1. The equation for the Reynolds number for a pipe flow is Re-PvD where p...

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1. The equation for the Reynolds number for a pipe flow is Re-PvD μ where p = mass density 32 v = velocity of the flow D-diameter of the pipe [L] - viscosity of the fluid [FIT] [¹²] (a) Show that the Reynolds number has no dimensions (is dimensionless). The Reynolds number is used to characterize the flow. A pipe flow is said to be laminar if Re <2300, transitional if 2300 10000. For a particular flow of a fluid in a pipe p - 1260 kg/m³ and μ-0.798×10 Pas. A pressure tap inserted into the flow measures the pressure as P-240 kPa. The pressure is related to velocity by -D₂² 2 Note that 1 Pa=1 N/m². (b) Calculate the velocity of the fluid in the pipe. (c) Calculate the Reynolds number for this flow and use it to decide whether this flow is laminar, transitional or turbulent? 1. The equation for the Reynolds number for a pipe flow is Re-PvD μ where p = mass density 32 v = velocity of the flow D-diameter of the pipe [L] - viscosity of the fluid [FIT] [¹²] (a) Show that the Reynolds number has no dimensions (is dimensionless). The Reynolds number is used to characterize the flow. A pipe flow is said to be laminar if Re <2300, transitional if 2300 10000. For a particular flow of a fluid in a pipe p - 1260 kg/m³ and μ-0.798×10 Pas. A pressure tap inserted into the flow measures the pressure as P-240 kPa. The pressure is related to velocity by -D₂² 2 Note that 1 Pa=1 N/m². (b) Calculate the velocity of the fluid in the pipe. (c) Calculate the Reynolds number for this flow and use it to decide whether this flow is laminar, transitional or turbulent?

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