Peristaltic Propulsion of Jeffrey Nanofluid with Thermal Radiation and Chemical Reaction Effects
Abstract
:1. Introduction
2. Mathematical Formulation
3. Solution of the Problem
4. Results and Discussion
5. Conclusions
- Temperature profile increments with the augmentation in and β parameters.
- Radiation parameter provides a significant resistance in temperature profile.
- Concentration profile increments, when Brownian movement parameter increments while its behavior is inverse for higher estimations of thermophoresis parameter .
- Chemical reaction parameter has an inverse behavior on concentration profile close to the wall.
- Radiation parameter also enhances significantly the concentration profile.
- Velocity profile shows converse behavior for higher values of thermal Grashof number and basic density Grashof number.
- Pumping rate increases for higher values of Hartmann number and thermal Grashof number.
- The present results reduce to Newtonian fluid model by taking in the modeled equations.
- The present results are also compared with previously published results [26] by taking to validate the current results and methodology.
Author Contributions
Funding
Conflicts of Interest
Nomenclature
velocity components | |
Cartesian coordinate | |
pressure in fixed frame | |
wave amplitude | |
width of the channel | |
wave velocity | |
Prandtl number | |
Reynolds number | |
time | |
basic density Grashof number | |
thermal Grashof number | |
Brownian motion parameter | |
thermophoresis parameter | |
constant | |
magnetic field | |
Weissenberg number | |
volume flow rate | |
temperature and concentration | |
acceleration due to gravity | |
Brownian diffusion coefficient | |
thermophoretic diffusion coefficient | |
mean absorption constant | |
Hartman number | |
stress tensor | |
porosity parameter | |
Greek Symbols | |
chemical reaction parameter | |
nanofluid thermal conductivity | |
heat source/sink parameter | |
viscosity of the fluid | |
nano- particle volume fraction | |
electrical conductivity | |
wave number | |
Stefan–Boltzmann constant | |
effective heat capacity of nanoparticle | |
nanofluid kinematic viscosity | |
nanoparticle mass density | |
fluid density | |
fluid density at the reference temperature | |
volumetric expansion coefficient | |
heat capacity of fluid | |
wavelength | |
Amplitude ratio |
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0 | 0.6467 | 0.6458 | 0.6431 | 0.6456 |
0.115 | 0.6405 | 0.6397 | 0.6370 | 0.6395 |
0.230 | 0.6219 | 0.6212 | 0.6184 | 0.6211 |
0.345 | 0.5907 | 0.5903 | 0.5874 | 0.5903 |
0.460 | 0.5469 | 0.5467 | 0.5438 | 0.5468 |
0.575 | 0.4901 | 0.4903 | 0.4874 | 0.4904 |
0.690 | 0.4201 | 0.4206 | 0.4178 | 0.4207 |
0.805 | 0.3365 | 0.3372 | 0.3347 | 0.3373 |
0.920 | 0.2390 | 0.2397 | 0.2376 | 0.2398 |
1.035 | 0.1270 | 0.1275 | 0.1263 | 0.1275 |
1.115 | 0 | 0 | 0 | 0 |
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Abbas, M.A.; Bhatti, M.M.; Sheikholeslami, M. Peristaltic Propulsion of Jeffrey Nanofluid with Thermal Radiation and Chemical Reaction Effects. Inventions 2019, 4, 68. https://doi.org/10.3390/inventions4040068
Abbas MA, Bhatti MM, Sheikholeslami M. Peristaltic Propulsion of Jeffrey Nanofluid with Thermal Radiation and Chemical Reaction Effects. Inventions. 2019; 4(4):68. https://doi.org/10.3390/inventions4040068
Chicago/Turabian StyleAbbas, Munawwar Ali, Muhammad Mubashir Bhatti, and Mohsen Sheikholeslami. 2019. "Peristaltic Propulsion of Jeffrey Nanofluid with Thermal Radiation and Chemical Reaction Effects" Inventions 4, no. 4: 68. https://doi.org/10.3390/inventions4040068