Agriculture/ 2 . Agriculture mechanization

Kurmanov A.K.  Doctor of Technical Sciences, professor

Isintayev T.I. Ph.D, associate professor

Hasenov N. S., undergraduate

Akhmet Baitursynov Kostanay State University, Kazakhstan

RESEARCH OF PROCESSES IN THE CAMERA OF WORKING BODY OF masseur AT UDDER MASSAGE TAKING INTO ACCOUNT LEAKAGE OF VARIABLE PRESSURE

Work of any type of a masseur is defined by nature of influence of his worker of body (WB) on an udder of an animal. We will consider the pneumomassage device consisting of the corrugated truncated bell having the working camera with a variable volume ∆ by Vê, limited to walls and an udder, a hose Lø length – and diameter of dø for giving of variable pressure [1]. The working body of a masseur represents the resonator with that feature that its surfaces possesses elasticity and leakage of pressure owing to incomplete sealing when joining bell with a body of an animal is possible.
         This extremely undesirable phenomenon, bringing to that it is impossible to provide the set parameters of process of pneumomassage.

 We will consider process of transfer of pressure in the WB chamber taking into account leak provided that parameters of connecting hoses and transitions provide full transfer of pressure to absolutely pressurized WB chamber (fig. 1).

If leak happens through an opening Square S0 and diameter of d0, the WB chamber with such opening is the acoustic resonator with own frequency [2].

                                                 ƒð1=                                       (1)

         Therefore, it would be necessary to write the look equation for WB

                                             m= Sø ∆P - Sø δ ,                       (2)

where x – a deviation of the center of a column of air from position of balance, m;

∆P – pressure difference from the external pressure (P1) up to the pressure in the WB (P) chamber, Pa.

However, at d0 ≥ 10 -3 ì and Výôô ≈ 10 -3 ì3  we have ƒð1 ≥ 50 Hz, and at very small openings (d0 ≤10 -3 ì) resistance of an opening is so great that leak can be neglected. Therefore during the work in the range of 0,5 … 5 Hz, representing practical interest [3], the inertial member of the equation of a look (2) it is possible to neglect and the equation for such resonator will register in a look

                                                     ,                            (3)

where, in the left part – change of pressure in the WB chamber owing to leak existence with an opening Square S0, and in right – a difference between pressure which is completely transferred from a source to the WB chamber in the absence of leak, and pressure in the WB chamber which is a difference between the actual pressure in WB and atmospheric.

Therefore for P it is possible to write down

                                                  Ð=δ0                                       (4)

         where  - the speed of the expiration of air through a leak opening (or oscillatory speed),  = u.

After differentiation on t from expression (3) and (4) we receive system of the equations
                                                              (5)

Analytical dependence on the generalized parameter θ, equal

                                                     θ =                                        (6)

it is possible to receive approximately for average U and P values in the equations (5), having reduced it to an algebraic look

                                                                (7)

The decision of system of the equation (7) for U has an appearance

                                             (8)

For two limit cases we have:

a) leak is small, that is

                                                                                            (9)

The decision of system (7) in the first approach has an appearance:

                                                                           (10)

b) leak is great, that is

                                                                                                    (11)

The decision of system (7) in the first approach has an appearance:

                                (12)

         Thus, at small values of the generalized parameter θ pressure in the WB chamber depends on Ð1,0 almost linearly and linearly decreases with growth θ. Thus

                                                                                                       (13)

that is pressure in the WB chamber differs from pressure in it in the absence of leak a little.

 

Results of the decision specifies that from the WB chamber equally influence leakage of pressure reduction of frequency, the effective volume of the WB chamber and increase in the area of an opening of leak. The last demands specification as with change of a form and the sizes of an opening of leak also the friction coefficient δ0 at the same time changes. For dependence specification δ0 from S0 we are leak openings, it is possible to use some data obtained for stationary streams [4] which needs to be added with own researches.

The established dependence on the frequency of ƒ specifies that if in the WB chamber to bring the variable pressure at which range there are highest harmonicas that practically everywhere takes place, as a result of leak they will be in even bigger degree presented in a range, owing to bigger fall of the main frequency.

 

Literature:

1 . Atykhanov A.K, Isintayev T.I. Hasenov N. S. The conclusion about issue of the innovative patent for the invention. The demand No. 2010/0235.1 from 25.02.2010ã.

2 . Strett Dzh. The sound theory – the 2nd edition. - M; 1955.

3 . Kartashov L.P. Solovyov S. A. Increase of reliability of Chelovek-Mashina-Sreda system. – Yekaterinburg; 2000.

4 . Idelchik I.E. Gidrodinamicheskiye resistance. – M; 1994.