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International Journal of Mechanical Engineering and Technology (IJMET)
Volume 6, Issue 7, Jul 2015, pp. 01-07, Article ID: IJMET_06_07_001
Available online at
http://www.iaeme.com/IJMET/issues.asp?JTypeIJMET&VType=6&IType=7
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication
___________________________________________________________________________
PERFORMANCE STUDY OF A SOLAR AIR
HEATER
Veena Pal, Ajeet Kumar Rai and Vivek Sachan
Department of Mechanical Engineering, SSET,
SHIATS-Allahabad, UP. India.
ABSTRACT
In the present work an attempt has been made to experimentally
investigate the performance of a flat plate solar air heater. Experiments were
performed to find the energy and exergy efficiency at different mass flow rate
of air. It is observed that for a 16% increase in mass flow rate of air, energy
efficiency increases by 20%, whereas exergy efficiency increases by 36%.
Key words: Solar air heater, exergy efficiency and energy efficiency.
Cite this Article: Pal, V., Rai, A. K. and Sachan, V. Performance Study of a
Solar Air Heater. International Journal of Mechanical Engineering and
Technology, 6(7), 2015, pp. 01-07.
http://www.iaeme.com/IJMET/issues.asp?JTypeIJMET&VType=6&IType=7
_____________________________________________________________________
1. INTRODUCTION
Solar air heater is widely used because it is simple in design, and easy to fabricate,
easy to maintain and it required cheap material for construction. The main problem
with these systems is low rate of heat transfer from absorber plate to flowing air.
Researchers have attempted to improve the performance of solar air heater by
focusing intensive studies on design and operating parameter. Many researchers [1–4]
have attempted to increase heat transfer rate from absorber plate to flowing air by
adding fins on absorber plate. Several studies [5–11] have been done by providing the
roughness on absorbing plate. Some researchers [12–16] have used packed bed
material where as in several different studies corrugated surface mainly V corrugated,
cross corrugated have been used. Many researchers [17–21] have used recycle of
flowing air with different duct. Owning to increase frictional losses higher pump work
is required which puts further restriction on increasing surface roughness to improve
heat transfer rate from absorber plate to flowing air.
In order to balance the quality of energy gain and friction losses the exergy
analysis is done. The exergy analysis has proven to more powerful tool to design and
optimize the performance of energy system [22]. In the present work an attempt has
Veena Pal, Ajeet Kumar Rai and Vivek Sachan
http://www.iaeme.com/IJMET/index.asp 2 editor@iaeme.com
been made to perform energy and exergy analysis of solar air heater at different mass
flow rate of air.
2. EXPERIMENTAL SETUP
A solar air heater was constructed of galvanized iron absorber plate of size 1.2 m and
cover plate of glass of thickness 5 mm. absorber plate is painted black to absorb solar
radiation. Absorber plate is properly insulated to reduce heat losses. As shown in
photograph.
Experiments were conducted in the solar energy laboratory of SHIATS Allahabad,
(25°28’N, 81°54’E) UP, India in the month of May. A fan is used to force the air in
the system. The flow rate is controlled by fan regulator. Solar intensity is measured by
solarimeter (SURYAMAPI). Wind velocity is measured by anemometer. The
temperature at the different points of the system is measured by J-type thermocouple.
Figure 1 shows the photograph of the experimental setup
3. THEORETICAL ANALYSIS
3.1 Energy Analysis
The theoretical model employed for the study of the solar collector that operates
in unsteady state is made using a thermal energy balance [22]:
[Accumulated energy] + [Energy gain] = [Absorbed energy] + [Lost energy] (1)
For each term of Eq. (1) the following expressions are formulated:
Performance Study of a Solar Air Heater
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[Accumulated energy] = MpCp (dTp,ave/dt), (2)
[Energy gain] = ṁCp (Tout – Tin), (3)
[Absorbed energy]= ηoIAc, (4)
[Lost energy] = UC (Tp,ave – Te) IAc (5)
By combining Eqs. (2)– (5), the thermal energy balance equation necessary to
describe the solar collector functioning is obtained:
MpCp (dTp,ave/dt)+ ṁCp(Tout – Tin)= ηoIAc +UC (Tp,ave – Te)IAc (6)
The optical yield (ηo) and the energy lose coefficient (UC) are the parameters that
characterize the behaviour of the solar collector. Note that η represents the fraction of
the solar radiation absorbed by the plate and depends mainly on transmittance of the
transparent covers and on the absorbance of the plate [22].
