Question

please show procedure

Q1.0 A horizontal tube with D = 0.05 m and Ts = 307 K is exposed to steam at 0.2 bar. Determine the average heat transfer coefficient, condensation rate, and heat transfer rate per unit length of the tube. [For simplicity of the problem, make the following assumptions: (1) Laminar film condensation. (2) Negligible non-condensibles in steam.] The average heat transfer coefficient = 2669 W/m-K, Condensation Rate per unit length of the tube = 2.36x10-2 kg/sm and heat transfer rate per unit length of the tube 82.3 kW/m The average heat transfer coefficient = 556 W/ mK, Condensation Rate per unit length of the tube = 8.12x10-2 kg/sm and heat transfer rate per unit length of the tube = 105.2 kW/m The average heat transfer coefficient = 7256 W/m2.K, Condensation Rate per unit length of the tube 5.26x10-3kg/s-m and heat transfer rate per unit length of the tube = 56.3 kW/m The average heat transfer coefficient = 6926 W/m2.K, Condensation Rate per unit length of the tube = 1.16x10-2 kg/s-m and heat transfer rate per unit length of the tube = 28.3 kW/m

Answer 1

bolution to one above problem ① given data Horizontal Tube Drameter D = 0.05m Surface Temperature To 307 K Steam at P = 0.2 bar Assumptions Seminar film condensation non Condensible degligible to find * Average Hecet Crasy to feed Chi) * Condensation rate (m) * heat transfer rate per unit length of Tube (9) balution and steps: Step 1 : Calculating properties from Tables at P- 0.2 bar = 0.28105 N/m2 20 Кра But in table 19.94 is there but we need 20 50 0.06 is not giving That much difference on propennes at Jokpa 19.94 kea 1

(Ts) Saturation бос 60+273 = 333 density of Vapour (ev) = 0-13 Kg/m3 enthalphy of (hg) eropordhon 2359 kJ kg. Now Mean Cum Temperature Tf = Tsconface tt saturation 2 307+ 333 2 If 320k 410 A9 By density ed Now From Table doing Interpolation, of liquid Specific heat of ligurd S, I Dynamic Viscosity Themal Conductivity Mi (d = liquid) (v=vapour) are Calculated

Interpolathon formulae y-y, 42-4, X= 450 12 = 6c 2- Temperature in °C Respetive properties Interpelahoon between 45 cto soc doing 4R-45 = 0.4 50 - 15 GIN 0-4 = ly - 990.1 9881 - 990-1 -0.8 = Y - 990.4 Py 989-3 kg/m3 el Pliquid

for pliquid opy 4180 -x U2-x 47-45 50-45 4 E81 – 4180 0-4 *(1) = Cpy - 4180 y = 4180.4 J Cp liquid Cal For Thermal Conduhul liquid X- ky - 0.637 0.4 12-21 0-644 - 9-637 ky 0-4 (0.001) + 0.631 ky 0.6398 ke [Klauid mk For Dynamic Viscosity liquid Hai 22-01 = 0.4 My - 0.596803 O. 547 x 03 - 0-596x 03 0.4% (-0.049x603) + 0.596x63 = My My = 5.764x64 EML NS My = 576-4x 10 ma Mliquid

Step 2: Formulas To (TTD) (TSat-Ts) q Heat Transfer rale perunit length m Condensahon rate q' kg sm percenit lengen htg 1 and Inf [+ 0.68 Ja] nag - Jal Cod [Tscot - Ta] nfg. For laminar Film condensation '14 ho gee lee-eu) 0,3 had 0-729 W mk Me (Tsat - TS) D [IE granity mig = 9.81 m/s²

blep 3 collellation of Ja, hig, 5o ,q, m 4180.4x [333-307 0:0460 bsteld 2359 x 03. Jal = htg a 2359x63 [1 + 0.68 0.0460] hagl) =) 2432.7895 kg Now 3 ho 27 0.729 59.8 x 989-3. [989-3-0-13] x [0.6398]x2432-7895110 576-4X100 x x (333-307) x 0.05 14 70-729 / 9695-14 x 989-17 x 0.2618 x 2432.78 X 203 O. 01498 Xo.05 6. 1060 x 627 14 0.729x 9502.6813 0-729 7.49 x64 w ño 7 6927. 0173 mo m²k

28.29 x 603 q' => 6927. 0173 x T x 0-05 [333 -301] kW 28. 29 19 7 28290.6471 7 m = 2432.7895 x 603 - 0.011628 ml = 1.162x.com2 kg & m Final Resuett Option (4) should be belected Average heat 5o = 6927. 0173 Transle coefficient W mek Condensahon Rale per cantt length 2/ k 1/8 m' 1-16 x0² sm heat transfer rake a' 28-29 KW Peruntt lengh

