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Article
Finite Volume and Finite Difference Numerical Methods for Conduction Heat Transfer via an Aluminum Rod

Author: Amir Hussein Ali
Journal: Journal of Basrah Researches (Sciences) مجلة ابحاث البصرة ( العلميات) ISSN: 18172695 Year: 2018 Volume: 44 Issue: 1A Pages: 1-10
Publisher: Basrah University جامعة البصرة

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Abstract

The aim of this study is to investigate a conduction heat transfer phenomenon in Aluminum metal rod. Finite volume method has been used as a numerical technique to simulate the study in addition to finite difference method for more details. Both methods were compared to the exact solution which has been performed and utilized as a base line for the physical case in current study. Due to its widespread applications, Aluminum material has been used as a viable metal for the solid rod in this study. The Aluminum rod length and diameter were (10 cm) and (1 cm) respectively. The Aluminum rod has been set into a computational domain of air for the convection case to be taken into account. The computational domain of the air length and diameter were (12 cm) and (2 cm) respectively. The left side of the Aluminum rod has been set at temperature of (700 K) and the right side at (300 K). The surrounding computational domain of the air has been set at (300 K). Energy equation has been solved numerically to visualize and calculate the temperature distribution along the Aluminum rod. The results showed that there was good approach between finite volume and finite difference methods in one-dimensional temperature distribution. Hence, in addition to the fact that finite volume is crucial technique in all directions and used in more complicated applications, finite difference is still important method in one dimensional case as well. Moreover the results showed that volumetric heat source raises the temperature of the material during heat transfer operation. Also, the three methods, finite volume, finite difference and exact solution have showed good approach


Article
NUMERICAL INVESTIGATION OF FLUID FLOW IN CAPILLARY TUBES

Author: Amir Hussein Ali
Journal: Journal of Basrah Researches (Sciences) مجلة ابحاث البصرة ( العلميات) ISSN: 18172695 Year: 2019 Volume: 45 Issue: 2A Pages: 33-43
Publisher: Basrah University جامعة البصرة

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Abstract

This study was interested with fluid flow through narrow tubes. Finite volume method has been used as a numerical technique by the aid of computer to achieve the study. Cylindrical narrow tubes, represented as case A and case B have been used. Case A was a tube of radius (2 cm) and length (20 cm) while case B which has been used to investigate the effect of narrow tube on fluid flow was a tube of radius (2 mm) and length (20 mm). The initial conditions and boundary conditions for both cases were similar. Due to its widespread applications, air has been used as fluid material for the both cases. No slip condition at the wall has been used and viscous fluid flow was considered for both cases. Different parameters have been investigated for the two cases and have been compared to each other such as velocity magnitude, dynamic pressure, static pressure and wall shear stress. Case A has Reynold's number (Re) higher than case B. The velocity profiles of fully developed flow were compared with the parabolic velocity profile. Clear difference between the two cases A and B has been shown because of the narrowness of case B. The maximum velocity was at the tube centerline and zero at the tubes wall because of no slip condition was applied. Due to the differences in the diameters of the two cases, the results showed apparent differences between the two cases for velocity magnitude, dynamic pressure, static pressure and wall shear stress as well. The results of this study could be important for applications which include air flow in narrow tubes.

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