<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we investigate the peristaltic transport of a two layered fluid model consisting of a Jeffrey fluid in the core region and a Newtonian fluid in the peripheral region. The channel is bounded by permeable heat conducting walls. The analysis is carried out in the wave reference frame under the assumptions of long wave length and low Reynolds number. The analytical expressions for stream function, temperature field, pressure-rise and the frictional force per wavelength in both the regions are obtained. The effects of the physical parameters associated with the flow and heat transfer are presented graphically and analyzed. It is noticed that the pressure rise decrease with increasing slip parameter <italic>β</italic> in the pumping region (Δ<italic>P</italic> > 0). The temperature field decreases with increasing Jeffrey number and the velocity slip parameter; whereas the temperature field increases with increasing thermal slip parameter. Furthermore, the size of the trapped bolus increases with increasing Jeffrey number and decreases with increasing slip parameter. We believe that this model can help in understanding the behavior of two immiscible physiological fluids in living objects.</p></abstract>

In this paper, we investigate the peristaltic transport of a two layered fluid model consisting of a Jeffrey fluid in the core region and a Newtonian fluid in the peripheral region. The channel is bounded by permeable heat conducting walls. The analysis is carried out in the wave reference frame under the assumptions of long wave length and low Reynolds number. The analytical expressions for stream function, temperature field, pressure-rise and the frictional force per wavelength in both the regions are obtained. The effects of the physical parameters associated with the flow and heat transfer are presented graphically and analyzed. It is noticed that the pressure rise decrease with increasing slip parameter β in the pumping region (ΔP > 0). The temperature field decreases with increasing Jeffrey number and the velocity slip parameter; whereas the temperature field increases with increasing thermal slip parameter. Furthermore, the size of the trapped bolus increases with increasing Jeffrey number and decreases with increasing slip parameter. We believe that this model can help in understanding the behavior of two immiscible physiological fluids in living objects.

Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid

University of Central Florida Department of Mechanical, Materials and Aerospace Engineering University of Central Florida

Madanapalle Institute of Technology and Science

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we investigate the peristaltic transport of a two layered fluid model consisting of a Jeffrey fluid in the core region and a Newtonian fluid in...

Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid

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.

Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid

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

KeywordsPeristalsis, 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.

Keywords
Peristalsis, two-layer flow, trapping phenomenon, Jeffrey fluid, Newtonian fluid, heat transfer