# EMH 441 Heat Transfer [Pemindahan Haba]

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1 -1- [EMH 441] UNIVERSITI SAINS MALAYSIA First Semester Examination Academic Session 2016/2017 December 2016 / January 2017 EMH 441 Heat Transfer [Pemindahan Haba] Duration : 3 hours Masa : 3 jam Please check that this paper contains ELEVEN(11) printed pages, FOUR(4) page Appendix and FIVE(5) questions before you begin the examination. [Sila pastikan bahawa kertas soalan ini mengandungi SEBELAS(11) mukasurat beserta EMPAT(4) mukasurat Lampiran dan LIMA(5) soalan yang bercetak sebelum anda memulakan peperiksaan.] Appendix/Lampiran : 1. Heat Exchanger NTU [1 page/mukasurat] 2. Radiation Heat Transfer Chart [1 page/mukasurat] 3. Materials Properties [2 page/mukasurat] INSTRUCTIONS : Answer ALL questions. [ARAHAN : Jawab SEMUA soalan.] Answer questions in English OR Bahasa Malaysia. [Jawab soalan dalam Bahasa Inggeris ATAU Bahasa Malaysia.] Answer to each question must begin from a new page. [Jawapan bagi setiap soalan mestilah dimulakan pada mukasurat yang baru.] In the event of any discrepancies, the English version shall be used. [Sekiranya terdapat sebarang percanggahan pada soalan peperiksaan, versi Bahasa Inggeris hendaklah diguna pakai.] NOTE: Provided: Formula Booklet Dibekalkan: Buku formula 2/-

2 -2- [EMH 441] Q1. Water flows through a cast steel pipe (k = 50 W/m K) with an outer diameter of 104 mm and 2 mm wall thickness. Air mengalir melalui paip keluli tuang (k = 50 W/m K) yang mana diameter luaran ialah 104 mm dan tebal dinding 2 mm. [a] Calculate the heat loss by convection and conduction per meter length of uninsulated pipe as shown in Figure Q1 [a]. The water temperature is 15 C and the outside air temperature is -10 C. Given the water heat transfer coefficient is 30 kw/m 2 and the outside air heat transfer coefficient is 20 W/m 2 K. Kirakan kehilangan haba melalui perolakan dan konduksi per meter panjang untuk paip tidak ditebat seperti dalam Rajah S1 [a]. Suhu air ialah 15 C dan udara di luar paip tersebut ialah -10 C. Diberikan pekali pemindahan haba air 30 kw/m 2 dan pekali pemindahan haba udara di luar paip ialah 20 W/m 2 K. Figure Q1[a] Rajah S1[a] (40 marks/markah) 3/-

3 -3- [EMH 441] [b] Calculate the corresponding heat loss when the pipe is insulated with insulation having an outer diameter of 300 mm. Given the insulation thermal conductivity is k = 0.05 W/m K. Kirakan kehilangan haba apabila paip tersebut ditebat dengan penebat yang berdiameter luar paip 300 mm. Diberikan konduktiviti haba penebat tersebut ialah k = 0.05 W/m K. Figure Q1[b] Rajah S1[b] (40 marks/markah) [c] Justify the corresponding heat loss with respect to your answer in [a] and [b]. Wajarkan tentang kehilangan haba yang terlibat untuk jawapan anda di dalam [a] dan [b]. (20 marks/markah) 4/-

