Transport processes and large deformation during baking of bread

A model of multiphase transport in a porous medium coupled with large deformation of the porous matrix is developed and applied to the process of bread baking. Transport-governing equations are based on energy conservation and mass conservation of water, water vapor, and CO2 produced during baking. Deformation is caused by the pressure gradient from internal evaporation and CO2 generation. Temperature, moisture, and pressure changes in turn are affected by deformation. Bread is assumed to be viscoelastic, mechanical properties of which are functions of temperature. Geometric nonlinear effects are considered in the mechanics problem. Results are compared with those from baking experiments and literature data. Vapor pressure inside the matrix is likely to be lower than the equilibrium vapor pressure. Convective heat transfer is small compared to heat conduction and evaporation–condensation of water vapor promotes heat transfer to the inside. Rate of CO2 generation, mechanical properties of dough, and gravity together determine the final shape of the bread. © 2005 American Institute of Chemical Engineers AIChE J, 2005

[1]  R. Christensen Theory of viscoelasticity : an introduction , 1971 .

[2]  S. Whitaker Simultaneous Heat, Mass, and Momentum Transfer in Porous Media: A Theory of Drying , 1977 .

[3]  Harold McGee,et al.  On Food and Cooking: The Science and Lore of the Kitchen , 1984 .

[4]  B. A. Olmstead,et al.  Heat and mass transfer in wood during drying , 1985 .

[5]  Ferhan Kayihan,et al.  A mathematical model of drying for hygroscopic porous media , 1986 .

[6]  P. Perré,et al.  Detailed study of a model of heat and mass transfer during convective drying of porous media , 1988 .

[7]  C. Rask Thermal properties of dough and bakery products: A review of published data , 1989 .

[8]  C. Tong,et al.  Effective Moisture Diffusivity in Porous Materials as a Function of Temperature and Moisture Content , 1990 .

[9]  J. Bear,et al.  Introduction to Modeling of Transport Phenomena in Porous Media , 1990 .

[10]  I. Lind,et al.  Sorption isotherms of mixed minced meat, dough, and bread crust , 1991 .

[11]  Sauro Pierucci,et al.  Study of the bread baking process — II. Mathematical modelling , 1994 .

[12]  MATHEMATICAL-MODELING OF TRANSIENT HEAT AND MASS-TRANSPORT IN A BAKING BISCUIT , 1994 .

[13]  Yoshinori Itaya,et al.  Three-dimensional heat and moisture transfer with viscoelastic strain-stress formation in composite food during drying , 1995 .

[14]  C. Peri,et al.  Determination of the thermal diffusivity of bread as a function of porosity , 1995 .

[15]  D. H. Ramkumar,et al.  RELAXATION BEHAVIOR AND THE APPLICATION OF INTEGRAL CONSTITUTIVE EQUATIONS TO WHEAT DOUGH , 1996 .

[16]  M. E. Castell-Perez,et al.  Textural and viscoelastic changes of canned biscuit dough during microwave and conventional baking , 1997 .

[17]  R. Winston,et al.  Six Thousand Years of Bread: Its Holy and Unholy History , 1997 .

[18]  C. Rielly,et al.  Proving of bread dough: Modelling the growth of individual bubbles. , 1998 .

[19]  G. Giovanelli,et al.  Design and setting up of a water vapour pressure capacitance manometer for measurement of water activity , 1998 .

[20]  Harianto Rahardjo,et al.  COUPLED MODEL FOR HEAT, MOISTURE, AIR FLOW, AND DEFORMATION PROBLEMS IN UNSATURATED SOILS , 1998 .

[21]  K. Allaf,et al.  Study of mixing in connection with the rheological properties of biscuit dough and dimensional characteristics of biscuits , 1998 .

[22]  C. A. Ward,et al.  Examination of the statistical rate theory expression for liquid evaporation rates , 1999 .

[23]  John R. Mitchell,et al.  A model for the oven rise of dough during baking , 1999 .

[24]  K. Torrance,et al.  Moisture transport in intensive microwave heating of biomaterials: a multiphase porous media model , 1999 .

[25]  Hao Feng,et al.  Heat and mass transport in microwave drying of porous materials in a spouted bed , 2001 .

[26]  Julien Andrieu,et al.  Study of sponge cake batter baking process. Part I: Experimental data , 2002 .

[27]  R. Tanner,et al.  The rheology of bread dough made from four commercial flours , 2002 .

[28]  S. Sahin,et al.  Bread baking in halogen lamp-microwave combination oven , 2004 .