An exact analytical solution for creeping Dean flow of Bingham plastics through curved rectangular ducts

Verfasser / Beitragende:
[Mahmood Norouzi, Behrooz Zare Vamerzani, Mahdi Davoodi, Nazanin Biglari, Mohammad Shahmardan]
Ort, Verlag, Jahr:
2015
Enthalten in:
Rheologica Acta, 54/5(2015-05-01), 391-402
Format:
Artikel (online)
ID: 605466661
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024 7 0 |a 10.1007/s00397-014-0807-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00397-014-0807-x 
245 0 3 |a An exact analytical solution for creeping Dean flow of Bingham plastics through curved rectangular ducts  |h [Elektronische Daten]  |c [Mahmood Norouzi, Behrooz Zare Vamerzani, Mahdi Davoodi, Nazanin Biglari, Mohammad Shahmardan] 
520 3 |a In this paper, an exact analytical solution for creeping flow of Bingham plastic fluid passing through curved rectangular ducts is presented for the first time. The closed form of axial velocity distribution, flow resistance ratio, and wall shear stress are derived using bounded Fourier transformation. An extensive investigation on mutual effects of Hedstrom number, curvature ratio, and aspect ratio is conducted. The results indicate that a drag reduction is caused in the flow field by increasing the Hedstrom number. It is shown that unlike the Newtonian creeping Dean flow, the critical aspect ratio (an aspect ratio in which the flow resistance ratio is independent from curvature ratio) does not exist at large enough Hedstrom numbers. Analytical solution also indicated that as Hedstrom number is increased, the value of Poiseuille number is enhanced, and unlike the Newtonian flows, the value of Poiseuille number is not zero at edges of cross section. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Bingham plastic  |2 nationallicence 
690 7 |a Dean flow  |2 nationallicence 
690 7 |a Creeping flow  |2 nationallicence 
690 7 |a Hedstrom number  |2 nationallicence 
690 7 |a Rectangular cross section  |2 nationallicence 
690 7 |a Yield stress  |2 nationallicence 
700 1 |a Norouzi  |D Mahmood  |u Department of Mechanical Engineering, Shahrood University, Shahrood, Iran  |4 aut 
700 1 |a Zare Vamerzani  |D Behrooz  |u Department of Mechanical Engineering, Shahrood University, Shahrood, Iran  |4 aut 
700 1 |a Davoodi  |D Mahdi  |u Department of Mechanical Engineering, Shahrood University, Shahrood, Iran  |4 aut 
700 1 |a Biglari  |D Nazanin  |u Shahid Beheshti University, Shahid Abbaspour Campus, Tehran, Iran  |4 aut 
700 1 |a Shahmardan  |D Mohammad  |u Department of Mechanical Engineering, Shahrood University, Shahrood, Iran  |4 aut 
773 0 |t Rheologica Acta  |d Springer Berlin Heidelberg  |g 54/5(2015-05-01), 391-402  |x 0035-4511  |q 54:5<391  |1 2015  |2 54  |o 397 
856 4 0 |u https://doi.org/10.1007/s00397-014-0807-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00397-014-0807-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Norouzi  |D Mahmood  |u Department of Mechanical Engineering, Shahrood University, Shahrood, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zare Vamerzani  |D Behrooz  |u Department of Mechanical Engineering, Shahrood University, Shahrood, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Davoodi  |D Mahdi  |u Department of Mechanical Engineering, Shahrood University, Shahrood, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Biglari  |D Nazanin  |u Shahid Beheshti University, Shahid Abbaspour Campus, Tehran, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Shahmardan  |D Mohammad  |u Department of Mechanical Engineering, Shahrood University, Shahrood, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Rheologica Acta  |d Springer Berlin Heidelberg  |g 54/5(2015-05-01), 391-402  |x 0035-4511  |q 54:5<391  |1 2015  |2 54  |o 397