User:EMBaero/Sandbox

Academic profile
UT Arlington has been classified by the Carnegie Foundation as a high research activity institution. As of 2011, the U.S. News and World Report has ranked UT Arlington as a national university with the Colleges of Nursing and Engineering ranked #64 and #85 in the nation, respectively.

UT Arlington’s College of Engineering offers eight baccalaureate programs, 12 master’s and 9 doctorates. It is the fourth largest engineering college in Texas, with about 3,700 students. The staff includes approximately 150 full time and 20 part time faculty members, over twenty of whom are Fellows in professional societies. UT Arlington's College of Nursing has grown and developed into a nationally recognized program and one of the largest in the United States with more than 100 faculty and 1,000 nursing students.

UT Arlington's business program consistently ranks among the state's top programs in accounting graduates passing the certified public accountant exam; the most recent survey (for the Spring 2004 exam) showed UT Arlington as the top state program in terms of successful candidates. 

Unique liberal arts programs include Southwestern Studies and Mexican-American studies.

UT Arlington's Interdisciplinary Studies program, a department in the School of Urban and Public Affairs, is one of the largest and fastest growing programs on campus. The INTS program allows students to custom build their own program of study resulting in either a B.A.I.S. or B.S.I.S. degree. Interdisciplinary studies is a thirty-five year-old academic field and the thirteenth most popular major across the United States. Nationally, almost 500,000 students graduated with an interdisciplinary or multidisciplinary degree in Spring 2007. There are 652 interdisciplinary programs nationwide, along with 215 interdisciplinary masters and 65 doctoral programs. The INTS program at UTA is the largest program of its kind in Texas. In building custom degree plans, students mix the required core components with various disciplinary components to meet the academic and professional needs of the student.

UT Arlington's library system has five locations: the Central Library, Science and Engineering Library, Architecture and Fine Arts Library, and two electronic libraries at the College of Business Administration and the School of Social Work.

Special Collections of the university library include historical collections on Texas, Mexico, the Mexican-American War, and the greater southwest. An extensive cartography collection holds maps and atlases of the western hemisphere covering 5 centuries. Also included is the Fort Worth Star-Telegram photo archives, a collection representing over 100 years of North and West Texas history. All together, Special Collections holds more than 30,000 volumes, 7,000 linear ft. of manuscripts and archival collections, 5,000 historical maps, 3.6 million prints and negatives, and thousands of items in other formats. 

Colleges and schools
The university contains 12 colleges and schools, each listed with its founding date:

UT Arlington has the only accredited school of architecture in the North Texas region.

Faculty and Research
UT Arlington is home of a university-based nanotechnology research facility, NanoFab Research and Teaching Facility.

For FY 2008, the university's research expenditures totaled $66.6 million.

Introductory terminology
Add short discussion before the terms. Get a good picture of lift and drag forces over an airfoil.


 * Lift


 * $$L = {1 \over 2} \rho V^{2} A c_{L}$$


 * Drag
 * Viscosity
 * Reynolds number Important because it can distinguish between laminar and turbulent flow, flow similarity
 * Mach number

Continuity assumption and governing equations
Insert a picture of continuum versus free-molecular flow perhaps

Gases are composed of molecules which collide with one another and solid objects. If density and velocity are taken to be well-defined at infinitely small points, and are assumed to vary continuously from one point to another, the discrete molecular nature of a gas is ignored.

The continuity assumption becomes less valid as a gas becomes more rarefied. In these cases, statistical mechanics is a more valid method of solving the problem than continuous aerodynamics. The Knudsen number can be used to guide the choice between statistical mechanics and the continuous formulation of aerodynamics.

Give an intro to N-S equations. The derivation of the Navier–Stokes equations begins with an application of Newton's second law: conservation of momentum (often alongside mass and energy conservation) being written for an arbitrary control volume. In an inertial frame of reference, the general form of the equations of fluid motion is:


 * $$\rho \left(\frac{\partial \mathbf{u}}{\partial t} + \mathbf{u} \cdot \nabla \mathbf{u}\right) = -\nabla p + \nabla \cdot\mathbb{T} + \mathbf{f},$$

where $$\mathbf{v}$$ is the flow velocity, $$\rho$$ is the fluid density, p is the pressure, $$\mathbb{T}$$ is the (deviatoric) stress tensor, and $$\mathbf{f} $$ represents body forces (per unit volume) acting on the fluid and $$\nabla$$ is the del operator. This is a statement of the conservation of momentum in a fluid and it is an application of Newton's second law to a Continuum; in fact this equation is applicable to any non-relativistic continuum and is known as the Cauchy momentum equation.

Incompressible flow, can assume density, viscosity are constant, neglect body forces and get a simplificiation:


 * $$\frac{D \mathbf{u}}{Dt} = -{1 \over \rho} \nabla p + {\mu \over \rho} {\nabla}^2 \mathbf{u}$$

Compressible flow is more complicated because the flow divergence is not zero so we have the second viscosity coefficient appear (write in aerodynamics nomenclature):


 * $$\rho \left(\frac{\partial \mathbf{u}}{\partial t} + \mathbf{u} \cdot \nabla \mathbf{u}\right) = -\nabla p + \mu \nabla^2 \mathbf{u} + \left( \tfrac13 \mu + \mu^v) \nabla (\nabla \cdot \mathbf{u} \right) + \mathbf{f} $$

Then, neglecting viscosity, the Euler equations can work for compressible and incompressible flow.


 * $$\rho\left( \frac{\partial}{\partial t}+{\mathbf u}\cdot\nabla \right){\mathbf u}+\nabla p = 0$$