The energy loss coefficient includes the losses by the upper cover, the laterals, and
the bottom of the collector. The upper cover losses prevail over the others, depending
to a large extent on the temperature and emissivity of the absorbent bed, and besides,
on the convective effect of the wind on the upper cover. The thermal efficiency of the
solar collectors (η) is defined as the ratio between the energy gain and the solar
radiation incident on the collector plane:
(7)
3.2. Exergy Analysis
The mass balance equation can be expressed in the rate form as
∑ṁ = ∑ṁ (8)
Where ṁ is the mass flow rate, and the subscript in stands for inlet and out for outlet.
If the effects due to the kinetic and potential energy changes are neglected, the general
energy and exergy balances can be expressed in rate form as given below
∑Ė = ∑Ė (9)
∑Ė − ∑Ė = ∑Ė (10a)
Or
Ė − Ė + Ė , − Ė , = Ė (10b)
Using equation the rate form of the general exergy balance can be expressed as
follow:
∑ 1 − − + ∑ṁ ѱ − ∑ṁ ѱ = Ė (11)
Where,
ѱ = !ℎ − ℎ # − $ !% − % # (12)
ѱ = !ℎ − ℎ # − $ !% − % # (13)
Veena Pal, Ajeet Kumar Rai and Vivek Sachan
http://www.iaeme.com/IJMET/index.asp 4 editor@iaeme.com
Equations (12) and (13) are substituted in equation (14), it is arranged as below:
1 − − ṁ&!ℎ − ℎ # − $ !% − % #' = Ė (14)
Where Qs is solar energy absorbed by the collector absorber surface and it is
evaluated with the expression given below:
= (!)*#+, (15)
The changes in enthalpy and entropy of the air at collector are expressed by:
∆ℎ = ℎ − ℎ = ./0$1, − $1, 2 (16)
∆% = % − % = 3/45
6,789
6,:;
(17)
By substituting equations (15)-(17) onto equation (18) the equation below can be
derived
1 − (!)*#+, − ṁ.<!$ − $ # + ṁ.<$ 45
6,789
6,:;
= Ė (18)
The exergy destruction or irreversibility may be expressed as follows:
Ė = $ => (19)
The exergy analysis efficiency of a solar collector system can be calculated in
terms of the net output exergy of the system or exergy destructions in the system.
Exergy efficiency of SAH system has been evaluated in terms of the net output exergy
of the system.
The second law efficiency is calculated as follows:
?‖ =
ĖA789
ĖA:;
=
ṁ&! 789B :;#B ! 789B :;#'
CB
D
D
E
(20)
4. RESULTS AND DISCUSSIONS
Figure 2 shows variation in solar intensity for different days when mass flow rate of
air taken as 0.036, 0.039 and 0.042 kg/s. Figure 3 shows the variation in wind speed
for these days.
Figure 4 shows variation of temperature difference of air from outlet to inlet. This
is high for higher value of mass flow rate. Figure 5 shows variation in energy
efficiency at different mass flow rate. The daily energy efficiency of 46.65% is
obtained with lower mass flow rate 0.036 kg/s. When mass flow rate increases to
0.039 kg/s energy efficiency is 51.35%, maximum of 56% daily efficiency is obtained
with mass flow rate of 0.042 kg/s. A maximum instantaneous efficiency of 91% is
obtained with 0.042 kg/s for lower solar intensity I(t). The effect of mass flow rate is
minimized at low solar intensity. Figure 6 shows the exergy efficiency at different
mass flow rate. Daily exergy efficiency of 1.2% is obtained with mass flow rate 0.036
kg/s. With 0.039 kg/s exergy efficiency is 1.4085%. Maximum daily exergy
efficiency of 1.46 % is obtained with maximum mass flow rate of 0.042 kg/s.
Maximum instantaneous exergy efficiency of 3.48 % is obtained at a mass flow rate
of 0.042 kg/s.
Performance Study of a Solar Air Heater
http://www.iaeme.com/IJMET/index.asp 5 editor@iaeme.com
Figure 2 Variation of solar intensity with time of the day at different mass flow rate
Figure 3 Variation of wind velocity with time of the day at different mass flow rate
Figure 4 Variation of temperature difference between inlet and outlet with time of the day at
different mass flow rate.
