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. 2021 Jun 17;22(12):6494. doi: 10.3390/ijms22126494
y1 constricted channel’s lower wall
y2 constricted channel’s upper wall
h1 upper wall constriction height
h2 lower wall constriction height
π product of deformation rate’s component
πc critical value of π
py yield stress of the fluid
μβ plastic dynamic viscosity
u˜ velocity in x˜-direction
v˜ velocity in y˜-direction
ρ density
p˜ pressure
μ dynamic viscosity
β Casson fluid parameter
k Thermal conductivity
U characteristic flow velocity
D coefficient of mass diffusivity
J current density
B magnetic field
B0 uniform magnetic field strength
ν kinematic viscosity
ξ Transformed x-coordinate
η Transformed y-coordinate
Pr Prandtl number
c parameter defining weak/strong concentrations/turbulence
E electric field
q radiative heat flux
σ electrical conductivity
cp specific heat constant
L length among channel walls
T flow pulsation period
St Strouhal number
Da Darcy number
Re Reynolds number
M Hartmann number
μ Dynamic viscosity
μm medium’s magnetic permeability
Rd Radiation parameter
φ concentration profile
θ temperature profile
Sr Soret number
Peh Peclet number for heat transfer
Pem Peclet number for mass transfer
ψ stream function
ω vorticity function
Sk skin friction coefficient
Nu Nusselt number
Sh Sherwood number
ϵ pulsating amplitude
Re Reynolds number