone in the presence of nonlinear thermal radiation, cross‐diffusion, and a convective boundary condition. We aim to analyze this present problem using nonsimilar transformations. This report presents the significance of nonlinear mixed convection, energy flux due to the concentration gradient, and mass flux due to the temperature gradient and nonlinear thermal radiation in the dynamics of the fluid subject with micropolar fluid is presented. The differential equations defining the boundary‐layer parameters are then transformed into dimensionless view, taking into account the nonsimilar transformation. Furthermore, the method of quasilinearization and implicit finite difference approximation is used to work out the nondimensional governing equations for the solution. The velocity pattern diminishes, while dimensionless temperature and concentration distributions enhance with growing values of microrotation parameter. Furthermore, species concentrations of the fluid increase with increasing Soret effect values, while opposite results appear for mass transfer rates. Also, drag coefficient enhances for assisting buoyancy flow whilst diminishes for opposing buoyancy flow with increasing values of the microrotation parameter. The microrotation pattern reduces with growing values of the nonsimilarity characteristics. Furthermore, the Prandtl number is displayed on a comparison graph, and the results are very similar.