Flow of Oldroyd 8-constant fluid in a scraped surface heat exchanger

A. Imran, Abdul M. Siddiqui, M. A. Rana

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this work the flow of the Oldroyd 8-constant fluid model in a scraped surface heat exchanger (SSHE) is studied. We have taken the steady incompressible isothermal flow of a fluid around a periodic arrangement of pivoted scraper blades in a channel for a generalized Poiseuille flow, and the flow is modeled using the lubrication-approximation theory (LAT), where as in SSHE the gaps between the blades and the device walls are narrow. Using these approximations we got the non-linear boundary value problem which is solved using the Adomian decomposition method. Expressions for velocity profiles for different regions, flow rates, stream function are obtained. Graphical and tabular representation for the velocity profile and for the different flow parameters involved is also incorporated. Foodstuffs behave as non-Newtonian material, possess shear-thinning and shear-thickening effects, so they are considered for the understanding of non-Newtonian effects inside the SSHE Oldroyd 8-constant fluid model. In addition to food industry this work will also be helpful in pharmaceutical and chemical industries as most of the materials used in the industry are non-Newtonian in nature.

Original languageEnglish (US)
Article number446
JournalEuropean Physical Journal Plus
Volume131
Issue number12
DOIs
StatePublished - Dec 1 2016

Fingerprint

heat exchangers
industries
blades
fluids
velocity distribution
isothermal flow
shear thinning
lubrication
approximation
laminar flow
food
boundary value problems
flow velocity
shear
decomposition

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

@article{803b8724c22d40dba5fbc20bd61d2d29,
title = "Flow of Oldroyd 8-constant fluid in a scraped surface heat exchanger",
abstract = "In this work the flow of the Oldroyd 8-constant fluid model in a scraped surface heat exchanger (SSHE) is studied. We have taken the steady incompressible isothermal flow of a fluid around a periodic arrangement of pivoted scraper blades in a channel for a generalized Poiseuille flow, and the flow is modeled using the lubrication-approximation theory (LAT), where as in SSHE the gaps between the blades and the device walls are narrow. Using these approximations we got the non-linear boundary value problem which is solved using the Adomian decomposition method. Expressions for velocity profiles for different regions, flow rates, stream function are obtained. Graphical and tabular representation for the velocity profile and for the different flow parameters involved is also incorporated. Foodstuffs behave as non-Newtonian material, possess shear-thinning and shear-thickening effects, so they are considered for the understanding of non-Newtonian effects inside the SSHE Oldroyd 8-constant fluid model. In addition to food industry this work will also be helpful in pharmaceutical and chemical industries as most of the materials used in the industry are non-Newtonian in nature.",
author = "A. Imran and Siddiqui, {Abdul M.} and Rana, {M. A.}",
year = "2016",
month = "12",
day = "1",
doi = "10.1140/epjp/i2016-16446-2",
language = "English (US)",
volume = "131",
journal = "European Physical Journal Plus",
issn = "2190-5444",
publisher = "Springer Science + Business Media",
number = "12",

}

Flow of Oldroyd 8-constant fluid in a scraped surface heat exchanger. / Imran, A.; Siddiqui, Abdul M.; Rana, M. A.

In: European Physical Journal Plus, Vol. 131, No. 12, 446, 01.12.2016.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Flow of Oldroyd 8-constant fluid in a scraped surface heat exchanger

AU - Imran, A.

AU - Siddiqui, Abdul M.

AU - Rana, M. A.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - In this work the flow of the Oldroyd 8-constant fluid model in a scraped surface heat exchanger (SSHE) is studied. We have taken the steady incompressible isothermal flow of a fluid around a periodic arrangement of pivoted scraper blades in a channel for a generalized Poiseuille flow, and the flow is modeled using the lubrication-approximation theory (LAT), where as in SSHE the gaps between the blades and the device walls are narrow. Using these approximations we got the non-linear boundary value problem which is solved using the Adomian decomposition method. Expressions for velocity profiles for different regions, flow rates, stream function are obtained. Graphical and tabular representation for the velocity profile and for the different flow parameters involved is also incorporated. Foodstuffs behave as non-Newtonian material, possess shear-thinning and shear-thickening effects, so they are considered for the understanding of non-Newtonian effects inside the SSHE Oldroyd 8-constant fluid model. In addition to food industry this work will also be helpful in pharmaceutical and chemical industries as most of the materials used in the industry are non-Newtonian in nature.

AB - In this work the flow of the Oldroyd 8-constant fluid model in a scraped surface heat exchanger (SSHE) is studied. We have taken the steady incompressible isothermal flow of a fluid around a periodic arrangement of pivoted scraper blades in a channel for a generalized Poiseuille flow, and the flow is modeled using the lubrication-approximation theory (LAT), where as in SSHE the gaps between the blades and the device walls are narrow. Using these approximations we got the non-linear boundary value problem which is solved using the Adomian decomposition method. Expressions for velocity profiles for different regions, flow rates, stream function are obtained. Graphical and tabular representation for the velocity profile and for the different flow parameters involved is also incorporated. Foodstuffs behave as non-Newtonian material, possess shear-thinning and shear-thickening effects, so they are considered for the understanding of non-Newtonian effects inside the SSHE Oldroyd 8-constant fluid model. In addition to food industry this work will also be helpful in pharmaceutical and chemical industries as most of the materials used in the industry are non-Newtonian in nature.

UR - http://www.scopus.com/inward/record.url?scp=85007148096&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85007148096&partnerID=8YFLogxK

U2 - 10.1140/epjp/i2016-16446-2

DO - 10.1140/epjp/i2016-16446-2

M3 - Article

VL - 131

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

IS - 12

M1 - 446

ER -