Heat Transfer Methods¶
A selection of single-phase and 2-phase heat transfer relations.
Parameters¶
- flowIn : FlowState
- Incoming fluid.
- flowOut : FlowState
- Outgoing fluid.
- b : float
- Corrugated plate channel spacing [m].
- beta : float
- Corrugated plate chevron angle [degrees].
- N : int
- Number of parallel flow channels of the fluid.
- Nu : float
- Nusselt number.
- De : float
- Equivalent diameter [m]. .. note: Equivalent diameter may be equal to the hydraulic diameter, such as for circular cross sections.
- Dh : float
- Hydraulic diameter [m].
- f : float
- Fanning friction factor.
- G : float
- Mass flux [Kg/m^2.s ].
- geom : Geom
- Main geometry corresponding to the flow.
- geom2 : Geom
- Secondary geometry related to the flow (usually a geometry of another flow).
- k : float
- Thermal conductivity [W/m.K].
- L : float
- Length of heat transfer area parallel to the flow [m] (plate or pipe length).
- phi : float
- Corrugated plate surface enlargement factor; ratio of developed length to projected length.
- pitchCorr : float
- Plate corrugation pitch [m] (distance between corrugation ‘bumps’). .. note: Not to be confused with the plate pitch which is usually defined as the sum of the plate channel spacing and one plate thickness.
- rho : float
- Mass density [Kg/m^3].
- W : float
- Width of heat transfer area perpendicular to the flow [m] (plate or pipe width).
Returns¶
- h: float
- Heat transfer coefficient [W/m^2.K].
- f: float
- Fanning friction factor [-].
- dpF: float
- Frictional pressure drop of the fluid [Pa].
Library¶
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mcycle.methods.heat_transfer.
chen_tpEvap_h
(flowIn, flowOut, Dh, De, Ac, L, N=1, g=9.81, vertical=False)¶ Two-phase evporation, heat, valid for GeomDuctCircular, GeomHxPlateSmooth. [Chen1962] Chen, J. C. A correlation for boiling heat transfer to saturated fluids in convective flow Ind. Eng. Chem. Process Des. Dev., Vol 5, 322-329, 1962.
Method as described in [Kakaç1998].
Returns: dict of float : {“h”}
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mcycle.methods.heat_transfer.
chisholmWannairachchi_sp
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None) → dict¶ Single phase, heat and friction, valid for GeomHxPlateCorrChevron. [Chisholm1992] Chisholm D. Wanniarachchi, A. S. Maldistribution in single-pass mixed-channel plate heat exchangers. ASME, 1992, 201, 95-99.
Returns: dict of float : {“h”, “f”, “dpF”}
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mcycle.methods.heat_transfer.
dittusBoelter_sp_h
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None) → dict¶ Single-phase, heat, valid for GeomDuctCircular, GeomHxPlateSmooth. [Kakaç1998] Kakaç, S. & Liu, H. Heat exchangers : selection, rating, and thermal design, CRC Press, 1998.
Returns: dict of float : {“h”}
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mcycle.methods.heat_transfer.
dpf
(double f, double G, double L, double Dh, double rho, int N) → double¶ float: dpF, single-phase pressure drop due to friction [Pa].
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mcycle.methods.heat_transfer.
gnielinski_sp
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None) → dict¶ Single-phase, heat and friction, valid for GeomDuctCircular, GeomHxPlateSmooth. [Gnielinski1976] V. Gnielinski, “New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow,” Int. Chem. Eng., (16): 359-368, 1976.
