ISSN 0003-701X, Applied Solar Energy, 2014, Vol. 50, No. 3, pp. 138–142. © Allerton Press, Inc., 2014.
Original Russian Text © Z.S. Iskandarov, A.S. Halimov, 2014, published in Geliotekhnika, 2014, No. 3, pp. 17–22.
138
1
The heat-engineering calculations in solar-fuel
installations of the concerned type lies in defining the
quantity of additional energy generated in an air chan-
nel formed between the blackened surface of the dry-
ing chamber wall and transparent insulation, which, at
the same time, serves as a function of the solar air
heater [1]. Incident of the heat on a heat exchange sur-
face of a heat receiver (absorbing panel) takes place
from two sides: as results of absorbing of solar radiation
and heat transfer through walls of the drying chamber
[1, 2].
As it is known that, the unsteady conductive heat
transfer in the cylindrical coordinates is expressed as
the following:
(1)
where r is the radius of the cylindrical drying chamber,
m; is the heat generated in the unit volume of the
drying chamber material, W/m
3
; k is thermal conduc-
tivity of the drying chamber material, W/m °C; z is the
height of the drying chamber (here and below, it will be
denoted by L), m; α is the thermal diffusivity of the
drying chamber material, m
2
/s; ϕ is the polar angle of
the point the element; and t is time, s.
If one takes into account that the wall thickness of
the drying chamber is δ = r
c
– r
i
, then the thermal
resistance of the wall of the drying chamber takes the
following form:
(2)
1
The article was translated by the authors.
∂
2
T
∂ r
2
-------
1
r
-
∂ T
∂ r
-----
1
r
2
--
∂
2
T
∂ϕ
2
-------
∂
2
T
∂ z
2
-------
q
·
k
- + + + +
1
α
--
∂ T
∂ t
----- , =
q
·
R
i
r
c
r
i
-- ln
2 π kL
---------- , =
where L is height of drying chamber, m; r
c
is the radius
of the section of the cylindrical drying chamber; and
r
i
is inner section radius of the drying chamber, m.
Therefore, if the drying chamber is in the convec-
tion with some environment, then the thermal resis-
tance of the chamber is defined with the following:
(3)
where A
i
and A
o
are the areas of the inner and outer
surfaces of the drying chamber, respectively, and h
i
and
h
o
are the heat transfer coefficients on the inner and
outer surfaces of the cylindrical drying chamber,
respectively [5].
Therefore, the thermal balance equation for the
vertical cylindrical drying chamber (Fig. 1) is express-
ing as follows:
(4)
where and are the flow rates of the drying agent
at the inlet and outlet in the drying chamber, respec-
tively; c
p
and T
1
are the specific heat capacity and tem-
perature of the drying agent at the inlet; T
2
is the tem-
perature of the heated air flow by the heating coil; q
ir
is
the incident solar radiation intensity on the surface of
transparent cover; A
cs
is the minimal surface area of
the transparent cover where solar radiation falls; R
2
is
the thermal resistance of the transparent cover mate-
rial; T
3
is the temperature of the air layer formed
between the drying chamber and transparent cover;
R
ic
1
h
i
A
i
-------
r
c
r
i
-- ln
2 π kL
----------
1
h
o
A
o
-------- , + + =
m
·
1
c
p
T
1
T
2
– ( ) q
ir
A
cs
+
T
3
T
a
–
R
2
------------- =
+ q
ev
A
ps
m
·
2
c
p
T
3
T
a
– ( ) , +
m
·
1
m
·
2
Numerical Calculation of the Useful Capacity Obtained
from Regenerating an Exhaust Drying Agent
in a Solar-Fuel Drying Installation
1
Z. S. Iskandarov
a
and A. S. Halimov
b,
*
a
Tashkent State Agrarian University, Tashkent, Uzbekistan
b
Physical-Technical Institute SPA Physics-Sun, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
*e-mail: halimov@uzsci.net
Received May 15, 2013
Abstract—In the current paper, the numerical calculation of useful power received from the regeneration of
the exhaust drying agent in a solar-fuel drying installation is presented. The useful power of solar radiation is
defined at the given values of the environment.
DOI: 10.3103/S0003701X14030050
SOLAR POWER PLANTS
AND THEIR APPLICATION