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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 5
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Original Articles

APPLICATION OF A FINITE VOLUME BASED METHOD OF LINES TO TURBULENT FORCED CONVECTION IN CIRCULAR TUBES

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Pages 503-517 | Received 09 Aug 1995, Accepted 10 Apr 1996, Published online: 23 Mar 2007
 

Abstract

A stmianafytic analysis of in-tube turbulent forced convection is performed whose special computational feature is the combination of the method of lines, the finite volume technique, and a radial coordinate transformation. First, a numerical solution of the momentum equation was obtained by a simple Runge-Kutta integration scheme. Second, the energy equation was reformulated into a system of ordinary differential equations of first order. Each equation in the system controls the temperature along a line in a mesh consisting of concentric lines. Reliable analytic solutions for the temperature distribution of fluids in the region of thermal development can be determined for combinations of Reynolds and Prandil numbers. Predicted results for the distributions of mean bulk temperature and local Nusselt numbers for air, water, and oils compare satisfactorily with the available experimental data.

Notes

Address correspondence to Dr. Antonio Campo, Department of Nuclear Engineering, Idaho State University, Campus Box 8060, Pocatello, ID 83209-8060, USA.

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