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Conjugate heat transfer study of a turbulent slot jet impinging on a moving plate

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Abstract

Numerical simulation of the flow field and conjugate heat transfer in an impinging jet with moving impingement plate is one of the important problems as it mimics closely with practical applications in industries. The Yang–Shih version of low Reynolds number k–\(\epsilon\) model has been used to resolve the flow field and the temperature field in a two-dimensional, steady, incompressible, confined, turbulent slot jet impinging normally on a moving flat plate of finite thickness. The turbulence intensity and the Reynolds number considered at the inlet are \(2\,\%\) and 15,000, respectively. The bottom face of the impingement plate has been maintained at a constant temperature higher than the nozzle exit temperature. The confinement plate has been considered to be adiabatic. The nozzle-to-surface spacing for the above study has been taken to be 6 and the surface-to-jet velocity ratios have been taken over a range of 0.25–1. The effects of impingement plate motion on the flow field and temperature field have been discussed elaborately with reference to stationary impingement plate. The dependence of flow field and fluid temperature field on impingement plate motion has been analyzed by plotting streamlines, isotherms for different plate speeds. A thorough study of flow characteristics for different surface-to-jet velocity ratios has been carried out by plotting profiles of mean vertical and horizontal components of velocity, pressure distribution, local shear stress distribution. The isotherms in the impingement plate of finite thickness, the distributions of solid–fluid interface temperature, the local Nusselt number, and the local heat flux for different surface-to-jet velocity ratios added to the understanding of conjugate heat transfer phenomenon.

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Abbreviations

\(G_{n}\) :

Production by shear (Eq. 5)

h,  H :

Dimensional and nondimensional nozzle-to-plate spacings, respectively

\(k, k_{n}\) :

Dimensional and nondimensional turbulent kinetic energies, respectively

\(k_{f}, k_{s}\) :

Thermal conductivities of fluid and solid, respectively

K :

Thermal conductivity ratio of solid-to-fluid, \(\frac{k_{s}}{k_{f}}\)

p :

Static pressure

\(p_{\infty }\) :

Ambient pressure

P :

Nondimensional pressure

Pr:

Prandtl number

\(\text {Pr}_{t}\) :

Turbulent Prandtl number

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

Turbulent Reynolds number, \(\frac{k^{2}}{\nu \tilde{\epsilon }}\)

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

Nondimensional distance, \(\sqrt{k}y/ \nu\)

Re:

Reynolds number, \(\frac{U_{0}w}{\nu }\)

s,  S :

Dimensional and nondimensional solid plate thicknesses, respectively

\(T, \theta\) :

Dimensional and nondimensional temperatures, respectively

\(U_{1}, U_{2}\) :

Nondimensional mean velocities, \(U_{1}=U\) and \(U_{2}=V\) in X and Y directions respectively

\(u_{1}, u_{2}\) :

Dimensional mean velocities, \(u_{1}=u\) and \(u_{2}= v\) in x and y directions respectively

\(U_{0}\) :

Average inlet jet velocity

\(U_{s}\) :

Surface-to-jet velocity ratio

w :

Jet width

\(x_{i}, X_{i}\) :

Dimensional and nondimensional Cartesian coordinates, respectively

\(\tilde{\epsilon }, \tilde{\epsilon }_{n}\) :

Dimensional and nondimensional modified dissipation rates of turbulent kinetic energy, respectively

\(\alpha , \alpha _{t}, \alpha _{t,n}\) :

Laminar, turbulent and nondimensional turbulent thermal diffusivities, respectively

\(\nu , \nu _{t}, \nu _{t,n}\) :

Laminar, turbulent and nondimensional turbulent kinematic viscosities, respectively

\(\rho\) :

Density of fluid

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, 721302, India

    A. Madhusudana Achari & Manab Kumar Das

Authors
  1. A. Madhusudana Achari
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  2. Manab Kumar Das
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Correspondence to Manab Kumar Das.

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Achari, A.M., Das, M.K. Conjugate heat transfer study of a turbulent slot jet impinging on a moving plate. Heat Mass Transfer 53, 1017–1035 (2017). https://doi.org/10.1007/s00231-016-1873-7

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  • DOI: https://doi.org/10.1007/s00231-016-1873-7

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