d chapter o, pp. 62-66 Starting with the time dependent 2-D laminar boundary layer momentum equation...
22. Consider the momentum integral equation turbulent boundary layer on an isothermal flat plate. The boundary layer is tripped at x-0. Assume constant properties and velocity. An experiment conducted to measure u and τ showed that for a steady, and τ= 0.0228 ρu® a) Determine the local friction coefficient, Cf/2 b) Using Colburn analogy, obtain an expression for the local Nusselt number.
2. Use the scale analysis to derive momentum equation and energy equation of boundary layer under an external forced convection, and then determine the order pf magnitude of the ratio of thermal boundary layer thickness to hydrodynamic boundary layer thickness
Determine the Reynolds-averaged x-momentum equation in Cartesian
coordinates starting from the equation provided.
Du Dt ax o
Du Dt ax o
1) Each of the following statements about Buckingham Pi Theorem is true, EXCEPT, a. An equation of k variables can be reduced to a function of k-r Pi's, where r equals the number of dimensions involved. b. An equation of k variables can be reduced to a function of r Pi's, where r equals the number of basic dimensions involved C. The theorem applies to either the MLT or the FLT dimension system. d. The theorem is based on dimensional...
a. 1) Each of the following statements about Buckingham Pi Theorem is true, EXCEPT, An equation of variables can be reduced to a function of A- Pis where requals the number of dimensions involved. b. An equation of variables can be reduced to a function of Pis where requals the number of basic dimensions involved e. The theorem applies to either the MLT or the FLT dimension system d. The theorem is based on dimensional homogeneity of an equation that...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. a. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t)...
Question 8 please
5. We start with Schrodinger's Equation in 2(x,t) = H¥(x,t). We can write the time derivative as 2.4(x, t) = V(x,+) - (xt), where At is a sufficiently small increment of time. Plug the algebraic form of the derivative into Schrodinger's Eq. and solve for '(x,t+At). b. Put your answer in the form (x,t+At) = T '(x,t). c. What physically does the operator T do to the function '(x,t)? d. Deduce an expression for '(x,t+24t), in terms...
5. Consider the following time-dependent Lagrangian for a system with one degree of freedom , (10) where 8, m and k are fixed real constants greater than zero. (total 10 points) (a) Write down the Euler-Lagrange equation of motion for this system, and interpret the resulting equation in terms of a known physical system. (1 point) (b) Find Hamiltonian via Legendre transformation. (1 point) (c) Show that q(t) and the corresponding canonical momentum p(t) can be found as follows for...
This is the sequence 1,3,6,10,15 the pattern is addin 1 more than last time but what is the name for this patternThese are called the triangular numbers The sequence is 1 3=1+2 6=1+2+3 10=1+2+3+4 15=1+2+3+4+5 You can also observe this pattern x _________ x xx __________ x xx xxx __________ x xx xxx xxxx to see why they're called triangular numbers. I think the Pythagoreans (around 700 B.C.E.) were the ones who gave them this name. I do know the...
Hi, please help me with my homework and please do not answer
if you intend to answers all the questions. Thank you
The Central Nervous System, endocrine system B. Figure 1 Use the diagram above to answer the following question 1) Which letter indicates the primary visual cortex, which receives information from neurons in the retina of the eye? A) A B) B C) C D) D E) E Figure 2 Use the diagram above to answer the following questions....