Impact of Variable Fluid Properties on the Peristaltic Flow of Eyring-powell Fluid through Porous Medium: Applications to Hemodynamics

Authors

  • Prathiksha Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
  • Gudekote Manjunatha Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
  • Rajashekhar Choudhari Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, India
  • Hanumesh Vaidya Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India
  • Kerehalli Vinayaka Prasad Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India

DOI:

https://doi.org/10.37934/cfdl.17.1.114139

Keywords:

Eyring-Powell Fluid, Varying Viscosity, Perturbation Technique, Darcy Number

Abstract

The main focus of this study is to examine the peristaltic behaviour of an Eyring-Powell fluid within a non-uniform porous channel. The investigation focuses on comprehending the characteristics of the channel walls that impact the fluid dynamics. By incorporating the convective boundary conditions into the series Perturbation method, solutions for the governing non-linear equations on velocity, temperature, and stream function are obtained. The study improves accessibility through parametric assessment, and the results are shown graphically using MATLAB R2023a software. Significant insights are obtained from the study, especially concerning natural phenomena such as blood flow in tiny arteries, which may be used for management or intervention in dysfunctional situations. The investigation results show that fluid characteristics are greatly affected by porous parameters and different viscosities. Also, fluid flow improves as the porous parameter increases, i.e., Darcy number. The enhancement in the convective heat and mass transfer coefficient decreases the temperature and concentration of the fluid, respectively.

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Author Biography

Gudekote Manjunatha, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India

manjunatha.g@manipal.edu

References

AYUKAWA, Kyozo, and Shin TAKABATAKE. "Numerical Analysis of Two-Dimensional Peristaltic Flows: 1st Report, Flow Pattern." Bulletin of JSME 25, no. 205 (1982): 1061-1069. https://doi.org/10.1299/jsme1958.25.1061

Siddiqui, A. M., and W. H. Schwarz. "Peristaltic flow of a second-order fluid in tubes." Journal of Non-Newtonian Fluid Mechanics 53 (1994): 257-284. https://doi.org/10.1016/0377-0257(94)85052-6

Comparini, Elena, and Paola Mannucci. "Flow of a Bingham fluid in contact with a Newtonian fluid." Journal of mathematical analysis and applications 227, no. 2 (1998): 359-381. https://doi.org/10.1006/jmaa.1998.6098

Elshehawey, Elsayed F., Ayman MF Sobh, and Elsayed ME Elbarbary. "Peristaltic motion of a generalized Newtonian fluid through a porous medium." Journal of the Physical Society of Japan 69, no. 2 (2000): 401-407. https://doi.org/10.1143/JPSJ.69.401

Hayat, T., F. M. Mahomed, and S. Asghar. "Peristaltic flow of a magnetohydrodynamic Johnson–Segalman fluid." Nonlinear Dynamics 40 (2005): 375-385. https://doi.org/10.1007/s11071-005-7799-0

Srinivas, S., R. Gayathri, and M. Kothandapani. "The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport." Computer physics communications 180, no. 11 (2009): 2115-2122. https://doi.org/10.1016/j.cpc.2009.06.015

Ramesh, K., and M. Devakar. "Magnetohydrodynamic peristaltic transport of couple stress fluid through porous medium in an inclined asymmetric channel with heat transfer." Journal of Magnetism and Magnetic Materials 394 (2015): 335-348. https://doi.org/10.1016/j.jmmm.2015.06.052

Sankad, G. C., and Pratima S. Nagathan. "Unsteady MHD peristaltic flow of a couple stress fluid through porous medium with wall and slip effects." Alexandria Engineering Journal 55, no. 3 (2016): 2099-2105. https://doi.org/10.1016/j.aej.2016.06.029

Gudekote, Manjunatha, and Rajashekhar Choudhari. "Slip effects on peristaltic transport of Casson fluid in an inclined elastic tube with porous walls." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 43, no. 1 (2018): 67-80. https://www.akademiabaru.com/submit/index.php/arfmts/article/view/2150

Lakshminarayana, Pallavarapu, K. Vajravelu, G. Sucharitha, and S. Sreenadh. "Peristaltic slip flow of a Bingham fluid in an inclined porous conduit with Joule heating." Applied Mathematics and Nonlinear Sciences 3, no. 1 (2018): 41-54. https://doi.org/10.21042/AMNS.2018.1.00005

Vaidya, Hanumesh, C. Rajashekhar, G. Manjunatha, K. V. Prasad, O. D. Makinde, and K. Vajravelu. "Heat and mass transfer analysis of MHD peristaltic flow through a complaint porous channel with variable thermal conductivity." Physica Scripta 95, no. 4 (2020): 045219.

