By A. Libai
Elastic shells are pervasive in lifestyle. Examples of those thin-walled buildings variety from vehicle hoods to basketballs, veins and arteries, and tender drink cans. This e-book offers the actual and mathematical foundation for the quantitative research of the habit of such shells and offers various functions. As a moment version, it not just brings the entire fabric of the 1st variation solely brand new; it additionally provides solely new chapters on basic shell concept and basic membrane thought. Aerospace, mechanical, and civil engineers, in addition to utilized mathematicians, will locate this e-book a essentially written and thorough info resource on shell thought.
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Extra resources for The nonlinear theory of elastic shells
Y/<25mV). In the cases of large surface potentials, it has been found that, in comparison with the exact solution of the Poisson-Boltzmann equation, the linear solution predicts slightly lower values of the potential in the region near the wall. After a small distance from the wall, the difference between the linear solution and the exact solution diminishes. Discussions of the difference between these two solutions can be found elsewhere [1,3,4]. 2. , the streaming potential). The equation of motion is the Z-directional momentum Equation.
These moving ions drag the surrounding liquid molecules with them. This generates an opposite flow to the pressure-driven flow and hence a reduced flow rate in the pressuredrop direction. (27), this reduced flow rate seems to suggest that the liquid have a higher viscosity. 5. Variation of the ratio of apparent viscosity to the bulk viscosity with the electrokinetic separation distance Kat £= -50 mV. 5. 75 when K = 2, and then decreases as K increases, approaching a constant value equal to one for very large values of K.
This current is called the streaming current. Corresponding to this streaming current, there is an electrokinetic potential called the streaming potential. This flow induced streaming potential is a potential difference that builds up along a microchannel. , opposite to the pressuredriven flow direction. 1. It is obvious that when ions move in a liquid, they will pull the liquid molecules to move with them. Therefore, the conduction current will produce a liquid flow in the opposite direction to the pressure driven flow.
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