Use the definition of the partial current to prove the linear extrapolation distance for a vacuum boundary condition (the distance where the flux function goes to zero) is d = 2/3λ , where λ is the mean free math defined as λ = 1/Σtr = 3D (D is the diffusion coefficient)
In: Physics
Write and test MatLAB code implementing the mathematical models of the boundary value problem to evaluate the elastic deflection of the beam based on Euler-Bernoulli and Timoshenko theories with finite difference discretisation (for numerical integration and differentiation). The results must be plotted on a graph with labelled local maxima and minima
In: Mechanical Engineering
The boundary of a lamina consists of the semicircles
y =
| 1 − x2 |
and y =
| 25 − x2 |
together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is inversely proportional to its distance from the origin. Hint: use polar coordinates
In: Math
Find the eigenvalues
λn
and eigenfunctions
yn(x)
for the given boundary-value problem. (Give your answers in terms of n, making sure that each value of n corresponds to a unique eigenvalue.)
x2y'' + xy' + λy = 0, y(1) = 0, y'(e) = 0
In: Advanced Math
The stream function ?? in a two-dimensional flow field is given as ?? = 4?? − 3?? + 7???? (a) Prove that this flow field is irrotational and that it satisfies the continuity equation. (b) Find the potential flow function Ф(??, ??) for this flow field with boundary condition Ф = 0 at x = 2, y = 1.
In: Mechanical Engineering
Hello! In Ansys Fluent, how can I calculate the molar concentration (kmol/m^3) of a species and molar fraction (dimensionless) of a species in fluent after I put an exact amount of the mass (kg) of a species at a boundary? Thank you, I will thumb you up!
In: Mechanical Engineering
In: Math
Describe and illustrate the use of a bank reconciliation in controlling cash, & Describe the Sarbanes-Oxley Act of 2002 and its impact on internal controls and financial reporting.
In: Accounting
In January 2002, the Argentine Peso changed in value from Peso 1.00/$ to Peso 1.40/$, what is the percentage change in Argentine Peso against USD?
In: Finance
The population of Egypt in 2002 was 73,312,600 and was 78,887,000 in 2006. Assume the population of Egypt grew exponentially over this period.
Determine the 4-year growth factor and percent change.
Determine the 1-year growth factor and percent change.
Define a function that gives the population of Egypt in terms of the number of years that have elapsed since 2002.
Re-write your function from part(c) so that it gives the population of Egypt in terms of the number of decades that have elapsed since 20002.
Assuming Egypt’s population continued to grow according to this model, how long will it take for the population of Egypt to double?
In: Math