Tanveer, A., and Muhammad Yousaf Malik. "Slip and porosity effects on peristalsis of MHD Ree-Eyring nanofluid in curved geometry." Ain Shams Engineering Journal 12, no. 1 (2021): 955-968. https://doi.org/10.1016/j.asej.2020.04.008

Abuiyada, Alaa, Nabil Eldabe, Mohamed Abouzeid, and Samy Elshaboury. "Influence of Both Ohmic Dissipation and Activation Energy on Peristaltic Transport of Jeffery Nanofluid through a Porous Media." CFD Letters 15, no. 6 (2023): 65-85. https://doi.org/10.37934/cfdl.15.6.6585

Pascal, J. P., N. Gonputh, and S. J. D. D’Alessio. "Long-wave instability of flow with temperature dependent fluid properties down a heated incline." International Journal of Engineering Science 70 (2013): 73-90. https://doi.org/10.1016/j.ijengsci.2013.05.003

Latif, T., N. Alvi, Q. Hussain, and S. Asghar. "Variable properties of MHD third order fluid with peristalsis." Results in physics 6 (2016): 963-972. https://doi.org/10.1016/j.rinp.2016.11.016

Khan, Mair, T. Salahuddin, and M. Y. Malik. "An immediate change in viscosity of Carreau nanofluid due to double stratified medium: application of Fourier’s and Fick’s laws." Journal of the Brazilian Society of Mechanical Sciences and Engineering 40 (2018): 1-10. https://doi.org/10.1007/s40430-018-1371-6

Khan, Mair, T. Salahuddin, M. Y. Malik, and Fouad Othman Mallawi. "Change in viscosity of Williamson nanofluid flow due to thermal and solutal stratification." International Journal of Heat and Mass Transfer 126 (2018): 941-948. https://doi.org/10.1016/j.ijheatmasstransfer.2018.05.074

Manjunatha, G., C. Rajashekhar, Hanumesh Vaidya, K. V. Prasad, O. D. Makinde, and J. U. Viharika. "Impact of variable transport properties and slip effects on MHD Jeffrey fluid flow through channel." Arabian Journal for Science and Engineering 45 (2020): 417-428. https://doi.org/10.1007/s13369-019-04266-y

Khan, Waqar Azeem, Shahid Farooq, S. Kadry, M. Hanif, F. J. Iftikhar, and Syed Zaheer Abbas. "Variable characteristics of viscosity and thermal conductivity in peristalsis of magneto-Carreau nanoliquid with heat transfer irreversibilities." Computer Methods and Programs in Biomedicine 190 (2020): 105355. https://doi.org/10.1016/j.cmpb.2020.105355

Prasad, K. V., Hanumesh Vaidya, C. Rajashekhar, Sami Ullah Khan, G. Manjunatha, and J. U. Viharika. "Slip flow of MHD Casson fluid in an inclined channel with variable transport properties." Communications in Theoretical Physics 72, no. 9 (2020): 095004. 10.1088/1572-9494/aba246

Mukhopadhyay, Anandamoy, Souradip Chattopadhyay, and Amlan K. Barua. "Effects of strong viscosity with variable fluid properties on falling film instability." In Advances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), Volume 1, pp. 75-85. Cham: Springer International Publishing, 2021. https://doi.org/10.1007/978-3-030-81162-4_7

Vajravelu, K., S. Sreenadh, and P. Lakshminarayana. "The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum." Communications in Nonlinear Science and Numerical Simulation 16, no. 8 (2011): 3107-3125. https://doi.org/10.1016/j.cnsns.2010.11.001

Alarabi, Tagreed, Assma F. Elsayed, and O. Anwar Bég. "Homotopy perturbation method for heat transfer in peristaltic flow of viscoelastic fluid in an eccentric cylinder with variable effects." Life Science Journal 11, no. 7 (2014): 197-206.

Dar, Ajaz Ahmad, and K. Elangovan. "Influence of an inclined magnetic field on heat and mass transfer of the peristaltic flow of a couple stress fluid in an inclined channel." World Journal of Engineering 14, no. 1 (2017): 7-18. https://doi.org/10.1108/WJE-11-2016-0124

Abdulhadi, Ahmed M., and Tamara S. Ahmed. "Effect of radial magnetic field on peristaltic transport of Jeffrey fluid in curved channel with heat/mass transfer." In Journal of Physics: Conference Series, vol. 1003, no. 1, p. 012053. IOP Publishing, 2018. 10.1088/1742-6596/1003/1/012053

Khan, Mair, M. Y. Malik, T. Salahuddin, and Arif Hussian. "Heat and mass transfer of Williamson nanofluid flow yield by an inclined Lorentz force over a nonlinear stretching sheet." Results in Physics 8 (2018): 862-868. https://doi.org/10.1016/j.rinp.2018.01.005

Magesh, A., and M. Kothandapani. "Heat and mass transfer analysis on non-Newtonian fluid motion driven by peristaltic pumping in an asymmetric curved channel." The European Physical Journal Special Topics 230, no. 5 (2021): 1447-1464. https://doi.org/10.1140/epjs/s11734-021-00035-x

