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Heat transfer and fluid flow characteristics investigation using detached ribs in an axisymmetric impinging jet flow

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Abstract

This research work is directly concerned with the heat transfer involved in a single jet flow covering a heated surface having detached ribs present above the surface. A computational study has been conducted to check the effect due to the presence of such detached ribs. The generalized \(k - \omega\) (GEKO) turbulence model with Reynolds-averaged Navier–Stokes equations formulation has been adopted after validation with the relevant experimental data from the literature. A rectangular rib design was selected for which rib width, height, clearance, pitch and first rib radial distance were varied to study their effect on heat transfer. Local heat transfer distributions were investigated over the target surface, especially focusing on the ribs-based region for different nozzle positions. The thermal performance with and without ribs is compared. A maximum increase in heat transfer of 64% was observed for a normalized nozzle to plate spacing \(z/d\) = 0.5.

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Abbreviations

\(A\) :

Hydraulic area of flow in mm2

\(c\) :

Clearance between the ribs and the impingement wall in millimeters

\(c_{{\text{P}}}\) :

Specific heat capacity in J kg−1 K−1

\(d\) :

Nozzle diameter (hydraulic diameter) in millimeters

\(e\) :

Height of rib in millimeters

\(h\) :

Convective heat transfer coefficient in W m−2 K−1

\(I\) :

Turbulence intensity (%)

\(k\) :

Turbulent kinetic energy in J kg−1

\(l\) :

Nozzle length in millimeters

\(L\) :

Length of the impingement plate in millimeters

\(\dot{m}\) :

Mass flow rate of fluid in kg s−1

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

Local Nusselt number

\({\text{Nu}}_{{{\text{avg}}}}\) :

Average Nusselt number

\({\text{Nu}}_{{{\text{avg}}){\text{o}}}}\) :

Average Nusselt number for smooth flow

\(P\) :

Production of energy

\(p\) :

Pitch distance between ribs in millimeters

\(q\) :

Heat flux in W m−2

\(Q\) :

Flow rate in m3 s−1

\(r\) :

Radial distance from stagnation point in millimeters

\(r_{1}\) :

First rib radial distance from the nozzle axis in millimeters

\({\text{Re}}\) :

Reynolds number

\(S\) :

Strain rate tensor

\(T_{{\text{j}}}\) :

Air jet temperature in Kelvins

\(T_{{\text{r}}}\) :

Temperature of the target plate at given radial location in Kelvins

\(u\) :

Axial velocity component in m s−1

\(u^{\prime }\) :

Fluctuating velocity component in axial direction in m s−1

\(v\) :

Fluid velocity component in radial direction in m s−1

\(\nu^{\prime }\) :

Fluctuating velocity component in radial direction in m s−1

\(w\) :

Width of rib in millimeters

\(x\) :

Distance from the stagnation point in the axial direction in millimeters

\(y\) :

Perpendicular distance from the stagnation point along the length of the impingement plate in millimeters

\(z\) :

Nozzle–plate spacing in millimeters

\(\omega\) :

Specific turbulent energy dissipation rate in s−1

\(\lambda\) :

Thermal conductivity in W m−1 K−1

\(\mu\) :

Dynamic viscosity in kg m−1 s−1

\(\nu\) :

Kinematic viscosity of fluid in m2 s−1

\(\rho\) :

Fluid density as defined by ideal gas law in kg m−3

\(\tau\) :

Shear stress in N m−2

\(\Omega\) :

Vorticity in s−1

′ :

Fluctuation of quantity

\({\text{avg}}\) :

Average

\({\text{i}}\) :

Component in x-direction

\({\text{j}}\) :

Jet

\({\text{k}}\) :

Kinetic energy

\({\text{NW}}\) :

Near wall

\({\text{o}}\) :

For smooth flow

\({\text{p}}\) :

Constant pressure

\({\text{sep}}\) :

Separation

CFD:

Computational fluid dynamics

GEKO:

Generalized k–omega

LES:

Large eddy simulation

PIV:

Particle image velocimetry

RANS:

Reynolds-averaged Navier–Stokes

SST:

Shear stress transport

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Acknowledgements

The authors want to express their gratitude to the IMME, Khwaja Fareed University of Engineering and Information, to Rahim Yar Khan, for providing the software package, and to NED University of Engineering and Technology, Karachi, for providing the opportunity to work in this particular field of research.

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Authors and Affiliations

  1. Institute of Mechanical & Manufacturing Engineering, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, 64200, Pakistan

    Adnan Rasheed & Yasir H. Siddiqui

  2. Department of Mechanical Engineering, NED University of Engineering and Technology, Karachi, 75270, Pakistan

    Adnan Rasheed, Usman Allauddin & Muhammad Uzair

  3. Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Hafiz Muhammad Ali

  4. Energy and Power, School of Water, Energy and Environment, Cranfield University, Cranfield, MK43 0AL, UK

    Patrick G. Verdin

  5. Interdisciplinary Research Center for Renewable Energy and Power Systems (IRC-REPS), King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Hafiz Muhammad Ali

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  1. Adnan Rasheed
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Rasheed, A., Allauddin, U., Ali, H.M. et al. Heat transfer and fluid flow characteristics investigation using detached ribs in an axisymmetric impinging jet flow. J Therm Anal Calorim 147, 14517–14537 (2022). https://doi.org/10.1007/s10973-022-11640-w

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