Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain
The present paper reports a theoretical study of the dynamics of an electroosmotic flow (EOF) in cylindrical domain. The Cauchy momentum equation is first simplified by incorporating the electrostatic body force in the electric double layer and the generalized Burgers fluid constitutive model. The e...
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doaj-166e56e54fff44e4b90be05b8ed190582020-11-24T21:58:32ZengElsevierResults in Physics2211-37972016-01-016933939Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domainMasood Khan0Asma Farooq1Waqar Azeem Khan2Mazhar Hussain3Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan; Corresponding author.Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Islamabad 44000, PakistanThe present paper reports a theoretical study of the dynamics of an electroosmotic flow (EOF) in cylindrical domain. The Cauchy momentum equation is first simplified by incorporating the electrostatic body force in the electric double layer and the generalized Burgers fluid constitutive model. The electric potential distribution is given by the linearized Poisson–Boltzmann equation. After solving the linearized Poisson–Boltzmann equation, the Cauchy momentum equation with electrostatic body force is solved analytically by using the temporal Fourier and finite Hankel transforms. The effects of important involved parameters are examined and presented graphically. The results obtained reveal that the magnitude of velocity increases with increase of the Debye–Huckel and electrokinetic parameters. Further, it is shown that the results presented for generalized Burgers fluid are quite general so that results for the Burgers, Oldroyd-B, Maxwell and Newtonian fluids can be obtained as limiting cases. Keywords: Generalized Burgers fluid, Electroosmotic flow, Fourier and Hankel transformhttp://www.sciencedirect.com/science/article/pii/S2211379716303436 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Masood Khan Asma Farooq Waqar Azeem Khan Mazhar Hussain |
spellingShingle |
Masood Khan Asma Farooq Waqar Azeem Khan Mazhar Hussain Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain Results in Physics |
author_facet |
Masood Khan Asma Farooq Waqar Azeem Khan Mazhar Hussain |
author_sort |
Masood Khan |
title |
Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain |
title_short |
Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain |
title_full |
Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain |
title_fullStr |
Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain |
title_full_unstemmed |
Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain |
title_sort |
exact solution of an electroosmotic flow for generalized burgers fluid in cylindrical domain |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2016-01-01 |
description |
The present paper reports a theoretical study of the dynamics of an electroosmotic flow (EOF) in cylindrical domain. The Cauchy momentum equation is first simplified by incorporating the electrostatic body force in the electric double layer and the generalized Burgers fluid constitutive model. The electric potential distribution is given by the linearized Poisson–Boltzmann equation. After solving the linearized Poisson–Boltzmann equation, the Cauchy momentum equation with electrostatic body force is solved analytically by using the temporal Fourier and finite Hankel transforms. The effects of important involved parameters are examined and presented graphically. The results obtained reveal that the magnitude of velocity increases with increase of the Debye–Huckel and electrokinetic parameters. Further, it is shown that the results presented for generalized Burgers fluid are quite general so that results for the Burgers, Oldroyd-B, Maxwell and Newtonian fluids can be obtained as limiting cases. Keywords: Generalized Burgers fluid, Electroosmotic flow, Fourier and Hankel transform |
url |
http://www.sciencedirect.com/science/article/pii/S2211379716303436 |
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