Usedimensionless analysis method to obtain the form of therelationship between the fundamental variables (if such arelationship exists).
A sophmore biomedical engineering student has just been introduced to the concept of mass transfer coefficient Mass transfer coefficient is an empirical parameter often used in mass transfer analysis when mass transfer occurs between a solid surfacc and a flowing fluid past it. Based on this, he speculates that a relation of the form shown below must exist for blood flowing through an artery: k Ax= f(v, C, mu, D AB, rho, D) where k Ax = mass transfer coefficient of component A (mol cm-2 s-1) v = average velocity of the blood (cm s-1 c = molar concentration, mol cm-3 D AB = Diffusion coefficient, cm2 s-1 D = diameter of artery, cm mu = viscosity of blood, g cm-1 s-1 rho = density of fluid, g cm-3 Use dimensionless analysis method to obtain the form of the relationship between the fundamental variables (if such a relationship exists).
Show transcribed image text A sophmore biomedical engineering student has just been introduced to the concept of mass transfer coefficient Mass transfer coefficient is an empirical parameter often used in mass transfer analysis when mass transfer occurs between a solid surfacc and a flowing fluid past it. Based on this, he speculates that a relation of the form shown below must exist for blood flowing through an artery: k Ax= f(v, C, mu, D AB, rho, D) where k Ax = mass transfer coefficient of component A (mol cm-2 s-1) v = average velocity of the blood (cm s-1 c = molar concentration, mol cm-3 D AB = Diffusion coefficient, cm2 s-1 D = diameter of artery, cm mu = viscosity of blood, g cm-1 s-1 rho = density of fluid, g cm-3 Use dimensionless analysis method to obtain the form of the relationship between the fundamental variables (if such a relationship exists).