caa a22 4500 605466661 CHVBK 20210128100308.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00397-014-0807-x doi (NATIONALLICENCE)springer-10.1007/s00397-014-0807-x An exact analytical solution for creeping Dean flow of Bingham plastics through curved rectangular ducts [Elektronische Daten] [Mahmood Norouzi, Behrooz Zare Vamerzani, Mahdi Davoodi, Nazanin Biglari, Mohammad Shahmardan] 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. Springer-Verlag Berlin Heidelberg, 2014 Bingham plastic nationallicence Dean flow nationallicence Creeping flow nationallicence Hedstrom number nationallicence Rectangular cross section nationallicence Yield stress nationallicence Norouzi Mahmood Department of Mechanical Engineering, Shahrood University, Shahrood, Iran aut Zare Vamerzani Behrooz Department of Mechanical Engineering, Shahrood University, Shahrood, Iran aut Davoodi Mahdi Department of Mechanical Engineering, Shahrood University, Shahrood, Iran aut Biglari Nazanin Shahid Beheshti University, Shahid Abbaspour Campus, Tehran, Iran aut Shahmardan Mohammad Department of Mechanical Engineering, Shahrood University, Shahrood, Iran aut Rheologica Acta Springer Berlin Heidelberg 54/5(2015-05-01), 391-402 0035-4511 54:5<391 2015 54 397 https://doi.org/10.1007/s00397-014-0807-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00397-014-0807-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Norouzi Mahmood Department of Mechanical Engineering, Shahrood University, Shahrood, Iran aut NATIONALLICENCE 700 1- Zare Vamerzani Behrooz Department of Mechanical Engineering, Shahrood University, Shahrood, Iran aut NATIONALLICENCE 700 1- Davoodi Mahdi Department of Mechanical Engineering, Shahrood University, Shahrood, Iran aut NATIONALLICENCE 700 1- Biglari Nazanin Shahid Beheshti University, Shahid Abbaspour Campus, Tehran, Iran aut NATIONALLICENCE 700 1- Shahmardan Mohammad Department of Mechanical Engineering, Shahrood University, Shahrood, Iran aut NATIONALLICENCE 773 0- Rheologica Acta Springer Berlin Heidelberg 54/5(2015-05-01), 391-402 0035-4511 54:5<391 2015 54 397