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Research Papers: Petroleum Engineering

Maximum Power From Fluid Flow by Applying the First and Second Laws of Thermodynamics

[+] Author and Article Information
German Amador Diaz

Department of Mechanical Engineering,
Universidad del Norte,
Barranquilla 080003, Colombia
e-mail: gjamador@uninorte.edu.co

Jorge Duarte Forero

Department of Mechanical Engineering,
Universidad del Norte,
Barranquilla 080003, Colombia;
Department of Mechanical Engineering,
Universidad Antonio Narino,
Barranquilla 080003, Colombia
e-mail: jduartee@uninorte.edu.co

Jesus Garcia

Department of Mechanical Engineering,
Universidad del Norte,
Barranquilla 080003, Colombia
e-mail: jesusmg@uninorte.edu.co

Adriana Rincon

Department of Mechanical Engineering,
Universidad del Norte,
Barranquilla 080003, Colombia
e-mail: afrincon@uninorte.edu.co

Armando Fontalvo

Department of Mechanical Engineering,
Universidad del Norte,
Barranquilla 080003, Colombia
e-mail: aefontalvo@uninorte.edu.co

Antonio Bula

Department of Mechanical Engineering,
Universidad del Norte,
Barranquilla 080003, Colombia
e-mail: bula@uninorte.edu.co

Ricardo Vasquez Padilla

School of Environment,
Science and Engineering,
Southern Cross University,
Lismore, New South Wales 2480, Australia
e-mail: ricardo.vasquez.padilla@scu.edu.au

1Corresponding author.

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received February 2, 2016; final manuscript received October 3, 2016; published online November 16, 2016. Editor: Hameed Metghalchi.

J. Energy Resour. Technol 139(3), 032903 (Nov 16, 2016) (8 pages) Paper No: JERT-16-1067; doi: 10.1115/1.4035021 History: Received February 02, 2016; Revised October 03, 2016

The application of equilibrium thermodynamics in the study of thermal plant performance under real operating conditions is a constant challenge. In this paper, an analysis of a reservoir pressure piston working between two linear flow resistances is performed by considering the friction of the piston cylinder system on the walls. The proposed model is developed to obtain the optimum power output and speed of the piston in terms of first law efficiency. If the friction on the piston–cylinder assembly is neglected, the expressions obtained are consistent with those presented in the literature under laminar regime. It was also demonstrated that for both laminar and turbulent regimes with overall size constraints, the power delivered can be maximized by balancing the upstream and downstream flow resistances of the piston. This paper also evaluated the influence of the overall size constraints and flow regime on the performance of the piston cylinder. This analysis is equivalent to evaluate the irreversibilities in an endo-irreversible Carnot heat engine with heat loss resistance between the engine and its heat reservoirs. The proposed model introduced some modifications to the results obtained from the recent literature and led to important conclusions. Finally, the proposed model was applied to calculate the lost available work in a turbine operating at steady flow conditions with an ideal gas as working fluid.

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References

Figures

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Fig. 1

System piston cylinder

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Fig. 2

Optimal speed and maximum actual work rate. Data input is given in Table 1.

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Fig. 3

System with pressure reservoir on the same side of the piston, and constant thickness. Adapted from Ref. [4].

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Fig. 4

Optimum spacing value for different geometry and flow regimens

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Fig. 5

Analogy between lost available work rate in a mechanical and thermomechanical power converter. Adapted from Ref. [4].

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Fig. 6

Reversible, actual work rate, and irreversibilities of the piston cylinder system. Data input is given in Table 1.

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Fig. 7

Lost available work rate in an isentropic, adiabatic turbine with pressure drops

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Fig. 8

Effect of variation of the entrance pressure drop on irreversibilities of the system

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Fig. 9

Actual, reversible, and lost available work of expansion process of the turbine

Tables

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