Analysis of multiple slip effects on MHD blood peristaltic flow of Phan–Thien–Tanner nanofluid through an asymmetric channel

Author:

Choudhari Rajashekhar1,Baleanu Dumitru23,Vaidya Hanumesh4,Prasad K. V.4,Khan M. Ijaz56ORCID,Bafakeeh Omar T7,Oreijah Mowffaq8,Guedri Kamel89,Galal Ahmed M.1011

Affiliation:

1. Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, India

2. Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Balgat 06530, Ankara, Turkey

3. Institute of Space Sciences, Magurele-Bucharest, Romania

4. Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India

5. Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan

6. Department of Mechanical Engineering, Lebanese American University, Beirut, Lebanon

7. Department of Industrial Engineering, Jazan University, Jazan 82822, Saudi Arabia

8. Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah 21955, Saudi Arabia

9. Research Unity: Materials, Energy and Renewable Energies, Faculty of Science of Gafsa, University of Gafsa, Gafsa 2100, Tunisia

10. Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam Bin Abdulaziz University, Saudi Arabia

11. Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P. O. 35516, Mansoura, Egypt

Abstract

The primary focus of this paper is to model the MHD peristaltic flow of Phan–Thien–Tanner nanofluid in an asymmetric channel while taking into account multiple slip effects. Approximations based on a long wavelength and a low Reynolds number are used to transform the governing partial differential equations into nonlinear and coupled differential equations. It is possible to obtain an exact solution to the problem of the distribution of temperature and the distribution of nanoparticle concentration. The perturbation technique is employed to solve the nonlinear velocity distribution. The graphical analysis illustrates the effects that essential and relevant parameters have on the velocity field, temperature distribution, nanoparticle concentration, skin friction coefficient, Nusselt number, Sherwood number, pressure rise, and trapping phenomena. The results that were obtained are essential to comprehending the rheology of blood.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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