Returns: dict of float : {“h”, “f”, “dpF”}
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mcycle.methods.heat_transfer.
gungorWinterton_tpEvap_h
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None, vertical=False) → dict¶ Two-phase evaporation, heat, valid for GeomHxPlateSmooth. [Gungor1987] K. E. Gungor and R. H. S. Winterton, “Simplified general correlation for saturated flow boiling and comparison with data,” Chemical Engineering Research and Design, vol. 65, no. 2, pp. 148-–156, 1987. As cited in [Zhou2013] Z. Zhou, X. Fang , D. Li , “Evaluation of Correlations of Flow Boiling Heat Transfer of R22 in Horizontal Channels,”The Scientific World Journal, vol. 2013, Article ID 458797, 14 pages, doi:10.1155/2013/458797
Returns: dict of float : {“h”}
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mcycle.methods.heat_transfer.
hanLeeKim_tpCond
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None) → dict¶ Two-phase condensation, heat and friction, valid for GeomHxPlateCorrChevron.Data collected for: R410A and R22, with beta = 45, 35, 20deg. [Han2003] Han, D.-H.; Lee, K.-J. & Kim, Y.-H. The Characteristics of Condensation in Brazed Plate Heat Exchangers with Different Chevron Angles Korean Physical Society, 2003, 43, 66-73.
Returns: dict of float : {“h”, “f”, “dpF”}
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mcycle.methods.heat_transfer.
htc
(double Nu, double k, double De) → double¶ float: h, heat transfer co-efficient [W/m^2.K].
-
mcycle.methods.heat_transfer.
manglikBergles_offset_sp
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None) → dict¶ Single-phase and two-phase (evaporation and condensation), heat and friction, valid for GeomHxPlateFinOffset. [Manglik1995] Manglik and Bergles, Heat transfer and pressure drop correlations for the rectangular offset strip fin compact heat exchanger, Experimental Thermal and Fluid Science, Elsevier, 1995, 10, pp. 171-180. doi:10.1016/0894-1777(94)00096-q.
Returns: dict of float : {“h”, “f”, “dpF”}
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mcycle.methods.heat_transfer.
muleyManglik_sp
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None) → dict¶ Single phase, heat and friction, valid for GeomHxPlateCorrChevron. [Muley1999] Muley, A. and Manglik, R. M., Experimental Study of Turbulent Flow Heat Transfer and Pressure Drop in a Plate Heat Exchanger with Chevron Plates, Journal of Heat Transfer, vol. 121, no. 1, pp. 110–117, 1999.
Data collected for: steam, 30<=beta<=60, 1<=phi<=1.5
Returns: dict of float : {“h”, “f”, “dpF”}
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mcycle.methods.heat_transfer.
savostinTikhonov_sp
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None) → dict¶ Single phase, heat and friction, valid for GeomHxPlateCorrChevron. [Savostin1970] Savostin, A. F. & Tikhonov, A. M. Investigation of the Characteristics of Plate Type Heating Surfaces Thermal Engineering, 1970, 17, 113-117.
Data collected for: air
Returns: dict of float : {“h”, “f”, “dpF”}
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mcycle.methods.heat_transfer.
shah_sp_h
(flowIn=None, flowOut=None, N=None, geom=None, L=None, W=None, **kwargs)¶ Single-phase, heat, valid for GeomDuctCircular, GeomHxPlateSmooth. [Kakaç1998] Kakaç, S. & Liu, H. Heat exchangers : selection, rating, and thermal design, CRC Press, 1998.
Returns: dict of float : {“h”}
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mcycle.methods.heat_transfer.
shah_tpCond_h
(flowIn, flowOut, Dh, De, Ac, L, N=1, g=9.81, vertical=False)¶ Two-phase evporation, heat, valid for GeomDuctCircular, GeomHxPlateSmooth. [Shah2009] Shah, M. M. An improved and extended general correlation for heat transfer during condensation in plain tubes Hvac&R Research, Taylor & Francis, 2009, 15, 889-913. doi:10.1080/10789669.2009.10390871
Returns: dict of float : {“h”}
-
mcycle.methods.heat_transfer.
shah_tpEvap_h
(flowIn=None, flowOut=None, N=None, geom=None, L=None, W=None, vertical=False, **kwargs)¶ Two-phase evporation, heat, valid for GeomDuctCircular, GeomHxPlateSmooth. [Shah1976] Shah, M. M. A new correlation for heat transfer during boiling flow through pipes Ashrae Trans., 1976, 82, 66-86.
