The Role of Double-Diffusion Convection and Induced Magnetic Field on Peristaltic Pumping of a Johnson–Segalman Nanofluid in a Non-Uniform Channel
Abstract
:1. Introduction
2. Basic Equations
3. Mathematical Formulation
4. Solution of Problem
4.1. Exact Solution
4.2. Numerical Solution
5. Conclusions
- The magnitude of the velocity profile enhances due to increasing behavior of and when but the opposite behavior is sustained when
- The magnitude of the magnetic force function grows as and are enhanced.
- The temperature profile tends to rise and the concentration profile drops as Dufour, Soret, thermophoresis, and Brownian motion constraints are increased.
- The nanoparticle fraction decreases as Dufour, Soret, and thermophoresis parameters are enhanced but an adverse impact is noted for the parameter of Brownian motion.
- The trapped bolus size tends to grow by enhancing the values of and
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Nomenclature
acceleration | |
magnetic permeability | |
induced electric field | |
velocity vector | |
relaxation time | |
slip parameter | |
velocity gradient symmetric and skew symmetric part | |
solutal (species) concentration | |
Lewis number | |
Pr | Prandtl number |
Dufour parameter | |
wave number | |
Soret diffusively | |
heat capacity of fluid | |
wave amplitude | |
wave speed | |
thermal Grashof number | |
temperature | |
effective nanoparticle heat capacity | |
Brownian diffusion coefficient | |
volumetric solutal expansion coefficient | |
nanoparticle mass density | |
density of fluid | |
temperature | |
time | |
electric conductivity | |
current density | |
volumetric thermal expansion coefficient | |
dynamic viscosities | |
pressure | |
Dufour diffusively | |
Brownian motion | |
thermophoresis parameter | |
nanofluid Lewis number | |
Soret parameter | |
Re | Reynolds number |
solutal diffusively | |
thermal conductivity | |
inlet half-width | |
Grashof number of nanoparticles | |
solutal Grashof number | |
nanoparticle fraction | |
half-width of conduit at axial distance | |
thermophoretic diffusion coefficient | |
concentration | |
density of fluid | |
volume fraction nanoparticle | |
material derivative |
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Khan, Y.; Akram, S.; Athar, M.; Saeed, K.; Muhammad, T.; Hussain, A.; Imran, M.; Alsulaimani, H.A. The Role of Double-Diffusion Convection and Induced Magnetic Field on Peristaltic Pumping of a Johnson–Segalman Nanofluid in a Non-Uniform Channel. Nanomaterials 2022, 12, 1051. https://doi.org/10.3390/nano12071051
Khan Y, Akram S, Athar M, Saeed K, Muhammad T, Hussain A, Imran M, Alsulaimani HA. The Role of Double-Diffusion Convection and Induced Magnetic Field on Peristaltic Pumping of a Johnson–Segalman Nanofluid in a Non-Uniform Channel. Nanomaterials. 2022; 12(7):1051. https://doi.org/10.3390/nano12071051
Chicago/Turabian StyleKhan, Yasir, Safia Akram, Maria Athar, Khalid Saeed, Taseer Muhammad, Anwar Hussain, Muhammad Imran, and H. A. Alsulaimani. 2022. "The Role of Double-Diffusion Convection and Induced Magnetic Field on Peristaltic Pumping of a Johnson–Segalman Nanofluid in a Non-Uniform Channel" Nanomaterials 12, no. 7: 1051. https://doi.org/10.3390/nano12071051