Some Modification of Schumann's Equation and Its Application to the Cooling of Farm Products

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  • Murata Satoshi
    Laboratory of Agricultural Process Engineering, Faculty of Agriculture, Kyushu University

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  • Schumannの式の展開とその農産物冷却に関する2・3の応用
  • Schumann ノ シキ ノ テンカイ ト ソノ ノウサンブツ レイキャク ニ カンスル 2 3 ノ オウヨウ

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Abstract

1） The transient heat transfer in precooling system with ice bunker and packed bed of fruits and vegetables is expressed Schumann's equations of heat transfer in packed bed with a particular boundary condition. The boundary condition is given as a constant ratio of the inlet gas temperature to the outlet gas temperature. The condition differs from Schumann's and Furnas', and is derived from the cooling characteristics of the column of crushed ice. The solution of this problem is expressed by a series in terms of coefficient of the exponent of the ratio with the integral which has the same form of Schumann's solution of integral. The series is rapidly convergent, so that the solution is easily computed using Schumann-Furnas chart. 2） The equation of steady state heat transfer of packed bed of rough rice is derived from Schumann's equation by adding heat generation term of respiration and removing time dependent term. The analytical solution is given and the numerical chart of the solution is made by measuring the heat transfer coefficient of the rough rice. 3） For calculating the cooling characteristics of rough rice in vertical duct, the equation of transient heat transfer is derived by the Schumann's assumption. The solution is given and transformed to the Furnas' solution by introducing two new variables.

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