Engineering Your Future: Comprehensive
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ISBN: 9780199348015
Author: William C. Oakes, Les L. Leone
Publisher: Oxford University Press
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Chapter 11, Problem 11.14EAA
To determine
A team’s progress when it is half a way between its semester and quarter.
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Figure 3: Advection equation, solution for three different timesteps.
Q1) Provide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first, second and third timestep.
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- answer pleasearrow_forwardFigure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6 0.4- 0.2 0.0 00 -0.2 -0.4 -0.6- 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps.arrow_forwardQuestion 2 Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6- 0.4- 0.2- 0.0- -0.2- -0.4- -0.6 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps. a) Provide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first, second and third timestep. b) Consider explicit schemes with central and upwind discretisations. Explain how each of these candidate discretisations could produce the behaviour shown in Figure 3. c) Determine the CFL number that was used in the simulation for each of the candidate schemes for all possible updates. Assume that the timestep and mesh-width used are constant. Read the data to two digits of accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3. Demonstrate your method and input data for one calculation, but then use a…arrow_forward
- 1.1 Consider the fireclay brick wall of Example 1.1 that is operating under different thermal conditions. The tem- perature distribution, at an instant in time, is T(x) = a+ bx where a 1400 K and b = -1000 K/m. Determine the heat fluxes, q", and heat rates, q, at x = 0 and x = L. Do steady-state conditions exist?arrow_forward2.4 To determine the effect of the temperature dependence of the thermal conductivity on the temperature dis- tribution in a solid, consider a material for which this dependence may be represented as k = k₁ + aT where k, is a positive constant and a is a coefficient that may be positive or negative. Sketch the steady-state temperature distribution associated with heat transfer in a plane wall for three cases corresponding to a > 0, a = 0, and a < 0.arrow_forward1.21 A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and sur- rounding temperatures are T = 20°C and Tur = 40°C, respectively. The convection heat transfer coefficient is h=20 W/m² K, and the absorptivity of the exposed sur- face is α=0.78. Determine the convective and radiative heat fluxes to the wall at x = 0 if the wall surface tem- perature is T, = 24°C. Assume the exposed wall surface is gray, and the surroundings are large.arrow_forward
- 1.12 You've experienced convection cooling if you've ever extended your hand out the window of a moving vehi- cle or into a flowing water stream. With the surface of your hand at a temperature of 30°C, determine the con- vection heat flux for (a) a vehicle speed of 40 km/h in air at -8°C with a convection coefficient of 40 W/m² K and (b) a velocity of 0.2 m/s in a water stream at 10°C with a convection coefficient of 900 W/m²K. Which condition would feel colder? Contrast these results with a heat flux of approximately 30 W/m² under normal room conditions.arrow_forwardPLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT SOLVE BY HAND STEP BY STEParrow_forward1. A 40 lb. force is applied at point E. There are pins at A, B, C, D, and F and a roller at A. a. Draw a FBD of member EFC showing all the known and unknown forces acting on it. b. Draw a FBD of member ABF showing all the known and unknown forces acting on it. c. Draw a FBD of member BCD showing all the known and unknown forces acting on it. d. Draw a FBD of the entire assembly ADE showing all the known and unknown forces acting on it. e. Determine the reactions at A and D. f. Determine the magnitude of the pin reaction at C. 40 lbs. B A 6 in. 4 in. D F -5 in.4 in 4.arrow_forward
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