Cylinder L(1) У Piston P(t) Lpotom Time t Time t = 0 Tvp
An air–fuel mixture is compressed by a piston in a cylinder of an internal combustion engine. The origin of coordinate y is at the top of the cylinder, and y points straight down as shown. The piston is assumed to move up at constant speed VP. The distance L between the top of the cylinder and the piston decreases with time according to the linear approximation L = Lbottom − VPt, where Lbottom is the location of the piston when it is at the bottom of its cycle at time t = 0, as sketched in Fig. At t = 0, the density of the air–fuel mixture in the cylinder is everywhere equal to ?(0). Estimate the density of the air–fuel mixture as a function of time and the given parameters during the piston’s up stroke.
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