Stefan Blowing and Slip Effects on Unsteady Nanofluid Transport Past a Shrinking Sheet: Multiple Solutions

The aim of a present article is to investigate the laminar unsteady two‐dimensional boundary layer flow of a nanofluid with Stefan blowing and slip effect. First, governing boundary layer equations are converted in the ordinary form of the differential equations (ODEs) from partial differential equa...

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Bibliographic Details
Published in:Heat transfer, Asian research Asian research, 2019-09, Vol.48 (6), p.2047-2066
Main Authors: Dero, Sumera, Uddin, Md. Jashim, Rohni, Azizah Mohd
Format: Article
Language:English
Subjects:
Blowing
Blowing time
boundary layer
Boundary layer equations
Boundary layer flow
Brownian motion
Coordinate transformations
dual solutions
Friction factor
Laminar boundary layer
Maple
Mass transfer
Mathematical analysis
nanofluid
Nanofluids
Parameters
Partial differential equations
Skin friction
Slip
Stefan blowing
Thermophoresis
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Summary:The aim of a present article is to investigate the laminar unsteady two‐dimensional boundary layer flow of a nanofluid with Stefan blowing and slip effect. First, governing boundary layer equations are converted in the ordinary form of the differential equations (ODEs) from partial differential equations using appropriate coordinate transformations. The obtained ODEs are then solved by applying a shooting method with the Runge‐Kutta fourth order method by implementation of the Maple software. The influences of different controlling dimensionless parameters over the dimensionless velocity, temperature, concentration, friction factor, local heat as well as mass transfer have been discussed and represented by plots. It is found that there exist dual solutions for the different applied nanofluid parameters along with the blowing parameter. The results reveal that by increasing the values of the Brownian motion (Nb), thermophoresis (Nt) and blowing parameters (fw), the skin friction increases (decreases) in the first (second) solution.
ISSN:1099-2871
1523-1496
DOI:10.1002/htj.21470