A Numerical Study Of The Flow Through A Porous Pipe With Expanding Or Contracting Wall

Two-dimensional flow in a porous pipe with expanding or contracting wall has important value in theoretical studies and practical applications.There is more and more evidence that the swell-shrink and porous characteristics of the pipe wall play an important role in the development of the fluid flow.But even up to now,the specific role of the swell-shrink and porous characteristics is not well understood yet and it has drawn lots of research focus during the last decades.Therefore studies on the flow in a porous pipe with expanding or contracting wall are significantly meaningful to understand the effects of the swell-shrink and porous characteristics on an efficient flow control method.With help from the latest results in research of numerical mathematics?physics and fluid mechanics and the combination of numerical and asymptotic solutions,this paper begins with laminar flow of Newtonian fluid in a porous circular pipe with expanding or contracting wall.When considering the blood in the vessel is non-Newtonian fluid and the research work on Newtonian fluid,a study of micropolar fluid flow in a porous circular pipe with expanding or contracting wall is investigated.To highlight research priorities,this paper mainly considers numerical simulation and theoretical analysis on multiple solutions and flow velocity.Moreover,numerical results agree well with asymptotic results,which shows that the results presented in this paper is right.Finally,innovative points and conclusions are included in the sixth chapter.In addition,the aim of this project is that based on the advantage of numerical or applied mathematics and the comparison of numerical and asymptotic results to obtain some fundamental and practical work.This paper also considers a comprehensive research in fluid mechanics and numerical mathematics,which makes up the inadequacy of fluid mechanics(or numerical mathematics)alone.It not only provides a new numerical technique and the process with treating the singular point,but also illustrates the corresponding mechanism,which is helpful to understand the current problems.