(i) Explain the meaning of the Lagrangian derivative or total derivative, de noted by the symbol...
Fluid Mechanics - Local, spatial, Material derivative state the meaning of the expression for 1) state the most general form of the local equation of conservation of mass, write the form of incompressible flow for 2) 1. Fill in the missing letters in the expression that follows, where T represents temperature and subscripts M and S refer to material and spatial coordinates, respectivel;y State, in words, the meanng of this expression 2. State the most general form of the local...
1. Show that the Lagrangians L(t,q, y) and Īct, 4, ) = L(1,4,0) + f/10, 9) yield the same Euler-Lagrange equations. Here q e R and f(t,q) is an arbitrary function. 2 Lagrangian mechanics In mechanics, the space where the motion of a system lies is called the configuration space, which is usually an n-dimensional manifold Q. Motion of a system is defined as a curve q : R + Qon Q. Conventionally, we use a rather than 1 to...
2. Consider a mass m moving in R3 without friction. It is fasten tightly at one end of a string with length 1 and can swing in any direction. In fact, it moves on a sphere, a subspace of R3 1 0 φ g 2.1 Use the spherical coordinates (1,0,) to derive the Lagrangian L(0,0,0,0) = T-U, namely the difference of kinetic energy T and potential energy U. (Note r = 1 is fixed.) 2.2 Calculate the Euler-Lagrange equations, namely...
I have this really hard advanced calculus assignment and these questions are stumping me hard. Asking for full solutions but anything is fine. Of course will give a thumbs up to good responses. I have copy and pasted the explanation for the questions and attached pictures of it in case the format is broken. Thanks MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, In a classical fluid every molecule making up the fluid is subject to Newton's laws. In...
BIG UPVOTE FOR RIGHT ANSWER Viscous fluid flow 2nd edition Frank White I need answer of 2.17 I have attached 2.14 question and solution for reference. 2.17 As an extension of Prob. 2-14, consider the heat-transfer aspect by assuming a uniform entrance profile T = To and an exit profile approximated by T(r) = T0(1.5 + 0.5r2/ri). For flow with constant (p, F, cp, k) and negligible kinetic- and potential-energy changes, use the integral relations to compute the total heat...
I need Summary of this Paper i dont need long summary i need What methodology they used , what is the purpose of this paper and some conclusions and contributes of this paper. I need this for my Finishing Project so i need this ASAP please ( IN 1-2-3 HOURS PLEASE !!!) Budgetary Policy and Economic Growth Errol D'Souza The share of capital expenditures in government expenditures has been slipping and the tax reforms have not yet improved the income...