Russian Journal of Applied Chemistry, 2008, Vol. 81, No. 12, pp. 2207−2210.
Pleiades Publishing, Ltd., 2008.
Original Russian Text
Z.D. Reipnazarova, A.A. Artikov, 2008, published in Khimicheskaya Promyshlennost’, 2008, Vol. 85, No. 6, pp. 310−313.
MODELING AND CALCULATION
OF TECHNOLOGICAL PROCESSES
Mathematical Simulation of the Evaporation in Operation Area
of a Bubble Evaporator
Z. D. Reipnazarova and A. A. Artikov
Tashkent Chemical Engineering Institute, Tashkent, Uzbekistan
Received August 15, 2008
Simulation of evaporation in operation area of an evaporator is considered. We obtained a formalized
model of this process and optimum conditions of an engineering system on the basis on the analysis.
We consider the operation area of the evaporator as
a large system that ﬁ rst is divided into two subsystems:
a liquid phase, and a gas phase. Besides we assume that
a hydrodynamic structure of the ﬂ uid ﬂ ows is as ideal
mixture and then the liquid phase is a continuum where
evaporation occurs (Fig. 1).
Water vapor removes from the liquid phase and
transfer in a vapor phase. The gas phase is of discrete
form, i.e. the gas leaving a bubbler or an exhaust into
upper section of liquid, and dividing into small bubbles
go up one by one.
Mainly in this case the gas phase is described by the
laws of displacement of an ideal gas . Generalizing
a mathematical model the liquid phase can be simulated
by a differential equation of the ﬁ rst order, and gas phase
by a partial differential equation.
In this case for the liquid phase we use the heat-balance
equation at non-steady state. Then a heat change of some
elementary ith area of the liquid phase depends on a heat
leaving this area of the liquid, and besides a heat of the gas
Evaporation is a process in chemical engineering
when concentration of process liquor increases due to
evaporation of a part of a solvent.
There are surface evaporators where the heat transfers
from a heat-carrier to the solution through a wall, and
contact evaporators where the heat-carrier simultaneously
touches the solution .
The contact evaporators have wide application
especially due to an enhancement of a chemical
fertilizers industry. A large surface of interaction
between gas (heat-carrier) and liquid (solution) phases
is obtained in these devices. Evaporation of solutions
in them occurs without heating spirals. Thus reliability
of evaporation plants rose along with their design and
work simpliﬁ cation.
In this paper we simulate an active plant on evaporation
of a pulp for computation of the optimum conditions of
In our plant suspensions are evaporated in an operation
area of a bubble evaporator (BE).
Fig. 1. Block-scheme of the evaporating process into the operation area.