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Applied Mathematics and Nonlinear Sciences
Volume 2 (2017): Issue 2 (July 2017)
Open Access
Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid
K. Vajravelu
K. Vajravelu
,
S. Sreenadh
S. Sreenadh
and
R. Saravana
R. Saravana
| Oct 18, 2017
Applied Mathematics and Nonlinear Sciences
Volume 2 (2017): Issue 2 (July 2017)
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Published Online:
Oct 18, 2017
Page range:
429 - 442
Received:
Apr 05, 2017
Accepted:
Oct 18, 2017
DOI:
https://doi.org/10.21042/AMNS.2017.2.00034
Keywords
Peristalsis
,
two-layer flow
,
trapping phenomenon
,
Jeffrey fluid
,
Newtonian fluid
,
heat transfer
© 2017 K. Vajravelu, S. Sreenadh, R. Saravana, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Fig. 1
Physical Model
Fig. 2
The variation of shape of interface with μ = 0.1, Q¯=0.1 ${\bar Q = 0.1}$ , α = 0.7 for (a) φ = 0.4, β = 0.1, λ1 = 0.1, 10, 100, (b) φ = 0.5, β = 0.1, μ = 0.1, 1.0, 10, (c) φ = 0.5, μ = 0.1, β = 0.00, 0.04, 0.10.
Fig. 3
The variation of ΔP with Q¯ ${\bar Q}$ at φ = 0.5, α = 0.7 for (a) μ = 10, β = 0.1, λ1 = 0.1, 1.0, 2.0, (b) λ1 = 1, β = 0.1, μ = 0.8, 1.0, 1.4, (c) μ = 0.1, λ1 = 1, β = 0.0, 0.2, 0.4.
Fig. 4
The variation of ΔP0 with φ at α = 0.7 for (a) β = 0.1, μ = 10, λ1 = 0.1, 1.0, 10, (b) β = 0.1, λ1 = 1, μ = 0.1, 1.0, 10 100, (c) λ1 = 1, μ = 10, β = 0.0, 0.2, 0.3.
Fig. 5
The variation of F with Q¯ ${\bar Q}$ for different values of λ1 with fixed μ = 10, φ = 0.5, α = 0.7, β = 0.1.
Fig. 6
Temperature profiles at x = 0.5, φ = 0.6, α = 0.7 and Q¯=0.7 ${\bar Q = 0.7}$ for (a) μ = 1, Br = 0.2, k = 0.9, β = 0.01, γ = 0.01, λ1 = 0, 1, 2, 3, (b) λ1 = 1, μ = 0.1, Br = 0.1, k = 0.9, γ = 0.01, β = 0.00, 0.02, 0.06, 0.10, (c) λ1 = 1, Br = 0.1, k = 0.8, β = 0.01, γ = 0.01, μ = 0.1, 1.0, 2.0, 5.0, (d) λ1 = 1, Br = 0.1, μ = 0.1, β = 0.01, γ = 0.01, k = 0.8, 0.9, 1.0, 1.1 (e) λ1 = 1, μ = 0.1, k = 1, β = 0.02, γ = 0.02, Br = 0.1, 0.2, 0.3, 0.4 (f) λ1 = 1, μ = 0.1, k = 0.8, β = 0.1, Br = 0.1, γ = 0.01, 0.02, 0.03, 0.04.
Fig. 7
Streamlines for (a) λ1 = 0.0 (b) λ1 = 0.1 (c) λ1 = 0.2 (d) λ1 = 0.3 with α = 0.8, φ = 0.5, Q¯=0.7 ${\bar Q = 0.7}$ , β = 0.02, μ = 1.2.
Fig. 8
Streamlines for (a) β = 0.00 (b) β = 0.01 (c) β = 0.02 (d) β = 0.03 with α = 0.8, φ = 0.5, Q¯=0.8 ${\bar Q = 0.8}$ , λ1 = 0.1, μ = 1.2.
Fig. 9
Streamlines for (a) μ = 0.09 (b) μ = 1.0 (c) μ = 1.1 (d) μ = 1.2 with α = 0.8, φ = 0.5, Q¯=0.8 ${\bar Q= 0.8}$ , λ1 = 0.1, β = 0.02.