Computational Analysis for Bioconvection of Microorganisms in Prandtl Nanofluid Darcy–Forchheimer Flow across an Inclined Sheet

. 2022 May 24;12(11):1791. doi: 10.3390/nano12111791

$\tilde{u}$	Fluid velocity components along the $x - a x i s$
$\hat{N}$	Density of the motile microorganisms
$\tilde{v}$	Fluid velocity components along the $y - a x i s$
${\hat{C}}_{w}$	Concentration at the surface
g	Gravitational acceleration
$D_{B}$	Brownian diffusion coefficient
$ρ_{f}$	Fluid density
$D_{N}$	Diffusivity of the microorganisms
$ρ_{p}$	Mass density of the nanoparticles
$D_{T}$	Thermophoretic diffusion coefficient
$C_{f x}$	Skin friction
$\tilde{T_{w}}$	Temperature at the surface
$N u_{x}$	Nusselt number
$S h_{x}$	Sherwood number
$μ$	Dynamic viscosity
$ν$	Kinematic viscosity
$N t$	Thermophoresis parameter
$\tilde{N_{w}}$	Density of the motile microorganisms at the surface
${\tilde{D}}_{T}$	Thermophoretic diffusion coefficient
$\tilde{T_{\infty}}$	Ambient temperature
$C p$	Specific heat
$B_{0}$	Uniform magnetic field
$β, δ$	Fluid parameters
$\tilde{C_{\infty}}$	Ambient concentration
k	Porous medium permeability
$\tilde{N_{\infty}}$	Ambient motile microorganisms
$\tilde{C}$	Nanoparticles’ concentration
$W_{c}$	Constant maximum cell swimming speed
$η$	Similarity variable
$f (η)$	Dimensionless stream function
$f ’ (η)$	Dimensionless velocity profile
$θ (η)$	Dimensionless nanofluid temperature
$ϕ (η)$	Dimensionless nanofluid concentration
$χ (η)$	Dimensionless density of the motile microorganisms