The momentum equation for a control volume fixed in space is given by: fff pv av....

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The momentum equation for a control volume fixed in space is given by: fff pv av. + ff(pv · dsv = − ff((p − P.)ds + ff, pfdV + Friscous d dt Show how this equation would need to be modified if it were applied to each of the following (different) scenarios: a) A control volume defined in a flow at steady state for which this no fluid is passing the boundaries. which b) A control volume defined in a flow at steady state for which gravitational forces and pressure forces can be neglected. c) A control volume defined in a flow at steady state where the friction on a wall boundary can be neglected. d) A control volume defined around a fluid in an open tank fitted with a pinhole at the bottom from which fluid leaks out from over time. e) A control volume defined around a steady state flow that is only pressure driven. For case e): Express in p, in terms of all other variables, where D is a diameter V₁ P₁ D V₂ P2 D The momentum equation for a control volume fixed in space is given by: fff pv av. + ff(pv · dsv = − ff((p − P.)ds + ff, pfdV + Friscous d dt Show how this equation would need to be modified if it were applied to each of the following (different) scenarios: a) A control volume defined in a flow at steady state for which this no fluid is passing the boundaries. which b) A control volume defined in a flow at steady state for which gravitational forces and pressure forces can be neglected. c) A control volume defined in a flow at steady state where the friction on a wall boundary can be neglected. d) A control volume defined around a fluid in an open tank fitted with a pinhole at the bottom from which fluid leaks out from over time. e) A control volume defined around a steady state flow that is only pressure driven. For case e): Express in p, in terms of all other variables, where D is a diameter V₁ P₁ D V₂ P2 D

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a For a control volume defined in a flow at steady state for which no fluid is passing the boundaries the equation can be simplified to ovav pVdV 0 Th... View the full answer