hypothesis does not apply. An example of such a situation can be fluid flowing through a channel whose dimension is equal to the molecule size or mean free paths of the fluid molecules. For fluids‚ Knudsen number helps in assessing continuity approximation. If the Knudsen number is greater than or equal to one then the mean free paths of a molecule is comparable to the length scale of the problem. In such a case the continuity hypothesis is not a good
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What is the difference between pressure and stress? Answer: Pressure is the external force acting over a unit surface area of a material. Stress is an internal force acting over a cross sectional area within the material. It may also be thought of as the internal resistive response of a material to the applied external pressure. They both have the units of force / area. suppose we have a cubical solid mass. We apply external force of few magnitude on it and this force will try to deform the
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Chemistry102 5/7/2013 Lecture Presentation Chapter 17 Additional Aspects of Aqueous Equilibria John D. Bookstaver St. Charles Community College Cottleville‚ MO © 2012 Pearson Education‚ Inc. Common Ion Effect HA(aq) + H2O(l) ⇔ A−(aq) + H3O+(aq) • Adding a salt containing the anion NaA‚ which • is the conjugate base of the acid (the common ion)‚ shifts the position of equilibrium to the left This causes the pH to be higher than the pH of the acid solution 9lowering the H3O+ ion concentration
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technique with a particular approximation space‚ defined as the restriction to the fluid domain of functions of a finite element space. The decomposition–coordination method allows to deal without any regularization with a variety of non-linear and possibly non-differentiable constitutive laws. Beside more analytical tests‚ we revisit with this numerical method some simulations of gravity currents of the literature‚ up to now investigated within the simplified thin-flow approximation framework. Ó 2004 Elsevier
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Biography Name While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the "bhatta" suffix‚ his name is properly spelled Aryabhata: every astronomical text spells his name thus‚[1] including Brahmagupta’s references to him "in more than a hundred places by name".[2] Furthermore‚ in most instances "Aryabhatta" does not fit the metre either.[1] [edit] Birth Aryabhata mentions in the Aryabhatiya that it was composed 3‚600 years into the Kali Yuga‚ when
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Case 4: Pacific National Bank Pacific National Bank is a medium-sized bank with 21 branches. Until very recently‚ Pacific did not operate its own automatic teller machines (ATMs); instead‚ it relied on an outside vendor to operate these. Ninety percent of the ATM customers obtained cash advances with non-Pacific credit cards‚ so the ATMs did little to directly improve Pacific’s own banking business. Operations Vice President Maria Perez wants to change that‚ by having Pacific offer a broader
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regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination of the model parameters and depends on one or more independent variables. The data are fitted by a method of successive approximations. Contents [hide] 1 General 2 Regression statistics 3 Ordinary and weighted least squares 4 Linearization 4.1 Transformation 4.2 Segmentation 5 See also 6 References 7 Further reading General[edit] The data consist of error-free
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following three major aspects Steps involved in LPP Example 3 Advantages of LPP 3 4 10 3 a. What is degeneracy in transportation problem? How it can be resolved? b. Solve the following transportation problem using Vogel’s approximation method. Factories F3 Requirements Distribution
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application development (JAD): This model involves the client or end user in the design and development of an application‚ through a series of collaborative workshops called JAD sessions. Prototyping Model: In this model‚ a prototype (an early approximation of a final system or product) is built‚ tested‚ and then reworked as necessary until an acceptable prototype is finally achieved from which the complete system or product can now be developed. Synchronize-and-Stabilize: This model involves teams
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combination or current reckoning mode. Calculators usually have liquid crystal displays as output in place of historical vacuum fluorescent displays. See more details in technical improvements. Fractions such as 1⁄3 are displayed as decimal approximations‚ for example rounded to 0.33333333. Also‚ some fractions such as 1⁄7 which is 0.14285714285714 (to 14 significant figures) can be difficult to recognize in decimal form; as a result‚ many scientific calculators are able to work in vulgar fractions
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