Soret & Dufour and Triple Stratification Effect on MHD Flow with Velocity Slip towards a Stretching Cylinder
Abstract
:1. Introduction
2. Mathematical Formulation
- The flow is steady, laminar and -dimensional.
- The fluid is incompressible.
- The uniform external magnetic field is applied. The induced magnetic field is neglected.
- The cylinder is stretching with uniform velocity along z-direction.
- The stratification effect for temperature, nanoparticle volume fraction and concentration is considered.
3. Convergence of the Solution
4. Computational Results and Discussion
5. Conclusions
- While increasing the concentration slip, the solutal concentration boundary layer thickness shrinks, which results in a reduction in the rate of mass transfer.
- When the NLTR parameter value is increased, the local heat transfer rate reduces, whereas the local mass transfer rate increases.
- The thermal (concentration) boundary layer is thickened by increasing the Dufour (Soret) number.
- While raising thermal radiation, the thermal boundary layer thickness enhances.
- When the thermal energy, nanoparticle volume fraction and solutal stratification are increased, the thickness of thermal and solutal concentration boundary layers diminishes.
- The thermal and concentration boundary layer thickness and skin friction raise when the velocity slip is increased, whereas the momentum boundary layer thickness, heat and mass transfer rate diminish.
- The present results are very useful to the thermal science community to improve the cooling processes in heat transfer systems.
Author Contributions
Funding
Conflicts of Interest
Abbreviations
NLTR | Nonlinear thermal radiation |
TSF | Triple stratification |
MHD | Magneto-hydrodynamics |
HAM | Homotopy analysis method |
Nomenclature | |
specific heat (J·kg) | |
concentration susceptibility | |
thermal diffusion ratio | |
chemical reaction | |
l | reference length (m) |
heat flux (kg·m·s) | |
r- and z-axis velocity components (m·s) | |
A | velocity slip parameter |
strength of magnetic field (m·A) | |
thermal slip parameter | |
nanoparticles volume fraction slip parameter | |
concentration slip parameter | |
nanoparticles volume fraction | |
chemical reaction parameter | |
reference nanoparticles volume fraction | |
Brownian motion | |
Dufour (diffusion-thermo) number | |
mass diffusivity (m·s) | |
thermophoresis coefficient | |
thermal stratification parameter | |
nanoparticle volume fraction stratification parameter | |
concentration stratification parameter | |
thermal slip factor | |
nanoparticle volume fraction slip factor | |
concentration slip factor | |
L | magnetic parameter |
Brownian motion parameter | |
thermophoresis parameter | |
Prandtl number | |
thermal radiation parameter | |
local Reynolds number | |
S | concentration |
Schmidt number | |
nanofluid Schmidt number | |
(thermal-diffusion) Soret number | |
reference concentration (m·mol) | |
temperature (K) | |
mean fluid temperature | |
reference temperature | |
uniform velocity of the plate | |
Greek Symbols | |
thermal diffusivity (m·s) | |
curvature parameter | |
kinematic viscosity of the fluid (m·s) | |
density of the fluid (kg·m) | |
ratio between the effective nanoparticles materials and fluid heat capacity | |
temperature ratio parameter | |
electrical conductivity (S·m) |
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Jagan, K.; Sivasankaran, S. Soret & Dufour and Triple Stratification Effect on MHD Flow with Velocity Slip towards a Stretching Cylinder. Math. Comput. Appl. 2022, 27, 25. https://doi.org/10.3390/mca27020025
Jagan K, Sivasankaran S. Soret & Dufour and Triple Stratification Effect on MHD Flow with Velocity Slip towards a Stretching Cylinder. Mathematical and Computational Applications. 2022; 27(2):25. https://doi.org/10.3390/mca27020025
Chicago/Turabian StyleJagan, Kandasamy, and Sivanandam Sivasankaran. 2022. "Soret & Dufour and Triple Stratification Effect on MHD Flow with Velocity Slip towards a Stretching Cylinder" Mathematical and Computational Applications 27, no. 2: 25. https://doi.org/10.3390/mca27020025