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The Shape Effect of Gold Nanoparticles on Squeezing Nanofluid Flow and Heat Transfer between Parallel Plates
- Source :
- Mathematical Problems in Engineering, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Hindawi, 2020.
-
Abstract
- The focus of the present paper is to analyze the shape effect of gold (Au) nanoparticles on squeezing nanofluid flow and heat transfer between parallel plates. The different shapes of nanoparticles, namely, column, sphere, hexahedron, tetrahedron, and lamina, have been examined using water as base fluid. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by suitable transformations. As a result, nonlinear boundary value ordinary differential equations are tackled analytically using the homotopy analysis method (HAM) and convergence of the series solution is ensured. The effects of various parameters such as solid volume fraction, thermal radiation, Reynolds number, magnetic field, Eckert number, suction parameter, and shape factor on velocity and temperature profiles are plotted in graphical form. For various values of involved parameters, Nusselt number is analyzed in graphical form. The obtained results demonstrate that the rate of heat transfer is maximum for lamina shape nanoparticles and the sphere shape of nanoparticles has performed a considerable role in temperature distribution as compared to other shapes of nanoparticles.
- Subjects :
- Partial differential equation
Materials science
Article Subject
020209 energy
General Mathematics
General Engineering
Reynolds number
02 engineering and technology
Mechanics
021001 nanoscience & nanotechnology
Engineering (General). Civil engineering (General)
Nusselt number
symbols.namesake
Nanofluid
Eckert number
Heat transfer
0202 electrical engineering, electronic engineering, information engineering
symbols
QA1-939
TA1-2040
0210 nano-technology
Shape factor
Homotopy analysis method
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 1024123X
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....d37c6f9be014f2f6208e7e31441433c1
- Full Text :
- https://doi.org/10.1155/2020/9584854