ISSN:
0001-1541
Keywords:
Chemistry
;
Chemical Engineering
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
,
Process Engineering, Biotechnology, Nutrition Technology
Notes:
A method is presented for solving the basic energy expression for the temperature distribution for turbulent heat transfer in a circular conduit with a digital computer. The method assumes a knowledge of the velocity distribution, the eddy conductivity term as a function of the radial position, and a constant wall temperature. For illustrative purposes only a dimensionless expression is derived from Reichardt's relationship which gives the eddy conductivity term as a function of radial position with Reynolds and Prandtl numbers as parameters.Incorporated in the computer program is Richardson's three-point extrapolation formula which permits the determination of a more accurate eigenvalue from three previously computed values which were obtained by using three different values of the reduced radial increment. Agreement with the Crank-Nicholson method is quite good, although the method with eigenvalues is considered to be superior. Eigenvalues determined from the analytical solution of the energy expression for the laminar flow case and those computed by the numerical method are in excellent agreement. This is indicative of the accuracy and reliability of the proposed numerical method.
Additional Material:
5 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/aic.690100226
