Heat and mass transfer during cooling and storage of agricultural products

Abstract A two-dimensional two-phase model of temperature and moisture distribution during cooling and storage of agricultural products in a cylindrical container is developed. In the model equations the influence of air flow by natural convection is incorporated. The agreement of model calculations with the measured temperature course during self-heating of potatoes or model material is shown. Model calculations indicate the advantage of high air velocities during precooling.

[1]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[2]  H. H. Rachford,et al.  On the numerical solution of heat conduction problems in two and three space variables , 1956 .

[3]  A. V. Luikov,et al.  Analytical Heat Diffusion Theory , 1969 .

[4]  M. L. Lawson,et al.  Theory on Thermal Instability of Binary Gas Mixtures in Porous Media , 1976 .

[5]  Bertil Hylmö,et al.  The Heat Balance in a Potato Pile , 1975 .

[6]  D. Vortmeyer,et al.  Measured and calculated migrating speeds of reaction zones in a fixed bed reactor, a quantitative comparison , 1978 .

[7]  D. Vortmeyer,et al.  Equivalence of one- and two-phase models for heat transfer processes in packed beds: one dimensional theory , 1974 .

[8]  G. Shove,et al.  Moisture Loss from Kennebec Potato Tubers During Initial Storage Period , 1976 .

[9]  A. Dixon.  Heat transfer in packed beds of low tube/particle diameter ratio , 1978 .

[10]  Richard J Goldstein,et al.  Thermal convection in a horizontal fluid layer with uniform volumetric energy sources , 1972, Journal of Fluid Mechanics.

[11]  P. Schippers.  The rate of respiration of potato tubers during storage. 2. Results of experiments in 1972 and 19731,2 , 1977, Potato Research.

[12]  E. R. Lapwood.  Convection of a fluid in a porous medium , 1948, Mathematical Proceedings of the Cambridge Philosophical Society.

[13]  K. Aziz,et al.  Transient three-dimensional natural convection in confined porous media , 1972 .

[14]  Bruce A. Finlayson,et al.  Heat transfer in packed beds—a reevaluation , 1977 .

[15]  N. Wakao,et al.  EFFECTIVE THERMAL CONDUCTIVITY OF PACKED BEDS , 1969 .

[16]  P. H. Holst,et al.  A theoretical and experimental study of natural convection in a confined porous medium , 1972 .

[17]  R. D. Gasser,et al.  Onset of Convection in a Porous Medium With Internal Heat Generation , 1976 .

[18]  Gene C. Shove,et al.  Near Equilibrium Simulation of Shelled Corn Drying , 1971 .

[19]  M. Combarnous,et al.  Natural convection in a sloping porous layer , 1973, Journal of Fluid Mechanics.

[20]  R. H. Nilson,et al.  Natural Convection in Porous Media with Heat Generation , 1977 .

[21]  E. Palm,et al.  On steady convection in a porous medium , 1972, Journal of Fluid Mechanics.

[22]  N. Wakao,et al.  Effect of fluid dispersion coefficients on particle-to-fluid heat transfer coefficients in packed beds , 1978 .

[23]  V. Hlavácek,et al.  An analysis of a nonisothermal one-component sorption in a single adsorbent particle , 1978 .

[24]  A. S. Berman,et al.  Convective heat transfer in a liquid saturated porous layer , 1976 .

[25]  H.J.M. Messer,et al.  Resistance of root and bulb vegetables to airflow , 1976 .

[26]  D. Kassoy,et al.  Onset of natural convection in a box of water-saturated porous media with large temperature variation , 1977 .

[27]  L. Berg,et al.  Effect of Composition on Thermal Conductivity of Fresh and Frozen Foods , 1975 .

[28]  Robert J. Kee,et al.  Natural convection of a heat-generating fluid within closed vertical cylinders and spheres , 1975 .

[29]  M. O'Sullivan,et al.  Convection in a Porous Medium Heated from Below: The Effect of Temperature Dependent Viscosity and Thermal Expansion Coefficient , 1978 .

[30]  James L. Beck,et al.  Convection in a box of porous material saturated with fluid , 1972 .

[31]  R. Faw,et al.  Convective heat transfer in an internally heated horizontal fluid layer with unequal boundary temperatures , 1979 .

[32]  W. G. Burton,et al.  The basic principles of potato storage as practised in great britain , 1963, European potato journal.

[33]  S. Ergun.  Fluid flow through packed columns , 1952 .

[34]  D. R. Jones.  Convective effects in enclosed, exothermically reacting gases , 1974 .

[35]  George J. Hirasaki,et al.  A general formulation of the boundary conditions on the vector potential in three-dimensional hydrodynamics , 1968 .

[36]  G. C. Misener,et al.  Simulated Cooling of Potatoes , 1976 .

[37]  CRITERION FOR THE ONSET OF CONVECTIVE FLOW IN A FLUID IN A POROUS MEDIUM , 1967 .

[38]  A. Eucken,et al.  Allgemeine Gesetzmäßigkeiten für das Wärmeleitvermögen verschiedener Stoffarten und Aggregatzustände , 1940 .

[39]  W. G. Burton,et al.  The storage of ware potatoes in permanent buildings II. The temperature of unventilated stacks of potatoes , 1955, The Journal of Agricultural Science.

