3) Consider the flow of a Newtonian fluid in a vertical concentric annulus under steady conditions as shown in the Figure below. A constant pressure gradient is imposed in the positive z direction while the inner rod is stationary. Derive a) dif. eqn and BCs (list your assumptions and use MODIFIED PRESSURE see supp. info given in the back)), b) velocity distribution, c) shear stress. d) volumetric flowrate, e) average velocity f) Integrate dif. Eqn derived in a to obtain macroscopic equation (show intergration and limits) g) Write drag force 3) Consider the flow of a Newtonian fluid in a vertical concentric annulus under steady conditions as shown in the Figure below. A constant pressure gradient is imposed in the positive z direction while the inner rod is stationary. Derive a) dif. eqn and BCs (list your assumptions and use MODIFIED PRESSURE see supp. info given in the back)), b) velocity distribution, c) shear stress. d) volumetric flowrate, e) average velocity f) Integrate dif. Eqn derived in a to obtain macroscopic equation (show intergration and limits) g) Write drag force