0
200
400
600
800
1000
1200
1400
10:00 10:30 11:00 11:30 12:00 12:30 1:00 1:30 2:00 2:30 3:00 3:30
solarintensityW/m2
time of the day (hr)
0.036 kg/s
0.039 kg/s
0.042 kg/s
0
20
40
60
80
100
10:00 10:30 11:00 11:30 12:00 12:30 1:00 1:30 2:00 2:30 3:00 3:30
Energyefficiency(%)
Time of the day (hr)
0.036 kg/s
0.039 kg/s
0.042 kg/s
0
5
10
15
20
25
10:00 10:30 11:00 11:30 12:00 12:30 1:00 1:30 2:00 2:30 3:00 3:30
temperaturedifference(0C)
time of the day (hr)
0.036 kg/s
0.039 kg/s
0.042 kg/s
Veena Pal, Ajeet Kumar Rai and Vivek Sachan
http://www.iaeme.com/IJMET/index.asp 6 editor@iaeme.com
Figure 5 Variation of energy efficiency with time of the day at different mass flow rate
Figure 6 Variation of exergy efficiency with time of the day at different mass flow rate
5. CONCLUSION
In the present work experiments were conducted on a solar air heater to find the effect
of mass flow rate of air on energy and exergy efficiency. The measured parameters
were solar intensity, wind speed, inlet outlet temperature of air, absorbing plate
temperature and ambient temperature. Daily energy efficiency of solar air heater is
increased with increasing mass flow rate of air. Maximum energy efficiency of 56%
was obtained at mass flow rate of 0.042 kg/s. Compared with daily energy efficiency,
daily exergy efficiency value is very low. Exergy efficiency increases from 1.21% to
1.67% for increasing mass flow rate from 0.036 to 0.042 kg/s.
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http://www.iaeme.com/IJMET/index.asp 7 editor@iaeme.com
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[8] Mittal, M. K., Saini, R. P. and Singal, S. K. Effective efficiency of solar air
heaters having different types of roughness elements on the absorber plate.
Energy, 32, 2007, pp. 739−745.
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air heaters with partially perforated cover and packed mesh. Energy 73, 2014,
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performance of a double-flow solar air heater having aluminium cans. Renewable
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Ijmet 06 07_001

  • 1. http://www.iaeme.com/IJMET/index.asp 1 editor@iaeme.com International Journal of Mechanical Engineering and Technology (IJMET) Volume 6, Issue 7, Jul 2015, pp. 01-07, Article ID: IJMET_06_07_001 Available online at http://www.iaeme.com/IJMET/issues.asp?JTypeIJMET&VType=6&IType=7 ISSN Print: 0976-6340 and ISSN Online: 0976-6359 © IAEME Publication ___________________________________________________________________________ PERFORMANCE STUDY OF A SOLAR AIR HEATER Veena Pal, Ajeet Kumar Rai and Vivek Sachan Department of Mechanical Engineering, SSET, SHIATS-Allahabad, UP. India. ABSTRACT In the present work an attempt has been made to experimentally investigate the performance of a flat plate solar air heater. Experiments were performed to find the energy and exergy efficiency at different mass flow rate of air. It is observed that for a 16% increase in mass flow rate of air, energy efficiency increases by 20%, whereas exergy efficiency increases by 36%. Key words: Solar air heater, exergy efficiency and energy efficiency. Cite this Article: Pal, V., Rai, A. K. and Sachan, V. Performance Study of a Solar Air Heater. International Journal of Mechanical Engineering and Technology, 6(7), 2015, pp. 01-07. http://www.iaeme.com/IJMET/issues.asp?JTypeIJMET&VType=6&IType=7 _____________________________________________________________________ 1. INTRODUCTION Solar air heater is widely used because it is simple in design, and easy to fabricate, easy to maintain and it required cheap material for construction. The main problem with these systems is low rate of heat transfer from absorber plate to flowing air. Researchers have attempted to improve the performance of solar air heater by focusing intensive studies on design and operating parameter. Many researchers [1–4] have attempted to increase heat transfer rate from absorber plate to flowing air by adding fins on absorber plate. Several studies [5–11] have been done by providing the roughness on absorbing plate. Some