Performance Analysis of Solar Assisted Fluidized Bed Dryer Integrated Biomass Furnace with and without Heat Pump for Drying of Paddy

The performances of a solar assisted fluidized bed dryer integrated biomass furnace (SA-FBDIBF) and a solar assisted heat pump fluidized bed dryer integrated biomass furnace (SAHP-FBDIBF) for drying of paddy have been evaluated, and also drying kinetics of paddy were determined. The SA-FBDIBF and the SAHP-FBDIBF were used to dry paddy from 11 kg with moisture content of 32.85% db to moisture content of 16.29%db (14%wb) under an air mass flow rate of 0.1037 kg/s within 29.73 minutes and 22.95 minutes, with average temperatures and relative humidities of 80.3C and 80.9C and 12.28% and 8.14%, respectively. The average drying rate, specific energy consumption, and specific moisture extraction rate were 0.043 kg/minute and 0.050 kg/minute, 5.454 kWh/kg and 4.763 kWh/kg, and 0.204 kg/kWh and 0.241 kg/kWh for SA-FBDIBF and SAHP-FBDIBF, respectively. In SAFBDIBF and SAHP-FBDIBF, the dryer thermal efficiencies were average values of 12.28% and 15.44%; in addition, the pickup efficiencies were 33.55% and 43.84% on average, whereas the average solar and biomass fractions were 10.9% and 10.6% and 36.6% and 30.4% for SA-FBDIBF and SAHP-FBDIBF, respectively. The drying of paddy occurred in the falling rate period. The experimental dimensionless moisture content data were fitted to three mathematical models. Page’s model was found best to describe the drying behaviour of paddy.


