On three-dimensional incompressible Navier-Stokes fluid on cantor sets in spherical Cantor type co-ordinate system

Zhi Jun Meng; Yao Ming Zhou; Dong Mu Mei

doi:10.2298/TSCI16S3853M

On three-dimensional incompressible Navier-Stokes fluid on cantor sets in spherical Cantor type co-ordinate system

Zhi Jun Meng
, Yao Ming Zhou^*
, Dong Mu Mei

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This paper addresses the systems of the incompressible Navier-Stokes equations on Cantor sets without the external force involving the fractal heat-conduction problem vial local fractional derivative. The spherical Cantor type co-ordinate method is used to transfer the incompressible Navier-Stokes equation from the Cantorian co-ordinate system into the spherical Cantor type co-ordinate system.

Original language	English
Pages (from-to)	S853-S858
Journal	Thermal Science
Volume	20
DOIs	https://doi.org/10.2298/TSCI16S3853M
State	Published - 2016

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Heat-conduction problem
Incompressible Navier-Stokes equation
Local fractional derivative
Spherical Cantor type co-ordinate method

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10.2298/TSCI16S3853M

Cite this

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title = "On three-dimensional incompressible Navier-Stokes fluid on cantor sets in spherical Cantor type co-ordinate system",

abstract = "This paper addresses the systems of the incompressible Navier-Stokes equations on Cantor sets without the external force involving the fractal heat-conduction problem vial local fractional derivative. The spherical Cantor type co-ordinate method is used to transfer the incompressible Navier-Stokes equation from the Cantorian co-ordinate system into the spherical Cantor type co-ordinate system.",

keywords = "Heat-conduction problem, Incompressible Navier-Stokes equation, Local fractional derivative, Spherical Cantor type co-ordinate method",

author = "Meng, \{Zhi Jun\} and Zhou, \{Yao Ming\} and Mei, \{Dong Mu\}",

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AU - Zhou, Yao Ming

AU - Mei, Dong Mu

PY - 2016

Y1 - 2016

N2 - This paper addresses the systems of the incompressible Navier-Stokes equations on Cantor sets without the external force involving the fractal heat-conduction problem vial local fractional derivative. The spherical Cantor type co-ordinate method is used to transfer the incompressible Navier-Stokes equation from the Cantorian co-ordinate system into the spherical Cantor type co-ordinate system.

AB - This paper addresses the systems of the incompressible Navier-Stokes equations on Cantor sets without the external force involving the fractal heat-conduction problem vial local fractional derivative. The spherical Cantor type co-ordinate method is used to transfer the incompressible Navier-Stokes equation from the Cantorian co-ordinate system into the spherical Cantor type co-ordinate system.

KW - Heat-conduction problem

KW - Incompressible Navier-Stokes equation

KW - Local fractional derivative

KW - Spherical Cantor type co-ordinate method

UR - https://www.scopus.com/pages/publications/85029049435

U2 - 10.2298/TSCI16S3853M

DO - 10.2298/TSCI16S3853M

M3 - 文章

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VL - 20

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JO - Thermal Science

JF - Thermal Science

ER -

On three-dimensional incompressible Navier-Stokes fluid on cantor sets in spherical Cantor type co-ordinate system

Abstract

UN SDGs

Keywords

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