OHAM and FEM solutions of concentric n-layer flows of incompressible third-grade fluids in a horizontal cylindrical pipe

S. Iqbal, I. Siddique, Abdul M. Siddiqui

Research output: Contribution to journalReview article

Abstract

This paper examines the concentric n-layer flows for incompressible third-grade fluids through a horizontal cylindrical pipe. Such flows of multilayer fluids have a wide variety of applications in petroleum and chemical industries. The approximate solutions for velocity fields of multilayer flows are presented by the application of optimal homotopy asymptotic method and Galerkin’s finite element method. Further, it is shown that a unique maximum velocity always exists in the core of the pipe for any number of fluid layers. The effects of suitable parameters on the velocity profiles are presented graphically for multilayer flows.

Original languageEnglish (US)
Article number204
JournalJournal of the Brazilian Society of Mechanical Sciences and Engineering
Volume41
Issue number5
DOIs
StatePublished - May 1 2019

Fingerprint

Multilayers
Pipe
Finite element method
Fluids
Petroleum industry
Chemical industry

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

@article{2c620c9815084cfb8565386ff7ab606e,
title = "OHAM and FEM solutions of concentric n-layer flows of incompressible third-grade fluids in a horizontal cylindrical pipe",
abstract = "This paper examines the concentric n-layer flows for incompressible third-grade fluids through a horizontal cylindrical pipe. Such flows of multilayer fluids have a wide variety of applications in petroleum and chemical industries. The approximate solutions for velocity fields of multilayer flows are presented by the application of optimal homotopy asymptotic method and Galerkin’s finite element method. Further, it is shown that a unique maximum velocity always exists in the core of the pipe for any number of fluid layers. The effects of suitable parameters on the velocity profiles are presented graphically for multilayer flows.",
author = "S. Iqbal and I. Siddique and Siddiqui, {Abdul M.}",
year = "2019",
month = "5",
day = "1",
doi = "10.1007/s40430-019-1687-x",
language = "English (US)",
volume = "41",
journal = "Journal of the Brazilian Society of Mechanical Sciences and Engineering",
issn = "1678-5878",
publisher = "Brazilian Society of Mechanical Sciences and Engineering",
number = "5",

}

TY - JOUR

T1 - OHAM and FEM solutions of concentric n-layer flows of incompressible third-grade fluids in a horizontal cylindrical pipe

AU - Iqbal, S.

AU - Siddique, I.

AU - Siddiqui, Abdul M.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - This paper examines the concentric n-layer flows for incompressible third-grade fluids through a horizontal cylindrical pipe. Such flows of multilayer fluids have a wide variety of applications in petroleum and chemical industries. The approximate solutions for velocity fields of multilayer flows are presented by the application of optimal homotopy asymptotic method and Galerkin’s finite element method. Further, it is shown that a unique maximum velocity always exists in the core of the pipe for any number of fluid layers. The effects of suitable parameters on the velocity profiles are presented graphically for multilayer flows.

AB - This paper examines the concentric n-layer flows for incompressible third-grade fluids through a horizontal cylindrical pipe. Such flows of multilayer fluids have a wide variety of applications in petroleum and chemical industries. The approximate solutions for velocity fields of multilayer flows are presented by the application of optimal homotopy asymptotic method and Galerkin’s finite element method. Further, it is shown that a unique maximum velocity always exists in the core of the pipe for any number of fluid layers. The effects of suitable parameters on the velocity profiles are presented graphically for multilayer flows.

UR - http://www.scopus.com/inward/record.url?scp=85064002334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85064002334&partnerID=8YFLogxK

U2 - 10.1007/s40430-019-1687-x

DO - 10.1007/s40430-019-1687-x

M3 - Review article

AN - SCOPUS:85064002334

VL - 41

JO - Journal of the Brazilian Society of Mechanical Sciences and Engineering

JF - Journal of the Brazilian Society of Mechanical Sciences and Engineering

SN - 1678-5878

IS - 5

M1 - 204

ER -