Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-27T23:34:14.395Z Has data issue: false hasContentIssue false
  • English
  • Français

Heat Transfer Analysis for Peristalsis of MHD Carreau Fluid in a Curved Channel Through Modified Darcy Law

Published online by Cambridge University Press:  30 August 2018

A. Tanveer ,
T. Hayat ,
A. Alsaedi  and
B. Ahmad
A. Tanveer*
Affiliation:
Department of Mathematics Quaid-I-Azam University Islamabad, Pakistan Department of Mathematics Mirpur University of Science and Technology Azad Jammu and Kashmir Mirpur, Pakistan
T. Hayat
Affiliation:
Department of Mathematics Quaid-I-Azam University Islamabad, Pakistan Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics, Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
A. Alsaedi
Affiliation:
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics, Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
B. Ahmad
Affiliation:
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics, Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
*
* Corresponding author (anum@math.qau.edu.pk)
Get access

Abstract

The present analysis has been developed to investigate the heat transfer phenomenon in peristaltic flow of Carreau fluid in a curved channel with rhythmic contraction and expansion of waves along the walls (similar to blood flow in tubes). Magnetic field is imposed in radial direction. The heat transfer aspect is further studied with viscous dissipation effect. The curved channel walls are influenced by flow and thermal partial slip. In addition the flow stream comprised porous medium. The system of relevant non-linear PDEs have been reduced to ODEs by utilizing the long wavelength approximation. The striking features of flow and temperature characteristics under the involved parameters are examined by plotting graphs. The generation of fluid temperature and velocity due to viscous dissipation and gravitational efforts are recorded respectively. Moreover indicated results signify activation of velocity, temperature and heat transfer rate with Darcy number.

