Role of exponentially decaying-growing time-dependent pressure gradient on unsteady dean flow: a riemann-sum approximation approach
Joint Authors
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 28, Issue 1 (31 Dec. 2021), pp.1-11, 11 p.
Publisher
University of Bahrain College of Science
Publication Date
2021-12-31
Country of Publication
Bahrain
No. of Pages
11
Main Subjects
Abstract EN
Our study probes the impact of an exponentially decaying/growing time-dependent pressure gradient on unsteady Dean flow in a curved concentric cylinder.
A two-step method of solution has been employed in the treatment of the governing momentum equation.
Accordingly, the exact solution of the time-dependent partial differential equation is derived in terms of the Laplace variable.
The Laplace domain solution is then transformed to the time domain using a numerical inversing scheme known as Riemann-sum approximation.
The effect of the various dimensionless parameters involved in the problem on the Dean velocity, skin drags and Dean vortex are illustrated graphically.
It was established that maximum Dean velocity is due to an exponentially growing time-dependent pressure gradient.
However, the instability of the Dean vortex is rendered less effective by reducing time and applying an exponentially decaying time-dependent pressure gradient.
American Psychological Association (APA)
Jha, Basant K.& Gambo, Dauda. 2021. Role of exponentially decaying-growing time-dependent pressure gradient on unsteady dean flow: a riemann-sum approximation approach. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.1-11.
https://search.emarefa.net/detail/BIM-1340603
Modern Language Association (MLA)
Jha, Basant K.& Gambo, Dauda. Role of exponentially decaying-growing time-dependent pressure gradient on unsteady dean flow: a riemann-sum approximation approach. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.1-11.
https://search.emarefa.net/detail/BIM-1340603
American Medical Association (AMA)
Jha, Basant K.& Gambo, Dauda. Role of exponentially decaying-growing time-dependent pressure gradient on unsteady dean flow: a riemann-sum approximation approach. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.1-11.
https://search.emarefa.net/detail/BIM-1340603
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 9-11
Record ID
BIM-1340603