Simulation of Thermo Diffusion on Three-Dimensional Flow of a Micropolar Liquid on an Inclined Convective Surface with Nonlinear Stretching Sheet

The present research explores the features of thermal and solutal transport of a 3D micropolar liquid stream on an elongated convectively heated inclined sheet taking Soret effect. Mathematical modelling is designed with the aid of suitable scaling analysis on the governing PDEs conceiving the small magnetic Reynolds number. The resultant set of coupled nonlinear ODEs are derived with MATLAB to obtain computational solutions. Impression of the emerged flow parameters on the three boundary layers is graphically traced and deliberated. The parameters of magnetic field and stretching ratio and power law index diminished frictional drag. Hike in rate of thermal diffusion is prevailed with stronger surface heat convective and Prandtl numbers. Outcomes are collated with the data available in the literature and found to agree very closely as a limiting case.

Physical Aspects on MHD Micropolar Fluid Flow Past an Exponentially Stretching Curved Surface

The present analysis is composed of heat transfer characteristics on MHD free convective stagnated flow of micropolar liquid due to stretching of an exponential curved sheet. The flow is supposed to be time-independent and not turbulent. The impact of non-linear radiation, unequal heat source/sink, Joule heating and variable thermal conductivity are supposed. Appropriate alterations are mused to change the original PDEs as ordinary ones and then solved by shooting and fourth order Runge-Kutta-Fehlberg integration schemes. Graphs are outlined to inspect the impacts of sundry non-dimensional variables on the distributions of velocity, micro rotation and temperature. We discern that there is an augmentation in the fields of heat with Eckert number, nonlinear radiation and irregular hear parameters. Also it is motivating to comment that material parameter is a decreasing function of velocity. We establish the consequences in this analysis evidence to be extremely agreeable with the obtainable consequences.

Magnetohydrodynamics mixed convective flow driven through a static wedge including TiO2 nanomaterial with micropolar liquid: Similarity dual solutions via finite difference method

This research scrutinizes the influence of titanium oxide (TiO2) nanoparticle on electrically conducting micropolar liquid driven through wedge with mixed convection and thermal radiation. Buoyancy opposing flow and buoyancy assisting flow are taken into consideration. Similarity parameters are employed to transmute the governing partial differential equations into ordinary differential equations and then obtained the dual solutions through finite difference method. Impacts of ensuing parameters on liquid velocity, temperature distribution, and microrotation field are described and argued. Dual solutions are realized in buoyancy opposing flow, whereas in buoyancy assisting flow outcome is unique. Nanoliquid velocity tends to decline in the first solution and enhances in the second solution due to nanoparticle volume fraction, whereas microrotation profiles increases in both solutions. Temperature distribution increases in the first solution and decreases in the second solution due to φ. Due to micropolar parameter, the velocity and microrotation profiles decrease in both solutions, whilst the temperature of fluid behaves in opposite manner. Results also showed that separation of boundary layer can be controlled through micropolar parameter and nanoparticle volume fraction. In addition, support of present outcomes is arranged through benchmarking by previous well-known limiting conditions and pledged that a fabulous agreement with these results.