Conjugate mixed-convection from thermal sources in a rectangular cavity

E. Papanicolaou, Y. Jaluria

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations


The mixed convection due to an isolated, constant heat input source located within a rectangular enclosure, is studied numerically. An external flow enters the enclosure through an opening in the left vertical wall and exits from another opening located on the right vertical wall. This configuration leads to a conjugate heat transfer problem and simulates the air cooling of electronic components. Various parameters arise in this problem, particularly the Reynolds number, the buoyancy parameter Gr/Re2, the ratio of the thermal conductivity of the wall material over that of the fluid taken as air, and also several geometry parameters. The time-dependent continuity and Navier-Stokes equations are transformed into a system of equations with the stream function and the vorticity as the dependent variables. The energy equation is solved over the entire domain, using the corresponding properties for the solid and fluid regions. The control volume approach is employed in order to discrete the governing equations for their numerical solution. A time marching procedure is followed, until the steady-state is reached. Results are presented for different values of the buoyancy parameter in the laminar regime and the critical value of Gr/Re2, i.e. the highest value that leads to a convergent steady solution, is determined. Oscillatory results characterized by a single frequency were observed as this value was exceeded, up to a point where the oscillation showed irregular patterns, indicating that the flow was approaching the turbulent regime. Of particular interest here is the heat transfer, form the heat source to the fluid and from all the inner walls (solid-fluid interfaces) to the fluid, expressed in terms of the corresponding Nusselt numbers.

Original languageEnglish (US)
Pages (from-to)29-40
Number of pages12
JournalAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
StatePublished - 1990
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Dallas, TX, USA
Duration: Nov 25 1990Nov 30 1990

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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