Entropy 2004, 6[3], 304-315
Entropy
ISSN 1099-4300
http://www.mdpi.org/entropy/

Entropy Analysis for Non-Newtonian Fluid Flow in Annular Pipe: Constant Viscosity Case

Bekir Sami Yilbas1, Muhammet Yürüsoy2 and Mehmet Pakdemirli3

1 Department of Mechanical Engineering, King Fahd University of Petroleum and Minerals, P.O. Box 1913, Dhahran 31261, Saudi Arabia.
Tel. +966 3 860 4481; Fax +966 3 860 2949; E-mail: [email protected]
2 Technical Education Faculty, Afyon Kocatepe University, Afyon, Turkey. E-mail: [email protected]
3 Department of Mechanical Engineering, King Fahd University of Petroleum and Minerals, P.O. Box 805, Dhahran 31261, Saudi Arabia.
Tel. +966 3 860 1747; Fax +966 3 860 2949; E-mail: [email protected]

Received: 15 March 2004 / Accepted: 1 June 2004 / Published: 6 June 2004

Abstract: In the present study, non-Newtonian flow in annular pipe is considered. The analytical solution for velocity and temperature fields is presented while entropy generation due to fluid friction and heat transfer is formulated. The third grade fluid with constant properties is accommodated in the analysis. It is found that reducing non-Newtonian parameter increases maximum velocity magnitude and maximum temperature in the annular pipe. Total entropy generation number attains high values in the region close to the inner wall of the annular pipe, which becomes significant for low non-Newtonian parameters. Increasing Brinkman number enhances entropy generation number, particularly in the region close to the annular pipe inner wall.

Keywords: non-Newtonian; third grade fluid; annular pipe; entropy.


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