Introduction
In Indonesia, paddy rice is the staple food of nearly 90% of population and an economic resource of more than 30 million farmers.Indonesia is the third biggest paddy producing country worldwide with its annual production of around 78 million ton [1].Paddy after harvest generally have a high moisture content of about 20-23% wet basis in dry season and about 24-27% wet basis in wet season [2].At the level of this moisture content, rice is easily broken and can not be securely stored because it is very susceptible to be attacked by fungus and insect.Therefore, in order to secure long-term storage and milling, the paddy needs to be dried as soon as possible to achieve moisture content of about 14% wet basis [3].Commonly, paddy was dried using traditional sun drying and fixed bed dryer (artificial dryer).Traditional sun drying results in low quality products and long drying time.Whereas fixed bed dryer has many disadvantages such as incapability of retaining uniform moisture content, some parts of product will be over dried and some other parts will not be dried adequately which will result in a lot of broken rice during milling process, low drying rate, and long drying time [4].
Fluidized bed dryer provides an alternative to the use of traditional sun drying and fixed bed dryer for drying of paddy.The fluidized bed dryer has some advantages such as lower initial and maintenance costs, high drying rate, uniform product moisture content, and less drying time [5,6].
Several researchers have designed and tested the fluidized bed dryer for drying of paddy.Soponronnarit et al. [7] have designed and tested a prototype fluidized bed dryer for drying of paddy with a capacity of 0.82 ton/h.The result showed that the dryer reduced the moisture content of paddy from 45% dry basis to 24% dry basis at drying air temperature of 100-120 ∘ C, with specific airflow rate of 0.05 kg/s⋅kg dry matter and air velocity of 3.2 m/s.The electrical and thermal energy 2 International Journal of Photoenergy consumption were found to be about 0.53 and 1.79 MJ/kg water removed, respectively.Also, good qualities in terms of head yield and whiteness were obtained.
Ibrahim et al. [8] have investigated the performance of an industrial fluidized bed dryer for drying of paddy in Malaysia with design capacity of 25 t/h.The moisture content of paddy was reduced from 36.98% dry basis to 27.58% dry basis at drying air temperature of 100-120 ∘ C with a feed rate (capacity) of 7.75 t/h.The average drying rate was found to be 538 kg moisture/h, whereas the electrical and thermal energy consumption were found to be about 0.79 and 7.57 MJ/kg water removed, respectively.Also, higher head rice yield and whiteness and lower milling recovery were achieved.
However, most of the fluidized bed dryer which is used for drying of paddy is of the type of hot air dryer.It has disadvantages such as high energy consumption and the drying rate depends on the drying air temperature, to increase the drying rate which is done by increasing the drying air temperature [9].Also, most of the energy used to heat the drying air is fossil fuels such as LPG and fuel oil, while the fossil fuel sources are limited and their prices are high and steadily increasing.
Too high drying air temperature may cause cracking of the rice kernel which in turn causes breakage during milling, thereby reducing head rice yield [10][11][12].
Karbassi and Mehdizadeh [13] have studied the influence of drying air temperature on quality of rough rice using a fluidized bed dryer.The moisture content of paddy was reduced from 20% dry basis to 13% wet basis at drying air temperature of 140 ∘ C.They found that the quality of rough rice in terms of head rice yield was decreased.
To overcome the problems of the hot air dryer, several researchers have designed and tested the combination of heat pump with solar energy.Dezfouli et al. [14] have evaluated the performance of a solar assisted heat pump dryer by using cabinet type of drying chamber for drying red chilli with a capacity of 15 kg.The moisture content of red chilli was reduced from 4 dry basis to 0.08 dry basis within 32 hours at an average temperature of 46 ∘ C, relative humidity of 27%, and air mass flow rate of 0.15 kg/h.S ¸evik et al. [15] have investigated the performance of a solar assisted heat pump system by using cabinet type of drying chamber for drying of mushroom.The moisture content of mushroom was reduced from initial moisture content 13.24 dry basis to final moisture content 0.07 dry basis within 230-190 min at the drying air temperature of 45 ∘ C and 55 ∘ C with an air mass flow rate of 310 kg/h, whereas the coefficient of performance of system (COP) was in the range between 2.1 and 3.1.Also, the energy utilization ratio (EUR) and specific moisture extraction rate (SMER) were varied between 0.42 and 0.66 and 0.26 and 0.92 kg/kWh, respectively.
Mohanraj [16] has evaluated the performance of a solarambient hybrid source heat pump dryer by using cabinet type of drying chamber for copra drying under hot-humid weather conditions.The moisture content of the copra was reduced from 52% wet basis to 9.2% wet basis and 9.8% wet basis within 40 hours for trays at bottom and top, respectively, at the drying air temperature in the range between 41 ∘ C and 48 ∘ C with an average temperature of 43.2 ∘ C, whereas the COP of the dryer was in the range between 2.31 and 2.77 with an average value of 2.54.Also, the condenser heating capacity was varied between 2900 W and 3750 W with an average value of 3290 W, whereas the SMER was found to be about 0.79 kg/kWh.However, the solar assisted heat pump dryer has disadvantages such as the drying air temperature being low when on cloudy and rainy days and at the night time.Also, the solar assisted heat pump dryer features are not fully operated, this due to the drying air temperature is limited, and it is caused by the limited ability of solar collectors to absorb (collect) energy from the sun.Therefore, it is necessary to provide the solar assisted heat pump dryers with an auxiliary heater, such as biomass furnace by using biomass as heat energy sources.
Yahya [9] has been designed and evaluated for the performance of a solar assisted heat pump dryer integrated with biomass furnace by using cabinet type of drying chamber for drying red chillies with a capacity of 22 kg.The researcher reported that the dryer is able to reduce the moisture content of red chillies from 4.26 dry basis to 0.08 dry basis within 11 hours at an air mass flow rate of 0.124 kg/s, with the average drying chamber temperature and drying chamber relative humidity of 70.5 ∘ C and 10.1%, respectively.The drying rate, the specific moisture extraction rate, and thermal efficiency of the dryer were estimated on average of about 1.57 kg/h, 0.14 kg/kWh, and 9.03%, respectively.Meanwhile, the average contributions of heat energy by the collector, condenser, and biomass furnace were obtained of about 14.74%, 47.39%, and 37.87%, respectively.
However, no study has been reported yet on the performance of the solar assisted heat pump fluidized bed dryer integrated biomass furnace (SAHP-FBDIBF) for drying of paddy, and the use of solar assisted fluidized bed dryer (SA-FBDIBF) for drying of this food has been rarely investigated.Moreover, limited studies have compared SA-FBDIBF with SAHP-FBDIBF.
Indonesia is located in the equator line, receives abundant solar radiation with a daily average of about 4 kWh/m 2 [17], and also produces approximately 236 million tons of biomass per year, equivalent to about 756.083 mill GJ per year [18].These can be used as heat energy sources in drying process.
Therefore, the objective of this study is to compare the experimental performance of SAHP-FBDIBF with SA-FBDIBF for drying of paddy in Indonesia, to investigate the drying characteristics of paddy in SAHP-FBDIBF and SA-FBDIBF, and also to fit the experimental data to select the best mathematical models.

