Theoretical analysis on the laminar flow of an elastico-viscous fluid between a moving elliptic plate with constant injection and the ground

Scientific Research and Essays

Serdar Barış¹ 

关键词:  ;    Elasticoviscous fluid;    porous slider;    load-carrying capacity;    friction force.;   

DOI  :  10.5897/SRE11.2225

学科分类：社会科学、人文和艺术（综合）

来源: Academic Journals

【 摘 要 】

A theoretical study is presented for the problem of injection of an elastico-viscous fluid through a moving elliptic plate. The governing equations are reduced to a system of nonlinear ordinary differential equations by means of appropriate transformations for the velocity components. The resulting boundary value problem is solved numerically using the Matlab solver singular boundary value problem (SBVP). The current numerical analysis encompasses the range of cross-flow Reynolds numberRas. The results are compared with those known from the literature and an excellent agreement is found. Perturbation solutions are also obtained for smallR. A comparison of the numerical solutions with the perturbation solutions is made. The comparison shows that the perturbation solutions give acceptable results forand, whereNis the viscoelastic fluid parameter. The influence of the viscoelastic fluid parameter on the velocity, load-carrying capacity and friction force has been examined carefully.

【 授权许可】

CC BY