An analysis is made on the influence of heat transfer and interfacial shear on the hydrodynamic stability of thin liquid films flowing down an inclined plane. The linear stability of the flow is determined by a successive perturbation solution of the governing Orr-Sommerfeld equation modified to include the effects of temperature on viscosity. Stability criteria are presented which show that a cooled wall is destabilizing, while a heated wall is stabilizing. The surface perturbation stresses of the concurrent gas shear are also shown to be destabilizing factors. Neutral stability curves are presented and compared with the isothermal case.
SCOPEFalling films are usually employed as a heat or mass exchange medium in industrial equipment such as vertical condensers, film evaporators, and absorption towers. Since surface waves appear at small Reynolds numbers for film flow and enhance the momentum, heat, and mass transfer rates considerably over those predicted for smooth laminar flow, it is often desirable, for process design and prediction purposes, to be able to assess a priori the critical conditions under which waves will appear and to study the stability chracteristics of these liquid films under various operating conditions. The hydrodynamic stability
An analysis is made on the influence of heat transfer and interfacial shear on the hydrodynamic stability of thin liquid films flowing down an inclined plane. The linear stability of the flow is determined by a successive perturbation solution of the governing Orr-Sommerfeld equation modified to include the effects of temperature on viscosity. Stability criteria are presented which show that a cooled wall is destabilizing, while a heated wall is stabilizing. The surface perturbation stresses of the concurrent gas shear are also shown to be destabilizing factors. Neutral stability curves are presented and compared with the isothermal case.
SCOPEFalling films are usually employed as a heat or mass exchange medium in industrial equipment such as vertical condensers, film evaporators, and absorption towers. Since surface waves appear at small Reynolds numbers for film flow and enhance the momentum, heat, and mass transfer rates considerably over those predicted for smooth laminar flow, it is often desirable, for process design and prediction purposes, to be able to assess a priori the critical conditions under which waves will appear and to study the stability chracteristics of these liquid films under various operating conditions. The hydrodynamic stability
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