Unsteady magneto-nanofluid flow caused by a rotating cone with temperature dependent viscosity: A surgical implant application

Numerical investigation of the impact of temperature-dependent thermal conductivity and viscosity on thermo-particle heat transfer through stationary sphere and using plume

Nanofluids have a wide range of applications due to their unique properties, such as enhanced thermal conductivity, convective heat transfer, and mass transfer. These applications can be seen in heat exchangers, cooling systems, and electronic devices to improve thermal performance. To enhance the cooling efficiency and lifespan of electronic devices such as smartphones, televisions, and computers nanofluids are used. These novel types of fluids can be used in energy storage systems, cancer treatment, imaging, and drug deliveryKeeping in mind, the real-time applications in engineering, industry, and science, the current study is carried out. In the present study for heat and mass transportation, the two-phase Buongiorno model for nanofluid is employed to scrutinize Brownian motion and thermophoresis aspects using stationary sphere and plume region. The temperature-dependent viscosity and thermal conductivity effects are encountered in momentum and energy equations, respectively are encountered. The proposed mechanism in the partial differential equations having dimensional form is converted to a non-dimensional form using appropriate dimensionless variables. The solution of the current non-linear and coupled model is obtained using the finite difference method. The numerical solutions presented in graphs and tables indicate that along with heat and mass transfer phenomena are entirely dependent on thermophoresis, Brownian motion, temperature-dependent viscosity, and thermal conductivity. The results indicate that the quantitative behavior of the velocity field is enhanced by increasing values of thermal conductivity variation parameters for both the sphere and the plume region at each position. On the other hand, the reverse trend is noted against the rising magnitudes of the viscosity variation parameter, thermophoresis parameter, and Brownian diffusion parameter. Additionally, the temperature in the plume region declines to enhance thermal conductivity variation parameter. A test for grid independence was performed by considering various grid points. Excellent solution accuracy has been seen as the number of grid points has risen. This ensures the validity and accuracy of the currently employed method. The current results are compared with already published solutions for the validation of the current model for specific cases. It has been noted that there is excellent agreement between both of the results. This close agreement between the results indicates the validation of the current solutions.

Linear Temporal Stability Analysis of Dual Solutions for a Ti-Alloy Nanofluid with Inclined MHD and Joule Effects: Flow Separation

The impacts of tilted magnetic field and Joule heating on a Ti-alloy nanofluid towards an exponentially permeable stretching/shrinking surface have been looked into in this article. The Tiwari and Das model is adopted for the nanofluid where water is taken as the base fluid and Ti-alloy as the nanoparticles. The dual solutions of the resultant non-dimensional flow equations are evaluated using Shooting and 4th order Runge-Kutta methods and then linear temporal stability analysis is conducted to verify its stability through the smallest eigenvalue approach. The graphical representation of the results for the Ti-alloy/water nanofluid is presented to illustrate interesting features and its stability in the presence of physically effective parameters like inclined magnetic, Joule, volume fraction, and suction parameters. Outcomes of the numerical findings indicate that the dual/multiple solutions are possible only within the limited range of inclined magnetic and suction parameters. Through eigenvalue patterns, it is noticed that the 1st solution is realistic and stable while the 2nd solution is unreliable for each combination. In addition, the streamlines are also displayed to visualize the flow patterns of the Ti-alloy nanofluid. Also, the flow separation point is found in between the shrinking and stretching regions. Finally, the delay of boundary layer separation is pointed out with the enhancing values of volume fraction of Ti-alloy nanoparticles and magnetic parameter in the presence of suction. This kind of analysis performs a very crucial role in the medical sector, aerodynamics and space sciences.