Multiple slip effects on time dependent axisymmetric flow of magnetized Carreau nanofluid and motile microorganisms

Abstract

This presented work investigate the bio-convections effects of the magnetized time dependent axisymmetric flow of Carreau-nanomaterial performances with multiple slip effects over a stretching sheet. The momentum, heat, concentration and density of motile micro-organism are renovated into the system of equation via using well known similarity revolution. Well known Mathematical computational techniques and software (i.e. bvp4c and MATLAB) are used to draw graphical and tabular results. Velocity profile equation $$f^{\prime}(\zeta )$$ f ′ ( ζ ) , energy equation $$\theta (\zeta )$$ θ ( ζ ) , volumetric nanoparticles $$\phi \,(\zeta )$$ ϕ ( ζ ) , density motile microorganism $$\chi (\zeta )$$ χ ( ζ ) .The Carreau viscosity model is use to reduce the viscosity of fluid when $$W_{e} = 0\,\,\,$$ W e = 0 and $$\,n = 0$$ n = 0 . Besides we moderate this into power law index with $$\,n = 0.5$$ n = 0.5 and $$\,n = 1.5$$ n = 1.5 partial slip condition of velocity is also instigated at the surface. Gravity dependent gyrotactic nanoparticles are utilized for well observing axisymmetric flow with convective boundary layer condition and comparatively better heat transfer rate result and applicable to maximum realistic approach.

Dynamics of thermal radiation and Lorentz force on the hybrid nanofluid (Ethylene Glycol + Graphene + Copper) flow via an exponentially stretching sheet with chemical reaction: An irreversibility analysis

“…As a prerequisite to writing the code, we must first accept the following assumptions (Waini et al [57]):…”

“…As a prerequisite to writing the code, we must first accept the following assumptions (Waini et al. [57]): $$$$\begin{equation*}f = {f}_1,\quad f^{\prime} = {f}_2,\quad f^{\prime\prime} = {f}_3,\quad f^{\prime\prime\prime} = {f}_4,\quad {f}^{iv} = {f}_5,\quad \theta = {f}_6,\quad \theta ^{\prime} = {f}_7,\quad \Phi = {f}_8,\quad \Phi ^{\prime} = {f}_9.\end{equation*}$$$$…”

“…Flow chart of bvp4c (Faiz et al[57]). TA B L E 2Validation of current findings by comparing them to those of past studies conducted under more specialized settings such as 𝑆 = 0, and 𝜙 1 = 𝜙 2 = 0.…”

Significance of thermal radiation and bioconvection for Williamson nanofluid transportation owing to cone rotation

“…Hall effect is taken in to consideration. The formulation of the leading equations is presented as [35][36][37][38][39][40] .…”