Comparative study on electromagnetohydrodynamic single-wall carbon nanotube–water dusty nanofluid in the presence of radiation and Ohmic heating

The main intention of this article is to explore the significance of electronmagnetohydrodynamic (EMHD) dusty nanofluid on the stagnation point flow in the presence of radiation and Ohmic heating. Water is considered as base fluid with single-wall carbon nanotubes along with suspended dust particles. The numerical solutions for both dusty phase and fluid phase differential systems are obtained by using Runge Kutta 4th order with shooting method. Influence of embedded parameters such as Biot number, electric field, viscous dissipation, magnetic field, thermal radiation, Joule heating and stagnation point flow are presented graphically. Dust particles play a significant role in food pharmaceutical industries particularly for efficient cultivation of microorganisms and also these type of studies may be applicable in atmospheric fields, wastewater treatment, metal objects covered with plastic materials and solids drying. The higher values of electric field parameter ( E) increases the fluid phase velocity and dusty phase velocity. An increase in the thermal radiation parameter releases thermal energy into the flow, so this energy helps to increase the fluid phase temperature and dusty phase temperature. The fluid phase temperature and dusty phase temperature declines with increasing the electric field parameter for dusty fluid and dusty nanofluid cases.

A comparative study of Al2O3 and TiO2 nanofluid flow over a wedge with non-linear thermal radiation

Purpose The purpose of this study is to analyze the impact of chemical reaction and thermal radiation on mixed convection flow, heat and mass transfer characteristics of nanofluid through a wedge occupied with water–TiO2 and water–Al2O3 made nanofluid by considering velocity, temperature and concentration slip conditions in present investigation. Design/methodology/approach Using acceptable similarity transformations, the prevailing partial differential equations have been altered into non-linear ordinary differential equations and are demonstrated by the diverse thermophysical parameters. The mathematical model is solved numerically by implementing Galarkin finite element method and the outcomes are shown in tables and graphs. Findings The temperature and concentration fields impede as magnetic field parameter improves in both water–Al2O3 and water–TiO2 nanofluid. While there is contradiction in the velocity field as the values of magnetic field parameter rises in both nanofluids. The non-dimensional velocity rate, rate of temperature and rate of concentration rise with improved values of Weissenberg number. Originality/value Nanofluid flows past wedge-shaped geometries have gained much consideration because of their extensive range of applications in engineering and science, such as, magnetohydrodynamics, crude oil extraction, heat exchangers, aerodynamics and geothermal systems. Virtually, these types of nanofluid flows happen in ground water pollution, aerodynamics, retrieval of oil, packed bed reactors and geothermal industries.

A Computational Analysis of Two-Phase Casson Nanofluid Passing a Stretching Sheet Using Chemical Reactions and Gyrotactic Microorganisms

In this study, an attempt is made to explore the two-phase Casson nanofluid passing through a stretching sheet along a permeable surface with the effects of chemical reactions and gyrotactic microorganisms. By utilizing the strength of similarity transforms the governing PDEs are transformed into set of ODEs. The resulting equations are handled by using a proficient numerical scheme known as the shooting technique. Authenticity of numerical outcomes is established by comparing the achieved results with the MATLAB built-in solver bvp4c. The numerical outcomes for the reduced Nusselt number and Sherwood number are exhibited in the tabular form, while the variations of some crucial physical parameters on the velocity, temperature, and concentration profiles are demonstrated graphically. It is observed that Local Nusselt number rises with the enhancement in the magnetic field parameter, the porous media parameter, and the chemical reactions, while magnetic field parameter along with porous media parameter retards the velocity profile.

Кольцевые волны на поверхности жидкости в кулоновском поле

Regularities of realization of instability of ring waves on the surface of conductive liquid in the Coulomb field are investigated. The relation for connection of frequency of ring capillary and gravitational waves on a surface of liquid in non-uniform electrostatic field of a dot charge with physical parameters of a task and with an analog of wave number is brought. By analogy with the field parameter of Tonks-Frenkel the field parameter characterizing stability of a surface of conductive liquid in the non-uniform Coulomb field is determined. It is found that critical conditions of realization of instability of ring waves on the surface of conductive liquid in the Coulomb field are more soften than critical conditions of realization of instability of Tonks-Frenkel.