Transient flow through a porous channel with ramped pressure gradient and velocity slip boundary condition

• Autorzy: Jha Basant K. , Yunus Zainab Sa'id

Identyfikatory

DOI

10.2478/ijame-2022-0006

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

transient flow; velocity slip; ramped pressure gradient; Riemann-Sum approximation technique

PL

przepływ przejściowy; prędkość; ciśnienie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2022
• Tom: Vol. 27, no. 1
• Strony: 78--90
• Opis fizyczny: Bibliogr. 16 poz., tab., wykr.

Twórcy

autor

Jha Basant K.

• Department of Mathematics, Ahmadu Bello University, Zaria, NIGERIA

autor

Yunus Zainab Sa'id

• Department of Mathematics, Ahmadu Bello University, Zaria, NIGERIA

Bibliografia

• [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.
• [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.
• [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.
• [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.
• [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.
• [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.
• [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.
• [8] Jha B.K. and Gambo D. (2021): Hydrodynamic effect of slip boundaries and exponentially decaying/growing timedependent pressure gradient on Dean flow.– Journal of Egypt Mathematical Society, vol.29, No.11, p.15, DOI:10.1186/s42787-021-00120-z.
• [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.
• [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.
• [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.
• [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.
• [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.
• [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.
• [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.
• [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.

Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)