Water at a temperature of 150 F is to be used to heat glycerin in a 4x3-std type M copper tubing heat exchanger that is 10 ft long. The water flow rate is 10 lbm/s. Glycerin is flowing inside the inner pipe and is available at a temperature of 75 F. Determine water and glycerin outlet temperatures as a function of glycerin flow rate, which ranges from 0.01 to 1 lbm/s. (You should derive all necessary equations and then code a MATLAB function file with the glycerin flow rate an imput variable. You can then call this function for plot the variation of two exit temperature as functions of the glycerin flow rate.) TABLE B.4. Properties of saturated liquids: glycerin C3H5(OH)3. Specific Heat C, BTU Thermal Conductivity k W BTU Kinematic Thermal Temp Specific L C F Gravity kg-K Ibm.R m2/sx 10 ft/s x 102 m-K hr-ft.R m?/s x 10 ft/hr x 10 Number Pr Viscosity v Diffusivity a Prandtl 8.95 32 10 50 1.276 1.270 2 261 0.540 8.31 0.282 9.83 3.81 3.47 3.67 3.60 3.54 3.46 0.163 84 700 2319 2 386 0.554 0.570 3.00 3.23 1.27 0.54 0.284 0.286 0.286 0.286 0.164 0.156 0.165 0.165 31 000 12 500 5 380 9.65 20 68 30 86 1.264 1.18 9.47 9.29 1.258 2445 0.584 0.50 40 104 1.252 2 512 0.600 0.617 0.22 0.15 0.24 9.14 2 450 50 122 1.244 2 583 0.16 0.287 0.166 8.93 1630 B= 0.50 x 10/K = 0.28 x 10/R Example of reading values: kinematic viscosity at 0C is v= 8,31 x 103 m/s