Chapter 8, Problem 8.1E

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 T T T 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.

please solve the following problem

A 5 cm external diameter, 10 m long hot water pipe at 80 degrees C is losing heat to the surrounding air at 5 degrees C by natural convestion with a heat transfer coefficient of 25 W/m^2 K. Determine the rate of heat loss from the pipe by natural convection.

The outer surface of a spacecraft in space has emissivity of 0.8 and a solar absorptivity of 0.3. If solar radiation in incident on the spacecraft at a rate of 950 W/m^2, determine the surface temp of the spacecraft when the radiation emitted equals the solar energy absorbed.

Of the following pairs of material types, indicate whether any of them satisfy the condition that both elements of the pair are generically related to the property of ductility.(A). Yes, ceramics and polymers.(B). No, none of the pairs.(C). Yes, metals and ceramics.(D). Yes, polymers and metals.

Both Fouriers law of heat conduction and ficks law of mass diffusion can be expressed as Q=-kA(dT/dx). What do the quantities Q, k, a and T represent in  a) heat conduction b)mass diffusion

(9) Figure Q9 shows a 2 m long symmetric I beam where the upper and lower sections are 2X wide and the middle section is X wide, where X is 31 mm. The I beam sections are all Y=33 mm in depth. The beam is loaded in the middle with a load of Z=39 kN causing reaction forces at either end of the beam's supports. What is the maximum (positive) bending stress experienced in the beam in terms of mega-Pascals? State your answer to the nearest whole number. Y mm Y mm Y mm Xmm 2X mm Figure Q9 Z KN 2 m

(5) Figure Q5 shows a beam which rests on two pivots at positions A and C (as illustrated below). The beam is loaded with a UDL of 100 kN/m spanning from position B and ending at position D (as illustrated). The start location of B is Y=1.2 m from A. The total span of the UDL is twice the length of Z, where Z=2.2 m. What is the bending moment value at position X=2.5 m, (using the convention given to you in the module's formula book). State your answer in terms of kilo-Newton-metres to 1 decimal place. Bending Moment Value? UDL = 100 kN/m A Ym X = ? B Zm Figure Q5 C * Zm D

You are required to state your answer in millimetres to the nearest whole number. 30 mm 30 mm A. No Valid Answer B. 27 ○ C. 26 O D.33 ○ E. 34 30 mm 50 mm Figure Q14 1m