Showing papers in "Journal of Heat Transfer-transactions of The Asme in 1967"

The Solution of Heat Conduction Problems by Probability Methods

Abstract: Fundamental concepts pertaining to the solution of heat conduction problems by probability methods (Monte Carlo methods) are devised and techniques of application are developed. It is demonstrated that probability methods can be applied over the entire range of heat conduction problems. These include both steady-state and transient situations in bodies of arbitary shape with arbitary boundary conditions (including derivative conditions (e. g., combined convection and radiation), and moving boundaries (change of phase) are also accommodated by probability methods. All of these various situations are treated in the paper. Numerous computational experiments are carried out, many of which provide results for physical problems not heretofore solved in the literature. A new concept, the floating random walk, is introduced, and this provides the flexibility needed to accommodate such a wide range of problems.

Laminar Forced Convection in the Entrance Region Between Parallel Flat Plates

Abstract: Interferometer measurements of laminar forced convection to air in the entrance region between parallel flat plates are reported. Experimental local and mean Nusselt numbers are given for Reynolds numbers from 300 to 1500 and length-to-plate spacing ratios from 2 to 8. The experimental data are compared with corresponding values from theoretical analyses of simultaneously developing momentum and thermal boundary layers for the two cases considered: Air heated by both plates with the same uniform temperature, and air heated by one plate with a uniform temperature and other insulated. Equations are also given which summarize the theoretical results.

Radiative Heat Transfer Between Parallel Plates Separated by a Nonisothermal Medium With Anisotropic Scattering

Abstract: : The problem of radiative heat transfer is considered for the case of partially reflecting parallel plates separated by an emitting, nonisothermal medium which scatters radiant energy in an anisotropic fashion. Both linear and parabolic temperature profiles are considered. The solutions are obtained by representing the integral term of the transport equation by a quadrature. The resulting set of non-homogeneous differential equations are solved by a method utilizing idempotents. Application of this method to problems involving spherical enclosures is discussed. (Author)

Nonsimilar Boundary-Layer Heat Transfer of a Rotating Cone in Forced Flow

Abstract: : The problem of fluid flow and heat transfer characteristics of a cone rotating in a forced flow field is investigated. The flow problem in general involves two parameters, m and s. For heat transfer, one additional parameter, Pr, must be considered. For the special case of a rotating disk in forced flow, the partial differential equations are reduced to a set of ordinary differential equations with two parameters s and Pr. The non-similar boundary layer flow equations are solved for two half cone angles (alpha = 90 degrees and 53.5 degrees) for various Prandtl numbers with s ranging from 0 to about 20. It was found that for s = 10, the first order approximation from the power expansion scheme may not be sufficient. (Author)