a) Which molecular motion causes the momentum transfer? In which states of matter can you observe momentum transfer? Why? [5 pts] b) For the fluid flowing in the pipe in Fig. Q1.1, b.1) What are the reasons of the flow? Show the flow direction with the reasons. Give the name of the flow. [3 pts] b.2) If the flow is the fully developed flow, explain the momentum transfer direction with the reasons. [3 pts] b.3) Write the boundary conditions for the pipe flow. Explain the molecular basis of these boundary conditions in terms of molecular interactions. [3 pts] b.4) Schematically plot velocity and shear stress distributions on the figure. [3 pts] c) Explain the types of transfer mechanisms in this pipe flow. Write the momentum balance equation to find shear stress and velocity distributions at steady state using the following general momentum balance equation: Write shear stress t, force EF and area A terms for this system. [6 pts] [(Tm + te A]l out - [(Tm + te A]lin t EF = d(mV)/dt d) Define Reynolds number, Re for both d.1) the flow in Fig. Q1.1 [2 pts] and d.2) If the fluid flow in the pipe filling the half of the pipe [4 pts] as Fig. Q1.2 d.3) Explain physical meaning of Re. [2 pts] d.4) If fluid flowing in systems given in Figs. Q1.1 and Q1.2 is gas oil, Calculate the Reynolds numbers. Pipe is 1 in nominal size (33.7/ 3.25 mm). Density and kinematic viscosity of the gas oil are 789 kg/m3 and 90 SSU, respectively. Mass flow rate of the gas oil is 0.46 kg/s. [4 pts] 1. (2) Di: inner diameter of the pipe P1: P2: Pressure at point (2) (P= 200000 Pa) O: angle (inclintion of the pipe) m : mass flow rate at point (1) m,: mass flow rate at point (2) ure at point (1) (P= 300000 Pa) Figure Q1.1 Flow through an inclined pipe