Approximate solution of the internal problem for a turbulent boundary layer

Dorfman, A. Sh.; Lipovetskaya, O. D.

doi:10.1007/bf00828005

Cited by 1 publication

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“…Mathematically the forced convection heat transfer problem is an initial and boundary value problem. Thus, if the flow field is given, the heat transfer characteristics are determined by the thermal boundary conditions; in fact, the effects of the thermal boundary condition for a flat plate or a blade can generally be evaluated by employing the boundary layer approximation [1][2][3]. However, the thermal boundary conditions employed in most previous studies, except for the simple cases mentioned above, were limited to an isothermal or a uniform heat flux condition.…”

Section: Introductionmentioning

confidence: 99%

Effects of an unsteady thermal boundary condition on forced convection heat transfer

Momose

Kimoto

2002

Heat Trans. Asian Res.

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A numerical analysis based on adjoint formulation of unsteady forced convection heat transfer is proposed to generally evaluate effects of the thermal boundary condition on the heat transfer characteristics. A numerical solution of the adjoint problem enables us to predict the heat transfer characteristics, such as the total heat transfer rate or the temperature at a specific location, when the thermal boundary conditions change arbitrarily with time. Moreover, using the numerical solution of the adjoint problem, we can obtain the optimal thermal boundary conditions in both time and space to maximize the heat transfer at any arbitrary time. Numerical solutions of the adjoint problem in a lid-driven cavity are presented to illustrate the capability of the present method.

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Section: Introductionmentioning

confidence: 99%