researchers [12–16] have used packed bed material where as in several different studies corrugated surface mainly V corrugated, cross corrugated have been used. Many researchers [17–21] have used recycle of flowing air with different duct. Owning to increase frictional losses higher pump work is required which puts further restriction on increasing surface roughness to improve heat transfer rate from absorber plate to flowing air. In order to balance the quality of energy gain and friction losses the exergy analysis is done. The exergy analysis has proven to more powerful tool to design and optimize the performance of energy system [22]. In the present work an attempt has
  • 2. Veena Pal, Ajeet Kumar Rai and Vivek Sachan http://www.iaeme.com/IJMET/index.asp 2 editor@iaeme.com been made to perform energy and exergy analysis of solar air heater at different mass flow rate of air. 2. EXPERIMENTAL SETUP A solar air heater was constructed of galvanized iron absorber plate of size 1.2 m and cover plate of glass of thickness 5 mm. absorber plate is painted black to absorb solar radiation. Absorber plate is properly insulated to reduce heat losses. As shown in photograph. Experiments were conducted in the solar energy laboratory of SHIATS Allahabad, (25°28’N, 81°54’E) UP, India in the month of May. A fan is used to force the air in the system. The flow rate is controlled by fan regulator. Solar intensity is measured by solarimeter (SURYAMAPI). Wind velocity is measured by anemometer. The temperature at the different points of the system is measured by J-type thermocouple. Figure 1 shows the photograph of the experimental setup 3. THEORETICAL ANALYSIS 3.1 Energy Analysis The theoretical model employed for the study of the solar collector that operates in unsteady state is made using a thermal energy balance [22]: [Accumulated energy] + [Energy gain] = [Absorbed energy] + [Lost energy] (1) For each term of Eq. (1) the following expressions are formulated:
  • 3. Performance Study of a Solar Air Heater http://www.iaeme.com/IJMET/index.asp 3 editor@iaeme.com [Accumulated energy] = MpCp (dTp,ave/dt), (2) [Energy gain] = ṁCp (Tout – Tin), (3) [Absorbed energy]= ηoIAc, (4) [Lost energy] = UC (Tp,ave – Te) IAc (5) By combining Eqs. (2)– (5), the thermal energy balance equation necessary to describe the solar collector functioning is obtained: MpCp (dTp,ave/dt)+ ṁCp(Tout – Tin)= ηoIAc +UC (Tp,ave – Te)IAc (6) The optical yield (ηo) and the energy lose coefficient (UC) are the parameters that characterize the behaviour of the solar collector. Note that η represents the fraction of the solar radiation absorbed by the plate and depends mainly on transmittance of the transparent covers and on the absorbance of the plate [22]. The energy loss coefficient includes the losses by the upper cover, the laterals, and the bottom of the collector. The upper cover losses prevail over the others, depending to a large extent on the temperature and emissivity of the absorbent bed, and besides, on the convective effect of the wind on the upper cover. The thermal efficiency of the solar collectors (η) is defined as the ratio between the energy gain and the solar radiation incident on the collector plane: (7) 3.2. Exergy Analysis The mass balance equation can be expressed in the rate form as ∑ṁ = ∑ṁ (8) Where ṁ is the mass flow rate, and the subscript in stands for inlet and out for outlet. If the effects due to the kinetic and potential energy changes are neglected, the general energy and exergy balances can be expressed in rate form as given below ∑Ė = ∑Ė (9) ∑Ė − ∑Ė = ∑Ė (10a) Or Ė − Ė + Ė , − Ė , = Ė (10b) Using equation the rate form of the general exergy balance can be expressed as follow: ∑ 1 − − + ∑ṁ ѱ − ∑ṁ ѱ = Ė (11) Where, ѱ = !ℎ − ℎ # − $ !% − % # (12) ѱ = !ℎ − ℎ # − $ !% − % # (13)
