Skip to main content

Advertisement

Log in

Simultaneous application of microwave energy and hot air to whole drying process of apple slices: drying kinetics, modeling, temperature profile and energy aspect

  • Original
  • Published:
Heat and Mass Transfer Aims and scope Submit manuscript

Abstract

Drying kinetics, modeling, temperature profile and energy indices were investigated in apple slices during drying by a specially designed microwave-hot air domestic hybrid oven at the following conditions: 120, 150 and 180 W microwave powers coupled with 50, 60 and 70 °C air temperatures. Both sources of energy were applied simultaneously during the whole drying processes. The drying process continued until the moisture content of apple slices reached to 20% from 86.3% (wet basis, w.b). Drying times ranged from 330 to 800 min and decreased with increasing microwave power and air temperatures. The constant rate period was only observed at low microwave powers and air temperatures. Two falling rate periods were observed. Temperature of apple slices sharply increased within the first 60 min, then reached equilibrium with drying medium and finally increased at the end of the drying process. In order to describe drying behavior of apple slices nine empirical models were applied. The Modified Logistic Model fitted the best our experimental data (R 2 = 0.9955–0.9998; χ 2 = 3.46 × 10−5-7.85 × 10−4 and RMSE = 0.0052–0.0221). The effective moisture and thermal diffusivities were calculated by Fick’s second law and ranged from 1.42 × 10−9 to 3.31 × 10−9 m2/s and 7.70 × 10−9 to 12.54 × 10−9 m2/s, respectively. The activation energy (Ea) values were calculated from effective moisture diffusivity (Deff), thermal diffusivity (α) and the rate constant of the best model (k). The Ea values found from these three terms were similar and varied from 13.04 to 33.52 kJ/mol. Energy consumption and specific energy requirement of the hybrid drying of apple slices decreased and energy efficiency of the drying system increased with increasing microwave power and air temperature. Apples can be dried rapidly and effectively by use of the hybrid technique.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

Abbreviations

a, b, c, g, l, n :

Equation constants

α :

Thermal diffusivity (m2/s)

α 0 :

Pre-exponential constant of Arrhenius equation (m2/s)

AOAC:

Association of Official Analytical Chemists

DR:

Drying rate (g water / (g dry matter.min)

D eff :

Effective moisture diffusivity (m2/s)

D 0 :

Pre-exponential constant of Arrhenius equation (m2/s)

E a :

Activation energy (kJ/mol)

E kg,0 :

Specific energy requirement for drying of 1 kg of fresh sample (kWh/kg fw)

E kg,w :

Specific energy requirement for evaporating of 1 kg of water (kWh/kg water)

E t :

Energy consumption (kWh)

fw:

Fresh weight

k :

Drying rate constant of model (1/min)

k 0 :

Pre-exponential constant of Arrhenius equation (1/min)

k DR :

Drying rate constant obtained from falling rate (1/min)

L:

Half thickness of sample (m)

λ w :

The latent heat of vaporization of water (kJ/kg)

M 0 :

Initial moisture content (g water / g dry matter)

M e :

Final moisture content (g water / g dry matter)

M t :

Moisture content at any time (g water / g dry matter)

MR:

Moisture ratio

MR exp,i :

Experimental moisture ratio

MR pre,i :

Predicted moisture ratio

N:

Number of experimental data

η en :

Energy efficiency (%)

R:

Universal gas constant (kJ/mol.K)

R 2 :

Correlation coefficient

RMSE :

Root mean square error

t :

Drying time (min)

T :

Temperature of slab at any time (°C)

T:

Absolute temperature (K)

T 0 :

Initial temperature of slab (°C)

T s :

Temperature of drying chamber (°C)

TR:

Dimensionless temperature ratio

χ2 :

Reduced chi-square

w.b:

Wet basis

W o :

Initial weight of fresh sample (kg)

W o :

Weight of evaporated water (kg)

z:

Number of parameters in the model

References

  1. Kara C, Doymaz İ (2015) Effective moisture diffusivity determination and mathematical modelling of drying curves of apple pomace. Heat Mass Transf 51:983–989

    Article  Google Scholar 

  2. Beigi M (2016) Influence of drying air parameters on mass transfer characteristics of apple slices. Heat Mass Transf 52:2213–2221

    Article  Google Scholar 

  3. Şahin M, Doymaz İ (2017) Estimation of cauliflower mass transfer parameters during convective drying. Heat Mass Transf 53:507–517

    Article  Google Scholar 

  4. Askari GR, Emam-Djomeh Z, Mousavi SM (2009) An investigation of the effects of drying methods and conditions on drying characteristics and quality attributes of agricultural products during hot air and hot air /microwave-assisted dehydration. Dry Technol 27:831–841

