(a) An incompressible fluid ( = constant) flows through a pipe of constant cross-sectional area. If the...

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(a) An incompressible fluid (ρ = constant) flows through a pipe of constant cross-sectional area. If the flow is steady, show that velocity u and volumetric flow rate q are constant.
(b) A chemically reactive gas stream flows steadily through a pipe of constant cross-sectional area. Temperature and pressure vary with pipe length. Which of the following quantities are necessarily constant: ṁ, ṅ, q, u?

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