Pradyumna Kumar Pattnaik

The flow dynamics in nanofluidic systems have important applications and uses such as cooling of microelectronic devices, where space constraints are critical, in solar energy collectors and in thermal storage systems. Inspired by this objective, this study analyses the two-dimensional circulation of a radiative nanofluid above an exponentially extending plane, modulated by position-dependent heat generation/absorption and cross-diffusion interactions. The mass as well as heat transfer phenomena are explored by integrating the effects of Brownian motion and thermophoresis. By utilizing similarity transformations, the flow’s fundamental partial differential equations (PDEs) are transformed into a collection of nonlinear ordinary differential equations (ODEs). The nonlinear system is addressed via MATLAB’s bvp5c solver. The predictions are displayed graphically and discussed. The outcomes reveal that the suction term efficiently stabilizes the boundary layers by removing fluid and particle solute from the close-wall region, resulting in improved heat and mass transport. Thermal analysis showed that the variable heat source, heat radiation and Prandtl number strongly influence the temperature distribution. Raising the Dufour number redistributed energy in the nanofluid and reduced thermal transport at the wall, but a higher Soret number strengthened thermally stimulated mass diffusion, thereby increasing the Sherwood number.

An investigation on the convective heat transportation features of a magnetised Williamson nanofluid over a radiative permeable sheet is presented in this article. The interaction of an irregular heat source/sink along with thermal radiation brings a novel approach to the flow phenomena. The nanofluid, comprising of two-phase model based upon the impact of Brownian and thermophoresis boosts up the thermal combined with solutal profile significantly under the influence of an applied magnetised field. The standard modelled partial differential equations are renovated into a couple of nonlinear ordinary differential equations by implementing suitable similarity transformations. Further, a numerical solution employing the Runge-Kutta fourth-order with an integrating shooting technique is adopted to resolve the resulting system of equations. The influence of pertinent parameters, including the magnetic field strength, thermal radiation parameter, and irregular heat source/sink parameters, is systematically analysed. The enhancement of heat transfer in nanofluid-based systems, influenced by magnetic fields and non-uniform heat sources or sinks, plays a critical role in various industrial and biological applications. This is particularly significant in designing and optimising of heat exchangers, electronic cooling systems, and energy-efficient processes, as well as in drug delivery systems. In an outstanding outcome it is revealed that, the dominance of elastic forces over the viscous forces for the increasing Williamson parameter significantly retards the velocity as well as temperature distribution.

Photovoltaic cooling processes combined with solar thermal collectors in tools used in mining, etc., suffer from reduced efficiency because of inadequate heat dissipation under transient conditions. This is happening in the compact and porous geometries. To address these issues with advanced thermal management solutions, heat dissipation challenges under different conditions are adopted. The present investigation aims to analyze the time-dependent squeezing of water-based hybrid nanofluid comprising cadmium telluride (CdTe) and zinc oxide (ZnO) nanoparticles through two parallel plates embedded within the porous matrix. The objective is to quantify the enhanced thermal properties offered by hybrid nanoparticles under the mechanism of heat dissipation that are relevant to solar energy systems. The proposed mathematical model presented in non-dimensional form is converted into dimensionless form by the suitable choice of distinct transformation rules. Further, simulation of the characterizing factors is attained numerically utilizing traditional fourth-order Runge–Kutta method associated with the shooting technique, and the physical behavior of these factors is presented graphically. Model validation is performed through comparison with previously published results for the comparative analysis between single nanofluid and bi-hybrid nanofluid. The hybrid nanofluid consistently shows a higher Nusselt number compared to the conventional nanofluid, with the percentage difference ranging approximately from 12% to 25% across the parameter variations. The improvement is more pronounced in the upper-plate values, where the hybrid nanofluid reaches enhancements of up to 30%, indicating stronger thermal transport capability. Finally, by integrating advanced heat dissipation in the proposed model, which offers the development of photovoltaic cooling and solar thermal systems, contributes to sustainable and efficient energy solutions.