Thermal analysis of fluid flow is always regarded as an important research issue within cavities in order to become familiar with the characteristics of fluid flow phenomenon in enclosures. This research paper investigates the fluid and heat transfer analysis of fluid flow inside a triangular cavity using natural element methodology (NEM). This Galerkin-based methodology has been introduced for a decade and almost demonstrated its efficiency in the numerical heat transfer analysis of problems in most engineering sciences. The fluid flow contains natural convection along with conduction and radiation heat transfer with medium's walls, which have absorbing, emitting, semitransparent, and nonscattering characteristics. The final results investigate the effects of radiative and natural convection heat transfer on the fluid flow pattern as expressed in Rayleigh number, stream function, strength of natural convection regime, etc., which are checked with other similar studies presented in the literature and shows how promising NEM can be as an efficient numerical approach to improve computational precision when dealing with fluid mechanic problems.

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# A Novel Numerical Approach for Convective and Radiative Heat Transfer Analysis of Fluid Flow Problems Within Triangular Cavities Using Natural Element Method

Ardeshir Moftakhari

,
Ardeshir Moftakhari

Cockrell School of Engineering,

Department of Civil, Architectural and

Environmental Engineering,

University of Texas at Austin,

Austin, TX 78712

e-mail: ardeshir_2010@yahoo.com

Department of Civil, Architectural and

Environmental Engineering,

University of Texas at Austin,

Austin, TX 78712

e-mail: ardeshir_2010@yahoo.com

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Cyrus Aghanajafi

,
Cyrus Aghanajafi

School of Mechanical Engineering,

K. N. Toosi University of Technology,

Tehran 64499, Iran

K. N. Toosi University of Technology,

Tehran 64499, Iran

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Ardalan Moftakhari Chaei Ghazvin

Ardalan Moftakhari Chaei Ghazvin

Department of Mechanical Engineering,

Chemnitz University of Technology,

Chemnitz 09111, Germany

Chemnitz University of Technology,

Chemnitz 09111, Germany

Search for other works by this author on:

Ardeshir Moftakhari

Department of Civil, Architectural and

Environmental Engineering,

University of Texas at Austin,

Austin, TX 78712

e-mail: ardeshir_2010@yahoo.com

Cyrus Aghanajafi

School of Mechanical Engineering,

K. N. Toosi University of Technology,

Tehran 64499, Iran

K. N. Toosi University of Technology,

Tehran 64499, Iran

Ardalan Moftakhari Chaei Ghazvin

Department of Mechanical Engineering,

Chemnitz University of Technology,

Chemnitz 09111, Germany

Chemnitz University of Technology,

Chemnitz 09111, Germany

*J. Heat Transfer*. Aug 2017, 139(8): 082002 (13 pages)

**Published Online:**April 11, 2017

Article history

Received:

October 6, 2016

Revised:

February 14, 2017

Citation

Moftakhari, A., Aghanajafi, C., and Ghazvin, A. M. C. (April 11, 2017). "A Novel Numerical Approach for Convective and Radiative Heat Transfer Analysis of Fluid Flow Problems Within Triangular Cavities Using Natural Element Method." ASME. *J. Heat Transfer*. August 2017; 139(8): 082002. https://doi.org/10.1115/1.4036057

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