Heat Transfer Homework Help

1. Heat is flowing steadily in a metal plate whose shape is an infinite rectangle occupying the-a <z <a, y> 0 of the (r, y) plane. The temperature at the point (z,y) is denoted by u(x, y). The sides z = ta are insulated, the temperature approaches zero as yoo, while the side y = 0 is maintained at a fixed temperature -T for a <r <0 and T for 0 < z <a. It is known that u(r,y) satisfies the Laplace equation 8²u F²₂ + = 0 Jy2 i. Sketch by hand the configuration of the metal plate and specify all boundary conditions corresponding to each side of the metal plate ii. Use the method of separation to obtain the solution in the form: یران u(x, y) 1 ΑΣ Σ B n-0 Analyse all three cases of a separation constants (A <,,> 0). Coefficients A, B, C and D (D is a trigonometric expression) have to be calculated and highlighted in your assignment. Full marks are awarded for a complete step by step proof. iii. Take 7 the temperature from part a) to be equal to the last two figures of your student Monash ID number (if ID XXXXXX31, take T-31; ID XXXXXX09, take T-9; ID XXXXX1100, take T=10). And take a = 1. In MATLAB, on the same graph plot the partial sum up to the 50th harmonic of u(x,y) for 10 relevant values y = 0,0.01, 0.02, and continuing with any y of your own choice. Label and ADD a legend to the graph and publish the graph of your solution, and attach it to the assignment. iii. For what value y does the temperature drop to 10% of the initial temperature for 0 < <a? TOTAL=4+18+10+1+2[ncat] =35 marks

Question 7 An electrical circuit is embedded in a silicone slab, which has a thickness equal to 0.06 m. If the heat flux dissipated towards the surrounding amounts 3.2 kW/m2 on each slab side, evaluate the volumetric heat generation in kW/m3 to 1 decimal unit. Suggestion: the temperature field across the system is symmetric.

Choose the correct statements from the options below. There may be several correct statements, but you won't know how many. If there are N correct statement, you will get 5/N marks for each correct statement you choose, but you will lose 5/N marks for each incorrect statement you choose. Your score won't go negative.

Choose the correct statements from the options below. There may be several correct statements, but you won't know how many. If there are N correct statement, you will get 5/N marks for each correct statement you choose, but you will lose 5/N marks for each incorrect statement you choose. Your score won't go negative.

During the course (from the beginning until the end) of the experiment, Tcold and Thot are expected to change (to keep decreasing and increasing, respectively). Submit a file (Word, PDF or image) in which you provide an explanation for this (max 100 words).

Submit a file (word, PDF or image) showing your calculation of Heat Pump CoP3 and COP1 at 2 dinstinct moments of the experiment: i) 4- 5 mins and ii) 11-12 mins. For doing this you need to consider Tcold and Thot averaged over the periods 4-5 mins and 11-12 mins, respectively. Your file should clearly explain your steps.

Question 4 1. (4 pts) Draw a typical solar collector efficiency curve (efficiency vs. delta T) with the following collector types. 1. Black absorber 2. Simple flat plate collector 3. Double glazed flat plate collector 4. Evacuated heat pipe The optical efficiency of the evacuated heat pipe is less than the optical efficiency of the double glazed flat plate collector.

Submit a file (Word, PDF or image) showing your calculation of the theoretical Heat Pump COP2 value, from the P/h diagram. Your file should clearly explain your steps.

Question 1 The intensity of solar radiation at one astronomical unit away from the sun is around 1350 W/m2 (outside the atmosphere). What would be the radiation intensity be at two astronomical units away from the sun? O 337.5 W/m2 O 675 W/m2 O 1350 W/m2 O 169 W/m2

Question 2 At the spring equinox, the declination angle of the sun is approximately what angle? O Zero O-23.45 degrees O +23.45 degrees O Equal to the latitude