Experimental Set-Up.
A solar assisted heat pump fluidized bed dryer integrated biomass furnace was designed and installed at the Institute of Technology, Padang, West Sumatra, Indonesia.The drying system consists of finned single-pass solar collector, heat pump, biomass furnace, fluidized bed, cyclone, and blower as shown in Figure 1.The solar collector equipped with transparent cover glass material, absorber plate finned used aluminum and black painted opaque, angle iron frame, inside and outside the collector coated with aluminum 1 mm thickness, and insulation using glass fiber materials.Two solar collectors are connected in series with an area of 1.8 m 2 each, shown in Figure 2. The heat pump consists of several main parts: evaporator, condenser, compressor, and expansion valve.The working fluid of the heat pump is R-22.Compressor use of electrical capacity is 0.5 HP.The dimension of evaporator and condenser of the heat pump is shown in Figure 3.The biomass furnace consists of several main parts such as the combustion chamber, heat exchanger, chimney, and blower.The wall of the combustion chamber uses brick, cement, and steel plate materials and heat exchanger pipes using mild steel with diameter of 2 inc and the number of pipes is 16 units, in which dimension of biomass furnace is shown in Figure 4.The fluidized bed consists of several main parts such as drying chamber, air flow distribution, and the inlet and exit of paddy.The front part of the drying chamber is covered with clear glass with a thickness of 5 mm, and the sides and back are covered with 3 mm thick aluminum plate, while the air distributor used wire aluminum gauze and dimensions as shown in Figure 5.
Cyclone is covered with aluminum plate with 3 mm thickness, and its dimensions are shown in Figure 6.The drying air was circulated by using centrifugal blower (BFD) with 3.7 kW power (three phases).mode of operation as shown in Figure 7. Heat pump was employed for SAHP-FBDIBF mode of operation as shown in Figure 8.

Experimental
The air temperatures at the inlet and outlet of the solar collector, heat pump, biomass furnace, and drying chamber during the operation of the drying system were measured by using T type copper-constantan thermocouples with an accuracy of ±0.1 ∘ C and operating temperature range (−200 ∘ C to 400 ∘ C).The solar radiation was measured by an LI-200 pyranometer in ±0.1 Wm −2 accuracy and with maximum solar radiation of 2000 Wm −2 , operating temperature range (−40 ∘ C to 400 ∘ C), and operating relative humidity range (0% to 100%).The air velocity was measured with 0-30 ms −1 range of an HT-383 anemometer, an accuracy of ±0.2 ms −1 , and operation temperature range (−10 ∘ C to 45 ∘ C).The air temperature and the solar radiation were recorded by an AH4000 data logger with reading accuracy of ±0.1 ∘ C. The mass change of the paddy was measured within 0-15 kg range by using a TKB-0.15weighing scale, with an accuracy of ±0.05 kg.Paddy mass change was weighed and temperature was measured every 5 minutes.The uncertainty was calculated using the following equation [19,20]: where   is total uncertainty in result measurement,  1 ,  2 , . . .,   are uncertainties in independent variables, and  1 ,  2 , . . .,   are independent variables.

