Agriculture 4. Technologies of storage and processing of agricultural products

 

Assoc. Prof. V.Yu. Ovsyannikov, graduate student Yu.S. Kraminova,

student T.S. Kirichenko, student A.S. Moskalenko

Voronezh State University of Engineering Technologies, Russia

 

Methods of comparison and evaluation of refrigeration plants

concentration by freezing moisture

 

 

At present the trends of development of the food industry of Russia and developed European countries are directed toward the creation of food products of new generation, is most which effectively satisfy the food ration of the wide sector of the users of the production of food industry [1].

In this case special accent is removed precisely to the methods of the refrigerators working of the food raw material of the plant and animal origin, which to the maximum degree ensure the safety of the initial biological composition of product, simultaneously braking undesirable biochemical processes and reactions of the disintegration of substances.

Today one of the most promising methods of the concentration of liquid food media, that ensures the maximum biological safety of the parent substances of raw material, is the method of refrigerators concentration the freezing out method of moisture, based on the transformation into ice of the part of the liquid component of the solution with the concentration of the dissolved substances in the liquid phase.

Technical and economic comparison of the separate installations of refrigerators concentration must be accomplished on the basis reduced annual costs. The comparison of the reduced annual costs for different installations should be carried out with the identical value of thermal load on the crystallizer – concentrator and the equal parameters of the concentrated medium (expenditure, inlet temperature and output).

Besides technical and economic comparison in a number of cases is of practical interest the comparison of the separate crystallizer of different types according to the design indices, such as weight, volume on the overall dimensions, the cost, and also on thermal efficiency [2, 3].

For the estimation of thermal efficiency of the crystallizer – of concentrates by the freezing out method of moisture is used the energy coefficient, which is the ratio of a quantity of selected heat to the power, spent on the pumping over of the concentrated medium

,                                                          (1)

where Q a quantity of otvodimoy heat; τ – the duration of concentration;  - summary expenditures of energy for the pumping over of the concentrated medium.

The conditions for comparison according to the design indices will be following:

à) a quantity of transferred heat for all crystallizer – of concentrates by the freezing out method of moisture is equal: Q=idem;

á) summary expenditures of energy for overcoming of resistance with the displacement of the concentrated medium =idem;

â) thermal efficiency of the crystallizer – of concentrator by the method of the refrigeratory concentration E=idem;

ã) a quantity of concentrated medium and a quantity of refrigerant are equal Gñ=idem; Gõ= idem;

ä) the identical temperature working conditions: the mean temperature of the concentrated medium tñ= idem; the refrigerant tõ= idem; an average difference in temperatures Δt= idem.

After writing down the known equation of heat transfer and after carrying heat and the expendable power to the unit of surface from the equation (1), we will obtain

,                                                       (2)

where NF - expenditure of energy for the pumping over of the concentrated medium, in reference to one square meter of the calculated surface of the apparatus.

Taking into account resistance lengthwise, local resistances at the entrance and the output from flow area of the internal space of crystallizer the energy consumption can be calculated by the formula:

,                  (3)

where V – the internal volume of crystallizer;  - summary hydraulic resistance in the apparatus; F – the surface area of the heat exchange of crystallizer; η – Efficiency of apparatus; ω – the rate of flow of the concentrated medium in the crystallizer; d – the inside diameter of crystallizer; l – the length of the working zone of crystallizer.

Taking into account, that

,                    (4)

we obtain

,                          (5)

here ξ – the coefficient of the hydraulic resistance of medium lengthwise of crystallizer; - the summary coefficient of local resistances; g – the acceleration of gravity.

The comparison of the dimensional, weight and cost indices of different types of crystallizer for the refrigerators concentration of the liquid media of food and biological origin, is as noted earlier, it is necessary to achieve with the identical values of energy coefficients. Examining the first and second conditions for comparison for two apparatuses, designated by indices 0 and 1, we obtain with Q0=Q1, NF0=NF1

                                                     (6)

;  E0=E1.                                        (7)

The obtained expression makes it possible to find the combined values of the power of all compared crystallizer.

The ratio between areas of top and bottom wings of the compared crystallizer with the conditions accepted they will be written down as follows

.                                                 (8)

Relationship of the working volumes of the crystallizer

,                                          (9)

here b – the coefficient of compactness, which characterizes the calculated transfer surface, concluded in the unit of the cubic meter of the space.

Relationship of the weights of the crystallizer

,                                        (10)

here g – the mass of the unit of useful heat exchange surface.

 

Relationship of the costs of the heat exchange surfaces of the crystallizer

 

,                                                   (11)

ãäå S – the cost of the unit of the mass of the heat exchange surface.

 

Literature

 

1. Ovsyannikov V.Yu. Study of the process of freezing moisture from the extracts of the endocrine and special raw material. Diss. cand. tech. the sciences. Voronezh. State. tech. Acad., 2003. 184 p.

2. Antipov S.T., Ovsyannikov V.Yu., Kondratyev Ya.I. Kinetics of the process of concentration by freezing the cherry juice. Herald of the Voronezh state university of the engineering technologies. 2014, ¹ 4 pp. 44-48.

3. Antipov S.T., Dobromirov V.E., Ovsyannikov V.Yu. Heat- and mass exchange with the concentration of liquid media by freezing. Voronezh. State. tech. Acad. Voronezh, 2004. 208 p.