An incompressible liquid of density p and viscosity u flows in a thin film down a glass plate inclined at an angle to the horizontal. The thickness a of the fluid film normal to the plate is constant, the velocity is everywhere parallel to the plate, and the flow is 2-D and steady. Neglect viscous shear between the air and the moving liquid at free surface. Determine the variation in longitudinal velocity in the direction normal to the plate.

An incompressible liquid of density p and viscosity u flows in a thin film down a glass plate inclined at an angle to the horizontal. The thickness a of the fluid film normal to the plate is constant, the velocity is everywhere parallel to the plate, and the flow is 2-D and steady. Neglect viscous shear between the air and the moving liquid at free surface. Determine the variation in longitudinal velocity in the direction normal to the plate.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter7: Seepage

Section: Chapter Questions

Problem 7.1P

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