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109303

Semi-Analytic Modeling of Laminar Forced Convection in a Rectangular Duct for Arbitrary Boundary Conditions and Inlet Temperature Profile.

Article

Last updated: 04 Jan 2025

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Tags

Mechanical Power Engineering

Abstract

Modeling the forced convection heat transfer with arbitrary boundary conditions and inlet temperature profile was studied in order to go beyond the classic, but unrealistic cases of imposed uniform heat flux or wall temperature as well as a flat temperature at the inlet. The proposed approach, known as the Flexible Profile Compact Thermal Model (FP-CTM), which has been proposed earlier to treat circular cross-section ducts, is generalized here to treat ducts with a rectangular cross-section. It is applied to the laminar hydrodynamically fully developed flow but thermally developing. It offers significant advantages over the traditional model of convective heat transfer coefficient (HTC), for which correlations only exist for uniform boundary conditions and inlet profile.  The proposed approach makes it more efficient when dealing with problems with non-uniform conditions such as conjugate heat transfer problems. A critical advantage of this approach is that it uses a semi-analytic treatment to produce highly accurate results that are comparable to those produced by commercial CFD tools but with significantly less CPU time. Results obtained from the proposed approach, i.e. FP-CTM were compared with that obtained from Ansys Fluent. The comparison has shown that FP-CTM is very reliable. The maximum error compared with Fluent solver results was 0.01 °C for a temperature range between the inlet and outlet of about 50 °C. Based on the preceding comparison, the FP approach was used to solve different problems with different boundary conditions (uniform and linear heating) and inlet profiles (flat and non-flat inlet) using significantly fewer computing resources.

DOI

10.21608/bfemu.2020.109303

Keywords

Forced convection, Laminar flow, Arbitrary boundary, conditions, Arbitrary inlet profile, Rectangular ducts, Compact Thermal model, Flexible profile

Authors

First Name

Rawan

Last Name

Mokhtar

MiddleName

Y.

Affiliation

Reasearcher at Mechanical Power Engineering Dpt., Mansoura University,Mansoura

Email

rawanyasser23@gmail.com

City

Mansoura

Orcid

-

First Name

Mohamed

Last Name

Tawfik

MiddleName

M.

Affiliation

Lecturer at Mechanical Power Engineering Dpt.,Mansoura University, Mansoura, Egypt

Email

m_tawfik@gmail.com

City

-

Orcid

-

First Name

Mohamed

Last Name

Sabry

MiddleName

Nabil

Affiliation

Mechanical Power Engineering Department, Faculty of Engineering, Mansoura University, El-Mansoura 35516, Egypt

Email

mnabil.sabry@gmail.com

City

-

Orcid

-

Volume

45

Article Issue

3

Related Issue

15732

Issue Date

2020-09-01

Receive Date

2020-04-21

Publish Date

2020-08-24

Page Start

9

Page End

18

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 45_Issue 3_Pages 9-18.pdf

PDF . 393.8kB

Link

https://bfemu.journals.ekb.eg/article_109303.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=109303

Order

14

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Semi-Analytic Modeling of Laminar Forced Convection in a Rectangular Duct for Arbitrary Boundary Conditions and Inlet Temperature Profile.

Details

Type

Article

Created At

22 Jan 2023