TABLE A-9 Properties of saturated water Vapor 2454 Temp. T, °C 0.01 5 10 15 20 25 25 30 35 40 45 50 55 60 65 70 Enthalpy Specific Saturation Density of Heat Pressure p. kg/m Vaporization C. J/kg. PsatkPa Liquid Vapor Hig, kJ/kg Liquid Vapor 0.6113 999.8 0.0048 2501 4217 1854 0.8721 999.9 0.0068 2490 4205 1857 1.2276 999.7 0.0094 2478 4194 1862 1.7051 999.1 0.0128 2466 4185 1863 2.339 998.0 0.0173 4182 1867 3.169 997.0 0.0231 2442 4180 1870 4.246 996.0 0.0304 2431 4178 1875 5.628 994.0 0.0397 2419 4178 1880 7.384 992.1 0.0512 2407 4179 1885 9.593 990.1 0.0655 2395 4180 1892 12.35 988.1 0.0831 2383 4181 1900 15.76 985.2 0.1045 2371 4183 1908 19.94 983.3 0.1304 2359 4185 1916 25.03 980.4 0.1614 2346 4187 1926 31.19 977.5 0.1983 2334 4190 1936 38.58 0.2421 2321 4193 1948 47.39 971.8 0.2935 2309 4197 1962 57.83 968.1 0.3536 2296 4201 1977 70.14 965.3 0.4235 2283 4206 1993 84.55 961.5 0.5045 2270 4212 2010 101.33 957.9 0.5978 2257 4217 2029 143.27 950.6 0.8263 2230 4229 2071 198.53 943.4 1.121 2203 4244 2120 270.1 934.6 1.496 2174 4263 2177 361.3 921.7 1.965 2145 4286 2244 475.8 916.6 2.546 2114 4311 2314 617.8 907.4 3.256 2083 4340 2420 7017 0077 nog 10 ann Thermal Conductivity Dynamic Viscosity k, W/mK u, kg/m.s Liquid Vapor Liquid 0.561 0.0171 1.792 x 10-3 0.922 x 10-5 0.571 0.0173 1.519 x 10-3 0.934 x 10-5 0.580 0.0176 1.307 x 10-3 0.946 x 10-5 0.589 0.0179 1.138 x 10-3 0.959 x 10-5 0.598 0.0182 1.002 x 10-3 0.973 x 10-5 0.607 0.0186 0.891 x 10-3 0.987 x 10-5 0.615 0.0189 0.798 x 10-3 1.001 x 10-5 0.623 0.0192 0.720 x 10-3 1.016 x 10-5 0.631 0.0196 0.653 x 1 10-3 1.031 x 10-5 0.637 0.0200 0.596 x 10-3 1.046 x 10-5 0.644 0.0204 0.547 x 10-3 1.062 x 10-5 0.649 0.0208 0.504 x 10-3 10-3 1.077 x 10-5 0.654 0.0212 0.467 x 10-3 1.093 x 10-5 0.659 0.0216 0.433 x 10-3 1.110 x 10-5 0.663 0.0221 0.404 1.126 x 10-5 0.667 0.0225 0.378 x 10-3 1.142 x 10-5 0.670 0.0230 0.355 x 10-3 1.159 x 10-5 0.673 0.0235 0.333 x 10-3 1.176 x 10-5 0.675 0.0240 0.315 x 10-3 1.193 x 10-5 0.677 0.0246 0.297 x 10-3 1.210 x 10-5 0.679 0.0251 0.282 x 10-3 1.227 x 10-5 0.682 0.0262 0.255 x 10-3 1.261 x 10-5 0.683 0.0275 0.232 x 10-3 1.296 x 10-5 0.684 0.0288 0.213 x 10-3 1.330 x 10-5 0.683 0.0301 0.197 x 10-3 1.365 x 10-5 0.682 0.0316 0.183 x 10-3 1.399 X 10-5 0.680 0.0331 0.170 x 10-3 1.434 x 10-5 Volume Prandt Expansion Number Coefficient Pr B. 1/K Liquid Vapor Liquid 13.5 1.00 -0.068 x 10-3 11.2 1.00 0.015 x 10-3 9.45 1.00 0.733 x 10-3 8.09 1.00 0.138 x 10-3 7.01 1.00 0.195 x 10-3 6.14 1.00 0.247 x 10-3 5.42 1.00 0.294 x 10-3 4.83 1.00 0.337 X 10-3 4.32 1.00 0.377 x 10- 3.91 1.00 0.415 x 10- 3.55 1.00 0.451 x 10-3 3.25 1.00 0.484 x 10- 2.99 1.00 0.517 x 10- 2.75 1.00 0.548 x 10-3 2.55 1.00 0.578 x 10-3 2.38 1.00 0.607 x 10-3 2.22 1.00 0.653 x 10-2 2.08 1.00 0.670 x 10-3 1.96 1.00 0.702 x 10-3 1.85 1.00 0.716 x 10-3 1.75 1.00 0.750 x 10-3 1.58 1.00 0.798 x 10- 1.44 1.00 0.858 x 10- 1.33 1.01 0.913 x 10- 1.24 1.02 0.970 X 10-3 1.16 1.02 1.02 1.025 x 10-3 1.09 1.05 1.145 x 10-3 102 103 117010 10-3 75 974.7 80 85 90 95 100 110 120 130 140 150 160 170 110