Returns: dict of float : {“h”}
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mcycle.methods.heat_transfer.
techo_sp_f
(flowIn, flowOut, Dh, Ac, L, N=1)¶ Single-phase, friction, valid for GeomDuctCircular, GeomHxPlateSmooth. [Techo1965] R. Techo, R. R. Tickner, and R. E. James, “An Accurate Equation for the Computation of the Friction Factor for Smooth Pipes from the Reynolds Number,” J. Appl. Mech. (32): 443, 1965.
Returns: dict of float : {“f”, “dpF”}
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mcycle.methods.heat_transfer.
yanLin_tpEvap
(FlowState flowIn, FlowState flowOut, int N, Geom geom, double L, double W, Geom geom2=None) → dict¶ Two-phase evaporation, heat and friction, valid for GeomHxPlateCorrChevron. [Yan1999] Yan, Y.-Y. & Lin, T.-F. Evaporation Heat Transfer and Pressure Drop of Refrigerant R-134a in a Plate Heat Exchanger Journal of Heat Transfer Engineering, 1999, 121, 118-127. doi:10.1115/1.2825924
Data collected for: R134a, beta=60deg, 2000<Re<8000.
Returns: dict of float : {“h”, “f”, “dpF”}
References¶
[Chen1962] | Chen, J. C. A correlation for boiling heat transfer to saturated fluids in convective flow Ind. Eng. Chem. Process Des. Dev., Vol 5, 322-329, 1962. |
[Chisholm1992] | Chisholm D. Wanniarachchi, A. S. Maldistribution in single-pass mixed-channel plate heat exchangers. ASME, 1992, 201, 95-99. |
[Gnielinski1976] |
|
[Gungor1987] |
|
[Han2003] | Han, D.-H.; Lee, K.-J. & Kim, Y.-H. The Characteristics of Condensation in Brazed Plate Heat Exchangers with Different Chevron Angles Korean Physical Society, 2003, 43, 66-73. |
[Kakaç1998] | (1, 2, 3) Kakaç, S. & Liu, H. Heat exchangers: selection, rating, and thermal design, CRC Press, 1998. |
[Manglik1995] | Manglik and Bergles, Heat transfer and pressure drop correlations for the rectangular offset strip fin compact heat exchanger, Experimental Thermal and Fluid Science, Elsevier, 1995, 10, pp. 171-180. doi:10.1016/0894-1777(94)00096-q. |
[Muley1999] | Muley, A. and Manglik, R. M., Experimental Study of Turbulent Flow Heat Transfer and Pressure Drop in a Plate Heat Exchanger with Chevron Plates, Journal of Heat Transfer, vol. 121, no. 1, pp. 110–117, 1999. |
[Savostin1970] | Savostin, A. F. & Tikhonov, A. M. Investigation of the Characteristics of Plate Type Heating Surfaces Thermal Engineering, 1970, 17, 113-117. |
[Shah1976] | Shah, M. M. A new correlation for heat transfer during boiling flow through pipes Ashrae Trans., 1976, 82, 66-86. |
[Shah2009] | Shah, M. M. An improved and extended general correlation for heat transfer during condensation in plain tubes Hvac&R Research, Taylor & Francis, 2009, 15, 889-913. doi:10.1080/10789669.2009.10390871 |
[Techo1965] |
|
[Yan1999] | Yan, Y.-Y. & Lin, T.-F. Evaporation Heat Transfer and Pressure Drop of Refrigerant R-134a in a Plate Heat Exchanger Journal of Heat Transfer Engineering, 1999, 121, 118-127. doi:10.1115/1.2825924 |
[Zhou2013] |
|