Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface

In the present paper, unsteady free convection flow of Maxwell fluid containing clay-nanoparticles is investigated. These particles are hanging in water, engine oil and kerosene. The values for nanofluids based on the Maxwell-Garnett and Brinkman models for effective thermal conductivity and viscosi...

Full description

Saved in:
Bibliographic Details
Published in:Scientific reports 2021-09, Vol.11 (1), p.18833-18833, Article 18833
Main Authors: Asjad, Muhammad Imran, Ali, Rizwan, Iqbal, Azhar, Muhammad, Taseer, Chu, Yu-Ming
Format: Article
Language:English
Subjects:
639/166/898
639/166/988
639/705/1041
Boundary conditions
Clay
Convection
Drilling
Fluid flow
Heat transfer
Humanities and Social Sciences
Laplace transforms
multidisciplinary
Nanoparticles
Science
Science (multidisciplinary)
Thermal conductivity
Velocity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In the present paper, unsteady free convection flow of Maxwell fluid containing clay-nanoparticles is investigated. These particles are hanging in water, engine oil and kerosene. The values for nanofluids based on the Maxwell-Garnett and Brinkman models for effective thermal conductivity and viscosity are calculated numerically. The integer order governing equations are being extended to the novel non-integer order fractional derivative. Analytical solutions of temperature and velocity for Maxwell fluid are build using Laplace transform technique and expressed in such a way that they clearly satisfied the boundary conditions. To see the impact of different flow parameters on the velocity, we have drawn some graphs. As a result, we have seen that the fractional model is superior in narrate the decay property of field variables. Some limiting solutions are obtained and compared with the latest existing literature. Moreover, significant results can be observed for clay nanoparticles with different base fluids.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-021-98066-w