Performance of Drying
System.The performances of the solar assisted fluidized bed dryer integrated with biomass furnace (SA-FBDIBF) and the solar assisted heat pump fluidized bed dryer integrated with biomass furnace (SAHP-FBDIBF) for drying of paddy may be characterized by variety of criteria, such as drying rate (DR), specific moisture extraction rate (SMER), specific energy consumption (SEC), specific thermal energy consumption (STEC), specific thermal energy consumption (SEEC), dryer thermal efficiency, and pickup efficiency.They were calculated using the following equations.During drying process, the moisture content of the paddy was calculated by two methods such as wet and dry basis using the following equations [21].
The moisture content wet basis was calculated as follows: The moisture content dry basis was calculated as follows: where   is the mass of bone dry of the paddy and  wetp is mass of wet paddy.The drying rate is the mass of water evaporated from the wet paddy per unit time.It was calculated using the following equation [22]: where  db, is moisture content dry basis of paddy at the time ","  db,+Δ is moisture content dry basis of paddy at the time " + Δ,"  water is the mass of water evaporated,  is drying time, and Δ is drying time interval.The mass of the water evaporated ( water ) from the wet paddy was calculated using the following equation [23]: where  wetp is initial mass of wet paddy,  wb, is initial moisture content on wet basis, and  wb, is final moisture content on the wet basis.
Specific moisture extraction rate (SMER) is ratio of the moisture evaporated from wet product to the energy input to drying system.The specific moisture extraction rates of the SA-FBDIBF and the SAHP-FBDIBF were calculated using the following equations [24].
The SMER for the SA-FBDIBF: The SMER for the SAHP-FBDIBF: where  BFD is the electrical energy consumed by blower of fluidized bed and  BC is the electrical energy consumed by blower of cyclone.
The electrical energies consumed by compressor and blower of cyclone were calculated using the following equation [25]: The electrical energy consumed by blower of fluidized bed was calculated using the following equation: where  is the line voltage,  is the line current, and cos  is the power factor.Specific energy consumption (SEC) is the measure of the energy used to remove 1 kg of water in the drying process.The specific energy consumption of the SA-FBDIBF and the SAHP-FBDIBF was calculated using the following equations [26].
The SEC for the SA-FBDIBF: The SEC for the SAHP-FBDIBF: The specific thermal energy consumption (STEC) of the SA-FBDIBF and the SAHP-FBDIBF was calculated using the following equations [27].
The STEC for the SA-FBDIBF: The STEC for the SAHP-FBDIBF: The specific electrical energy consumption (SEEC) of the SA-FBDIBF and the SAHP-FBDIBF was calculated using the following equations [28].
The SEEC for the SA-FBDIBF: The SEEC for the SAHP-FBDIBF: Thermal efficiency of drying system is ratio of the energy used for moisture evaporation to the energy input to drying system.The thermal efficiency of the SA-FBDIBF and the SAHP-FBDIBF was calculated using the following equations [29].
The thermal efficiency of the SA-FBDIBF: The thermal efficiency of the SAHP-FBDIBF: where   is latent heat of vapourization of water (kJ/kg).Pickup efficiency is the ratio of the moisture evaporated from wet product or the moisture picked up by the air in the drying chamber to the theoretical capacity of the air to absorb moisture.The pickup efficiency of the SA-FBDIBF and the SAHP-FBDIBF was calculated using the following equation [9]: where ṁda is mass flow rate of dry air (kg dry air /s),   is absolute humidity of air entering drying chamber (kg water /kg dry air ), and  as is adiabatic saturation humidity of air entering drying chamber (kg water /kg dry air ).The performance of drying system is satisfactorily depending on the performance of each of the drying system components such as solar collector, heat pump, and biomass furnace.The thermal efficiency of a solar collector is the ratio of useful heat gain by solar collector to the energy incident in the plane of the collector.It was calculated using the following equation [30]: where ṁair is air mass flow rate,   air is specific heat of air, and  in,SC and  out,SC are inlet and outlet air temperatures of solar collector, respectively. SC is an area of collector and   is solar radiation incident in the collector.
The coefficient of performance of a heat pump (COP) is the ratio of useful heat or heat energy released by the refrigerant in the condenser to the electrical energy consumed by compressor.It was calculated using the following equation [31]: where  in,Cond and  out,Cond are inlet and outlet air temperatures of condenser, respectively, and  Comp is the electrical energy consumed by the compressor.
The thermal efficiency of a biomass furnace is the ratio of useful heat by biomass furnace to the heat energy generated by the combustion of the biomass fuel.It was calculated using the following equation [32]: where  in,BF and  out,BF are the inlet and outlet air temperatures of biomass furnace, respectively, ṁbmf is biomass fuel consumption rate, and CV bmf is caloric value of biomass fuel.The biomass fuel uses coconut shell charcoal with a caloric value of about 7600 kcal/kg [33].Solar energy and biomass fuel energy fractions are defined by energy supplied by solar collector and biomass furnace parts of a drying system divided by the total drying system load.The solar energy and biomass fuel energy fractions of the SA-FBDIBF and the SAHP-FBDIBF were calculated using the following equations [34].

