abstract

• The effect on heat transfer of a potential vortex located near a flat plate is studied analytically. In the formulation of the problem, the velocity field is represented as the superposition of a uniform flow and a secondary velocity field created by a potential line-vortex. The contribution of the line-vortex to the flow field is calculated by means of the Biot-Savart law. The energy equation is solved by considering the secondary velocity to be a small perturbation. Two different vortex configurations are analyzed: transverse and longitudinal vortices. For the transverse vortex, only two terms of the perturbation solution are required to represent the physics of the problem, while up to three terms are necessary for the longitudinal vortex. For both cases, the dominant effects producing the alteration of local heat transfer are the vertical component of the secondary flow and the horizontal displacement of fluids between upwash and downwash regions. In general, an increase of the heat transfer coefficient is observed in downwash regions while a decrease of local heat transfer coefficient corresponds to upwash regions. The horizontal displacement of fluid between upwash and downwash regions is responsible for the increase or decrease of the overall heat transfer coefficient.

authors

• McClain R.L.
• Romero Méndez Ricardo
• Sen M.
• Yang K.T.

publication date

• 1996-01-01

published in

• American Society of Mechanical Engineers (Paper)  Proceedings

keywords

• Equations of state of liquids; Heat convection; Heat transfer coefficients; Perturbation techniques; Potential flow; Thermal effects; Vortex flow; Biot Savart law; Boundary layers

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