  • 4. Veena Pal, Ajeet Kumar Rai and Vivek Sachan http://www.iaeme.com/IJMET/index.asp 4 editor@iaeme.com Equations (12) and (13) are substituted in equation (14), it is arranged as below: 1 − − ṁ&!ℎ − ℎ # − $ !% − % #' = Ė (14) Where Qs is solar energy absorbed by the collector absorber surface and it is evaluated with the expression given below: = (!)*#+, (15) The changes in enthalpy and entropy of the air at collector are expressed by: ∆ℎ = ℎ − ℎ = ./0$1, − $1, 2 (16) ∆% = % − % = 3/45 6,789 6,:; (17) By substituting equations (15)-(17) onto equation (18) the equation below can be derived 1 − (!)*#+, − ṁ.<!$ − $ # + ṁ.<$ 45 6,789 6,:; = Ė (18) The exergy destruction or irreversibility may be expressed as follows: Ė = $ => (19) The exergy analysis efficiency of a solar collector system can be calculated in terms of the net output exergy of the system or exergy destructions in the system. Exergy efficiency of SAH system has been evaluated in terms of the net output exergy of the system. The second law efficiency is calculated as follows: ?‖ = ĖA789 ĖA:; = ṁ&! 789B :;#B ! 789B :;#' CB D D E (20) 4. RESULTS AND DISCUSSIONS Figure 2 shows variation in solar intensity for different days when mass flow rate of air taken as 0.036, 0.039 and 0.042 kg/s. Figure 3 shows the variation in wind speed for these days. Figure 4 shows variation of temperature difference of air from outlet to inlet. This is high for higher value of mass flow rate. Figure 5 shows variation in energy efficiency at different mass flow rate. The daily energy efficiency of 46.65% is obtained with lower mass flow rate 0.036 kg/s. When mass flow rate increases to 0.039 kg/s energy efficiency is 51.35%, maximum of 56% daily efficiency is obtained with mass flow rate of 0.042 kg/s. A maximum instantaneous efficiency of 91% is obtained with 0.042 kg/s for lower solar intensity I(t). The effect of mass flow rate is minimized at low solar intensity. Figure 6 shows the exergy efficiency at different mass flow rate. Daily exergy efficiency of 1.2% is obtained with mass flow rate 0.036 kg/s. With 0.039 kg/s exergy efficiency is 1.4085%. Maximum daily exergy efficiency of 1.46 % is obtained with maximum mass flow rate of 0.042 kg/s. Maximum instantaneous exergy efficiency of 3.48 % is obtained at a mass flow rate of 0.042 kg/s.
  • 5. Performance Study of a Solar Air Heater http://www.iaeme.com/IJMET/index.asp 5 editor@iaeme.com Figure 2 Variation of solar intensity with time of the day at different mass flow rate Figure 3 Variation of wind velocity with time of the day at different mass flow rate Figure 4 Variation of temperature difference between inlet and outlet with time of the day at different mass flow rate. 0 200 400 600 800 1000 1200 1400 10:00 10:30 11:00 11:30 12:00 12:30 1:00 1:30 2:00 2:30 3:00 3:30 solarintensityW/m2 time of the day (hr) 0.036 kg/s 0.039 kg/s 0.042 kg/s 0 20 40 60 80 100 10:00 10:30 11:00 11:30 12:00 12:30 1:00 1:30 2:00 2:30 3:00 3:30 Energyefficiency(%) Time of the day (hr) 0.036 kg/s 0.039 kg/s 0.042 kg/s 0 5 10 15 20 25 10:00 10:30 11:00 11:30 12:00 12:30 1:00 1:30 2:00 2:30 3:00 3:30 temperaturedifference(0C) time of the day (hr) 0.036 kg/s 0.039 kg/s 0.042 kg/s
  • 6. Veena Pal, Ajeet Kumar Rai and Vivek Sachan http://www.iaeme.com/IJMET/index.asp 6 editor@iaeme.com Figure 5 Variation of energy efficiency with time of the day at different mass flow rate Figure 6 Variation of exergy efficiency with time of the day at different mass flow rate 5. CONCLUSION In the present work experiments were conducted on a solar air heater to find the effect of mass flow rate of air on energy and exergy efficiency. The measured parameters were solar intensity, wind speed, inlet outlet temperature of air, absorbing plate temperature and ambient temperature. Daily energy efficiency of solar air heater is increased with increasing mass flow rate of air. Maximum energy efficiency of 56% was obtained at mass flow rate of 0.042 kg/s. Compared with daily energy efficiency, daily exergy efficiency value is very low. Exergy efficiency increases from 1.21% to 1.67% for increasing mass flow rate from 0.036 to 0.042 kg/s. REFERENCES [1] Chabane, F., Moummi, N. and Benramache, S. Experimental analysis on thermal performance of a solar air collector with longitudinal fins in a region of Biskra, Algeria. Journal of Power Technologies, 93, 2013, pp. 52–58 [2] Ho, C. D., Yeh, H. M., Cheng, T. W., Chen, T. C. and Wang, R. C. The influences of recycle on performance of baffled double-pass flat-plate solar air heaters with internal fins attached. Applied Energy, 86, 2009, pp. 1470–8. [3] Karim, M. A. and Hawlader, M. N. A. Performance investigation of flat plate, V corrugated and finned air collectors. Applied Energy, 86, 2006, pp. 1470–8. [4] Nwosu, P. and Nwachukwu. Employing exergy-optimized pin fins in the design of an absorber in a solar air heater. Energy, 35, 2010, pp. 571–575. 