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Flow structure, heat transfer and pressure drop in varying aspect ratio two-pass rectangular smooth channels

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Abstract

Two-pass channels are used for internal cooling in a number of engineering systems e.g., gas turbines. Fluid travelling through the curved path, experiences pressure and centrifugal forces, that result in pressure driven secondary motion. This motion helps in moving the cold high momentum fluid from the channel core to the side walls and plays a significant role in the heat transfer in the channel bend and outlet pass. The present study investigates using Computational Fluid Dynamics (CFD), the flow structure, heat transfer enhancement and pressure drop in a smooth channel with varying aspect ratio channel at different divider-to-tip wall distances. Numerical simulations are performed in two-pass smooth channel with aspect ratio Win/H = 1:3 at inlet pass and Wout/H = 1:1 at outlet pass for a variety of divider-to-tip wall distances. The results show that with a decrease in aspect ratio of inlet pass of the channel, pressure loss decreases. The divider-to-tip wall distance (Wel) not only influences the pressure drop, but also the heat transfer enhancement at the bend and outlet pass. With an increase in the divider-to-tip wall distance, the areas of enhanced heat transfer shifts from side walls of outlet pass towards the inlet pass. To compromise between heat transfer and pressure drop in the channel, Wel/H = 0.88 is found to be optimum for the channel under study.

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Abbreviations

C:

Specific heat, [J/kg K]

D:

Diameter, [mm]

f:

Friction factor, (2ΔpDh/ρU2L)

h:

Heat transfer coefficient, [W/(m2 K)]

H:

Height of channel, [mm]

k:

Thermal conductivity of the fluid, [W/(m K)]

L:

Length of the channel from the inlet to the outlet, [mm]

Nu :

Nusselt number, (h Dh/k)

p:

Pressure, [N/m2]

Pr :

Prandtl number, (Cpμ/k)

Re :

Reynolds number, (ρUinDh/μ)

T:

Temperature, [K]

U:

Velocity, [m/s]

W:

Width, [mm]

Δ:

Difference

ρ:

Density, [kg/m3]

μ:

Viscosity, [kg/s.m]

avg:

Average

el:

Divider-to-tip wall

in:

Inlet

l:

Kays et al.

out:

Outlet

o:

Dittus-Boelter equation

pe:

Petukhov et al.

st:

Straight channel

web:

Divider wall

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Acknowledgments

The first author acknowledges the financial support from Higher Education Commission (HEC) of Pakistan and the Division of Heat and Power, Department of Energy Technology, KTH Sweden. The support from Swedish Institute (SI) is also appreciated. The authors are thankful to Dr. Esa Utriainen from SIEMENS Industrial Turbomachinery AB, Finspång, Sweden and Professor Emeritus Torsten Strand, KTH, Stockholm Sweden for valuable discussions. This work was supported by grants of computer time from Parallel Computer Center (PDC) at KTH, Stockholm, Sweden.

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Authors and Affiliations

  1. Department of Energy Technology, Royal Institute of Technology (KTH), 100 44, Stockholm, Sweden

    Waseem Siddique, Narmin B. Hushmandi & Torsten H. Fransson

  2. Department of Mechanical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, Pakistan

    Waseem Siddique

  3. Department of Mechanical Engineering, American University in Cairo (AUC), Cairo, Egypt

    Lamyaa El-Gabry

  4. MBtech Group GmbH & Co. KGaA, Salierstr. 38, 70736, Fellbach-Schmiden, Germany

    Igor V. Shevchuk

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  1. Waseem Siddique
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  2. Lamyaa El-Gabry
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  3. Igor V. Shevchuk
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  4. Narmin B. Hushmandi
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Correspondence to Waseem Siddique.

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Siddique, W., El-Gabry, L., Shevchuk, I.V. et al. Flow structure, heat transfer and pressure drop in varying aspect ratio two-pass rectangular smooth channels. Heat Mass Transfer 48, 735–748 (2012). https://doi.org/10.1007/s00231-011-0926-1

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