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In plants, osmotically driven flows are believed to be responsible fortranslocation of sugar in the pipe-like phloem cell network, spanning theentire length of the plant. In this paper, we present an experimental andtheoretical study of transient osmotically driven flows through pipes withsemipermeable walls. We extend the experimental work of Eschrich, Evert andYoung \cite[]{Eschrich:1972} by providing a more accurate version of theirexperiment allowing for better comparison with theory. In the experiments wemeasure the dynamics and structure of a "sugar front", i.e. the transport anddecay of a sudden loading of sugar in a pipe which is closed in both ends. Weinclude measurements of pressure inside the membrane tube allowing us tocompare the experiments directly with theory and, in particular, to confirmquantitatively the exponential decay of the front in a closed tube.In a novelsetup we are able to measure the entire concentration profile as the sugarfront moves. In contrast to previous studies we find very good agreementbetween experiment and theory.  In the limit of low axial resistance (valid in our experiments as well as inmany cases in plants) we show that the equations can be solved exactly by themethod of characteristics yielding, in general, an implicit solution. Furtherwe show that under more general conditions the equations of motion can berewritten as a single integro-differential equation, which can be readilysolved numerically. The applicability of our results to plants is discussed andit is shown that it is probable that the pressure-flow hypothesis can accountfor short distance transport of sugar in plants.

Osmotically driven pipe flows and their relation to sugar transport in plants