    Article  Google Scholar 

  5. Zhang M, Tang J, Mujumdar AS, Wang S (2006) Trends in microwave-related drying of fruits and vegetables. Trends Food Sci Tech 17:524–534

    Article  Google Scholar 

  6. Sham PWY, Scaman CH, Durance TD (2001) Texture of vacuum microwave dehydrated apple chips as affected by calcium treatment, vacuum level, and apple variety. J Food Sci 66:1341–1347

    Article  Google Scholar 

  7. Sunkja PS, Rennie TJ, Beaudry C, Raghavan GVS (2004) Microwave convective and microwave-vacuum drying of cranberries: a comparative study. Dry Technol 22:1217–1231

    Article  Google Scholar 

  8. Andrés A, Bilbao C, Fito P (2004) Drying kinetics of apple cylinders under combined hot air-microwave dehydration. J Food Eng 63:71–78

    Article  Google Scholar 

  9. Varith J, Dijkanarukkul P, Achariyaviriya A, Achariyaviriya S (2007) Combined microwave-hot air drying of peeled longan. J Food Eng 81:459–468

    Article  Google Scholar 

  10. Alibaş İ (2014) Microwave, air and combined microwave-air drying of grape leaves (Vitis vinifera L.) and the determination of some quality properties. Int J Food Eng 10:69–88

    Google Scholar 

  11. İzli N, Işık E (2015) Color and microstructure properties of tomatoes dried by microwave, convective, and microwave-convective methods. Int J Food Prop 18:214–249

    Google Scholar 

  12. Bhattacharya M, Srivastav PP, Mishra HN (2015) Thin-layer modelling of convective and microwave-convective drying of oyster mushroom (Pleurotus ostreatus). J Food Sci Technol 52:2013–2022

    Article  Google Scholar 

  13. Doymaz İ (2017) Drying kinetics, rehydration and colour characteristics of convective hot-air drying of carrot slices. Heat Mass Transf 53:25–35

    Article  Google Scholar 

  14. Torki-Herchagani M, Ghasemi-Varnamkhasni M, Ghanbarian D, Sadeghi M, Tohidi M (2016) Dehydration chracteristics and mathematical modelling lemon slices drying undergoing oven treatment. Heat Mass Transf 52:281–289

    Article  Google Scholar 

  15. AOAC (1995) Official methods of analysis, 16th edn. Association of Official Analytical Chemists, Arlington

    Google Scholar 

  16. Horuz E, Bozkurt B, Karataş H, Maskan M (2017) Drying kinetics of apricot halves in a microwave-hot air hybrid oven. Heat Mass Tranf. https://doi.org/10.1007/s00231-017-1973-z

  17. Salehi F, Kashaninejad M, Jafarianlari A (2016) Drying kinetics and characteristics of combined infrared-vacuum drying of button mushroom slices. Heat Mass Transf doi. https://doi.org/10.1007/s00231-016-1931-1

  18. Demiray E, Tülek Y (2014) Drying characteristics of garlic (Allium sativum L) slices in a convective hot air dryer. Heat Mass Transf 50:779–786

    Article  Google Scholar 

  19. Kavak Akpınar E, Toraman S (2016) Determination of drying kinetics and convective heat transfer coefficients of ginger slices. Heat Mass Transf 52:2271–2281

    Article  Google Scholar 

  20. Aral S, Beşe AV (2016) Convective drying of hawthorn fruit (Crataegus spp.): effect of experimental parameters on drying kinetics, color, shrinkage, and rehydration capacity. Food Chem 210:577–584

    Article  Google Scholar 

  21. Demiray E, Seker A, Tülek Y (2016) Drying kinetics of onion (Allium cepa L.) slices with convective and microwave drying. Heat mass Transf doi: https://doi.org/10.1007/s00231-016-1943-x

  22. Motavali A, Minaei S, Banakar A, Ghobadian B, Darvishi H (2016) Energy analyses and drying kinetics of chamomile leaves in microwave-convective dryer. J Saudi Soc Agr Sci 15:179–187

    Google Scholar 

  23. Zarein M, Samadi SH, Ghobadian B (2015) Investigation of microwave dryer effect on energy efficiency during drying of apple slices. J Saudi Soc Agr Sci 14:4147

    Google Scholar 

  24. Crank J (1975) The mathematics of diffusion. Clarendon Press, Oxford

    MATH  Google Scholar 

  25. Soysal Y, Öztekin S, Eren Ö (2006) Microwave drying of parsley: modelling, kinetics, and energy aspects. Biosyst Eng 93:403–413

