Activated Carbon (Charcoal) Filters

Charcoal filters are used in air conditioning units and exhaust fans to rid air of unwanted odors (smoke, fumes, and animal odor). Some forms of alcohol, …

ANSYS Workbench Tutorial – Flow Over an Airfoil

Workbench Tutorial – Flow Over an Airfoil, Page 3. on the circle next to “Meter”, then OK. If this prompt does not appear, your version of DM was set to always use a certain unit of length. If this is the case, Tools-Options-Units, and set . Display Units Pop-up Window. to “Yes”. 3. Concept-3D Curve. In . Details View, Not Selected

  Workbench

Stress, Strain, and Strain Gages

Stress, Strain, and Strain Gages, Page 2 Strain gage The principle discussed above, namely that a wire’s resistance increases with strain, is key to understanding how a strain gage works. The strain gage was invented by Ed Simmons at Caltech in 1936. A strain gage consists of a small diameter wire (actually an etched metal foil) that is attached to a backing material (usually …

Compressible Flow in a Converging-Diverging Nozzle

chromel-alumel. 4. microphones, amplifier, and speaker system 5. Heise absolute pressure gauge (psi units) 6. Omega Engineering thermocouple-based digital thermometer, model 871 7. schlieren flow visualization system: a. two 70-mm diameter 500-mm focal length lenses b. LED light source with condenser lens and slit

  Flows, Nozzle, Converging, Malleus, Diverging, Compressible, Compressible flow in a converging diverging nozzle

Drag on Spheres

Drag on Spheres Prepared by Professor J. M. Cimbala, Penn State University Latest revision: 11 January 2012 Nomenclature a speed of sound A projected frontal area (for a sphere, A = d2/4) CD drag coefficient: CD = 2FD/( V 2A) CL lift coefficient: CL = 2FL/( V 2A) d diameter of a cylinder, sphere, or other object FD drag force FL lift force g gravitational constant (9.81 m/s2)

Probability Density Functions

Probability Density Functions, Page 2 expected value when n is large. x and μ are often used interchangeably, but this should be done only if n is large. Standard deviation is defined in terms of the PDF as standard deviation σμ()()x 2 fxdx ∞ −∞ == −∫.In an ideal situation in which f(x) exactly represents the population, σ is the standard deviation of the entire population.

939-956 cengel app1 - Pennsylvania State University

948 PROPERTY TABLES AND CHARTS TABLE A–9 Properties of air at 1 atm pressure Specific Thermal Thermal Dynamic Kinematic Prandtl Temp. Density Heat c p Conductivity Diffusivity Viscosity Viscosity Number T, 8C r, kg/m3 J/kg·K k, W/m·K a, m2/s m, kg/m·s n, m2/s Pr 2 150 2.866 983 0.01171 4.158 3 1026 8.636 3 1026 3.013 3 1026 0.7246 2 100 2.038 966 0.01582 …

The Ideal Gas Constant

For air in English units, air ft lbf 1545.4 lbmol R ft lbf 53.34 lbm lbm R 28.97 lbmol R Ru M . As a check, one can convert from S. I. to English units, i.e., kJ 1 Btu 5 K 778.17 ft lbf 0.4536 kg ft lbf 0.2870 53.35 air kg K 1.055 kJ 9 R Btu lbm lbm R R The disagreement in the last digit is due to round-off errors in the conversion factors.

  Unit, Conversion

Parts of a micrometer - Pennsylvania State University

Please use the information below to help you read our .001" and .0001" outside micrometers. Parts of a micrometer Figure 1: The parts of a micrometer Sleeve: The Micrometer sleeve is divided into 10 equal parts, each of these parts is equal to .100" (1 tenth of an inch). Each of these 10 parts is divided into 4 equal parts.

  Information, Part

Dynamic System Response - Pennsylvania State University

Dynamic System Response, Page 3 o For nonhomogeneous ODEs (those with non-zero right hand sides) like the above, the solution is the sum of a general (homogeneous) part and a particular (nonhomogeneous) part in which the right hand side takes the actual form of the forcing function, x(t) times K, namely y t ygeneral particular t y t .

  General, System, Dynamics, Response, Dynamic system response

The Gaussian distribution - Washington University in St. Louis

Figure 1: Examples of univariate Gaussian pdfs N(x; ;˙2). The Gaussian distribution Probably the most-important distribution in all of statistics is the Gaussian distribution, also called the normal distribution. The Gaussian distribution arises in many contexts and is widely used for modeling continuous random variables.

  Random, Gaussian

The Multivariate Gaussian Distribution - Stanford University

A vector-valued random variable X = X1 ··· Xn T is said to have a multivariate normal (or Gaussian) distribution with mean µ ∈ Rnn ++ 1 if its probability density function2 is given by p(x;µ,Σ) = 1 (2π)n/2|Σ|1/2 exp − 1 2 (x−µ)TΣ−1(x−µ) . of their basic properties. 1 Relationship to univariate Gaussians Recall that the ...

  Random, Gaussian

Gaussian Processes in Machine Learning

A Gaussian Process is a collection of random variables, any finite number of which have (consistent) joint Gaussian distributions. A Gaussian process is fully specified by its mean function m(x) and covariance function k(x,x0). This is a …

  Random, Gaussian

Visualizing Data using t-SNE - Journal of Machine Learning ...

almost infinitesimal (for reasonable values of the variance of the Gaussian, σi). Mathematically, the conditional probability pjji is given by pjji = exp k xi xjk2=2σ2 i ∑k6= i exp k xi xkk2=2σ2 i; (1) where σi is the variance of the Gaussian that is centered on datapoint xi. The method for determining the value of σi is presented later ...

  Gaussian