0
TECHNICAL PAPERS

Internal Entropy Generation Limits for Direct Sensible Thermal Storage

[+] Author and Article Information
K. O. Homan

Department of Mechanical and Aerospace Engineering and Engineering Mechanics, University of Missouri-Rolla, Rolla, Missouri 65409-0050 e-mail: khoman@umr.edu

J. Energy Resour. Technol 125(2), 85-93 (Jun 04, 2003) (9 pages) doi:10.1115/1.1576266 History: Received February 01, 2001; Revised November 01, 2002; Online June 04, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Beckmann, G., and Gilli, P. V., 1984. Thermal Energy Storage. Springer-Verlag.
Gaggioli,  R. A., 1985, “Second Law Analysis of a Solar Domestic Hot Water Heating System,” Analysis of Energy Systems-Design and Operation, 1 , pp. 135–148.
Duffie, J. A., and Beckman, W. A., 1991, Solar Engineering of Thermal Processes, Second Edition. John Wiley and Sons, Inc., New York.
Eames,  P. C., and Norton,  B., 1998, “The Effect of Tank Geometry on Thermally Stratified Sensible Heat Storage Subject to Low Reynolds Number Flows,” Int. J. Heat Mass Transfer, 41, pp. 2131–2142.
Lightstone,  M. F., Raithby,  G. D., and Hollands,  K. G. T., 1989, “Numerical Simulation of the Charging of Liquid Storage Tanks: Comparison with Experiment,” ASME J. Sol. Energy Eng., 111, pp. 225–231.
Clark, J. A., 1985, “Thermal Energy Storage,” Handbook of Heat Transfer Applications, W. M. Rohsenow, J. P. Hartnett, and E. N. Ganic’, eds. (pp. 8.1–8.40).
Homan,  K. O., Sohn,  C. W., and Soo,  S. L., 1996, “Thermal Performance of Stratified Chilled Water Storage Tanks,” Int. J. HVAC&R Research, 2, pp. 158–170.
Baines,  W. D., Martin,  W. W., and Sinclair,  L. A., 1982, “On the Design of Stratified Thermal Storage Tanks,” ASHRAE Trans., 88, pp. 426–439.
Cai,  L., Stewart,  W. E., and Sohn,  C. W., 1993, “Turbulent Buoyant Flows into a 2-D Storage Tank,” Int. J. Heat Mass Transfer, 36, pp. 4247–4256.
Musser, A., 1998, “Field Measured and Modeled Performance of Full Scale Cylindrical Stratified Chilled Water Storage Tanks,” Ph.D. thesis, Pennsylvania State University.
Spall,  R. E., 1998, “A Numerical Study of Transient Mixed Convection in Cylindrical Thermal Storage Tanks,” Int. J. Heat Mass Transfer, 41, pp. 2003–2011.
Wildin, M. W., 1984, “Use of Thermally Stratified Water Tanks to Store Cooling Capacity.” Solar Engineering 1984, Proceedings of ASME Solar Energy Division Conference.
Cook,  R. E., 1980, “Effects of Stratification in Performance and Control of Residential Electric Water Heaters,” ASHRAE Trans., 86, pp. 927–937.
Fanney,  A. H., and Dougherty,  B. P., 1996, “The Thermal Performance of Residential Electric Water Heaters Subjected to Various Off-peak Schedules,” ASME J. Sol. Energy Eng., 118, pp. 73–80.
Johnson,  G. A., and Goldschmidt,  V. W., 1983, “Standby and Recovery Behavior of a Typical Residential Gas Water Heater,” ASHRAE Trans., 89, pp. 61–75.
Schultz,  W. W., and Goldschmidt,  V. W., 1981, “Energy Performance of a Residential Electric Water Heater,” ASHRAE Trans., 87, pp. 310–334.
Schmidt, F. W., and Willmott, A. J., 1981. Thermal Energy Storage and Regeneration, Hemisphere Publishing Corporation.
Adebiyi,  G. A., and Chenevert,  D. J., 1996, “An Appraisal of One-dimensional Analytical Models for the Packed Bed Thermal Storage Systems Utilizing Sensible Heat Storage Materials,” ASME J. Energy Resour. Technol., 118, pp. 44–9.
Chen,  S. L., 1992, “One-dimensional Analysis of Energy Storage in Packed Capsules,” ASME J. Sol. Energy Eng., 114, pp. 127–30.
Howse,  J. W., Hansen,  G. A., Cagliostro,  D. J., and Muske,  K. R., 2000, “Solving a Thermal Regenerator Model Using Implicit Newton-Krylov Methods,” Numer. Heat Transfer, Part A, 38, pp. 23–44.
Liu,  W., Davidson,  J. H., and Mantell,  S. C., 2000, “Thermal Analysis for Polymer Heat Exchanger for Solar Water Heating: A Case Study,” ASME J. Sol. Energy Eng., 122, pp. 84–91.
Zollner,  A., Klein,  S. A., and Beckman,  W. A., 1985, “A Performance Prediction Methodology for Integral Collection-storage Solar Domestic Hot Water Systems,” ASME J. Sol. Energy Eng., 107, p. 265.
Dorgan, C. E., and Elleson, J. E., 1994. Design Guide for Cool Thermal Storage. American Society of Heating, Refrigerating, and Air Conditioning Engineers, Inc., Atlanta.
Bejan,  A., 1978, “Two Thermodynamic Optima in the Design of Sensible Heat Units for Energy Storage,” ASME J. Heat Transfer, 100, pp. 708–712.
Krane,  R. J., 1987, “A Second Law Analysis of the Optimum Design and Operation of Thermal Energy Storage Systems,” Int. J. Heat Mass Transfer, 30, pp. 43–57.
Moran, M. J., and Keyhani, V., 1982. “Second Law Analysis of Thermal Energy Storage Systems,” Proceedings of the Seventh International Heat Transfer Conference, vol. 6.
Bejan, A., 1996, Entropy Generation Minimization, CRC Press.
Krane,  R. J., and Krane,  M. J. M., 1992, “The Optimum Design of Stratified Thermal Energy Storage Systems-Part I: Development of the Basic Analytical Model,” J. Energy Resour., 114, pp. 197–203.
Krane,  R. J., and Krane,  M. J. M., 1992, “The Optimum Design of Stratified Thermal Energy Storage Systems-Part II: Completion of the Analytical Model, Presentation and Interpretation of the Results,” ASME J. Energy Resour. Technol., 114, pp. 204–208.
Cole,  R. L., and Bellinger,  F. O., 1982, “Thermally Stratified Tanks,” ASHRAE Trans., 88, pp. 1005–1017.
Hollands,  K. G. T., and Lightstone,  M. F., 1989, “A Review of Low-flow, Stratified-tank Solar Water Heating Systems,” Solar Energy, 43, pp. 97–105.
Tran,  N. J., Kreider,  J. F., and Brothers,  P., 1989, “Field Measurement of Chilled Water Storage Thermal Performance,” ASHRAE Trans., 95, pp. 1106–1112.
Musser,  A., and Bahnfleth,  W. P., 1998, “Evolution of Temperature Distributions in a Full-scale Stratified Chilled Water Storage Tank with Radial Diffusers,” ASHRAE Trans., 104, pp. 55–67.
Truman, C. R., and Wildin, M. W., 1989. “Finite Difference Model for Heat Transfer in a Stratified Thermal Storage Tank with Throughflow,” ASME/AIChE Nat. Heat Transfer Conf., 110 of ASME HTD.
Zurigat,  Y. H., Maloney,  K. J., and Ghajar,  A. J., 1989, “A Comparison Study of One-dimensional Models for Stratified Thermal Storage Tanks,” ASME J. Sol. Energy Eng., 111, pp. 204–210.
Oppel,  F. J., Ghajar,  A. J., and Moretti,  P. M., 1986, “A Numerical and Experimental Study of Stratified Thermal Storage,” ASHRAE Trans., 92, pp. 293–309.
Gretarsson,  S. P., Pedersen,  C. O., and Strand,  R. K., 1994, “Development of a Fundamentally Based Stratified Thermal Storage Tank Model for Energy Analysis Calculations,” ASHRAE Trans., 100, pp. 1213–1220.
Homan, K. O., 2000, “Second Law Aspects of Simplified Models for Sensible Thermal Storage,” Proceedings of the ASME Advanced Energy Systems Division, S. Garimella, M. von Spakovsky, and S. Somasundaram, eds., vol. 40.

