Inclined uniform magnetic field and mixed convention effects on micropolar non-Newtonian nanofluid Al2O3 flow with heat transfer are studied. The heat source, both viscous and ohmic dissipation and temperature micropolarity properties are considered. We transformed our system of non-linear partial differential equations into ordinary equations by using suitable similarity transformations. These equations are solved by making use of Rung–Kutta–Merson method in a shooting and matching technique. The numerical solutions of the tangential velocity, microtation velocity, temperature and nanoparticle concentration are obtained as functions of the physical parameters of the problem. Moreover, we discussed the effects of these parameters on the numerical solutions and depicted graphically. It is obvious that these parameters control the fluid flow. It is noticed that the tangential velocity magnifies with an increase in the value of Darcy number. Meanwhile, the value of the tangential velocity reduces with the elevation in the value of the magnetic field parameter. On the other hand, the elevation in the value of Brownian motion parameter leads to a reduction in the value of fluid temperature. Furthermore, increasing in the value of heat source parameter makes an enhancement in the value of nanoparticles concentration. The current study has many accomplishments in several scientific areas like medical industry, medicine, and others. Therefore, it represents the depiction of gas or liquid motion over a surface. When particles are moving from areas of high concentration to areas of low concentration.

The present paper analyzes the influences of entropy generation as well as slip velocity and temperature conditions on MHD micropolar biviscosity nanofluid flow through a porous medium in a channel with peristalsis. The fluid effects of mixed convection, radiation, viscous dissipation and thermal micropolar properties are taken into consideration. The assumptions of low-Reynolds number and long-wavelength are used to simplify the governing equations of this problem. A semi-analytical solutions of these equations are obtained by using homotopy perturbation method. Moreover, the entropy generation is obtained in this study. Results are discussed for various parameters of the problem and depicted graphically. Physically, our model is consistent with the motion of digestive juice in the bowel whenever we are going to insert an endoscopy through it.

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We present a full phenomenological and analytical study for the neutrino mass matrix characterized by two vanishing 2 × 2 subtraces. We update one past result in light of the recent experimental data. Out of the fifteen possible textures, we find seven cases can accommodate the experimental data instead of eight ones in the past study. We also introduce few symmetry realizations for viable and nonviable textures based on non-abelian (A 4 or S 4 ) flavor symmetry within type II seesaw scenario.