What is the value of surface integral between surface 1 and 2 of the control volume while finding the continuity equation?

Quasi-One-Dimensional Flow topics include: Governing equations, area velocity relations, nozzles, quasi one dimensional flow diffusers and wave reflection. Quasi-one-dimensional flow is a type of flow where all variables change primarily along one direction. The cross-sectional area of the stream tubes can vary along the same direction as the flow. For the equations to be valid, the variation in cross-sectional area must be smooth.  In a quasi-one-dimensional flow, the cross-section is allowed to vary smoothly, but flow quantities vary in one direction only. The main difference between 1D... Show more

Quasi-One-Dimensional Flow topics include: Governing equations, area velocity relations, nozzles, quasi one dimensional flow diffusers and wave reflection.

Quasi-one-dimensional flow is a type of flow where all variables change primarily along one direction. The cross-sectional area of the stream tubes can vary along the same direction as the flow. For the equations to be valid, the variation in cross-sectional area must be smooth. 

In a quasi-one-dimensional flow, the cross-section is allowed to vary smoothly, but flow quantities vary in one direction only. The main difference between 1D and quasi-1D flows is the cross-sectional area of the passage. For quasi-1D flows, it is no longer constant, but is a function of the location. 

A flow in a duct with slowly-varying area is an example of a quasi-one-dimensional flow. In practice, this means that the slope of the duct walls is small. 

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