Steady state heat transfer within porous medium with temperature dependent heat generation

Abstract A theoretical analysis of internally energised porous reactor is presented. Constant and temperature-dependent rate of heat generation are assumed. The fluid passed through the heated porous element medium changes phase from liquid to vapour and the vapour is further superheated. It is assumed that the regions of different phases are “separated” by two phase change “interfaces”, the first of which denotes the average distance where evaporation starts and the second denotes the average distance where complete evaporation is reached. The characteristics of the various parameters affecting the performance of a hollow cylindrical porous element are evaluated and presented for a representative range of the viscous flow regime where the inertia forces are neglected. The concept of generating temperature-dependent rate of heat within the porous element is aimed at gaining stability in operation and protecting the solid from burnout.

[1]  S. Schweitzer,et al.  Heat transfer in porous media with phase change , 1972 .

[2]  L. L. Vasiliev,et al.  Thermal conductivity of porous systems , 1968 .

[3]  Peter C. Wayner,et al.  Evaporation from a porous flow control element on a porous heat source , 1973 .

[4]  J. P. Chiou,et al.  Heat Transfer and Flow Characteristics of Porous Matrices With Radiation as a Heat Source , 1966 .

[5]  M. El-Wakil,et al.  HEAT TRANSFER AND FLOW CHARACTERISTICS IN CONDUCTIVE POROUS MEDIA WITH ENERGY GENERATION. , 1970 .

[6]  S. Weinbaum,et al.  Heat Transfer in Sweat‐Cooled Porous Metals , 1949 .

[7]  S. Shtrikman,et al.  Note on the effective constants of composite materials , 1961 .

[8]  S. Cheng,et al.  A technique for predicting the thermal conductivity of suspensions, emulsions and porous materials , 1970 .

[9]  John R. Schuster,et al.  Application of an Improved Transpiration Cooling Concept to Space Shuttle Type Vehicles , 1972 .

[10]  D. W. Lyons,et al.  Drying of a porous medium with internal heat generation , 1972 .

[11]  D. Kunii,et al.  Heat transfer characteristics of porous rocks , 1960 .

[12]  L. A. Richards Physics of Flow Through Porous Media , 1958 .

[13]  Adrian E. Scheidegger,et al.  The physics of flow through porous media , 1957 .

[14]  K. Daizo,et al.  Particle-to-fluid heat and mass transfer in packed beds of fine particles , 1967 .

[15]  W. Woodside,et al.  Thermal Conductivity of Porous Media. I. Unconsolidated Sands , 1961 .