Model name
The biomass fuel energy fraction for the SA-FBDIBF: The biomass fuel energy fraction for the SAHP-FBDIBF: 1.The dimensionless moisture content data was estimated as follows [35]: where MR is the dimensionless moisture content and   ,   , and   are the equilibrium moisture content, the initial moisture content, and the moisture content at any time in dry basis, respectively; because of the continuous fluctuation of the relative humidity of the drying air during their drying processes the dimensionless moisture content (MR) was simplified to the following equation [36]: The correlation coefficient ( 2 ), mean bias error (MBE), and root mean-square error (RMSE) obtained for these mathematical models were used to analyze the relative goodness of the fit.These parameters were calculated as follows [37]: where MR exp, is the th experimental dimensionless moisture content, MR pre, is the th predicted dimensionless moisture content,  is the number of observations, and  is the number constant.

Results and Discussion
The variations of solar radiation and collector efficiency with drying time for solar assisted heat pump fluidized bed dryer integrated biomass furnace (SAHP-FBDIBF) and solar assisted fluidized bed dryer integrated biomass furnace (SA-FBDIBF) are shown in Figure 9.For the SA-FBDIBF, the solar radiation was recorded in the range of 659.2 Wm −2 -900.8Wm −2 , with an average value of 777.2 Wm −2 .For the SAHP-FBDIBF, the solar radiation was recorded in the range of 805.9 Wm −2 -923.2Wm −2 , with an average value of 863.8 Wm −2 , whereas the collector efficiencies were calculated in the range of 30.01%-72.69% and 35.72%-58.51%,with average values of 58.20 and 50.51% for SA-FBDIBF and SAHP-FBDIBF, respectively, under an air mass flow rate of 0.1037 kgs −1 .The evaluation of the uncertainty of dryer performance is presented in Table 2.
The variations of temperature and relative humidity at inlet and outlet of heat pump with drying time for SAHP-FBDIBF are shown in Figure 10.The temperatures at inlet and outlet of the heat pump were in the range of 35.1 ∘ C-37.0 ∘ C and 40.4 ∘ C-42.0 ∘ C, with average values of 36.0 ∘ C and 41.3 ∘ C, respectively, whereas the relative humidity at inlet and outlet of the heat pump was in the range of 53.7%-64.4%  calculated in the range of 3.33-4.06,with an average value of 3.74, respectively, under an air mass flow rate of 0.10369 kgs −1 .The variation of temperature at inlet and outlet of biomass furnace and efficiency of biomass furnace with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figure 12.For the SA-FBDIBF, the temperature at inlet and outlet of the biomass furnace ranged from 39.1 ∘ C to 51.4 ∘ C and 83.8 ∘ C to 88.7 ∘ C, with average values of 44.5 ∘ C and 86.7 ∘ C, respectively.For the SAHP-FBDIBF, the temperatures at inlet and outlet of the biomass furnace were in the range of 46.5 ∘ C-51.2 ∘ C and 83.6 ∘ C-88.2 ∘ C, with average values of 49.8 ∘ C and 85.9 ∘ C, respectively, whereas the efficiencies of the biomass furnace were calculated in the range of 65.14%-86.44%and 71.33%-80.36%,with average values of 75.57% and 77.49% for SA-FBDIBF and SAHP-FBDIBF, respectively, under an air mass flow rate of 0.1037 kgs −1 .
The variation of temperature and relative humidity at inlet and outlet of drying chamber (fluidized bed) with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figures 13 and 14. Figure 13 shows the variation of temperature at inlet and outlet of drying chamber with drying time.
International Journal of Photoenergy For the SA-FBDIBF, the temperatures at inlet and outlet of drying chamber were recorded in the range of 77.9 ∘ C-83.8 ∘ C and 45.9 ∘ C-67.3 ∘ C, with average values of 80.3 ∘ C and 59.8 ∘ C, respectively, whereas, for the SAHP-FBDIBF, the temperatures at inlet and outlet of the drying chamber were recorded in the range of 78.9 ∘ C-81.6 ∘ C and 50.9 ∘ C-67.9 ∘ C, with average values of 80.9 ∘ C and 61.4 ∘ C, respectively.Figure 14 shows the variation of relative humidity at inlet and outlet of drying chamber with drying time.For the SA-FBDIBF, the relative humidity at inlet and outlet of the drying chamber ranged from 10.85% to 13.12% and 15.7% to 48.3%, with average