CLC number: TK123; O35

On-line Access: 2012-06-28

Received: 2011-05-02

Revision Accepted: 2011-08-11

Crosschecked: 2012-09-18

Cited: 10

Clicked: 9294

Mohammad Mohsen Shahmardan, Mahmood Norouzi, Mohammad Hassan Kayhani, Amin Amiri Delouei. An exact analytical solution for convective heat transfer in rectangular ducts[J]. Journal of Zhejiang University Science A, 2012, 13(10): 768-781.

@article{title="An exact analytical solution for convective heat transfer in rectangular ducts",

author="Mohammad Mohsen Shahmardan, Mahmood Norouzi, Mohammad Hassan Kayhani, Amin Amiri Delouei",

journal="Journal of Zhejiang University Science A",

volume="13",

number="10",

pages="768-781",

year="2012",

publisher="Zhejiang University Press & Springer",

doi="10.1631/jzus.A1100122"

}

%0 Journal Article

%T An exact analytical solution for convective heat transfer in rectangular ducts

%A Mohammad Mohsen Shahmardan

%A Mahmood Norouzi

%A Mohammad Hassan Kayhani

%A Amin Amiri Delouei

%J Journal of Zhejiang University SCIENCE A

%V 13

%N 10

%P 768-781

%@ 1673-565X

%D 2012

%I Zhejiang University Press & Springer

%DOI 10.1631/jzus.A1100122

TY - JOUR

T1 - An exact analytical solution for convective heat transfer in rectangular ducts

A1 - Mohammad Mohsen Shahmardan

A1 - Mahmood Norouzi

A1 - Mohammad Hassan Kayhani

A1 - Amin Amiri Delouei

J0 - Journal of Zhejiang University Science A

VL - 13

IS - 10

SP - 768

EP - 781

%@ 1673-565X

Y1 - 2012

PB - Zhejiang University Press & Springer

ER -

DOI - 10.1631/jzus.A1100122

**Abstract: **An exact analytical solution is obtained for convective heat transfer in straight ducts with rectangular cross-sections for the first time. This solution is valid for both H1 and H2 boundary conditions, which are related to fully developed convective heat transfer under constant heat flux at the duct walls. The separation of variables method and various other mathematical techniques are used to find the closed form of the temperature distribution. The local and mean Nusselt numbers are also obtained as functions of the aspect ratio. A new physical constraint is presented to solve the Neumann problem in non-dimensional analysis for the H2 boundary conditions. This is one of the major innovations of the current study. The analytical results indicate a singularity occurs at a critical aspect ratio of 2.4912 when calculating the local and mean Nusselt numbers.

**
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