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J. Prakash et al.
5.1 Electro-osmostic Flow Characteristics
To analyze the electro-osmotic flow characteristics under the effects of various physical parameters such as Debye–Hückel parameter (κ), Helmholtz–Smoluchowski
velocity (U hs), thermal Grashof number (Gr), and Species Grashof number (Br),
Figs. 2, 3, 4, and 5 are plotted between the axial velocity field transverse displacement.
The impact of electro-osmotic parameter κ (Debye–Hückel parameter) on the velocity profile is scrutinized in Fig. 2. There is a progressive boost and reduction in axial
velocity flow near the lower wall and the upper wall with increasing electro-osmotic
parameter.
The impact of Helmholtz–Smoluchowski velocity (i.e., maximum electro-osmotic
velocity) on dimensionless velocity function is manifested in Fig. 3. The behavior
of the axial velocity function is similar or that of Debye–Hückel parameter. Since
the electro-osmotic velocity enhances, the characteristic wave velocity diminishes
which accelerates the axial velocity at the core part of the channel.
Figure 4 demonstrates the evolution in dimensionless axial velocity for different
values of grashof number (Gr). It perceived that the axial velocity accelerates near
the upper wall and diminishes near the lower wall with the strengthening of Gr.
The response in the axial velocity field to the variation in nanoparticle Grashof
number (Br) through the asymmetric channel is exhibited in Fig. 5. It is explored
that the fluid velocity function dwindles with enhancing values of Br near the lower
wall and it reverses at the other side of the channel. It is important to notice that
Fig. 2 Effect of κ on velocity with a = 0.3, b = 0.5, d = 1, φ = π/3, Θ = 2, ξ = 0.01,
U hs = 1, Gr = 2, Br = 2, Pr = 0.7, N b = 0.2, N t = 0.2, Rn = 1, Bh 1 = 0.4, Bh 2 = 2, and
β = 0.2
J. Prakash et al.
5.1 Electro-osmostic Flow Characteristics
To analyze the electro-osmotic flow characteristics under the effects of various physical parameters such as Debye–Hückel parameter (κ), Helmholtz–Smoluchowski
velocity (U hs), thermal Grashof number (Gr), and Species Grashof number (Br),
Figs. 2, 3, 4, and 5 are plotted between the axial velocity field transverse displacement.
The impact of electro-osmotic parameter κ (Debye–Hückel parameter) on the velocity profile is scrutinized in Fig. 2. There is a progressive boost and reduction in axial
velocity flow near the lower wall and the upper wall with increasing electro-osmotic
parameter.
The impact of Helmholtz–Smoluchowski velocity (i.e., maximum electro-osmotic
velocity) on dimensionless velocity function is manifested in Fig. 3. The behavior
of the axial velocity function is similar or that of Debye–Hückel parameter. Since
the electro-osmotic velocity enhances, the characteristic wave velocity diminishes
which accelerates the axial velocity at the core part of the channel.
Figure 4 demonstrates the evolution in dimensionless axial velocity for different
values of grashof number (Gr). It perceived that the axial velocity accelerates near
the upper wall and diminishes near the lower wall with the strengthening of Gr.
The response in the axial velocity field to the variation in nanoparticle Grashof
number (Br) through the asymmetric channel is exhibited in Fig. 5. It is explored
that the fluid velocity function dwindles with enhancing values of Br near the lower
wall and it reverses at the other side of the channel. It is important to notice that
Fig. 2 Effect of κ on velocity with a = 0.3, b = 0.5, d = 1, φ = π/3, Θ = 2, ξ = 0.01,
U hs = 1, Gr = 2, Br = 2, Pr = 0.7, N b = 0.2, N t = 0.2, Rn = 1, Bh 1 = 0.4, Bh 2 = 2, and
β = 0.2