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. 2019 Dec 22;22(1):18. doi: 10.3390/e22010018
MHD Magnetohydrodynamics
RK45 Runge-Kutta 45 Method
ODE Ordinary Differential Equation
PDE Partial Differential Equation
u,v Horizontal and vertical velocity components/m·s1
x,y Cartesian coordinates/m
uw=bxn Stretching velocity/m·s1
μ Dynamic viscosity/Pa·s
b Stretching rate/s1
ν Kinematic viscosity/m2·s1
B0 Applied magnetic field intensity/A·m1
k Thermal conductivity/W·m1·K1
ρfl Density/kg·m3
DB Brownian diffusion
DT Thermophoresis
T,T,Tw,Tfl Temperature distributions at various locations/K
C,C,Cw,Cfl Concentration distributions at various locations/kg·m3
σ Electric conductivity of the fluid/(Ω m)1
(ρc)p Nanoparticles’ productive heat capacity/J·m3·k1
(ρc)fl Fluid’s productive heat capacity/J·m3·k1
M Magnetic parameter
Cb Drag force coefficient
K Permeability of the porous medium
τ Ratio of heat capacity of fluid and nanoparticles
Kr Binary chemical reaction
E Activation energy
Dimensionless Parameters:
Sc Schmidt number
Pr Prandtl number
Nt Thermophoresis
Nb Brownian diffusion
Nux Nusselt factor (Heat flux parameter)
Shx Sherwood factor (Mass flux parameter)
W1 Weissenberg number
NG Entropy generation rate
β1 Temperature difference parameter
β2 Concentration difference parameter
Br1 Brinkman number
L1 Diffusion parameter
Fr Inertial force parameter
KR Binary chemical reaction parameter
E1 Activation energy parameter
EG Entropy generation
λ Porosity factor
η Variable
f Velocity
θ Temperature
ϕ Concentration