Current issue
Archive
About the Journal
Editorial Policies
For Authors
1/2022 vol. 27
Stats
Get citation
ORIGINAL PAPER
Transient Flow Through a Porous Channel with Ramped Pressure Gradient and Velocity Slip Boundary Condition
Basant K. Jha 1
,
 
Zainab Sa’id Yunus 1
 
 
 
More details
Hide details
1
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
 
 
Online publication date: 2022-03-17
 
 
Publication date: 2022-03-01
 
 
International Journal of Applied Mechanics and Engineering 2022;27(1):78-90
DOI: https://doi.org/10.2478/ijame-2022-0006
 
 
Article (PDF)
References (16)
 
KEYWORDS
transient flow
velocity slip
ramped pressure gradient
Riemann-Sum approximation technique
 
ABSTRACT
A transient flow formation of an incompressible fluid through a horizontal porous channel assuming a ramped pressure gradient is considered with the velocity slip boundary conditions. The flow is a laminar flow caused by ramped pressure gradient along the flow direction. The equation governing the flow is modeled, and solved by the Laplace transformation technique to obtain a semi-analytical solution under slip boundary conditions. It was noted that the flow velocity increases as the slip parameter is increased.
REFERENCES (16)
1.
Liu Q. and Prosperitti A. (2011): Pressure-driven flow in a channel with porous walls.– Journal of Fluid Mechanics, vol.679, pp.77-100.
Google Scholar
 
 
2.
Fang T. (2004): Further discussion on the incompressible pressure-driven flow in a channel with porous walls.– International Communication of Heat Mass Transfer, vol.31, No.4, pp.487-500.
Google Scholar
 
 
3.
Fang T. (2004): A note on the incompressible Couette flow with porous walls.– International Communication of Heat Mass Transfer, vol.31, No.1, pp.31-41.
Google Scholar
 
 
4.
Hafeez H.Y. and Ndikilar C.E. (2014): Flow of viscous fluid between two parallel porous plates with bottom injection and top suction.– Progress in Physics, vol.10, No.1, pp.49-51.
Google Scholar
 
 
5.
Khaled A.-R.A. and Vafai K. (2004): The effect of slip condition on Stokes and Couette flows due to an oscillating wall: exact solutions.– International Journal of Non Linear Mechanics, vol.39, pp.795-809.
Google Scholar
 
 
6.
Jha B.K. and Jibril H.M. (2013): Unsteady hydromagnetic Couette flow due to ramped motion of one of the plates.– International Journal of Applied Mechanics and Engineering, vol.18, No.4, pp.1039-1056.
Google Scholar
 
 
7.
Jha B.K. and Gambo Y.Y. (2019): Dufour effect with ramped wall temperature and specie concentration on natural convection flow through a channel.– MDPI, vol.1, No.1, pp.111-130.
Google Scholar
 
 
8.
Jha B.K. and Gambo D. (2021): Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow.– Journal of Egypt Mathematical Society, vol.29, No.11, p.15, DOI:10.1186/s42787-021-00120-z.
CrossRef
 
Google Scholar
 
 
9.
Ahmad S., Chishtie F. and Mahmood A. (2017): Analytical technique for MHD fluid flow of a periodically accelerated plate with slippage.– European Journal of Mechanics, vol.65, pp.192-198, DOI:/10.1016/j.euromechflu.2017.03.012 S0997-7546(16)30337-5.
Google Scholar
 
 
10.
Nagayama G., Matsumoto T. Fukushima, K. and Tsuruta T. (2017): Scale effect of slip boundary condition at solid-liquid interface.– Scientific reports, vol.7, Article No.43125, p.8.
Google Scholar
 
 
11.
Wang C.Y. (2013): The effect of slip on the flow in a rotating channel.– Technical note, Chemical Engineering Communications, vol.200, pp.587-594.
Google Scholar
 
 
12.
Fang T. and Lee C.F. (2006): Exact solutions of incompressible Couette flow with porous walls for slightly rarefied gases.– Heat Mass Transfer, vol.42, pp.255-262.
Google Scholar
 
 
13.
Wang C.Y. (2012): Brief review of exact solutions for slip-flow in ducts and channels.– Journal of Fluid Engineering, vol.134, ID 094501-2.
Google Scholar
 
 
14.
Jha B. K. and Danjuma Y.J. (2020): Unsteady Dean flow formation in an annulus with partial slippage: A Riemann-Sum approximation approach.– Results in Engineering, vol.5, Article No.100078, p.3.
Google Scholar
 
 
15.
Jha B.K. and Aina B. (2016): Role of suction/injection on steady fully developed mixed convection flow in a vertical parallel plate microchannel.– Ain Shams Engineering Journal, vol.9, No.4, pp.2090-4479, doi.org/10.1016/j.asej.05.001.
Google Scholar
 
 
16.
Ashwini B., Katagi N.N. and Rai A.S. (2017): Analysis of laminar flow through a porous channel with velocity slip.– Malaysian Journal of Mathematical Sciences, vol.11, No.3, pp.423-439.
Google Scholar
 
 
Share
Send by email
RELATED ARTICLE
Slow Extensional Flow Past a Non-Homogeneous Porous Spherical Shell
Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel
An Oscillatory Radiating Hydromagnetic Internal Heat Generating Fluid Flow Through a Vertcal Porous Channel with Slip and Temperature Jump
Simultaneous Effects of Heat Transfer and Variable Viscosity on Peristaltic Transport of Casson Fluid Flow in an Inclined Porous Tube
Indexes
 
Keywords index
Topics index
Authors index
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
In the years 2019-2020, the International Journal of Applied Mechanics and Engineering is financed under contract no. 634/P-DUN/2019 by the Minister of Science and Higher Education from funds for science dissemination activities. The financing amounts to 83.500 PLN.
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2024 Journal hosting platform by Bentus
Scroll to top