values of 12.28% and 24.3%, respectively, whereas, for the SAHP-FBDIBF, the relative humidity at inlet and outlet of the drying chamber ranged from 6.91% to 8.74% and 17.8% to 53.2%, with average values of 8.14% and 27.5%, respectively.As seen from Figures 13 and 14 the temperature and relative humidity at outlet of drying chamber increased and decreased with increasing in drying time.These, due to the heat transfer coefficient and the mass transfer coefficient,  decreased in the drying time.Also, as seen from Figures 13 and 14 the temperature at outlet (leaving) of the drying chamber is high and the relative humidity outlet (leaving) of the drying chamber is low, and it is potential for recirculating to dry the paddy.The variations of mass change and moisture content of paddy with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figures 15 and 16. Figure 15 shows the variation of mass change of paddy with drying time for SAHP-FBDIBF and SA-FBDIBF.The SA-FBDIBF reduced the mass of paddy from 11 kg to 9.51 kg under an air mass flow rate of 0.1037 kg/s, with average temperature and relative humidity which were 80.3 ∘ C and 12.28% within 35 minutes whereas the SAHP-FBDIBF reduced the mass of paddy from 11 kg to 9.25 kg with average temperature and relative humidity which were 80.9 ∘ C and 8.14% in the same period.Figure 16 shows the variation of moisture content of paddy with drying time for SAHP-FBDIBF and SA-FBDIBF.The moisture content of paddy in the SA-FBDIBF was reduced from 32.85% dry basis to 14.8557% dry basis within 35 minutes whereas the moisture content of paddy in the SAHP-FBDIBF was reduced from 32.85% dry basis to 11.727% dry basis in the same period.As seen from Figures 15 and 16 in order to secure longterm storage and milling, the moisture content of paddy only needs to be reduced to 16.292% dry basis (14% wet basis; 9.6 kg).At the level of this moisture content the SA-FBDIBF and SAHP-FBDIBF required 29.73 minutes and 22.95 minutes, respectively.The SAHP-FBDIBF had a shorter drying time compared to the SA-FBDIBF.In other words, the SAHP-FBDIBF reduced the drying time 22.81% compared to the SA-FBDIBF.This, due to its moisture content transfer rate, is higher than the SA-FBDIBF, and this caused by the difference in the partial vapour pressure between paddy and the drying air obtained in the SAHP-FBDIBF is higher than in the SA-FBDIBF.This difference value is very dependent on the drying air relative humidity, when drying air relative humidity is low; the difference in the partial vapour pressure between paddy and the drying air is also high and vice versa.
The variations of drying rate with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figure 17.The drying rate of paddy was calculated in the range of 0.022 kg/minute-0.068kg/minute and 0.027 kg/minute-0.083kg/minute, with average values of 0.043 kg/minute and 0.050 kg/minute for SA-FBDIBF and SAHP-FBDIBF, respectively.As seen from Figure 17 the drying rate decreased with increase in drying time.This, due to the evaporation rate of moisture, decreased in the drying time.
The variations of SEC with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figure 18.The SEC ranged from 3.226 kWh/kg to 8.798 kWh/kg for SA-FBDIBF and from 2.502 kWh/kg to 7.615 kWh/kg for SAHP-FBDIBF, with average values of 5.454 kWh/kg and 4.763 kWh/kg, respectively.As seen from Figure 18 the SEC increased with increase in drying time.
The variations of STEC and SEEC with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figures 19 and 20. Figure 19 shows the variation of STEC with drying time for SAHP-FBDIBF and SA-FBDIBF.The STEC was calculated in the range of 1.434 kWh/kg-4.427kWh/kg and 0.978 kWh/kg-3.029kWh/kg, with average values of 2.579 kWh/kg and 1.864 kWh/kg for SA-FBDIBF and SAHP-FBDIBF, respectively.Figure 20 shows the variation of SEEC with drying time for SAHP-FBDIBF and SA-FBDIBF.The SEEC was calculated in the range of 1.005 kWh/kg-3.106kWh/kg and 0.898 kWh/kg-2.781kWh/kg, with average values of 1.809 kWh/kg and 1.712 kWh/kg for SA-FBDIBF and SAHP-FBDIBF, respectively.As seen from Figures 19 and  20 the STEC and SEEC increased with increase in drying time.
