Time-Dependent Electrokinetic Flow in Infinitely Extended Rectangular Microchannels With Slip

2003 ◽  
Author(s):  
Jun Yang ◽  
Daniel Y. Kwok
Keyword(s):  
Analytical Solution ◽  
Cross Section ◽  
Rectangular Cross Section ◽  
Slip Flow ◽  
Time Dependent ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Electrokinetic Flow ◽  
Rectangular Microchannel ◽  
Microelectromechanical Devices

Rectangular microchannel is the most popular shape to be widely used in Microelectromechanical devices. However, analytical solutions of flow in this shape of microchannels are seldom reported because of its two dimensional problem. Furthermore, microflows in microchannels are more difficult to describe. In this paper, we addressed analytically the problem of laminar electrokinetic slip flow in microchannels with rectangular cross-section subjected to a time-dependent pressure gradient and a time-dependent electric field. The analytical solution has been determined based on the Debye-Hu¨ckel approximation and its solution is useful to precisely control microflow with slip in rectangular cross-section microchannels.

MATHEMATICAL MODEL OF TWO-DIMENSIONAL LAYERED PRESSURE FLOW IN THE AUGER CHANNEL

2018 ◽  
Author(s):  
А.В. ГУКАСЯН ◽  
В.С. КОСАЧЕВ ◽  
Е.П. КОШЕВОЙ
Keyword(s):  
Mathematical Model ◽  
Analytical Solution ◽  
Cross Section ◽  
Dynamic Pressure ◽  
Two Dimensional ◽  
Flow Dynamic ◽  
Pressure Flow ◽  
Rectangular Channels ◽  
Wide Range ◽  
Pressure Characteristics

Получено аналитическое решение двумерного слоистого напорного течения в канале шнека, позволяющее моделировать расходно-напорные характеристики прямоугольных каналов шнековых прессов с учетом гидравлического сопротивления формующих устройств и рассчитывать расходно-напорные характеристики экструдеров в широком диапазоне геометрии витков как в поперечном сечении, так и по длине канала. Obtained the analytical solution of two-dimensional layered pressure flow in the screw channel, allow to simulate the flow-dynamic pressure characteristics of rectangular channels screw presses taking into account the hydraulic resistance of the forming device and calculate the mass flow-dynamic pressure characteristics of the extruders in a wide range of the geometry of the coils, as in its cross section and along the length of the channel.

Mean Flow Downstream of Two-Dimensional Roughness Elements

1989 ◽  
Vol 111 (2) ◽  
pp. 149-153 ◽  
Author(s):  
E. Logan ◽  
P. Phataraphruk
Keyword(s):  
Reynolds Number ◽  
Cross Section ◽  
Pipe Flow ◽  
Rectangular Cross Section ◽  
Roughness Element ◽  
Two Dimensional ◽  
Hot Wire ◽  
Mean Flow ◽  
Roughness Elements ◽  
Three Stages

The response of a fully developed pipe flow to wall mounted roughness elements of rectangular cross section was investigated experimentally using a probe with a single hot-wire. Four heights of rectangular, ring-type elements were installed rigidly in a 63.5-mm diameter, smooth-walled, circular pipe in which air was flowing at a Reynolds number of 50,000. After passing over the roughness element, the flow recovery occurred in three stages. The three flow regions are delineated, and the velocity profiles for each are correlated.

scholarly journals On an approximate solution for the bending of a beam of rectangular cross-section under any system of load, with special reference to points of concentrated or discontinuous loading

1902 ◽  
Vol 70 (459-466) ◽  
pp. 491-496
Keyword(s):  
Approximate Solution ◽  
Special Reference ◽  
Cross Section ◽  
Rectangular Cross Section ◽  
Elastic Equilibrium ◽  
Elastic Solid ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Applied Stresses

The paper investigates the elastic equilibrium of a long bar of rectangular cross-section in those cases where the problem may be treated as one of two dimensions, namely:— ( a .) When the strain being in the plane of xy , the elastic solid extends indefinitely in the direction of the applied stresses over the bounding planes y = ± b , x = ± a being the same for any two sections parallel to the plane of xy . We then have a strictly two-dimensional strain.

On The Theory Of Bending Of A Thick Orthotropic Plate Without Consideration Of Simplifying Hypothesis

2011 ◽  
Vol 3 ◽  
Author(s):  
Makhamatali Koraboyevich Usarov
Keyword(s):  
Analytical Solution ◽  
Orthotropic Plate ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Orthotropic Plates

The problem of bending of a thick orthotropic plate is considered as a three-dimensional problem of the theory ofelasticity. On the basic of the method of expansion of thesolution into the series, a three-dimensional problem isreduced to two independent two –dimensional problems.The theory of thick orthotropic plates free from simplifiedhypothesis is developed: An analytical solution of equationis given. Maximum values of displacements and stressesfor upper, middle and lower surfaces of the plate are calculated.

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