    Article  Google Scholar 

  26. Beigi M (2016) Hot air drying of apple slices: dehydration characteristics and quality assessment. Heat Mass Tranf 52:1435–1442

    Article  Google Scholar 

  27. Wang Z, Sun J, Chen F, Liao X, Hu X (2007) Mathematical modelling on thin layer microwave drying of apple pomace with and without hot air pre-drying. J Food Eng 80:536–544

    Article  Google Scholar 

  28. Constant T, Moyne C (1996) Drying with internal generation: theoretical aspects and application to microwave heating. AICHE J 42:359–368

    Article  Google Scholar 

  29. Igual M, Garćia-Martinez E, Martín-Esperza ME, Martínez-Navarrete N (2012) Effect of processing on the drying kinetics and functional value of dried apricot. Food Res Int 47:284–290

    Article  Google Scholar 

  30. Contreras C, Martín-Esperza ME, Chiralt A, Martínez-Navarrete N (2008) Influence of microwave application on convective drying: effects on drying kinetics, and optical and mechanical properties of apple and strawberry. J Food Eng 88:55–64

    Article  Google Scholar 

  31. Velić D, Planinić M, Tomas S, Bilić M (2004) Influence of airflow velocity on kinetics of convection apple drying. J Food Eng 64:97–102

    Article  Google Scholar 

  32. Çelekli A, Bozkurt H (2013) Predictive modeling of an azo metal complex dye sorption by pumpkin husk. Environ Sci Pollut R 20:7355–7366

    Article  Google Scholar 

  33. Doymaz İ (2009) An experimental study on drying of green apples. Dry Technol 27:478–485

    Article  Google Scholar 

  34. Figiel A (2009) Drying kinetics and quality of vacuum-microwave dehydrated garlic gloves and slices. J Food Eng 94:98–104

    Article  Google Scholar 

  35. Drouzas AE, Schubert H (1996) Microwave application in vacuum drying of fruits. J Food Eng 28:203–209

    Article  Google Scholar 

  36. Feng H, Tang J, Cavalieri RP (1999) Combined microwave and spouted bed drying of diced apples: effect of drying conditions on drying kinetics and product temperature. Dry Technol 17:1981–1998

    Article  Google Scholar 

  37. Wang H, Zhang M, Mujumdar AS (2014) Comparison of three new drying methods for drying characteristics and quality of shiitake mushroom (Lentinus edodes). Dry Technol 32:1791–1802

    Article  Google Scholar 

  38. Ahrné LM, Pereira N, Staack N, Floberg P (2007) Microwave convective drying of plant foods at constant and variable microwave power. Dry Technol 25:1149–1153

    Article  Google Scholar 

  39. Zogzas NP, Maroulis ZB, Marinos-Kouris D (1996) Moisture diffusivity data compilation in foodstuff. Dry Technol 14:2225–2253

    Article  Google Scholar 

  40. Kostaropulos AE, Saravacos GD (1997) Thermal diffusivity of granular and porous foods at low moisture content. J Food Eng 33:101–109

    Article  Google Scholar 

  41. Mariani VC, de Lima AGB, Coelho LS (2008) Apparent thermal diffusivity estimation of the banana during drying using inverse method. J Food Eng 85:569–579

    Article  Google Scholar 

  42. Çağlar A, Toğrul Türk I, Toğrul H (2009) Moisture and thermal diffusivity of seedless grape under infrared drying. Food Bioprod Process 87:292–300

    Article  Google Scholar 

  43. Wang Z, Sun J, Liao X, Chen F, Zhao G, Wu J, Hu X (2007) Mathematical modeling on hot air drying of thin layer apple pomace. J Food Eng 40:39–46

    Google Scholar 

  44. Calín-Sanchez Á, Figiel A, Szaryez M, Lech K, Nuncio-Jáuregui N, Carbonell-Barrachina ÁA (2014) Drying kinetics and energy consumption in the dehydration of pomegranate (Punica granatum L.) arils and rind. Food Bioprocess Tech 7:2071–2083

    Article  Google Scholar 

Download references

Acknowledgements

Ministry of Science, Industry and Technology of Republic of Turkey and Arçelik A.Ş.s are acknowledged for the support of the study. E. Horuz also acknowledges TUBITAK-BIDEB (The scientific and Technological Research Council of Turkey) for the national PhD study scholarship.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hüseyin Bozkurt.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Horuz, E., Bozkurt, H., Karataş, H. et al. Simultaneous application of microwave energy and hot air to whole drying process of apple slices: drying kinetics, modeling, temperature profile and energy aspect. Heat Mass Transfer 54, 425–436 (2018). https://doi.org/10.1007/s00231-017-2152-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00231-017-2152-y

Navigation