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

Department of Mathematics, University of Central Florida Department of Mechanical, Materials and Aerospace Engineering University of Central FloridaOrlando, USA
Search for this author on
Sciendo|Google Scholar
Vajravelu, K.
, 
S. Sreenadh

S. Sreenadh

Department of Mathematics, Sri Venkateswara UniversityTirupati, India
Search for this author on
Sciendo|Google Scholar
Sreenadh, S.
 and 
R. Saravana

R. Saravana

Department of Mathematics, Madanapalle Institute of Technology and ScienceMadanapalle, India
Search for this author on
Sciendo|Google Scholar
Saravana, R.
  
Oct 18, 2017
Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
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
© 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
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.
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.
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.
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.
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.
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.
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.
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.
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.
Language:
English
Publication timeframe:
1 times per year
Journal Subjects:
Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
Journal RSS Feed