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

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”}
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”}
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”}
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].

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”}
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”}
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”}
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”}
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”}
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”}
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”}
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”}
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”}
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]
  1. Gnielinski, “New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow,” Int. Chem. Eng., (16): 359-368, 1976.
[Gungor1987]
    1. 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.
[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]
  1. 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.
[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]
  1. 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