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Performance study of solar air heater duct with gap in V-rib with symmetrical gap and staggered ribs

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Abstract

Experimental study of SAH duct having absorber plate roughened with gap in V-rib with symmetrical gap and staggered ribs is carried out and effect on Nusselt number (Nu) and friction factor (f) is investigated. Range of parameters for the present study are Reynolds number (Re) of 4000–14,000, ratio of rib pitch to height (P/e) of 12, ratio of rib height to hydraulic diameter (e/Dh) of 0.043, flow angle of attack (α) of 60o, ratio of staggered rib position to pitch (P’/P) of 0.65, ratio of gap width to rib height (g/e) of 4, ratio of staggered rib size to rib height (r/e) of 4, relative gap position of gap in each of symmetrical rib elements (d/w) of 0.65, relative gap width of additional gap in each of symmetrical rib elements (g’/e) of 1 and number of gaps (Ng) of 1, 2, 3 and 4. Maximum augmentation in Nu and f is 2.05 and 3.39 times the smooth plate respectively corresponding to number of gaps (Ng) of 3. Thermo-hydraulic performance parameter (THPP) is also obtained maximum for number of gaps (Ng) of 3. Correlations for heat transfer and friction factor have also been developed. Experimental data is used for validation of mathematical model and is used for prediction of performance of SAH under different operating condition for the roughness considered.

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Abbreviations

Ac :

Smooth and roughened surface area, m2

Cp :

Constant pressure specific heat, KJ/kg-K

Dh :

Hydraulic diameter of duct, m

d:

Additional gap position, m

e:

Rib element height, m

g:

Gap width, m

g’:

Additional gap width, m

G’:

Heat transfer function

H:

Depth of duct, m

h:

Heat transfer coefficient, W/m2-K

k:

Air thermal conductivity, W/m-K

L:

Smooth and roughened surface length, m

Ng :

Number of gaps (Ng)

P:

Pitch, m

P’:

Position of staggered element, m

Q or Qu :

Heat transfer, W

r:

Staggered rib size, m

R:

Roughness function

Ta :

Ambient temperature, oC

Tf :

Average air temperature, oC

Ti :

Temperature of air at inlet, oC

To :

Mean temperature of air at outlet, oC

Tp :

Mean temperature of absorber surface, oC

V:

Velocity of air in the duct, m/s

w:

Vertical length of the symmetrical rib elements, m

W:

Width of the duct, m

e/Dh :

Ratio of rib height to hydraulic diameter, dimensionless

fr :

Roughened surface friction factor, dimensionless

fs :

Smooth surface friction factor, dimensionless

g/e:

Ratio of gap width to rib height, dimensionless

Nur :

Roughened surface Nusselt number, dimensionless

Nus :

Smooth surface Nusselt number, dimensionless

Nur/Nus :

Heat transfer augmentation, dimensionless

p/e:

Ratio of rib pitch to height, dimensionless

P’/P:

Ratio of staggered element position to pitch, dimensionless

Pr:

Prandtl number, dimensionless

Re:

Reynolds number, dimensionless

St:

Stanton number, dimensionless

r/e:

Ratio of staggered element size to rib height, dimensionless

d/w:

Relative gap position of additional gap in each of symmetrical rib elements, dimensionless

g’/e:

Relative gap width of additional gap in each of symmetrical rib elements, dimensionless

∆p:

Pressure drop across the test section (Pa)

α:

Flow angle of attack (o)

ρ:

Density of air (kg/m3)

r:

Rough

s:

Smooth

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Authors and Affiliations

  1. Department of Mechanical Engineering, Maulana Azad National Institute of Technology, Bhopal, Madhya Pradesh, 462003, India

    Sumer Singh Patel & Atul Lanjewar

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  1. Sumer Singh Patel
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  2. Atul Lanjewar
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Correspondence to Sumer Singh Patel.

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Patel, S.S., Lanjewar, A. Performance study of solar air heater duct with gap in V-rib with symmetrical gap and staggered ribs. Heat Mass Transfer 55, 2517–2532 (2019). https://doi.org/10.1007/s00231-019-02592-3

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  • DOI: https://doi.org/10.1007/s00231-019-02592-3

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