The information about the “Einstein’s tea leaves” and investigate some complex fluid motions interacting with leaves.
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Explanation of Solution
Einstein’s tea leaves experiment:
In this experiment tea leaves were taken in the cup containing fluid. The tea leaves are settle down at the bottom of the cup due to the density variation. The density of leaves are greater than the fluid density. Then the liquid is stirred with the help of spoon. Due to this action, the tea leaves are accumulates in the centre of the cup at its bottom. This happens due to the generation of viscous effect at the sides and bottom of the cup. This viscous effect slowdowns the rotation of fluid thereby creating a pressure gradient in the cup that pulls the tea leaves to the centre of the cup at its bottom.
Here, the pressure gradient developed inside the cup is sufficient to pull the tea leaves towards the centre of the cup. If marbles are used instead of tea leaves, the marbles are thrown to the sides of the cup. In this case, the developed pressure gradient is not sufficient. This creates an inconsistency in the fluid motion associated with tea leaves and marbles.
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Chapter 6 Solutions
FUNDAMENTALS OF FLUID MECHANICS
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