The exterior unsteady viscous flow and heat transfer due to a porous expanding or contracting cylinder

Chao Wang; Xinhui Si; Yanan Shen; Liancun Zheng; Ping Lin

doi:10.3233/BME-151315

The exterior unsteady viscous flow and heat transfer due to a porous expanding or contracting cylinder

Chao Wang, Xinhui Si (Lead / Corresponding author), Yanan Shen, Liancun Zheng, Ping Lin

Mathematics

Research output: Contribution to journal › Meeting abstract › peer-review

2 Citations (Scopus)

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Abstract

Since the vessels in the biological tissues are characterized by low seepage Reynolds numbers and contracting or expanding walls, more attention is paid on the viscous flow outside the porous pipe with small expansion or contraction. This paper presents a numerical solution of the flow and heat transfer outside an expanding or contracting porous cylinder. The coupled nonlinear similarity equations are solved by Bvp4c, which is a collocation method with MATLAB. The effects of the different physical parameters, namely the permeability Reynolds number,the expansion ratio and the Prandtl number, on the velocity and temperature distribution are obtained and the results are shown graphically.

Original language	English
Pages (from-to)	S279-S285
Number of pages	7
Journal	Bio-medical Materials and Engineering
Volume	26
Issue number	s1
DOIs	https://doi.org/10.3233/BME-151315
Publication status	Published - 2015
Event	4th International Conference on Biomedical Engineering and Biotechnology - Royalton Hotel, Shanghia, China Duration: 18 Aug 2015 → 21 Aug 2015 http://2015.icbeb.org/

Keywords

Expanding porous cylinder
Expansion ratio
Similarity solution
Heat transfer

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10.3233/BME-151315Licence: CC BY-NC

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© 2015 – IOS Press and the authors. This article is published with Open Access and distributed under the terms of the Creative Commons Attribution and Non-Commercial License.
Final published version, 171 KBLicence: CC BY-NC

Cite this

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title = "The exterior unsteady viscous flow and heat transfer due to a porous expanding or contracting cylinder",

abstract = "Since the vessels in the biological tissues are characterized by low seepage Reynolds numbers and contracting or expanding walls, more attention is paid on the viscous flow outside the porous pipe with small expansion or contraction. This paper presents a numerical solution of the flow and heat transfer outside an expanding or contracting porous cylinder. The coupled nonlinear similarity equations are solved by Bvp4c, which is a collocation method with MATLAB. The effects of the different physical parameters, namely the permeability Reynolds number,the expansion ratio and the Prandtl number, on the velocity and temperature distribution are obtained and the results are shown graphically.",

keywords = "Expanding porous cylinder, Expansion ratio, Similarity solution, Heat transfer",

author = "Chao Wang and Xinhui Si and Yanan Shen and Liancun Zheng and Ping Lin",

year = "2015",

doi = "10.3233/BME-151315",

language = "English",

volume = "26",

pages = "S279--S285",

journal = "Bio-medical Materials and Engineering",

issn = "0959-2989",

publisher = "SAGE Publications",

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note = "4th International Conference on Biomedical Engineering and Biotechnology, ICBEB2015 ; Conference date: 18-08-2015 Through 21-08-2015",

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TY - JOUR

T1 - The exterior unsteady viscous flow and heat transfer due to a porous expanding or contracting cylinder

AU - Wang, Chao

AU - Si, Xinhui

AU - Shen, Yanan

AU - Zheng, Liancun

AU - Lin, Ping

PY - 2015

Y1 - 2015

N2 - Since the vessels in the biological tissues are characterized by low seepage Reynolds numbers and contracting or expanding walls, more attention is paid on the viscous flow outside the porous pipe with small expansion or contraction. This paper presents a numerical solution of the flow and heat transfer outside an expanding or contracting porous cylinder. The coupled nonlinear similarity equations are solved by Bvp4c, which is a collocation method with MATLAB. The effects of the different physical parameters, namely the permeability Reynolds number,the expansion ratio and the Prandtl number, on the velocity and temperature distribution are obtained and the results are shown graphically.

AB - Since the vessels in the biological tissues are characterized by low seepage Reynolds numbers and contracting or expanding walls, more attention is paid on the viscous flow outside the porous pipe with small expansion or contraction. This paper presents a numerical solution of the flow and heat transfer outside an expanding or contracting porous cylinder. The coupled nonlinear similarity equations are solved by Bvp4c, which is a collocation method with MATLAB. The effects of the different physical parameters, namely the permeability Reynolds number,the expansion ratio and the Prandtl number, on the velocity and temperature distribution are obtained and the results are shown graphically.

KW - Expanding porous cylinder

KW - Expansion ratio

KW - Similarity solution

KW - Heat transfer

U2 - 10.3233/BME-151315

DO - 10.3233/BME-151315

M3 - Meeting abstract

C2 - 26406014

SN - 0959-2989

VL - 26

SP - S279-S285

JO - Bio-medical Materials and Engineering

JF - Bio-medical Materials and Engineering

IS - s1

T2 - 4th International Conference on Biomedical Engineering and Biotechnology

Y2 - 18 August 2015 through 21 August 2015

ER -

The exterior unsteady viscous flow and heat transfer due to a porous expanding or contracting cylinder

Abstract

Keywords

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