0 1 2 3 4 10:0010:3011:0011:3012:0012:30 1:00 1:30 2:00 2:30 3:00 3:30 exergyefficiency(%) time of the day (hr) 0.036 kg/s 0.039 kg/s 0.042 kg/s 0 20 40 60 80 100 10:00 10:30 11:00 11:30 12:00 12:30 1:00 1:30 2:00 2:30 3:00 3:30 Energyefficiency(%) Time of the day (hr) 0.036 kg/s 0.039 kg/s 0.042 kg/s
  • 7. Performance Study of a Solar Air Heater http://www.iaeme.com/IJMET/index.asp 7 editor@iaeme.com [5] Aharwal, K. R., Gandhi, B. K. and Saini, J. S. Heat transfer and friction characteristics of Mass Transfer. 52, 2009, pp. 5970–7. [6] Jaurker, A. R., Saini, J. S. and Gandhi, B. K. Heat transfer and friction characteristics of rectangular solar air heater duct using rib-grooved artificial roughness. Solar Energy, 80, 2006, pp. 895–907. [7] Karmare, S. V. and Tikekar, A. N. Experimental investigation of optimum thermo hydraulic performance of solar air heaters with metal rib grits roughness. Solar Energy, 83, 2009, pp. 6–13. [8] Mittal, M. K., Saini, R. P. and Singal, S. K. Effective efficiency of solar air heaters having different types of roughness elements on the absorber plate. Energy, 32, 2007, pp. 739−745. [9] Nowzari, R., Aldabbagh, L. B. Y. and Egelioglu, F. Single and double pass solar air heaters with partially perforated cover and packed mesh. Energy 73, 2014, 694–702. [10] Ozgen, F., Esen, M. and Esen, H. Experimental investigation of thermal performance of a double-flow solar air heater having aluminium cans. Renewable Energy, 34, 2009, pp. 2391–2398. [11] Durgesh, Y. Rai, A. K. and Sachan, V. Experimental study of solar air heater. International Journal of Advance Research in Engineering and Technology (IJARET), 5, 2014, pp. 102–106. [12] Ramadan, M. R. I., El-Sebaii, A. A., Aboul-Enein, S. and El-Bialy, E. Thermal performance of a packed bed double-pass solar air heater. Energy, 32, 2007, pp. 1524–1535. [13] Lalji, M. K., Sarviya, R. M. and Bhagoria, J. L. Exergy evaluation of packed bed solar air heater. Renew Sustain Energy Rev, 16, 2012, pp. 6262–7. [14] Prasad, S. B., Saini, J. S. and Krishna, M. S. Investigation of heat transfer and friction characteristics of packed bed solar air heater using wire mesh as packing material. Solar Energy, 83, 2009, pp. 773–83. [15] Dhiman, P., Thakur, N. S., Kumar, A. and Singh, S. An analytical model to predict the thermal performance of a novel parallel flow packed bed solar air heater. Applied Energy, 88, 2011, pp. 2157–67. [16] Rai, A. K., Ningh, N. and Sachan, V. Experimental Study of a Single Basin Solar Still with Water Cooling of the Glass Cover. International Journal of Mechanical Engineering and Technology, 4(6), 2013, pp. 1–7. [17] Ho, C. D., Yeh, C. W. and Hsieh, S. M. Improvement in device performance of multi-pass flat-plate solar air heaters with external recycle. Renewable Energy, 30, 2005, pp. 1601–21. [18] Ho, C. D., Yeh, H. M. and Wang, R. C. Heat-transfer enhancement in double- pass flat plate solar air heaters with recycles. Energy, 30, 2005, pp. 2796–817. [19] Yeh, H. M. and Ho, C. D. Solar air heaters with external recycles. Applied Thermal Energy, 29, 2009, pp. 1694–701. [20] Yeh, H. M. and Ho, C. D. Downward-type solar air heaters with internal recycle. Taiwan Inst Chem Eng, 42, 2011, pp. 286–91. [21] Lior, N., Sarmiento-Darkin, W. and Al-Sharqawi, H. S. The exergy fields in transport processes: their calculation and use. Energy, 31, 2006, pp. 553–78. [22] Hikmet, E. Experimental energy and exergy analysis of a double-flow solar air heater having different obstacles on absorber plates. Building and environment, 43, 2008, pp. 1046–1054.