20 P (20 points) A device has been proposed that will serve as a "blood oxygenator for a heart- ung bypass machine, as shown in the figure in the next column. In this process, blood containing no dissolved oxygen (0 species enters the top of the chamber and then als verticaly down as a liquid film of uniform thickness, along a surface designed to appropriately wet blood Contacting the liquid surface is a 100% O2ga phase Oxygen is soluble in blood, where the equilibrium solubility ca in function of the partial pressure of oxygen gas. In analyzing the mass transport of dissolved cxygen into the falling firm, you may assume the following: (1) the process has a constant source of O2 lon) and a constant sink dating liquid fim. and so is at steady states the process is diute with respect to dissolved oxygen dissolved the fluid, (3) the falling iquid film has a flat velocity profile with velocity maxi (4) the gas space always contains 100% oxygen (5} the width of the liquid fim. W is much larger than the length of the liquid im L. NOTE: A Drawing is provided in the textbook in Figure P25.4. a. (10 points) State assumption Simplify the general differential equation for transfer, leaving the differential equation in terms of the test your analysis suggests more than one dimension for flux, provide a simplified Mux equation for each coordinate of interest points Provide one simplified differential equation informs of the oxygen concentration CA 5 points) Provide boundary conditions associated with the oxygen mass-transfer process Attach File Blood containing no dissolved oxygen SIDE VIEW Z=0 Inlet blood Z=0 Chamber Falling for O, gas liquid Z=L film Inert 100% solid O2 gas 100% b, gas surface 1.0 atrh. 25C , Falling liquid film (blood) w Vm Z=L *x Exiting oxygenated blood xholm x=8 x = 0 Exiting oxygenated blood, 40C