Fractional Order Forced Convection Carbon Nanotube Nanofluid Flow Passing Over a Thin Needle

In the fields of fluid dynamics and mechanical engineering, most nanofluids are generally not linear in character, and the fractional order model is the most suitable model for representing such phenomena rather than other traditional approaches. The forced convection fractional order boundary layer...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 11; no. 3; p. 312
Main Authors Gul, Taza, Khan, Muhammad, Noman, Waqas, Khan, Ilyas, Abdullah Alkanhal, Tawfeeq, Tlili, Iskander
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 02.03.2019
Subjects
APCM technique
Boundary conditions
Boundary layer flow
Carbon
classical and fractional order problems
Computational fluid dynamics
Efficiency
Energy industry
Flow velocity
Fluid flow
Fluids
Forced convection
Heat conductivity
Heat transfer
Investigations
Mathematical models
Mechanical engineering
Multi wall carbon nanotubes
Nanofluids
Parameters
Physical properties
Predictor-corrector methods
Reynolds number
Single wall carbon nanotubes
SWCNT/MWCNT nanofluid
Thermal boundary layer
thin needle
Viscosity
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Summary:In the fields of fluid dynamics and mechanical engineering, most nanofluids are generally not linear in character, and the fractional order model is the most suitable model for representing such phenomena rather than other traditional approaches. The forced convection fractional order boundary layer flow comprising single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs) with variable wall temperatures passing over a needle was examined. The numerical solutions for the similarity equations were obtained for the integer and fractional values by applying the Adams-type predictor corrector method. A comparison of the SWCNTs and MWCNTs for the classical and fractional schemes was investigated. The classical and fractional order impact of the physical parameters such as skin fraction and Nusselt number are presented physically and numerically. It was observed that the impact of the physical parameters over the momentum and thermal boundary layers in the classical model were limited; however, while utilizing the fractional model, the impact of the parameters varied at different intervals.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11030312