Practice Problems on Conservation of MassC. Wassgren, Purdue University Page 1 of 23 Last Updated: 2010 Sep 08 COM_01 Construct from first principles an equation for the conservation of mass governing the planar flow (in the xyplane) of a compressible liquid lying on a flat horizontal plane. The depth, h(x,t), is a function of position, x, and time, t. Assume that the velocity of the fluid in the positive x-direction, u(x,t), is independent of y. Also assume that the wavelength of the wave is much greater than the wave amplitude so that the horizontal velocities are much greater than the vertical velocities. Answer(s):0huhtxIf incompressible: 0huhtxx y h(x,t)u(x,t)free surface liquid
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