Figures

Grahic Jump Location
Simplified schematic of a direct sensible storage vessel.
Grahic Jump Location
Entropy generation rate, σ̇f(t), for the fully-mixed limit
Grahic Jump Location
Total entropy generation, σf(t), for the fully-mixed limit
Grahic Jump Location
Profiles of local entropy generation rate, σ̇s overlayed with vertical temperature profiles for the ideally-stratified limit with (a) Pe=103 and (b) Pe=105 for τ=0.075
Grahic Jump Location
Time and Peclet number dependence of integral terms in the entropy generation rate, Eq. (21), of the ideally-stratified limit
Grahic Jump Location
Entropy generation rate in time for the fully-mixed limit, σ̇f, and the ideally-stratified limit, σ̇s, based on the local entropy generation rate computed from (a) the full solution as given in Eq. (4) and (b) the leading term of the expansion based on the approximate solution given in Eq. (5). In all cases, τ=0.075.
Grahic Jump Location
The time and Peclet number dependence of the G1 integral, Eq. (26a), in the total entropy generation of the ideally-stratified limit
Grahic Jump Location
Time and Peclet number dependence of the integral terms, Eq. (26a) and (26b), in the result for the total entropy generation of the ideally-stratified limit
Grahic Jump Location
Entropy generation number, as defined by Eq. (30), for the ideally-stratified limit
Grahic Jump Location
Profiles of local entropy generation rate, σ̇m overlayed with vertical temperature profiles for the mixing-height model with (a) Pe=103 and (b) Pe=105 for ym=0.05 and τ=0.075
Grahic Jump Location
Total entropy generation for the mixing height model with σm,t computed from the integral balance, Eq. (11), and σm,α computed from the local rate, Eq. (15), for (a) Pe=103 and (b) Pe=105 with τ=0.075
Grahic Jump Location
Entropy generation number for the mixing-height model at several typical mixing heights with τ=0.075

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In