The variations of SMER and dryer thermal efficiency with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figures 21 and 22. Figure 21 shows the variations of SMER with drying time for SAHP-FBDIBF and SA-FBDIBF.The SMER ranged from 0.124 kg/kWh to 0.310 kg/kWh and 0.131 kg/kWh to 0.399 kg/kWh, with average values of 0.204 kg/kWh and 0.241 kg/kWh for SA-FBDIBF and SAHP-FBDIBF, respectively.Figure 22 shows the dryer thermal efficiency with drying time for SAHP-FBDIBF and SA-FBDIBF.The dryer thermal efficiencies ranged from 7.29% to 19.88% and 8.42% to 25.63%, with average values of 12.28% and 15.44% for SA-FBDIBF and SAHP-FBDIBF, respectively.
The variations of pickup efficiency with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figure 23.The pickup efficiencies were calculated in the range of 20.55%-62.08% and 23.69%-73.40%,with average values of 33.55% and 43.84% for SA-FBDIBF and SAHP-FBDIBF, respectively.As seen from Figure 23 the pickup efficiency of the SAHP-FBDIBF is higher than the SA-FBDIBF.This, due to the evaporation rate of moisture in the SAHP-FBDIBF, is higher than the SA-FBDIBF.
The variations of the energy fraction with drying time for SAHP-FBDIBF and SA-FBDIBF are shown in Figure 24.The solar fraction by the solar energy ranged from 7.2% to 16.2% for SA-FBDIBF and from 9.4% to 11.7% for SAHP-FBDIBF, with average values of 10.9% and 10.6%, respectively.The biomass fraction by the biomass energy ranged from 31.6% to 43.6% for SA-FBDIBF and from 27.8% to 31.7% for SAHP-FBDIBF, with average values of 36.6% and 30.4%, respectively.
Table 3 shows a summary of the experimental results for drying of paddy by using the SA-FBDIBF and SAHP-FBDIBF.The results revealed the SAHP-FBDIBF is better than the SA-FBDIBF.This, due to the drying rate, SMER, thermal efficiency of dryer, and pickup efficiency, is higher than the SA-FBDIBF.The variations of dimensionless moisture content data of dried paddy in a SAHP-FBDIBF and a SA-FBDIBF with drying time are shown in Figure 25.The dimensionless moisture content of paddy reduced exponentially as the drying time increased.Continuous decreasing in dimensionless moisture content indicates that diffusion has governed the internal mass transfer.As seen from Figure 25 the reduction of moisture content of paddy dried using SAHP-FBDIBF is faster than the SA-FBDIBF; this due to the air drying relative humidity is lower than the SA-FBDIBF.At low relative humidity, the difference in partial vapour pressure between paddy and the air drying is high; thereby the acceleration of moisture migration is also high.
The dimensionless moisture content data of dried paddy in a SAHP-FBDIBF and a SA-FBDIBF were fitted in three drying models such as the Newton model, Henderson-Pabis model, and the Page model.The regression constant, the values of the coefficient of determination ( 2 ), the mean bias error (MBE), and the root mean-square error (RMSE) for these drying models are given in Table 4.It can be observed in Table 4 that the Page model fitted best with the experimental data compared to the Newton and Henderson-Pabis drying models; this due to the values of  2 is higher, and MBE and RMSE are lower than the Newton and Henderson-Pabis drying models.Page model for drying of paddy using a SAHP-FBDIBF gave  2 = 0.9998, MBE = 0.0000093, and RMSE = 0.00305.Meanwhile, Page model for drying of paddy using a SA-FBDIBF gave  2 = 0.9996, MBE = 0.0000145, and RMSE = 0.00381.
The plots of the experimental dimensionless moisture content (MR) with predicted dimensionless moisture content (MR) from the Page models for SA-FBDIBF and SAHP-FBDIBF are shown in Figures 26 and 27 The variations of drying rate with dimensionless moisture content of dried paddy in a SAHP-FBDIBF and a SA-FBDIBF are shown in Figure 28.Drying of paddy occurred in falling rate period; constant drying rate period was not found.During the falling rate period, the drying rate decreased  continuously with decreasing dimensionless moisture content and increasing drying time.These are similar results as the observation of earlier researcher [44].From the curve of drying rate with dimensionless moisture content of paddy, the regression equations are as follows.For SA-FBDIBF, DR = 0.1533 + 0.0651 ln (MR) ;  2 = 0.966.

