Solution for thermal development of flow in an annulus with periodic boundary conditions
Abstract
The paper presents a solution describing the thermal development of flow in an annulus with periodic boundary conditions. These conditions specify the heat flux at the inner surface and temperature at the outer surface. At entrance, the fluid is assumed to have fully developed velocity profile and uniform temperature. The spatial temperature is expressed as a sum of a steady part and a periodic part. The method of separation of variable is applied to the energy equation leading to appropriate series solutions. The eigenvalues appearing in these solutions are determined by a numerical procedure which incorporates the use of Rutishauser matrix transformations. A typical set of numerical results demonstrates the development of the steady part and the amplitude of the periodic part of spatial temperature and Nusselt
 Publication:

Alternative Energy Sources, Volume 9
 Pub Date:
 1978
 Bibcode:
 1978aes.....9.3989E
 Keywords:

 Annular Flow;
 Boundary Conditions;
 Heat Transfer;
 Eigenvalues;
 Graphs (Charts);
 Heat Flux;
 Nuclear Reactors;
 Nusselt Number;
 Velocity Distribution;
 Wall Temperature;
 Fluid Mechanics and Heat Transfer