Importance of exponentially falling variability in heat generation on chemically reactive von kármán nanofluid flows subjected to a radial magnetic field and controlled locally by zero mass flux and convective heating conditions: A differential quadrature analysis

Abstract

Owing to the various physical aspects of nanofluids as thermally enhanced working fluids and the significance of swirling flows in rheological devices as well as in the spin coating and lubrication applications, the current comprehensive examination aimed to explore the important features of spinning flows of chemically reactive Newtonian nanofluids over a uniformly revolving disk in the existence of a radially applied magnetic field along with an exponentially decaying space-dependent heat source, in the case where the disk surface is heated convectively and unaffected by the vertical nanoparticles’ mass flux. Based on feasible boundary layer approximations and Buongiorno’s nanofluid formulation, the leading coupled differential equations are stated properly in the sense of Arrhenius’s and Von Kármán’s approaches. By employing an advanced generalized differential quadrature algorithm, the obtained boundary layer equations are handled numerically with a higher order of accuracy to generate adequate graphical and tabular illustrations for the different values of the influencing flow parameters. As findings, the graphical results confirm that the nanofluid motion decelerates meaningfully thanks to the resistive magnetic influence. A significant thermal amelioration can be achieved by strengthening the magnetic impact, the generation of heat, the thermal convective process, and the thermophoresis mechanism. Moreover, it is found that the thermo-migration of nanoparticles can be reinforced more via the intensification in the convective process, the thermo-migration of nanoparticles, and the activation energy.

Influences of blowing and internal heating processes on steady MHD mixed convective boundary layer flows of radiating titanium dioxide‐ethylene glycol nanofluids

“…Because of the nonlinearity mathematical character of the governing subsystems $$\{ {{S}_F,{S}_\Theta } \}$$ of Equation () and their whole differential coupling structures, the dimensionless quantities $$\{ {F^{\prime}( \xi ),\Theta ( \xi ),{C}_{fr},N{u}_r} \}$$ featuring the resulting coupled nonlinear boundary values problem can be generated numerically through GDQ's and NR's procedures [86–90] (i.e., by connecting computationally the generalized differential quadrature and Newton's‐Raphson procedures) based on Shu's algorithm [91] as clarified schematically in the flowchart of Figure 3. Moreover, the proposed GDQ's‐NT solution methodology is among the most important iterative collocation techniques due to its robustness and flexibility in solving such flow problems with an upper level of precision.…”

Electroosmotic MHD ternary hybrid Jeffery nanofluid flow through a ciliated vertical channel with gyrotactic microorganisms: Entropy generation optimization

“…Rasool et al's [ 20 ] investigation of EMHD-driven nanofluid flow through convective Riga surface for submissive control of alumina nanoparticles in aquatic medium. Wakif et al's [ 21 ] analysis highlights the significance of heat generation variability that is exponentially decreasing on chemically reactive nanofluid flows that are exposed to a radial magnetic field.…”

Convergence of several iterations for double‐diffusive natural convection model

“…Wakif and Shah [8] found that the convective heating reinforced the occurrence of the thermophoresis process. Besides, Wakif et al [9] found that the thermomigration of nanoparticles can be reinforced more via the intensification in the convective process, the thermomigration of nanoparticles, and the activation energy. The effects of thermal radiation and surface roughness on the complex dynamics of water conveying alumina and copper oxide nanoparticles were considered in Wakif et al [10].…”