Effects of elasticity and cross-flow Reynolds on visco-elastic fluids across the ground and a porous elliptic plate

Document Type : Research Paper


1 Department of Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran

2 Department of Mechanical Engineering, Ahrar Institute of Technology and Higher Education, Rasht, Iran

3 Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O. Box 484, Babol, Iran

4 Department of Mathematics, Science Faculty, Firat University, Elazig, Turkey

5 Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt

6 Universite Francaise d'Egypte, Ismailia Desert Road, El Shorouk, Cairo, Egypt

7 Osmaniye Korkut Ata University, Duzici Vocational School, Osmaniye, Turkey


We are concerned with an analysis performed to simulate the steady-state Walter's B' viscoelastic fluid in a 3-D space across the ground and a porous elliptic plate. We study the effect of viscoelasticity and with the help of a suitable resemblance transformation for components of velocity, fundamental equations are then reduced to a set of ODEs which are then solved by the Homotopy analysis method (HAM). Impacts of elasticity and cross-flow Reynolds number are discussed.


Volume 14, Issue 1
January 2023
Pages 1747-1758
  • Receive Date: 03 March 2022
  • Accept Date: 11 April 2022