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Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 10، دوره 6، Special Issue، اسفند 2020، صفحه 1168-1177 اصل مقاله (1.09 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2020.32136.1973 | ||
| نویسندگان | ||
| Zarqa Bano1؛ Abdul Majeed Siddiqui2؛ Kaleemullah Bhatti* 1 | ||
| 1Department of Mathematics and Social Sciences, Sukkur IBA University, Airport Road Sukkur, 65200, Pakistan | ||
| 2Department of Mathematics (York Campus), Pennsylvania State University, York, PA 17403, USA | ||
| چکیده | ||
| The problem of unsteady Stokes flow of certain Newtonian fluids in a circular pipe of uniform cross section is discussed. The pipe is uniformly porous. The unsteady Navier-Stokes equations for the system in cylindrical polar coordinates have been solved analytically to obtain a complete description of the flow. The solution of the flow equations subject to the slip boundary conditions leads to the detailed expressions for axial and radial components of velocity and the pressure distribution depending on position coordinates and time. As a special case we have presented the situation when no-slip boundary conditions are implemented. The velocity profile is analyzed for different values of the flow parameters like Womersley number, slip length and time. | ||
| کلیدواژهها | ||
| Hydrodynamics؛ Porous Channel؛ Periodic Suction and Injection؛ Slippage Effects | ||
| مراجع | ||
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[4] Bano, Z., Bhatti, K., Siddiqui, A. M., Unsteady incompressible Stokes flow through porous pipe of uniform circular cross section with periodic suction and injection, Sukkur IBA Journal of Computing and Mathematical Sciences, 1(1), 2017, 13–22.
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[8] Tsangaris, S., Kondaxakis, D., Vlachakis, N. W., Exact solution for flow in a porous pipe with unsteady wall suction and/or injection, Communications in Nonlinear Science and Numerical Simulation, 12, 2007, 1181-1189.
[9] Sidnawi, B., Santhanam S., Wu Q., Analytical and numerical study of pulsatile flow in a porous tube, Journal of Fluid Engineering, 141, 2019, 121205-1.
[10] Silvia, J. B., Bogdan, V., Derivation of Navier slip and slip length for viscous flows over a rough boundary, Physics of Fluids, 29, 2017, 057103.
[11] Womersley, J. R., Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known, Journal of Physiology, 127, 1955, 553-563. | ||
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