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Nomenclature
(a 1 , a 2 )
dimensional (wave) amplitude of the left and right walls
(a, b)
dimensionless amplitude of the left and right walls
(Bh 1 , Bh 2 ) heat transfer Biot numbers at left and right walls
Br
local nanoparticle Grashof number
c
wave speed
c
volumetric volume expansion coefficient
C
nanoparticle concentration,
C 0 , C 1
nanoparticle concentration at the left and right walls, respectively
D B
Brownian diffusion coefficient and
D T
themophoretic diffusion coefficient
d
dimensionless width of the channel
d
dt
material time derivative,
(d 1 + d 2 )
dimensional width of the left and right walls
e
fundamental charge
E x
applied electrical field
F
dimensionless mean flows
f
body force
Gr
local temperature Grashof number
H 1 , H 2
left and right wall boundaries of the micro-asymmetric channel
I
identity tensor
k B
Boltzmann constant
k
mean absorption coefficient
N t
thermophoresis parameter
N b
Brownian motion parameter
n 0
bulk concentration (number density)
Pr
Prandtl number
( p, P)
pressures in wave and fixed frame of references
Q 0
heat source/sink parameter
Q
dimensional volume flow rate in laboratory frame
R
Reynolds number
Rn
thermal radiation
S
extra stress tensor
S
∇
upper-convected derivative
t
dimensional time
T 0 , T 1
temperature at the left and right walls, respectively
T
nanoparticle temperature,
T n
absolute temperature
T m
fluid mean temperature
(U, V )
velocity components in the wave frame (X, Y )
(u, v)
velocity components in the (x, y)-directions