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

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