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Analysis of thermal and hydraulic performances for flow in a wavy channel with varying amplitude

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Abstract

In this article, thermal–hydraulic performance and entropy generation (EG) characteristics for pressure-driven flow in a wavy channel with linearly varying amplitude (LVA) at the entrance region are computationally investigated. The computational simulations have been conducted for a wide range of Reynolds number 5 ≤ Re ≤ 1000 and normalized entrance length (EL) of LVA 0 ≤ EL ≤ 25.5. The results reveal that the flow field and heat transfer rate for the wavy channel with varying amplitude are remarkably different from those for a wavy channel (WC) with uniform amplitude, and the characteristics can be modulated by varying EL. The reversal of flow takes place in the wavy passages beyond a threshold value of Re, and the number of recirculating zones and the strength of the flow reversal strongly depend on EL. The average Nusselt number for the present WC is more than that of the plane channel (PC) after a critical value of Re only and at Re = 1000, the enhancements in average Nusselt number as compared to the plane channel are 6.91%, 20.67%, 26.37%, and 36.54%, for EL = 25.5, 11.5, 5.5, and 0, respectively. The combined influences of the augmentation in the average Nusselt number and the frictional pressure drop are presented in terms of performance factor (PF), which consistently decreases with the increase in Re for all non-zero EL, and the decrement is steeper for lower Re values. The average total entropy generation (EG) for WC is lower than PC at higher Re values, and the maximum percentage decrease in average total EG for WC compared to PC is achieved for EL = 11.5 at Re = 1000.

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Abbreviations

LVA:

Linearly varying amplitude (m)

PC:

Plane channel ()

WC:

Wavy channel (−)

B :

Constant in Eq. 1 and 2 (−)

Be:

Bejan number (−)

C p :

Specific heat (J kg−1 K−1)

EG:

Entropy generation (W K–1 m–3)

EL:

Dimensionless length of the increasing amplitude region (−)

ER:

Enhancement ratio (−)

k :

Thermal conductivity (W m−1 K−1)

L :

Inlet half height of the channel (m)

n :

Normal to wall (m)

Nu:

Local Nusselt number (−)

\(\overline{{{\text{Nu}}}}\) :

Average Nusselt number (−)

p :

Pressure (Pa)

PD:

Pressure drop (Pa)

PF:

Performance factor (−)

PR:

Pressure drop ratio (−)

Pr:

Prandtl number (−)

q :

Heat flux (W/m2)

Re:

Reynolds number (−)

\(S^{\prime\prime\prime}_{{{\text{Thermal}}}}\) :

Local thermal entropy generation (W K–1 m–3)

\(S^{\prime\prime\prime}_{{{\text{Viscous}}}}\) :

Local viscous entropy generation (W K–1 m–3)

T :

Temperature (K)

u, v :

Velocity components (m s–1)

x, y :

Dimensional axial and transverse coordinates, respectively (m)

\(\beta\) :

Constant in Eq. 1 and 2 (-)

\(\phi\) :

Length of the increasing amplitude region (m)

ρ :

Density (kg m−3)

µ :

Dynamic viscosity (kg m−1 s−1)

avg:

Average

cri:

Critical

w:

Wavy

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar, 788010, India

    Ajit Kumar, Sumit Kumar Mehta & Sukumar Pati

  2. Hindusthan College of Engineering and Technology, Coimbatore, 641032, India

    Mohanraj Murugesan

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  1. Ajit Kumar
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  2. Sumit Kumar Mehta
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Contributions

AK contributed to conceptualization, data curation, formal analysis, investigation, methodology, validation, visualization, and writing—original draft. SKM contributed to conceptualization, data curation, formal analysis, investigation, methodology, validation, visualization, and writing—original draft. SP contributed to conceptualization, formal analysis, project administration, resources, visualization, supervision, and writing—review and editing. MM contributed to formal analysis, visualization,, and writing—review and editing.

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Correspondence to Ajit Kumar.

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Kumar, A., Mehta, S.K., Pati, S. et al. Analysis of thermal and hydraulic performances for flow in a wavy channel with varying amplitude. J Therm Anal Calorim 148, 517–531 (2023). https://doi.org/10.1007/s10973-022-11784-9

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