Keywords

Porous mediumCurved channelCarreau fluidMHDWall propertiesSlip effectsNumerical solutions
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 4 , August 2019 , pp. 527 - 535
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Shapiro, A. H., Jaffrin, M. Y. and Weinberg, S. L., “Peristaltic Pumping with Long Wavelengths at Low Reynolds number,” Journal of Fluid Mechanics, 37, pp. 799–825 (1969).CrossRefGoogle Scholar
Tripathi, D., Bhushan, S. and Bég, O. A., “Unsteady Viscous Flow Driven by the Combined Effects of Peristalsis and Electro-Osmosis,” Alexandria Engineering Journal, DOI: 10.1016/j.aej.2017.05.027 (2017).CrossRefGoogle Scholar
Ellahi, R., Bhatti, M. M. and Vafai, K., “Effects of Heat and Mass Transfer on Peristaltic Flow in a Non-Uniform Rectangular Duct,” International Journal of Heat and Mass Transfer, 71, pp. 706–719 (2014).CrossRefGoogle Scholar
Ayub, S., Hayat, T., Asghar, S. and Ahmad, B., “Thermal Radiation Impact in Mixed Convective Peristaltic Flow of Third Grade Nanofluid,” Results in Physics, 7, pp. 3687–3695 (2017).CrossRefGoogle Scholar
Hayat, T., Zahir, H., Tanveer, A. and Alsaedi, A., “Influences of Hall Current and Chemical Reaction in Mixed Convective Peristaltic Flow of Prandtl Fluid,” Journal of Magnetism and Magnetic Materials, 407, pp. 321–327 (2016).CrossRefGoogle Scholar
Hayat, T., Ayub, S., Alsaedi, A., Tanveer, A. and Ahmad, B., “Numerical Simulation for Peristaltic Activity of Sutterby Fluid with Modified Darcy’s Law,” Results in Physics, 7, pp. 762–768 (2017).CrossRefGoogle Scholar
Bhatti, M. M., Zeeshan, A. and Ijaz, N., “Slip Effects and Endoscopy Analysis on Blood Flow of Particle-Fluid Suspension Induced by Peristaltic Wave,” Journal of Molecular Liquids, 218, pp. 240–245 (2016).CrossRefGoogle Scholar
Hayat, T., Iqbal, R., Tanveer, A. and Alsaedi, A., “Influence of Convective Conditions in Radiative Peristaltic Flow of Pseudoplastic Nanofluid in a Tapered Asymmetric Channel,” Journal of Magnetism and Magnetic Materials, 408, pp. 168–176 (2016).CrossRefGoogle Scholar
Bhatti, M. M., Zeeshan, A. and Ellahi, R., “Simultaneous Effects of Coagulation and Variable Magnetic Field on Peristaltically Induced Motion of Jeffrey Nanofluid Containing Gyrotactic Microorganism,” Microvascular Research, 110, pp. 32–42 (2017).CrossRefGoogle ScholarPubMed
Bhatti, M. M., Zeeshan, A., Ellahi, R. and Ijaz, N., “Heat and Mass Transfer of Two-Phase Flow with Electric Double Layer Effects Induced Due to Peristaltic Propulsion in the Presence of Transverse Magnetic Field,” Journal of Molecular Liquids, 230, pp. 237–246 (2017).CrossRefGoogle Scholar
Hayat, T., Iqbal, R., Tanveer, A. and Alsaedi, A., “Soret and Dufour Effects in MHD Peristalsis of Pseudoplastic Nanofluid with Chemical Reaction,” Journal of Molecular Liquids, 220, pp. 693–706 (2016).CrossRefGoogle Scholar
Ellahi, R., Tariq, M. H., Hassan, M. and Vafai, K., “On Boundary Layer Magnetic Flow of Nano-Ferroliquid under the Influence of Low Oscillating over Stretchable Rotating Disk,” Journal of Molecular Liquids, 229, pp. 339–345 (2017).CrossRefGoogle Scholar
Hassan, M., Zeeshan, A., Majeed, A. and Ellahi, R., “Particle Shape Effects on Ferrofuids Flow and Heat Transfer under Influence of Low Oscillating Magnetic Field,” Journal of Magnetism and Magnetic Materials, 443, pp. 36–44 (2017).CrossRefGoogle Scholar
Ellahi, R., Bhatti, M. M. and Khalique, C. M., “Three-Dimensional Flow Analysis of Carreau Fluid Model Induced by Peristaltic Wave in the Presence of Magnetic Field,” Journal of Molecular Liquids, 241, pp. 1059–1068 (2017).CrossRefGoogle Scholar
Hayat, T., Nisar, Z., Yasmin, H. and Alsaedi, A., “Peristaltic Transport of Nanofluid in a Compliant Wall Channel with Convective Conditions and Thermal Radiation,” Journal of Molecular Liquids, 220, pp. 448–453 (2016).CrossRefGoogle Scholar
Tanveer, A., Hayat, T., Alsaadi, F. and Alsaedi, A., “Mixed Convection Peristaltic Flow of Eyring-Powell Nanofluid in a Curved Channel with Compliant Walls,” Computers in Biology and Medicine, 82, pp. 71–79 (2017).CrossRefGoogle Scholar
Hayat, T., Zahir, H., Mustafa, M. and Alsaedi, A., “Peristaltic Flow of Sutterby Fluid in a Vertical Channel with Radiative Heat Transfer and Compliant Walls: A Numerical Study,” Results in Physics, 6, pp. 805–810 (2016).CrossRefGoogle Scholar
Hayat, T., Tanveer, A. and Alsaedi, A., “Mixed Convective Peristaltic Flow of Carreau--Yasuda Fluid with Thermal Deposition and Chemical Reaction,” International Journal of Heat and Mass Transfer, 96, pp. 474–481 (2016).CrossRefGoogle Scholar
Hayat, T., Saleem, S., Tanveer, A. and Alsaadi, F., “Numerical Analysis for Peristalsis of Williamson Nanofluid in Presence of an Endoscope,” International Journal of Heat and Mass Transfer, 114, pp. 395–401 (2017).CrossRefGoogle Scholar
Hayat, T., Aslam, N., Alsaedi, A. and Rafiq, M., “Numerical Analysis for Endoscope and Soret and Dufour Effects on Peristalsis of Prandtl Fluid,” Results in Physics, 7, pp. 2855–2864 (2017).CrossRefGoogle Scholar
Reddy, M. G., “Heat and Mass Transfer on Magnetohydrodynamic Peristaltic Flow in a Porous Medium with Partial Slip,” Alexandria Engineering Journal, 55, pp. 1225–1234 (2016).CrossRefGoogle Scholar
Shit, G. C. and Ranjit, N. K., “Role of Slip Velocity on Peristaltic Transport of Couple Stress Fluid through an Asymmetric Non-Uniform Channel: Application to Digestive System,” Journal of Molecular Liquids, 221, pp. 305–315 (2016).CrossRefGoogle Scholar
Hayat, T., Shafique, M., Tanveer, A. and Alsaedi, A., “Hall and Ion Slip Effects on Peristaltic Flow of Jeffrey Nanofluid with Joule Heating,” Journal of Magnetism and Magnetic Materials, 407, pp. 51–59 (2016).CrossRefGoogle Scholar
Akbar, N. S., Nadeem, S. and Khan, Z. H., “Numerical Simulation of Peristaltic Flow of a Carreau Nanofluid in an Asymmetric Channel,” Alexandria Engineering Journal, 53, pp. 191–197 (2014).CrossRefGoogle Scholar
Hayat, T., Tanveer, A., Yasmin, H. and Alsaedi, A., “Homogeneous-Heterogeneous Reactions in Peristaltic Flow with Convective Conditions,” PLOS One, DOI: 10.1371/journal.pone.0113851 (2014).CrossRefGoogle Scholar
Ramesh, K., “Effects of Slip and Convective Conditions on the Peristaltic Flow of Couple Stress Fluid in an Asymmetric Channel through Porous Medium,” Computer Methods and Programs in Biomedicine, 135, pp. 1–14 (2016).CrossRefGoogle Scholar
Shirvan, K. M., Mamourian, M., Mirzakhanlari, S., Ellahi, R. and Vafai, K., “Numerical Investigation and Sensitivity Analysis of Effective Parameters on Combined Heat Transfer Performance in a Porous Solar Cavity Receiver by Response Surface Methodology,” International Journal of Heat and Mass Transfer, 105, pp. 811–825 (2017).CrossRefGoogle Scholar
Ellahi, R., Raza, M. and Akbar, N. S., “Study of Peristaltic Flow of Nanofluid with Entropy Generation in a Porous Medium,” Journal of Porous Media, 20, pp. 461–478 (2017).CrossRefGoogle Scholar
Hayat, T., Tanveer, A. and Alsaedi, A., “Numerical Analysis of Partial Slip on Peristalsis of MHD Jeffery Nanofluid in Curved Channel with Porous Space,” Journal of Molecular Liquids, 224, pp. 944–953 (2016).CrossRefGoogle Scholar
Tanveer, A., Hayat, T., Alsaedi, A. and Ahmad, B., “On Modified Darcy’s Law Utilization in Peristalsis of Sisko Fluid,” Journal of Molecular Liquids, 236, pp. 290–297 (2017).CrossRefGoogle Scholar