Wire coating extrusion in a pressure-type die in flow of a third grade fluid via homotopy perturbation method

A. M. Siddiqui; T. Haroon; H. Khan

doi:10.1515/IJNSNS.2009.10.2.247

Wire coating extrusion in a pressure-type die in flow of a third grade fluid via homotopy perturbation method

A. M. Siddiqui, T. Haroon, H. Khan

Penn State York

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

A mathematical model for third grade fluid is developed for the wire coating, using a conical unit, where the flow is dependent on the wire velocity and the geometry of the unit. The nonlinear constitutive equations are formulated in cylindrical coordinates and theoretical results are obtained by using the homotopy perturbation method. Explicit analytical expressions for velocity field, radius of the coated wire, volumetric flow rate, shear stress on the wire surface and force on the total wire surface have been derived.

Original language	English (US)
Pages (from-to)	247-257
Number of pages	11
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	10
Issue number	2
DOIs	https://doi.org/10.1515/IJNSNS.2009.10.2.247
State	Published - Jan 1 2009

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Computational Mechanics
Modeling and Simulation
Engineering (miscellaneous)
Mechanics of Materials
Physics and Astronomy(all)
Applied Mathematics

Access to Document

10.1515/IJNSNS.2009.10.2.247

Fingerprint Dive into the research topics of 'Wire coating extrusion in a pressure-type die in flow of a third grade fluid via homotopy perturbation method'. Together they form a unique fingerprint.

Cite this

@article{9c878c295e834ff78325616f9f0148ba,

title = "Wire coating extrusion in a pressure-type die in flow of a third grade fluid via homotopy perturbation method",

abstract = "A mathematical model for third grade fluid is developed for the wire coating, using a conical unit, where the flow is dependent on the wire velocity and the geometry of the unit. The nonlinear constitutive equations are formulated in cylindrical coordinates and theoretical results are obtained by using the homotopy perturbation method. Explicit analytical expressions for velocity field, radius of the coated wire, volumetric flow rate, shear stress on the wire surface and force on the total wire surface have been derived.",

author = "Siddiqui, {A. M.} and T. Haroon and H. Khan",

year = "2009",

month = jan,

day = "1",

doi = "10.1515/IJNSNS.2009.10.2.247",

language = "English (US)",

volume = "10",

pages = "247--257",

journal = "International Journal of Nonlinear Sciences and Numerical Simulation",

issn = "1565-1339",

publisher = "Walter de Gruyter GmbH & Co. KG",

number = "2",

}

TY - JOUR

T1 - Wire coating extrusion in a pressure-type die in flow of a third grade fluid via homotopy perturbation method

AU - Siddiqui, A. M.

AU - Haroon, T.

AU - Khan, H.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - A mathematical model for third grade fluid is developed for the wire coating, using a conical unit, where the flow is dependent on the wire velocity and the geometry of the unit. The nonlinear constitutive equations are formulated in cylindrical coordinates and theoretical results are obtained by using the homotopy perturbation method. Explicit analytical expressions for velocity field, radius of the coated wire, volumetric flow rate, shear stress on the wire surface and force on the total wire surface have been derived.

AB - A mathematical model for third grade fluid is developed for the wire coating, using a conical unit, where the flow is dependent on the wire velocity and the geometry of the unit. The nonlinear constitutive equations are formulated in cylindrical coordinates and theoretical results are obtained by using the homotopy perturbation method. Explicit analytical expressions for velocity field, radius of the coated wire, volumetric flow rate, shear stress on the wire surface and force on the total wire surface have been derived.

UR - http://www.scopus.com/inward/record.url?scp=65349162400&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65349162400&partnerID=8YFLogxK

U2 - 10.1515/IJNSNS.2009.10.2.247

DO - 10.1515/IJNSNS.2009.10.2.247

M3 - Article

AN - SCOPUS:65349162400

VL - 10

SP - 247

EP - 257

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

SN - 1565-1339

IS - 2

ER -