Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law

Abstract

The effect of Stefan blowing on the Cattaneo–Christov characteristics of the Blasius-Rayleigh-Stokes flow of self-motive Ag-MgO/water hybrid nanofluids, with convective boundary conditions and a microorganism density, are examined in this study. Further, the impact of the transitive magnetic field, ablation/accretion, melting heat, and viscous dissipation effects are also discussed. By performing appropriate transformations, the mathematical models are turned into a couple of self-similarity equations. The bvp4c approach is used to solve the modified similarity equations numerically. The fluid flow, microorganism density, energy, and mass transfer features are investigated for dissimilar values of different variables including magnetic parameter, volume fraction parameter, Stefan blowing parameter, thermal and concentration Biot number, Eckert number, thermal and concentration relaxation parameter, bio-convection Lewis parameter, and Peclet number, to obtain a better understanding of the problem. The liquid velocity is improved for higher values of the volume fraction parameter and magnetic characteristic, due to the retardation effect. Further, a higher value of the Stefan blowing parameter improves the liquid momentum and velocity boundary layer thickness.

Assessment of irreversibility optimization in Casson nanofluid flow with leading edge accretion or ablation

“…$$\nu _{f}$$ is used for the kinematic viscosity. γ is the leading edge accretion/ablation parameter where ($${t}\cos \gamma \nu _{f} + \sin \gamma (\nu _{f}{x}/{U_{\infty }}$$)) must be higher than zero [34, 36].…”

“…𝜈 𝑓 is used for the kinematic viscosity. 𝛾 is the leading edge accretion/ablation parameter where (𝑡 cos 𝛾𝜈 𝑓 + sin 𝛾(𝜈 𝑓 𝑥∕𝑈 ∞ )) must be higher than zero [34,36].…”

“…The problem has the following governing equations for Casson nanofluid as in Refs. [34–37] $$\begin{equation} \displaystyle\frac{\partial u}{\partial x} + \displaystyle\frac{\partial v}{\partial y} = 0, \end{equation}$$ $$\begin{equation} \displaystyle\frac{\partial u}{\partial t} + {u}\displaystyle\frac{\partial u}{\partial x} + {v}\displaystyle\frac{\partial u}{\partial y} = {U_{\infty }}\displaystyle\frac{{\partial U_{\infty }}}{\partial x} + \displaystyle\frac{{\partial U_{\infty }}}{\partial t} + \displaystyle\frac{\mu _{f}}{\rho _{f}}\def\eqcellsep{&}\begin{pmatrix} 1 + \displaystyle\frac{1}{\beta } \end{pmatrix}\displaystyle\frac{\partial ^{2}{u}}{\partial {y^{2}}} - \displaystyle\frac{\sigma _{f}{B^{2}_{0}}u}{\rho _{f}}, \end{equation}$$ …”

“…Vasu et al [35] investigated the MHD bioconvection nanofluid flow of Casson thin film with uniform thickness using the Buongiorno nanofluid model. Jiang et al [36] studied the Stefan blowing effect on hybrid nanfluid in connection with Cattaneo-Christov heat and mass flux theory as well as gyrotactic microorganisms through bvp4c approach. Ali et al [37] inspected a mathematical model of MHD nanofluid flow considering Cattaneo-Christov heat flux in which Cattaneo-Christov heat flux model has proved the enhanced results.…”

“…Jiang et al. [36] studied the Stefan blowing effect on hybrid nanfluid in connection with Cattaneo–Christov heat and mass flux theory as well as gyrotactic microorganisms through bvp4c approach. Ali et al.…”