Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version
Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version
8th Edition
ISBN: 9781119080701
Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
Publisher: WILEY
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Chapter 6.11, Problem 1LLP
To determine

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

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

Ch. 6.2 - For a certain incompressible flow field it is...Ch. 6.2 - Prob. 12PCh. 6.2 - Prob. 14PCh. 6.2 - For each of the following stream functions, with...Ch. 6.2 - The stream function for an incompressible,...Ch. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - In a two-dimensional, incompressible flow field,...Ch. 6.2 - The stream function for an incompressible flow...Ch. 6.2 - The stream function for an incompressible,...Ch. 6.2 - Consider the incompressible, two-dimensional flow...Ch. 6.3 - A fluid with a density of 2000 kg/m3 flows...Ch. 6.3 - Prob. 24PCh. 6.3 - Prob. 25PCh. 6.4 - The stream function for a given two-dimensional...Ch. 6.4 - Prob. 27PCh. 6.4 - Prob. 28PCh. 6.4 - Prob. 29PCh. 6.4 - The velocity potential for a certain inviscid flow...Ch. 6.4 - Prob. 31PCh. 6.4 - Prob. 32PCh. 6.4 - Prob. 33PCh. 6.4 - Prob. 34PCh. 6.4 - Prob. 35PCh. 6.4 - Prob. 36PCh. 6.4 - Prob. 37PCh. 6.5 - Prob. 38PCh. 6.5 - Prob. 39PCh. 6.5 - Water flows through a two-dimensional diffuser...Ch. 6.5 - Prob. 41PCh. 6.5 - Prob. 42PCh. 6.5 - Prob. 43PCh. 6.5 - Prob. 44PCh. 6.5 - Prob. 45PCh. 6.5 - Prob. 46PCh. 6.5 - Consider the flow of a liquid of viscosity μ and...Ch. 6.5 - Prob. 48PCh. 6.5 - Show that the circulation of a free vortex for any...Ch. 6.5 - Prob. 50PCh. 6.6 - Potential flow against a flat plate (Fig. P6.51a)...Ch. 6.6 - Prob. 52PCh. 6.6 - Prob. 53PCh. 6.6 - Prob. 54PCh. 6.6 - Prob. 55PCh. 6.6 - Prob. 56PCh. 6.6 - A 15-mph wind flows over a Quonset hut having a...Ch. 6.6 - Prob. 58PCh. 6.6 - Prob. 59PCh. 6.6 - Prob. 60PCh. 6.6 - Prob. 61PCh. 6.6 - Prob. 62PCh. 6.6 - The velocity potential for a cylinder (Fig. P6.63)...Ch. 6.6 - (See The Wide World of Fluids article titled “A...Ch. 6.6 - Prob. 65PCh. 6.6 - Air at 25 °C flows normal to the axis of an...Ch. 6.8 - Determine the shearing stress for an...Ch. 6.8 - Prob. 68PCh. 6.8 - The velocity of a fluid particle moving along a...Ch. 6.8 - “Stokes’s first problem” involves the...Ch. 6.9 - Oil (SAE 30) at 15.6 °C flows steadily between...Ch. 6.9 - Prob. 72PCh. 6.9 - Prob. 73PCh. 6.9 - We will see in Chapter 8 that the pressure drop in...Ch. 6.9 - (See The Wide World of Fluids article titled “10...Ch. 6.9 - The bearing shown in Fig. P6.76 consists of two...Ch. 6.9 - Prob. 77PCh. 6.9 - Prob. 78PCh. 6.9 - An incompressible, viscous fluid is placed between...Ch. 6.9 - Two immiscible, incompressible, viscous fluids...Ch. 6.9 - Prob. 81PCh. 6.9 - A viscous fluid (specific weight = 80 lb/ft3;...Ch. 6.9 - A flat block is pulled along a horizontal flat...Ch. 6.9 - A viscosity motor/pump is shown in Fig. P6.84. The...Ch. 6.9 - A vertical shaft passes through a bearing and is...Ch. 6.9 - A viscous fluid is contained between two long...Ch. 6.9 - Verify that the momentum correction factor β for...Ch. 6.9 - Verify that the kinetic energy correction factor α...Ch. 6.9 - A simple flow system to be used for steady-flow...Ch. 6.9 - (a) Show that for Poiseuille flow in a tube of...Ch. 6.9 - An infinitely long, solid, vertical cylinder of...Ch. 6.9 - We will see in Chapter 8 that the pressure drop in...Ch. 6.9 - A liquid (viscosity = 0.002 N · s/m2; density =...Ch. 6.9 - Fluid with kinematic viscosity ν flows down an...Ch. 6.9 - Blood flows at volume rate Q in a circular tube of...Ch. 6.9 - An incompressible Newtonian fluid flows steadily...Ch. 6.9 - Prob. 97PCh. 6.9 - Prob. 98PCh. 6.9 - Prob. 99PCh. 6.10 - Prob. 101PCh. 6.10 - Prob. 102PCh. 6.11 - Prob. 1LLPCh. 6.11 - Prob. 2LLPCh. 6.11 - Prob. 3LLP
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