Peristaltic motion of Jeffrey fluid with nonlinear mixed convection

S Farooq; T Shoaib; S Z B Bukhari; A S Alqahtani; M Y Malik; S Abdullaev; S E Alhazmi

doi:10.1016/j.heliyon.2023.e21451

Peristaltic motion of Jeffrey fluid with nonlinear mixed convection

Heliyon. 2023 Oct 23;9(11):e21451. doi: 10.1016/j.heliyon.2023.e21451. eCollection 2023 Nov.

Authors

S Farooq¹, T Shoaib¹, S Z B Bukhari¹, A S Alqahtani², M Y Malik², S Abdullaev^{3

4}, S E Alhazmi⁵

Affiliations

¹ Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan.
² Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia.
³ Senior Researcher, Faculty of Chemical Engineering, New Uzbekistan University, Tashkent, Uzbekistan.
⁴ Senior Researcher, Department of Science and Innovation, Tashkent State Pedagogical University named after Nizami, Bunyodkor street 27, Tashkent, Uzbekistan.
⁵ Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia.

Abstract

Since previous few decays the consideration of non-Newtonian liquids motion due to its immense usages in medicine, biology, industrial procedures, chemistry of catalysts and in environment. Various studies examine the significance of bio-materials flow in physiological procedures to explore the cure of diagnosed symptoms of disease appearing during movement in a human physiological system. To illustrate the characteristics of physiological liquids various non-Newtonian models have been proposed, but yet no such single liquid model is exploited which describes all the properties of nonlinear behaving liquids. Among these several non-Newtonian models, Jeffery liquid model should be reduced to its base fluid case (i.e. viscous liquid) by choosing λ₁ = λ₂ = 0. Various physiological materials which represents both linear and nonlinear characteristics respectively blood is one of these. Jeffery fluid and peristaltic motion have some common properties such as radii, relaxation time and retardation time. Moreover heat and mass transfer is also an important phenomenon which is suitable for various physiological processes such as hemodialysis and oxygenation etc. Thus due to such motivating facts this research is conducted to investigate the peristaltic motion of electrically conducting Jeffery liquid. The peristaltic propagating channel walls are asymmetric and inclined. Joule heating and magnetic field effects are considered by applying magnetic field in transverse direction to the flow. Further conservation laws modelled the flow situation via considering quadric mix convection, thermos diffusion and diffusion-thermos, heat generation and absorption, chemical reaction with activation energy features. Moreover, creeping flow and long wavelength assumptions are used to simplify the mathematical modelling. The reduced system of equation is solved numerically through built-in technique in Mathematica software. This built-in technique is working through ND Solve command and shooting and RK-Felburg numerical schemes are behind this technique. These numerical results are used to discuss the flow quantities i.e., velocity, temperature and concentration against the sundry dimensionless quantities. Examining the results it comes to know that both thermal and concentration nonlinear mix convection have oppositely affecting the axial velocity. Both heat and mass transfer are escalating function of thermo-diffusion/diffusion-thermo aspects.

Keywords: Chemical reaction and activation energy; Hall phenomena; Jeffrey liquids; Mixed convection; Non-Darcy porous media; Nonlinear; Peristaltic motion; Slip aspects.