Search

The significance of studying biological interactions of micro swimmers in a complex wavy canal with MHD effects lies in its potential to provide insight into the behavior and dynamics of microorganisms in natural environments that contain complex fluid flow and magnetic fields. Current investigation explores the biological interactions between micro swimmers and Cross fluid with inclined MHD effects in a complex wavy canal. There are several factors of medium for micro swimmers like nature, magnetic field, liquid rheology and position. These interactions are hereby witnessed by utilizing the Cross fluid along with Taylor swimming sheet model under the influence of porous and inclined magnetic effect. Furthermore, two-dimensional complex wavy cervical canal is being utilized at inclined angle. By help of lubrication assumption, reduction of momentum equation is made and hence fourth-order differential equation associated with boundary conditions is obtained. Bvp4c command in Matlab is utilized for this boundary value problem. Obtained bvp4c solution is verified with finite difference method and found smooth agreement. Magnetic force enhances the swimming speed and reduction is seen for the power dissipation and effective role is seen for swimming motion with cross fluid rheology. The channel walls (peristaltic nature) and porous medium can be utilized as alternative factors to control the speed of the propeller. [ABSTRACT FROM AUTHOR]

Viscosity of fluid keeps its leading role in the polymer process, biological fluids, mayonnaise, colloidal suspensions, melt solutions and lubrication models. The Carreau nanofluid viscosity model can explain features of non-Newtonian fluids in the shear-thinning/thickening regions. This article describes the Lorentz force effects with the use of the infinite shear rate of the Carreau viscosity model and thermal radiation along with the influence of non-uniform heat source/sink transportation phenomenon of heat over the surface. The transformations of dimensionless variables are implemented to convert the partial differential equations into nonlinear coupled ordinary differential equations (ODEs). The solution of these ODEs is performed using the Runge–Kutta Fehlberg method along with the shooting scheme. The effects of the We, Pr, M, Nr, β*, β, B*and A*parameters denote the Weissenberg number, Prandtl number, radiation parameter, temperature ratio parameter, viscosity ratio parameter, stretching parameter, coefficients of space and temperature-dependent heat source/sink. For the correctness and exactness of the scheme, a comparison study is also provided based on the present results and the published results. [ABSTRACT FROM AUTHOR]

This struggle is part of a responsible method for the development of nanoscience and nanotechnology inspect closely of nanofluid. The conformist melting phenomena for steady Falkner–Skan flow of Cross nanofluid is considered. The Buongiorno model is used to discuss the thermal efficacies of the fluid flows in the presence of nanoparticles. MATLAB's scheme of bvp4c is adopted to solve these non-linear ODEs and graphical results are presented in the form of graphs and tables. The main findings of the study are velocity boost up for melting heat and velocity ratio parameter. Concentration goes down for the Brownian motion of molecules and arises for thermophoresis diffusion. [ABSTRACT FROM AUTHOR]