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Energetic and exergetic assessment of two- and three-stage spray drying units for milk processing industry

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A Correction to this article was published on 09 September 2021

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Abstract

In order to avoid perishable characteristics and secure long shelf life of liquid milk, it is mostly converted into more stable derivatives such as butter, cheese, yogurt and milk powder. Amongst them, milk powder contains highest shelf life at ambient conditions and accounts for 76% of global annual trade of milk and milk derivatives. The milk powder production and its qualitative features are often characterized by huge amount of high- and low-grade energy requirements depending upon the number of stages employed for drying, e.g. single, two or three. In the present work, comparative thermodynamic analysis of two- and three-stage milk drying units has been executed. Both the units have been extensively explored on the grounds of parameters such as exergy efficiency (72.01%/43.67%), drying efficiency (67.50%/65.71%), drying chamber efficiency (57.77%/53.51%), exhaust air temperature (346.15 K/353.15 K), overall specific exergy destruction (3081.64 kJ/kg/5006.28 kJ/kg), overall specific exergy consumption (0.74 kWh/kg/1.34 kWh/kg) and sustainability indices (3.57/1.78) so as to establish the fact that the thermodynamic behaviour of two-stage spray dryer was far better than its three-stage counterpart, at the cost of slightly higher specific steam consumption (3.53 kg/kg/2.77 kg/kg).

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Abbreviations

\(C_{p}\) (J/kg K):

Specific heat at constant pressure

\(C_{pa}\) (J/kg K):

Specific heat of air

\(C_{pv}\) (J/kg K):

Specific heat of vapour

\(e_{a}\) (J/kg):

Specific energy of air

\(E_{f,k}\) (W):

Energetic factor for kth component

\(\dot{E}_{L,k}\) (W):

Energy loss for kth component

\(\dot{E}_{{{\text{in}},k}}\) (W):

Input energy flow rate for kth component

\(\dot{E}_{{{\text{IP}},k}}\) (W):

Energy improvement potential rate for kth component

\(\dot{E}_{{{\text{out}},k}}\) (W):

Output energy flow rate for kth component

\({\dot{\text{E}}\text{x}}\) (W):

Exergy rate

\({\text{ex}}_{{{\text{ch}}}}\) (J/kg):

Chemical specific exergy

\({\text{ex}}_{{{\text{ph}}}}\) (J/kg):

Physical specific exergy

\({\dot{\text{E}}\text{x}}_{D,k}\) (W):

Exergy destruction rate for kth component

\({\dot{\text{E}}\text{x}}_{{{\text{in}},k}}\) (W):

Input exergy flow rate for kth component

\({\dot{\text{E}}\text{x}}_{{{\text{IP}}}}\) (W):

Exergy improvement potential rate for kth component

\({\dot{\text{E}}\text{x}}_{{{\text{out}},k}}\) (W):

Output exergy flow rate for kth component

\({\text{Ex}}_{f,k}\) (W):

Exergetic factor for kth component

\(E_{\beta ,k}\) (W):

Relative irreversibility factor for kth component

\(E_{\beta ,k}\) (W):

Relative energy destruction ratio for kth component

\(h_{fg}\) (J/kg):

Latent heat of vaporization

\(\dot{m}\) (kg/s):

Mass flow rate

\(M_{a}\) (kg/mol):

Molecular mass of air

\(M_{w}\) (kg/mol):

Molecular mass of water

\(n\) :

Number of moles

\(P\) (N/m2):

Pressure

\(P_{0}\) (N/m2):

Ambient pressure

\(R\) (J/mol K):

Universal gas constant

\({\text{SI}}\) :

Sustainability index

\(T\) (K):

Temperature

\(T_{0}\) (K):

Ambient temperature

\(v\)(m3/kg):

Specific volume

\({\text{Vel}}_{a}\) (m/s):

Velocity of air

\(x_{i}\) :

Mole fraction at ith state

\(\omega\) (kg/kg):

Absolute humidity

\(\omega_{s}\) (kg/kg):

Absolute humidity at saturated vapour pressure

\(\eta_{k}\) (%):

Energy efficiency for kth component

\(\eta_{P}\)(%):

Energy efficiency of plant

\(\psi_{P}\)(%):

Exergy efficiency of plant

\(\psi_{k}\)(%):

Exergy efficiency for kth component

\(\varepsilon_{i}\) (kJ/mol):

Standard chemical exergy at ith state

IFB:

Integrated fluidized bed

MT:

Metric tonnes

MF:

Milk fat

MDP:

Madhu Dairy Plant

SSSD:

Single-stage spray dryer

TSSD:

Two-stage spray dryer

THSSD:

Three-stage spray dryer

TPD:

Tons per day

VFB:

Vibro-fluidized bed

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Acknowledgements

The authors would like appreciate the technical-cum-non-technical assistance extended to us by the authorities of National Dairy Research Institute (NDRI, Karnal) and Madhu Dairy Plant (MDP, Pehowa), Haryana (India), throughout the assessment phase in order to accomplish the titled objectives.

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Correspondence to V. V. Tyagi.

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Singh, G., Tyagi, V.V., Chopra, K. et al. Energetic and exergetic assessment of two- and three-stage spray drying units for milk processing industry. J Braz. Soc. Mech. Sci. Eng. 43, 359 (2021). https://doi.org/10.1007/s40430-021-03015-3

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