Vaidya, Hanumesh, C. Rajashekhar, Manjunatha Gudekote, and K. V. Prasad. "Heat transfer and slip consequences on peristaltic transport of a casson fluid in an axisymmetric porous tube." Journal of Porous Media 24, no. 3 (2021). 10.1615/JPorMedia.2021025262

Hayat, T., Anum Tanveer, Humaira Yasmin, and Fuad Alsaadi. "Simultaneous effects of Hall current and thermal deposition in peristaltic transport of Eyring–Powell fluid." International Journal of Biomathematics 8, no. 02 (2015): 1550024. https://doi.org/10.1142/S1793524515500242

Akbar, Noreen Sher. "Application of Eyring-Powell fluid model in peristalsis with nano particles." Journal of Computational and Theoretical Nanoscience 12, no. 1 (2015): 94-100. https://doi.org/10.1166/jctn.2015.3703

Hina, S. "MHD peristaltic transport of Eyring–Powell fluid with heat/mass transfer, wall properties and slip conditions." Journal of Magnetism and Magnetic Materials 404 (2016): 148-158. https://doi.org/10.1016/j.jmmm.2015.11.059

Riaz, Arshad. "Thermal analysis of an Eyring–Powell fluid peristaltic transport in a rectangular duct with mass transfer." Journal of Thermal Analysis and Calorimetry 143 (2021): 2329-2341. https://doi.org/10.1007/s10973-020-09723-7

Irfan, M., W. A. Khan, Amjad Ali Pasha, Mohammad Irfan Alam, Nazrul Islam, and M. Zubair. "Significance of non-Fourier heat flux on ferromagnetic Powell-Eyring fluid subject to cubic autocatalysis kind of chemical reaction." International Communications in Heat and Mass Transfer 138 (2022): 106374. https://doi.org/10.1016/j.icheatmasstransfer.2022.106374

Anjum, Nazash, W. A. Khan, A. Hobiny, M. Azam, M. Waqas, and M. Irfan. "Numerical analysis for thermal performance of modified Eyring Powell nanofluid flow subject to activation energy and bioconvection dynamic." Case Studies in Thermal Engineering 39 (2022): 102427. https://doi.org/10.1016/j.csite.2022.102427

Bhattacharyya, A., R. Kumar, S. Bahadur, and G. S. Seth. "Modeling and interpretation of peristaltic transport of Eyring–Powell fluid through uniform/non-uniform channel with Joule heating and wall flexibility." Chinese Journal of Physics 80 (2022): 167-182. https://doi.org/10.1016/j.cjph.2022.06.018

Gudekote, Manjunatha, Rajashekhar Choudhari, Prathiksha Sanil, Hanumesh Vaidya, Balachandra Hadimani, Kerehalli Vinayaka Prasad, and Jyoti Shetty. "Impact of Variable Liquid Properties on Peristaltic Transport of Non-Newtonian Fluid Through a Complaint Non-Uniform Channel." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 103, no. 2 (2023): 20-39. https://doi.org/10.37934/arfmts.103.2.2039

Hadimani, Balachandra, Rajashekhar Choudhari, Prathiksha Sanil, Hanumesh Vaidya, Manjunatha Gudekote, Kerehalli Vinayaka Prasad, and Jyoti Shetty. "The Influence of Variable Fluid Properties on Peristaltic Transport of Eyring Powell Fluid Flowing Through an Inclined Uniform Channel." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 102, no. 2 (2023): 166-185. https://doi.org/10.37934/arfmts.102.2.166185

Boujelbene, Mohamed, Balachandra Hadimani, Rajashekhar Choudhari, Prathiksha Sanil, Manjunatha Gudekote, Hanumesh Vaidya, Kerehalli Vinayaka Prasad et al., "Impact of Variable Slip and Wall Properties on Peristaltic Flow of Eyring–Powell Fluid Through Inclined Channel: Artificial Intelligence Based Perturbation Technique." Fractals 31, no. 06 (2023): 2340140. https://doi.org/10.1142/S0218348X23401400

Khan, Waqar Azeem. "Dynamics of gyrotactic microorganisms for modified Eyring Powell nanofluid flow with bioconvection and nonlinear radiation aspects." Waves in Random and Complex Media (2023): 1-11. https://doi.org/10.1080/17455030.2023.2168086

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Published

2024-08-31

How to Cite

Prathiksha, P., Manjunatha, G. ., Choudhari, R. ., Vaidya, H. ., & Prasad, K. V. (2024). Impact of Variable Fluid Properties on the Peristaltic Flow of Eyring-powell Fluid through Porous Medium: Applications to Hemodynamics . CFD Letters, 17(1), 114–139. https://doi.org/10.37934/cfdl.17.1.114139

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