f11_12_ps04_s04

f11_12_ps04_s04 - Spring 2004 Unified Engineering Fluids...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Spring 2004 Unified Engineering Fluids Problems F11–F14 F11+12. Air is drawn at high speed out of a large reservoir through a duct of constant area ˙ A, which contains a radiator delivering a known Q to the flow (in Watts). The heating and friction of the duct walls are negligible. . Q h o 1 � 1 p 1 V1 h o �o po h o 2 � 2 p 2 V2 The known flow quantities are: ho = ho1 reservoir total enthalpy �o reservoir total density po reservoir total pressure p2 outlet pressure (drives the flow) The remaining six unknown quantities inside the duct are: ho2 outlet total enthalpy V1 inlet velo city V2 outlet velo city �1 inlet density �2 outlet density p1 inlet pressure A total of six equations are needed to solve for the six unknowns. One of these equations is the isentropic relation b etween the reservoir and station 1, p1 = po � ho1 − 1 V12 2 ho �� /(� −1) and two additional ones are the state equations at stations 1 and 2. �−1 1 �1 ho1 − V12 2 � � �−1 12 = � 2 ho 2 − V 2 2 � p1 = p2 � Write down the remaining three equations by constructing a suitable control volume and applying the integral mass, momentum, energy equations. (Do not try to solve the six equations — it gets very messy!) ...
View Full Document

Ask a homework question - tutors are online