Search

The focus of present study is to incorporate the variable viscosity and temperature slip impact on heating rate and induced magnetic gradient along the moving non-conducting wedge under magnetic field. In industrial and engineering procedures, the impact of induced magnetization improves the efficiency of thermal systems to main the heating rates. The similarity transformations and stream functions are applied to reduce the governing equations into ordinary form. During this transformation, the pertinent parameters such as wedge parameter, moving parameter, Prandtl factor, viscosity parameter and temperature-slip parameter is obtained. These parameters play a prominent role on the physical values of fluid velocity, induced magnetic field and temperature distributions. The skin friction, Nusselt coefficient and induced magnetic gradient are incorporated through these parameters. The numerical values are executed by using the Keller box analysis with Newton–Raphson technique. It is depicted that the maximum slip in fluid velocity and temperature distribution is obtained for each values of thermal-slip parameter. It is noticed that maximum magnitude in induced magnetic field is reported for each wedge factor. The maximum velocity slip and temperature slip is observed for each choice of moving parameter. It is reported that the maximum variation in heating rate and induced magnetic gradient is obtained for magnetic force and viscosity parameter. The enhancing behavior of skin friction is observed for maximum values of Prandtl number. [ABSTRACT FROM AUTHOR]

Insertion of nanoparticles in ordinary materials to examine the performance of their improved thermal abilities in the fluid flow is the hot topic of the present period of scientific research. In addition, various engineering, physiological, and medical applications, e.g., heat exchangers, hybrid vehicles, war arms, drug deliveries, and different medicines of nanoparticles, are evident. Peristaltic mechanism has a vital role as a material carrier in various engineering and physiological processes. Thus, this attempt is accounted to study the nanoparticles flow via a rotating peristaltic channel in the presence of magnetohydrodynamics and compliant walls aspects. In addition, the effects of slip, Hall, heat generation/absorption, and non-linear thermal radiation are also considered. Furthermore, the flow equations are modeled using the definition of conservation laws. Expression for effective and base quantities of nanoparticles is also mentioned. The flow formulation is reduced by incorporating a low Reynolds number approximation and higher wavelength assumption. The obtained reduced system of equation is handled through a numerical procedure called the shooting algorithm. Then, the obtained solution is used to plot the behavior of quantities of interest against present dimensionless parameters. The obtained result indicates that axial and secondary velocities face negligible resistance for higher wall elastic properties, and thus, velocities enhance where the wall damping property produces maximum resistance to the flow with decay in both velocities. The second-order axial velocity slip parameter disturbs the symmetry of the velocity field. Due to the higher volume fraction of copper nanoparticles, a huge collision between particles is evident, as a response both axial and secondary velocities decay, and temperature enhances because of larger amount of collision. For higher radiation effects, the rate of heat transfer is maximum due to which the system's temperature declines. [ABSTRACT FROM AUTHOR]

Incorporating a topological defect and anisotropic plasma, this work used the generalized fractional of the Nikiforov–Uvarov technique to solve the fractional-radial Schrödinger equation in the longitudinal-transverse plane. The study produced wave functions and energy eigenvalues in their fractional forms. The results showed that the presence of an anisotropic plasma and a topological defect increases the dissociation energy of bottomonium. Furthermore, regardless of whether the fractional or classical models are taken into account, it was shown that the effect of temperature on the dissociation energy is stronger than the effect of baryonic chemical potential. In addition, the dissociation energy of bottomonium is significantly larger at lower chemical potential levels. Last but not least, the energy of bottomonium is only little influenced by magnetic auxiliaries. [ABSTRACT FROM AUTHOR]