Author:
Hamid Rohana Abdul,Nazar Roslinda,Pop Ioan
Abstract
Purpose
The purpose of this paper is to numerically study the boundary layer problem for the case of two-dimensional flow of dusty fluid over a shrinking surface in the presence of the fluid suction at the surface.
Design/methodology/approach
The governing equations of the problem are reduced to the system of ordinary differential equations using the similarity transformation and then solved using the bvp4c method in the Matlab software.
Findings
The effects of the drag coefficient parameter L, the fluid–particle interaction parameter δ, the suction parameter s and the particle loading parameter ω on the flow of the permeable shrinking sheet are investigated. It is found that the aforementioned parameters have different effects in the shrinking sheet flow. This study has also succeeded in discovering the second solution, and through the stability analysis, it is suggested that the solution is unstable and not physically realizable in practice.
Practical implications
The current findings add to a growing body of literature on the boundary layer problem in the dusty fluid. The dusty fluid is significant in various practical applications such as in the transporting suspended powdered materials through pipes, propulsion and combustion in rockets, the flow of blood in arteries, wastewater treatment and as corrosive particles in engine oil flow.
Originality/value
Even though the dusty fluid problem has been extensively studied in the flow of the stretching sheet, limited findings can be found over a shrinking flow. In fact, this is the first study to discover the second solution in the dusty fluid problem.
Subject
Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials
Reference36 articles.
1. Dual solutions in MHD flow on a nonlinear porous shrinking sheet in a viscous fluid;Boundary Value Problems,2013
2. Effects of suction/blowing on steady boundary layer stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation;International Journal of Heat and Mass Transfer,2011
3. Unsteady flow of a dusty conducting fluid through a pipe;Mechanics Research Communications,1994
4. Unsteady flow of an electrically conducting dusty-gas in a channel due to an oscillating pressure gradient;Applied Mathematical Modelling,1997
5. Particulate viscous effects on the compressible boundary-layer two phase flow over a flat plate;International Communications in Heat and Mass Transfer,1998
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献