|
|
Coordinate measured in radial direction |
|
|
Velocity components along and directions |
|
|
Effective dynamic viscosity of nanofluid |
|
|
Density of nanofluid |
|
|
Kinematic viscosity of nanofluid |
|
|
Darcy-permeability of the porous medium |
|
|
Drag coefficient |
|
|
Volume fraction of dust particles |
|
|
Stokes resistance |
|
|
Number density of dust particles |
|
|
Electric conductivity |
|
|
Applied magnetic field |
|
|
Hall parameter |
|
md
|
Mass concentration of the dust particles |
|
knf
|
Effective thermal conductivity of the nanofluid |
| (ρCp)nf
|
Effective heat capacitance of the nanofluid |
|
N
1
|
Density of the particle phase |
|
τv
|
Relaxation time of dust particles |
|
τT
|
Thermal equilibrium time |
|
τw
|
Shear stress at the surface |
|
|
Entropy generation rate per unit volume |
|
|
Velocity components of particle phase in x and r directions |
|
|
Specific heat of the dust particles |
|
|
Velocity of the moving needle |
|
|
Velocity outside the boundary layer |
|
|
Dimensional temperature of the nanofluid |
|
|
Temperature of the dust particle |
|
|
Constant surface temperature of the thin needle |
|
|
Ambient temperature |
|
|
Porosity parameter |
|
|
Forchheimer parameter |
|
|
Dust particles mass concentration |
|
|
Fluid particle interaction parameter for velocity |
|
|
Magnetic field parameter |
|
|
Prandtl number |
|
|
Nonlinear radiation parameter |
|
|
Temperature ratio parameter |
|
|
Eckert number |
|
|
Fluid particle interaction parameter for temperature |
|
|
Ratio of specific heat |
|
|
Surface heat flux |
|
|
Entropy generation number |