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Effect of Ribs Configurations on Heat Transfer Enhancement for W-Shaped Ribs in a Square Duct

  • Research Article-Mechanical Engineering
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Abstract

In this research, three W-shaped ribs are taken to analyze their influence on the heat transfer rate in the internal cooling of a gas turbine blade at constant e/Dh (0.037) and heat flux. The ribs are located on rectangular channels in a square duct, and the experiments are conducted for low Reynolds numbers (12,000–20,000). The influence of Reynolds number, pitch ratios (4.28, 5.71, and 7.14), rib shape, and rib angle (45°, 50°, and 55°) on the area-averaged heat transfer, friction factor, and thermal performance is analyzed. The experimental values of the Nusselt number and friction factor obtained from the smooth channel fit well with Dittus–Boelter and Blasius correlations. The Nusselt number increases with an increase in pitch ratio. The friction factor decreases by 3.5, 5.3, and 7.1 times for the W rib turbulator as the rib angle increases compared with the smooth channel. The present work reveals higher thermal performance than other studies based on ribs dimension, shape, pressure drop, frictional losses, and Reynolds number (12,000–20,000). Accordingly, using these geometric parameters, a new correlation of Nusselt number and friction factor is developed and compared with the experimental results. The Nusselt number and friction factor deviation were ± 6% and ± 11%, respectively.

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Abbreviations

GT :

Gas turbine

Re:

Reynolds number

Pr:

Prandtl number

C p :

Specific heat of the air (KJ/kg k)

f :

Friction factor of the test surface of WRTs

f o :

Friction factor of the test surface of a smooth channel

L :

Length of the test surface (m)

m :

Mass flow rate of air (kg/s2)

Nu:

Nusselt number of the test surface of WRTs

Nuo :

Nusselt number of the test surface of a smooth channel

T ai :

Air temp at the inlet of the duct (°K)

T ae :

Air temp at the exit of the duct (°K)

T lm/LMTD:

Logarithmic mean temperature difference (°K) for airflow through the square duct.

T s :

Mean test surface temperature of the ribbed channel (°K).

V air :

Velocity of the air through the square duct (m/s)

P :

Pressure (N/m2)

WRTs:

W-shaped rib turbulators

e :

Height of the rib (m)

P :

Pitch of the rib (m)

W :

Width of the rib (m)

HTC:

Heat transfer coefficient (W/m2 °K)

Dia.:

Diameter (m)

SSFF:

Scaled surface forward flow

SSBF:

Scaled surface backward flow

µ :

Kinematic viscosity (m2/s)

ρ :

Density of water and air (kgm−3)

α :

Rib angle (°)

h :

Hydraulic

a i :

Air inlet

a e :

Air exit

lm:

Logarithmic mean

s:

Surface

expt:

Experimental

o :

Smooth channel

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Acknowledgements

The experimental studies were conducted at Applied Thermodynamics Laboratory-I, AGTI's Dr. Daulatrao Aher College of Engineering Karad, Maharashtra, India, and Phase Change Heat transfer Laboratory, National Institute of Technology Agartala, Tripura, India. The authors gratefully acknowledge the Institute's authority for their support in carrying out this research work.

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Authors and Affiliations

  1. Mechanical Engineering Department, G H Raisoni College of Engineering and Management, Pune, Maharashtra, 412207, India

    Sameer Sheshrao Gajghate

  2. Mechanical Engineering Department, AGTI’s Dr. Daulatrao Aher College of Engineering Karad, Dist. Satara, Maharashtra, 415124, India

    Sameer Sheshrao Gajghate, Onkar Prakash Deshpande, Amit Uttam Desai, Akshay Dilip Deshmukh & Shrikant Uttam Kharade

  3. Mechanical Engineering, National Institute of Technology Agartala, Agartala, Tripura, 799046, India

    Sagnik Pal & Swapan Bhaumik

  4. UNESP - São Paulo State University, Campus of Ilha Solteira, Av. Brasil 56, Ilha Solteira, SP, 15385-000, Brazil

    Elaine Maria Cardoso

  5. UNESP - São Paulo State University, Campus of São João da Boa Vista, São João Da Boa Vista, Brazil

    Elaine Maria Cardoso

  6. International Institute for Carbon-Neutral Energy Research (WPI-I2CNER), Kyushu University, Fukuoka, 819-0385, Japan

    Bidyut Baran Saha

  7. Mechanical Engineering Department, Kyushu University, 744 Motooka, Nishiku, Fukuoka, 819-0385, Japan

    Bidyut Baran Saha

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  1. Sameer Sheshrao Gajghate
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Correspondence to Sameer Sheshrao Gajghate.

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Gajghate, S.S., Deshpande, O.P., Desai, A.U. et al. Effect of Ribs Configurations on Heat Transfer Enhancement for W-Shaped Ribs in a Square Duct. Arab J Sci Eng 48, 12141–12160 (2023). https://doi.org/10.1007/s13369-023-07662-7

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