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Experimental investigation on the comparison of fenugreek drying in an indirect solar dryer and under open sun

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Abstract

The convective heat transfer coefficient is an essential parameter for designing of any solar drying system. In this paper heat transfer modeling in term of convective heat transfer coefficient is performed and compared with open sun drying. The data obtained from experimentation under open sun and indirect solar drying conditions have been used to find values of the experimental constant ‘C’ and exponent ‘n’ by regression analysis and, consequently, convective heat transfer coefficient. From this study it is concluded that the convective heat transfer coefficient is decreasing with drying time it is due to decrease in moisture content. Results also showed that convective heat transfer coefficients are more in indirect solar dryer system than under open sun drying.

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Abbreviations

A t :

Area of tray (m2)

C 0 :

Constant in straight line equation

C :

Experimental constant

DR :

Drying rate (kg/h)

g:

Acceleration due to gravity (m/s2)

Gr :

Grashof number \(\left( {\frac{{g\beta X^{3} \rho^{2} \varDelta T}}{{\mu^{2} }}} \right)\)

h c :

Convective heat transfer coefficient (W/m2 °C)

K h :

Thermal conductivity of the humid air (W/m  °C) \(\left( {\frac{\mu C}{{K_{h} }}} \right)\)

m:

Tangent slope in straight line equation

M ev :

Moisture evaporated (kg)

n :

Exponent

Nu :

Nusselt number

P(T M ):

Partial vapour pressure of air at the crop surface (N/m2)

P(T e ):

Partial vapour pressure of air at just above the crop surface (N/m2)

Pr natural :

Prandtl number for natural circulation

Pr forced :

Prandtl number for forced circulation

Re :

Reynolds number \(\left( {\frac{vx}{\nu }} \right)\)

Qe :

Rate of heat utilized (J/m2s)

T :

Effective temperature difference (°C)

T :

Time (s)

Tc-1,2,3:

Temperature of crop on first, second and third tray

T e :

Temperature at just above the crop surface (°C)

T M :

Temperature at the crop surface (°C)

Ti :

Mean temperature of TM and Te (°C)

T-1:

First tray

T-2:

Second tray

T-3:

Third tray

v:

Velocity of air (m/s)

X :

Characteristics length (m)

β :

Expansion factor

γ :

Relative humidity (%)

ʋ :

Kinematic viscosity of humid air (m2/s)

µ :

Viscosity of humid air (NS/m2)

ρ :

Density of humid air (kg/m3)

λ :

Latent heat of vaporization (J/kg)

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Correspondence to Vipin Shrivastava.

Appendix

Appendix

The physical property of humid air such as specific heat (C), thermal conductivity (Kh), dynamic viscosity, density (ρ), Kinematic viscosity (ν) and expansion factor (β) is obtained by using mean value of crop temperature (TM) and air temperature just above the crop (Te) [14, 21]

$$C = 999.2 + 0.1434T_{i} + 1.101 \times 10^{ - 4} + 1.101 \times 10^{ - 4} T_{i}^{2} - 6.7581 \times 10^{ - 8} T_{i}^{3}$$
(15)
$$K_{h} = 0.0244 + 0.7673 \times 10^{ - 4} T_{i}$$
(16)
$$\mu = 1.718 \times 10^{ - 5} + 4.620 \times 10^{ - 8} T_{i}$$
(17)
$$\rho = 353.44/\left( {T_{i} + 273.15pr} \right)$$
(18)
$$\nu = \frac{\mu }{\rho }$$
(19)
$$\beta = 1/(T_{i} + 273)$$
(20)

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Shrivastava, V., Kumar, A. Experimental investigation on the comparison of fenugreek drying in an indirect solar dryer and under open sun. Heat Mass Transfer 52, 1963–1972 (2016). https://doi.org/10.1007/s00231-015-1721-1

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  • DOI: https://doi.org/10.1007/s00231-015-1721-1

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