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(c) Note that V will appear on both sides of the equation. This form of equation is meant to find Ap when the average velocity V is known. However, let's say we know Ap and we wish to find V. The above form is then not useful as V appears in multiple terms. Since,non-dimensional numbers can be multiplied or divided by any other non-dimensional group to obtain a different non-dimensional group, then use this idea to re-arrange the function so that V-based parameter is isolated on the left-hand side and V appears only on the left hand side. (Note that, in doing this, the total number of non-dimensional groups should not change, just their form will be different!)2 (d) For 0.005, use the following data to make a plot of your new function, with yourvelocity parameter as an ordinate. Use Matlab or any other plotting software you arefamiliar with. Since the numbers have a wide range, it will be useful to plot log(Y)versus log(X), where Y and X are your velocity-based and pressure-based parameters,respectively. Here Rep = pVD/µ is the Reynolds number based on the diameter of thepipe.

(e) Use your plot to determine V in m/s, for the following flow: D = 5 cm, € = 0.025 cm,L = 10 m, for water with density p = 998kg/m³ and µ = 0.001kg/m.s. The pressure drop is deltap= 110kPa.

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