Effect of Couple-Stress on Peristaltic Transport of Sutterby Fluid in an Asymmetric Channel

Asmaa Mohammed; Liqaa Zeki   Hummady

doi:10.30526/38.1.3462

Authors

Asmaa Mohammed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-2723-0055
Liqaa Zeki Hummady Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0001-8236-4120

DOI:

https://doi.org/10.30526/38.1.3462

Keywords:

Peristaltic flow, Heat transform, Inclined channel, Porous medium, Couple-stress, Sutterby fluid

Abstract

In this paper, the effect of a couple–stress and other variables on the peristaltic flow of Sutterby fluid in an inclined asymmetric channel containing a porous medium with heat transfer is examined. In the presence of rotation and couple–stress, mathematical modeling is developed using constitutive equations based on the model of Sutterby fluid. In flow analysis, assumptions such as long wavelength approximation and low Reynolds number are used. The resulting nonlinear equation was numerically solved using the perturbation method. The effects of various physical parameters such as the couple-stress parameter, the Grashof number, the Hartmann number, the Reynold number, the Froude number, the Hall parameter, the Darcy number, the magnetic field, the Sutterby fluid parameter, and heat transfer analysis on the stream function are analyzed graphically. Utilizing MATHEMATICA software, numerical results were computed.

Author Biographies

Asmaa Mohammed, Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

t
Liqaa Zeki Hummady, Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

t

References

Mohaisen HN, Abedulhadi AM. Effects of the Rotation on the Mixed Convection Heat Transfer Analysis for the Peristaltic Transport of Viscoplastic Fluid in Asymmetric Channel. Iraqi J Sci. 2022;1240–57. https://doi.org/10.24996/ijs.2022.63.3.29

Hayat T, Ayub S, Alsaedi A, Tanveer A, Ahmad B. Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law. Results Phys. 2017;7:762–8. https://doi.org/10.24996/ijs.2022.63.3.29

Latham TW. Fluid motions in a peristaltic pump. Massachusetts Institute of Technology; 1966.

Shapiro AH, Jaffrin MY, Weinberg SL. Peristaltic pumping with long wavelengths at low Reynolds number. J Fluid Mech. 1969;37(4):799–825. https://doi.org/10.24996/ijs.2022.63.3.29

Kareem RS, Abdulhadi AM. Impacts of Heat and Mass Transfer on Magneto Hydrodynamic Peristaltic Flow Having Temperature-dependent Properties in an Inclined Channel Through Porous Media. Iraqi J Sci. 2020;854–69. https://doi.org/10.24996/ijs.2022.63.3.29

Ali HA. Impact of Varying Viscosity with Hall Current on Peristaltic Flow of Viscoelastic Fluid Through Porous Medium in Irregular Microchannel. Iraqi J Sci. 2022;1265–76.

https://doi.org/10.24996/ijs.2022.63.3.29

Nassief AM, Murad MA. The influence of magnetohydrodynamic flow and slip condition on generalized Burgers’ fluid with fractional derivative. Baghdad Sci J. 2020;17(1). https://doi.org/10.24996/ijs.2022.63.3.29

El-Dabe NTM, Moatimid GM, Mohamed MAA, Mohamed YM. A couple stress of peristaltic motion of Sutterby micropolar nanofluid inside a symmetric channel with a strong magnetic field and Hall currents effect. Arch Appl Mech. 2021;91(9):3987–4010. https://doi.org/10.24996/ijs.2022.63.3.29

Abdulhussein H, Abdulhadi AM. Impact of Couple Stress and Rotation on Peristaltic Transport of a Powell-Eyring Fluid in an Inclined Asymmetric Channel with Hall and Joule Heating Hanaa. J Basic Sci. 2022;8(13):483–509.

Hummady L, Abdulhadi A. Influence of MHD on peristaltic flow of couple stress fluid through a porous medium with slip effect. Adv Phys Theor Appl. 2014;30.

Abdulhadi AM, Ahmed TS. Effect of magnetic field on peristaltic flow of Walters’ B fluid through a porous medium in a tapered asymmetric channel. J Adv Math. 2017;1(12):6889–93. https://doi.org/10.24297/jam.v12i12.4440

Sadaf H, Akbar MU, Nadeem S. Induced magnetic field analysis for the peristaltic transport of non-Newtonian nanofluid in an annulus. Math Comput Simul. 2018;148:16–36. https://doi.org/10.1016/j.matcom.2017.12.009

Salih AW, Habeeb SB. Influence Of Rotation, Variable Viscosity And Temperature On Peristaltic Transport In An Asymmetric Channel. Turkish J Comput Math Educ. 2021;12(6):1047–59.

Sutterby JL. Laminar converging flow of dilute polymer solutions in conical sections: Part I. Viscosity data, new viscosity model, tube flow solution. AIChE J. 1966;12(1):63–8. https://doi.org/10.1002/aic.690120114

Hayat T, Nisar Z, Alsaedi A, Ahmad B. Analysis of activation energy and entropy generation in mixed convective peristaltic transport of Sutterby nanofluid. J Therm Anal Calorim. 2021;143(3):1867–80.

Alshareef TS. Impress of rotation and an inclined MHD on waveform motion of the non-Newtonian fluid through porous canal. In: J Phys Conf Ser. IOP Publishing; 2020. p. 12061. https://doi.org/10.1088/1742-6596/1591/1/012061

Kalyani K, MVVNL SR. A Numerical Study on Cross Diffusion Cattaneo-Christov Impacts of MHD Micropolar Fluid Across a Paraboloid. Iraqi J Sci. 2021;1238–64. https://doi.org/10.24996/ijs.2021.62.4.20

Khudair WS, Dwail HH. Studying the magnetohydrodynamics for williamson fluid with varying temperature and concentration in an inclined channel with variable viscosity. Baghdad Sci J. 2021;18(3). https://doi.org/10.21123/bsj.2021.18.3.0531

Ahmad S, Farooq M, Javed M, Anjum A. Double stratification effects in chemically reactive squeezed Sutterby fluid flow with thermal radiation and mixed convection. Results Phys. 2018;8:1250–9. https://doi.org/10.1016/j.rinp.2018.01.043

Ramesh K, Prakash J. Thermal analysis for heat transfer enhancement in electroosmosis-modulated peristaltic transport of Sutterby nanofluids in a microfluidic vessel. J Therm Anal Calorim. 2019;138(2):1311–26. https://doi.org/10.1007/s10973-018-7939-7

Atlas F, Javed M, Imran N. Effects of heat and mass transfer on the peristaltic motion of Sutterby fluid in an inclined channel. Multidiscip Model Mater Struct. 2020;16(6):1357–72.

https://doi.org/10.1108/MMMS-08-2019-0156

Abdulla SA, Hummady LZ. Inclined magnetic field and heat transfer of asymmetric and porous medium channel on hyperbolic tangent peristaltic flow. Int J Nonlinear Anal Appl. 2021;12(2):2359–73.

https://doi.org/10.22075/IJNAA.2021.5382