Narrow Results

In this study, the numerous solutions to Falkner–Skan flow of a Maxwell fluid with nanoparticles are investigated, considering the nonlinear radiation and magnetic domain. The flow described above can be expressed in accordance with PDEs that are transformed into ODEs by choosing suitable variables of similarity. The fourth- and fifth-order Runge–Kutta–Fehlberg method can be utilized to solve these reduced ODEs by applying the shooting approach. The graphs were drawn to explain the effects of different parameters on different fluid profiles for both the lower- and upper-branch solutions. This study shows that the velocity outlines improve both solutions by increasing local Deborah numbers slightly. Besides, an increase in radiation reduces the thermal gradient for both solutions, thereby reducing the concentration gradient for both solutions contributing to raised Brownian motion and Lewis numbers.

We investigate the adsorption of helium in alkali wedges at zero temperature within a fully unrestricted density–functional theory. We have found a sequence of shapes that includes one filling transition on the nonwettable Cs and one emptying transition for every alkali, as well as a threshold for metastable configurations where helium does not populate the wedge apex.

In the recent years, nanotechnologies have been widely used in several fields regarding their rapid developments which creates a lot of prospects for researchers and engineers. More specifically, replacement of conventional liquids with nanoliquids is considered as an innovative solution to heat transfer problems. Keeping the aforesaid pragmatism of nanofluid in view, we have considered a time-dependent mathematical model to formulate the heat sink–source-based Sutterby liquid under thermophoretic and Brownian movements with wedge geometry. Additionally, convective condition, heat sink/source and chemical reaction properties are considered. Appropriate similarity transformations are used to obtain ordinary differential equations (ODEs) from the corresponding PDEs. Furthermore, coupled ODEs are tackled numerically by technique bvp4c in MATLAB. Discussion for thermal and concentration distribution is also presented graphically. Moreover, the temperature field enhance for Brownian parameter and decays for concentration field in this study. A similar impact has been examined for unsteadiness and chemical reaction parameters on concentration plot. Thermal distribution declines for boosted Prandtl number.

We investigate the adsorption of helium in alkali wedges at zero temperature within a fully unrestricted density–functional theory. We have found a sequence of shapes that includes one filling transition on the nonwettable Cs and one emptying transition for every alkali, as well as a threshold for metastable configurations where helium does not populate the wedge apex.