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

Rezazadeh, Mohammadreza; Zabihi, Ali; Davodi, A.G.; Inc, Mustafa; Adel, Waleed; Yesil, Melik B.

doi:10.22075/ijnaa.2022.26496.3332

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

Document Type : Research Paper

Authors

Mohammadreza Rezazadeh ¹

Ali Zabihi ²

A.G. Davodi ³

Mustafa Inc ⁴

Waleed Adel ⁵ ^{, 6}

Melik B. Yesil ⁷

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

10.22075/ijnaa.2022.26496.3332

Abstract

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.

Keywords

HAM

Walter's B' viscoelastic fluid

elliptic plate

velocity