4 -4- [EMH 441] Q2. Figure Q2 shows the heat sink to be used in an electronic application. There are total of 9 aluminium fins (k = 175 W/m K, Cp = 900 J/kg K, ρ = 2700 kg/m 3 ) of rectangular cross-section. Each of the fin is 60 mm long, 40 mm wide and 1 mm thick. The spacing between the adjacent fins, s, is 3mm. The temperature of the base of the heat sink has a maximum design value of T b = 60 C, when the ambient air temperature T f = 20 C. Under these conditions, the ambient heat transfer coefficient h = 12 W/m 2 K. The fin can be assumed to be sufficiently thin so that the heat transfer from the tip can be neglected. The surface temperature T, at a distance x, from the base of the fin is given by; Rajah S2 menunjukkan sinki haba yang akan digunakan dalam aplikasi elektronik. Terdapat sejumlah 9 sirip aluminium (k = 175 W / m K, Cp = 900 J / kg K, ρ = 2700 kg / m 3 ) segi empat tepat keratan rentas. Setiap satu daripada sirip ialah 60 mm, 40 mm lebar dan 1 mm tebal. Jarak di antara sirip bersebelahan, s, ialah 3 mm. Suhu asas sinki haba mempunyai nilai reka bentuk maksimum Tb = 60 C, apabila suhu ambien udara T f = 20 C. Dalam keadaan ini, pekali pemindahan haba ambien, h = 12 W / m 2 K. Sirip boleh dianggap sangat nipis dan pemindahan haba dari hujung boleh diabaikan. Suhu permukaan, T, pada jarak x, dari pangkal sirip diberikan oleh; T T f = T b T f cccc m (L x) ssss mm Where; m 2 h P = k A c A c = ccccc sssssssss aaaa Given also, Q f = (hhha c ) 1 2 T b T f tttt (mm) 5/-

5 -5- [EMH 441] Figure Q2 Rajah S2 [a] Calculate the total convective heat transfer from the heat sink. Kirakan jumlah pemindahan haba perolakan daripada sinki haba. (40 marks/markah) [b] Calculate the fin efficiency, η fff Kirakan kecekapan sirip, η fff (30 marks/markah) [c] Propose and justify ways to improve the thermal performance in this system. Cadangkan dan wajarkan cara-cara untuk meningkatkan prestasi terma dalam sistem ini. (30 marks/markah) 6/-

6 -6- [EMH 441] Q3. Figure Q3 shows part of the heat exchanger tube. Hot water flows through the 20 mm diameter tube and is cooled by fins that are positioned with their longest side vertical. The exchange heat by convection to the surrounding is at 27 C. Estimate the convective heat loss per fin for the following conditions. You may ignore the contribution and effect of the cut-out for the tube on the flow and heat transfer. Rajah S3 menunjukkan sebahagian daripada tiub penukar haba. Air panas mengalir melalui tiub diameter 20 mm dan disejukkan oleh sirip yang berada pada kedudukan dengan bahagian yang paling panjang menegak. Pertukaran haba secara perolakan kepada suhu persekitaran pada 27 C. Anggarkan kehilangan haba perolakan setiap sirip untuk syarat-syarat berikut. Anda boleh mengabaikan sumbangan dan kesan potongan hujung untuk tiub aliran dan haba pemindahan. The following correlation may be used without proof, although you must give reasons to support your choice of answer. Korelasi berikut boleh digunakan tanpa pembuktian, walau bagaimanapun anda perlu memberikan alasan untuk menyokong pilihan anda dalam jawapan. 1 NN x = 0. 3 RR 2 x 1 PP NN x = RR x PP NN x = 0. 5 GG 4 x 1 NN x = 0. 1 GG 3 x 1 PP 4 1 PP 3 RR x < RR x GG x < 11 9 GG x 11 9 Given also, Diberikan, h aa = h x=l 3 4 h aa = h x=l 1 2 NN aa = 2 3 (GG L PP) NN aa = 0. 6 RR L 2 PP 1 3 7/-

7 -7- [EMH 441] For air at these conditions, take: Untuk udara pada keadaan tersebut, ambil: Pr 0.7 k 0.02 W/ m K μ 1.8 x 10-5 kg/ m s ρ 1.0 kg /m 3 Figure Q3 Rajah S3 [a] Free convection with an average fin surface temperature of 47 C. Perolakan bebas dengan suhu purata permukaan sirip ialah 47 C. (50 marks/markah) [b] Forced convection with an air flow of 15 m/s blowing parallel to the short side of the fin and with an average fin surface temperature of 37 C. Perolakan paksa dengan aliran udara 15 m/s bertiup selari dengan sisi lebih pendek daripada sirip dan dengan purata suhu permukaan sirip 37 C. (50 marks/markah) 8/-