Conclusion
The performances of a solar assisted fluidized bed dryer integrated biomass furnace (SA-FBDIBF) and a solar assisted heat pump fluidized bed dryer integrated biomass furnace (SAHP-FBDIBF) for drying of paddy have been evaluated, and also drying kinetics of paddy were evaluated.The SA-FBDIBF and the SAHP-FBDIBF were used to dry paddy from 11 kg with moisture content of 32.85% db to moisture content of 16.29% db (14% wb) under an air mass flow rate of 0.1037 kg/s within 29.73 minutes and 22.95 minutes, with average temperatures and relative humidities of 80.3 ∘ C and 80.9 ∘ C and 12.28% and 8.14%, respectively.The collector efficiencies and biomass furnace efficiencies were calculated with average values of 58.20% and 50.51%, and 75.57% and 77.49% for SA-FBDIBF and SAHP-FBDIBF, respectively.The average COP of the heat pump was calculated on an average of

Figure 1 :Figure 2 :
Figure 1: Photograph of the solar assisted heat pump fluidized bed dryer integrated biomass furnace.

Figure 3 :Figure 4 :
Figure 3: Dimensions of evaporator and condenser of heat pump.

2 )Figure 9 :
Figure 9: The variation of solar radiation and efficiency of collector with drying time.

TFigure 12 :TFigure 13 :
Figure 12: The variation of temperature and efficiency of biomass furnace with drying time.

Figure 14 :
Figure 14: The variation of relative humidity with drying time.

Figure 15 :
Figure 15: The variation of mass change with drying time.

Figure 16 :Figure 17 :
Figure 16: The variation of moisture content with drying time.

Figure 18 :Figure 19 :
Figure 18: The variation of SEC with drying time.

Figure 20 :Figure 21 :
Figure 20: The variation of SEEC with drying time.

Figure 22 :Figure 23 :
Figure 22: The variation of thermal efficiency with drying time.

Figure 24 :
Figure 24: The variation of the energy fraction with drying time.

Figure 25 :
Figure 25: The variation of dimensionless moisture content with drying time.
. The data indicate the suitability of the developed model to describe the drying behaviour of paddy.

Figure 26 :Figure 27 :
Figure 26: Comparison of experimental dimensionless moisture content (MR) with predicted dimensionless moisture content (MR) from the Page model for the SA-FBDIBF for drying of paddy.

Figure 28 :
Figure 28: The variation of drying rate with moisture content dry basis.

Table 2 :
Uncertainties of the parameters during drying experiment of paddy.

Table 3 :
Performance evaluation of the SA-FBDIBF and SAHP-FBDIBF for drying of paddy.

Table 4 :
Statistical results mathematical modelling of drying curves.