Question: Determining fluid flow through pipes and tubes has great relevance in many areas of engineering and science. The resistance to flow in such conduits is

Determining fluid flow through pipes and tubes has great relevance in many areas of engineering and science. The resistance to flow in such conduits is parameterized by a dimensionless number called the friction factor (). In 1944, Lewis Ferry Moody plotted the DarcyWeisbach friction factor against Reynolds number (Re) for various values of relative roughness (/D). This chart is commonly known as the Moody Chart or Moody Diagram (Figure 1). For turbulent flow (Re > 4000), the Colebrook equation provides a means to calculate the friction factor, as follows: + ( . + . ) = = Roughness (m), D = Diameter (m), Re = Reynolds Number Considering relative roughness = 0.025 and Reynolds number = 20000, determine the value of friction factor by using MS-EXCEL and the inbuilt solver available in MATLAB. Please mention clearly both the answers in the report. [3+2 = 5 Marks] Figure 1: Moody Chart Q2. Figure 2 depicts five interconnected reactors. Use mass balance equations under steady state (i.e., mass in = mass out) to formulate linear equations as a function of the concentrations (, , , , ). Use the inbuilt solver available in MATLAB to solve for these unknown concentrations. You may directly write in the report the Ax = b form and mention the answers obtained from the solver.

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