8 -8- [EMH 441] Q4. [a] Figure Q4[a] shows the heat flux, q, profile against excess temperature for pool boiling water. Describe phases between points AB, BC, CD and DE as shown in Figure Q4[a]. Justify why q between points CD decreasing with excess temperature. Rajah S4[a] menunjukkan profil fluks haba, q, melawan suhu lebihan untuk kolam air mendidih. Terangkan fasa-fasa di antara titik-titik AB, BC, CD dan DE seperti ditunjukkan pada Rajah S4[a]. Wajarkan kenapa q di antara titik-titik DC menurun dengan suhu lebihan. (25 marks/markah) C E D A B Figure Q4[a] Rajah S4[a] 9/-

10 -10- [EMH 441] Inner tube Stainless steel Diameter = 0.05m thickness 0.5 mm Hot oil 110 C Cold water 25 C Tube length 500m Hot water Cold oil 70 C Outer tube Stainless steel Diameter = m Thickness 3mm Figure Q4[b] Rajah S4[b] Q5. [a] Hot oil (Cp=2100 J/kg.K, ρ = 850 kg / m 3 ) is to be cooled water (Cp=4200 J/kg.K, ρ = 1000 kg / m 3 ) in the heat exchanger as shown in Figure Q5[a]. The tubes are 3mm thin-walled stainless steel with a diameter and length of 2.0cm and 1.2m respectively. The overall heat transfer coefficient is 340W/m 2.K. Water mass flow rate is 0.1kg/s and oil mass flow rate is 0.2kg/s. Water and oil inlet temperatures are 18 C and 160 C respectively. Calculate the rate of heat transfer in the heat exchanger and outlet temperature of water and oil. In this case, in your opinion, is calculated outlet oil temperature similar to actual outlet oil temperature? Give one reason for your answer. Minyak panas (Cp=2100 J/kg.K, ρ = 850 kg / m 3 ) disejukkan oleh air (Cp=4200 J/kg.K, ρ = 1000 kg / m 3 ) dalam penukar haba seperti yang ditunjukkan dalam Rajah S5[a]. Tiub-tiub berketebalan 3mm keluli tahan karat dengan berdiameter 2.0cm dan panjang 1.2m. Pekali pemindahan haba keseluruhan ialah 340W/m 2.K. Kadar aliran jisim air ialah 0.1kg/s dan kadar aliran jisim minyak ialah 0.2kg/s. Suhu masuk air ialah 18 C dan suhu minyak masuk ialah 160 C. Kirakan kadar pemindahan haba dalam penukar haba dan suhu keluar air dan minyak. Pada pendapat anda, adakah suhu-suhu alur keluar minyak yang dikira sama dengan suhu alur keluar minyak yang sebenar? Berikan satu alasan untuk jawapan anda. (60 marks/markah) 11/-

11 -11- [EMH 441] Water inlet 18 C, m = 0.1kg/s Water Outlet Inner tube, stainless steel Water outlet Oil inlet 160 C, m = 0.1kg/s Figure Q5[a] Rajah S5[a] [b] All surfaces of 5m x 5m x 5m cubical furnace as shown in Figure Q5[b] are black surface. All surfaces have uniform temperature. Calculate net radiation heat transfer from the bottom surface. Semua permukaan 5m x 5m x 5m relau kubus seperti Rajah S5[b] ialah permukaan hitam. Semua permukaan mempunyai suhu sekata. Kirakan pemindahan haba radiasi bersih dari pemukaan bawah. (40 marks/markah) 1450K 450K 750K Figure Q5[b] Rajah S5[b] -ooooooo-

12 APPENDIX [EMH 441] LAMPIRAN 1-1-

13 APPENDIX [EMH 441] LAMPIRAN 2-2-

14 APPENDIX [EMH 441] LAMPIRAN 3 Properties of Various Temperature (K), K(W/m.K)/C p(j/kg.k) -3-

15 APPENDIX [EMH 441] LAMPIRAN 4 Properties of Various Temperature (K), K(W/m.K)/C p(j/kg.k) -4-

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