Abstract
This chapter is confined to the application of the first law of thermodynamics to steady-flow processes, i.e. those processes defined by two fundamental principles:
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(a)
Steady mass flow rate m = pAu (mass continuity)
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where ρ = fluid density
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A = duct area
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u = fluid velocity
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and \(\dot m = steady mass flow rate = \left( {\frac{{dm}}{{dt}}} \right)\).
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(This is usually recast as ṁv = uA since v = 1/ρ.)
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(b)
Conservation of energy (the steady-flow energy equation or SFEE for short):
$$_1{\dot Q_2}{ - _1}{\dot W_2} = \dot m\left[ {\left( {{h_2} - {h_1}} \right) + \frac{1}{2}\left( {u_2^2 - u_1^2} \right) + g\left( {{z_2} - {z_1}} \right)} \right]$$where z = height above datum (all other symbols as before).
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© 1987 G. Boxer
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Boxer, G. (1987). First Law of Thermodynamics—Flow Processes. In: Work Out Engineering Thermodynamics. Macmillan Work Out Series. Palgrave, London. https://doi.org/10.1007/978-1-349-09346-5_6
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DOI: https://doi.org/10.1007/978-1-349-09346-5_6
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-43664-6
Online ISBN: 978-1-349-09346-5
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