[40]  W. Krantz,et al.  A study of transpiration from porous flat plates simulating plant leaves , 1979 .

[41]  T. W. Weber,et al.  Nonisothermal adsorption in fixed beds , 1967 .

[42]  Gilbert F. Froment,et al.  Heat transfer in packed beds , 1972 .

[43]  F. Cheung.  Natural convection in a volumetrically heated fluid layer at high rayleigh numbers , 1977 .

[44]  I. F. Macdonald,et al.  Flow through Porous Media-the Ergun Equation Revisited , 1979 .

[45]  H. H. Rachford,et al.  The Numerical Solution of Parabolic and Elliptic Differential Equations , 1955 .

[46]  V. Hlavácek.  Aspects in Design of Packed Catalytic Reactors , 1970 .

[47]  D. Kunii,et al.  Studies on effective thermal conductivities in packed beds , 1957 .

[48]  I. G. Tchumak,et al.  Heat and moisture exchange in fruit storage rooms. , 1970 .

[49]  D. B. Brooker,et al.  Mathematical Model of the Psychrometric Chart , 1967 .

[50]  A. L. Rippen,et al.  Methods for Determining Thermal Conductivity in Foods , 1971 .

[51]  F. W. Bakker-Arkema,et al.  Static Pressure-Airflow Relationships in Packed Beds of Granular Biological Materials Such as Cherry Pits , 1969 .

[52]  M. Tveitereid.  Thermal convection in a horizontal fluid layer with internal heat sources , 1978 .

[53]  C. L. D. Ligny.  Coupling between diffusion and convection in radial dispersion of matter by fluid flow through packed beds , 1970 .

[54]  Francis A Kulacki,et al.  Steady and transient thermal convection in a fluid layer with uniform volumetric energy sources , 1977, Journal of Fluid Mechanics.

[55]  D. Kassoy,et al.  Variable viscosity effects on the onset of convection in porous media , 1975 .

[56]  N. Wakao,et al.  EFFECT OF FLUID DISPERSION COEFFICIENTS ON PARTICLE-TO-FLUID MASS TRANSFER COEFFICIENTS IN PACKED BEDS. CORRELATION OF SHERWOOD NUMBERS , 1978 .

[57]  F. H. Fockens,et al.  Biophysical properties of horticultural products as related to loss of moisture during cooling down , 1972 .

[58]  G. F. Froment,et al.  Fixed Bed Catalytic Reactors. Technological and Fundamental Design Aspects , 1974 .

[59]  A. R. Balakrishnan,et al.  Heat Transfer in Gas-Solid Packed Bed Systems. 1. A Critical Review , 1979 .

[60]  P. Schippers.  The rate of respiration of potato tubers during storage 1. Review of literature , 1977, Potato Research.

[61]  P. Crosson.  The world food situation , 1977 .

[62]  J. Straus,et al.  Large amplitude convection in porous media , 1974, Journal of Fluid Mechanics.

[63]  Stephen Whitaker,et al.  ADVANCES IN THEORY OF FLUID MOTION IN POROUS MEDIA , 1969 .

[64]  D. Vortmeyer,et al.  Comparison of One- and Two-Phase Model Predictions for Adiabatic Packed Bed Chemical Reactors , 1975 .

[65]  F. Kulacki,et al.  Hydrodynamic instability in a porous layer saturated with a heat generating fluid , 1975 .

[66]  M. Jahn,et al.  FREE CONVECTION HEAT TRANSFER WITH INTERNAL HEAT SOURCES CALCULATIONS AND MEASUREMENTS , 1974 .

[67]  G. H. Foster,et al.  Mathematical Simulation of Corn Drying — A New Model , 1968 .

[68]  J. W. Elder.  Steady free convection in a porous medium heated from below , 1967, Journal of Fluid Mechanics.

[69]  M. Tveitereid.  Thermal convection in a horizontal porous layer with internal heat sources , 1977 .

[70]  M. L. Lawson,et al.  Thermal Stability of Binary Gas Mixtures in a Porous Medium , 1975 .

[71]  Robert J. Ribando,et al.  Natural Convection in a Porous Medium: Effects of Confinement, Variable Permeability, and Thermal Boundary Conditions , 1975 .

[72]  J. Weber.  Thermal convection in a tilted porous layer , 1975 .

[73]  H. J. Matthies,et al.  New Data for Calculating the Resistance to Air Flow of Stored Granular Materials , 1974 .

[74]  G. Froment,et al.  Velocity, temperature and conversion profiles in fixed bed catalytic reactors , 1977 .

[75]  H. Brinkman.  A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles , 1949 .

[76]  C. Wikberg,et al.  The Two Point Temperature Measurement—A Method to Determine the Rate of Respiration in a Potato Pile , 1978 .

[77]  S. Fukusako,et al.  Heat transfer in a confined rectangular cavity packed with porous media , 1978 .

[78]  T.E.W. Schumann,et al.  Heat transfer: A liquid flowing through a porous prism , 1929 .

[79]  K. Aziz,et al.  An experimental study of natural convection in inclined porous media , 1974 .

[80]  George M. Homsy,et al.  A Note on Convective Instabilities in Boussinesq Fluids and Porous Media , 1977 .

[81]  Khalid Aziz,et al.  Numerical Solution of the Three-Dimensional Equations of Motion for Laminar Natural Convection , 1967 .