A flow nozzle is a device for measuring the flow rate in a pipe. This particular nozzle is to be used to measure low-speed air flow for which compressibility may be neglected. During operation, the pressures \(p_{1}\) and \(p_{2}\) are recorded, as well as upstream temperature, \(T_{1}\). Find the mass flow rate in terms of \(\Delta p=p_{2}-p_{1}\) and \(T_{1}\), the gas constant for air, and device diameters \(D_{1}\) and \(D_{2}\). Assume the flow is frictionless. Will the actual flow be more or less than this predicted flow? Why?

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D1 D2 Flow P6.53