ADWallHTCGnielinskiAnnularMaterial

The material computes the convective heat transfer coefficient using the Gnielinski correlation for turbulent flow in annular ducts (Gnielinski, 2010).

The Nusselt number is calculated as follows:

Nu=(fann/8)RePrk1+12.7fann/8(Pr2/31)[1+(DhL)2/3]FannK,\text{Nu} = \frac{(f_\text{ann}/8) \text{Re} \text{Pr}}{k_1 + 12.7\sqrt{f_\text{ann}/8}(\text{Pr}^{2/3} - 1)} \left[1 + \left(\frac{D_h}{L}\right)^{2/3}\right] F_\text{ann} K \,,k1=1.07+900Re0.631+10Pr,k_1 = 1.07 + \frac{900}{\text{Re}} - \frac{0.63}{1 + 10\text{Pr}} \,,fann=(1.8log10Re1.5)2,f_\text{ann} = (1.8 \log_{10}\text{Re}^* - 1.5)^{-2} \,,Re=Re(1+a2)lna+(1a2)(1a)2lna,\text{Re}^* = \text{Re} \frac{(1 + a^2)\ln a + (1 - a^2)}{(1 - a)^2 \ln a} \,,K={(TTw)nFluid is gas(PrPrw)0.11Fluid is liquid,K = \left\{\begin{array}{l l} \left(\frac{T}{T_w}\right)^n & \text{Fluid is gas} \\ \left(\frac{\text{Pr}}{\text{Pr}_w}\right)^{0.11} & \text{Fluid is liquid} \end{array}\right. \,,Fann={0.75a0.17Heat transfer at inner wall0.90.15a0.6Heat transfer at outer wall,F_\text{ann} = \left\{\begin{array}{l l} 0.75 a^{-0.17} & \text{Heat transfer at inner wall} \\ 0.9 - 0.15 a^{0.6} & \text{Heat transfer at outer wall} \end{array}\right. \,,Dh=DoDi,D_h = D_o - D_i \,,a=DiDo,a = \frac{D_i}{D_o} \,,

where:

  • Re\text{Re} is the Reynolds number,

  • Pr\text{Pr} is the Prandtl number,

  • Prw\text{Pr}_w is the Prandtl number obtained by evaluating properties at the wall temperature,

  • LL is the channel length,

  • TT is the fluid temperature,

  • TwT_w is the wall temperature, and

  • nn is the gas exponent, which varies by gas and situation.

Lastly, the heat transfer coefficient is calculated as

h=NukDh.h = \frac{\text{Nu} k}{D_h} \,.

Input Parameters

  • D_innerInner diameter of the annulus [m]

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Inner diameter of the annulus [m]

  • D_outerOuter diameter of the annulus [m]

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Outer diameter of the annulus [m]

  • at_inner_wallFalseTrue if heat transfer is at inner wall

    Default:False

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:No

    Description:True if heat transfer is at inner wall

  • channel_lengthChannel length [m]

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Channel length [m]

  • fluid_is_gasFalseTrue if the fluid is a gas

    Default:False

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:No

    Description:True if the fluid is a gas

  • fluid_propertiesFluid properties object

    C++ Type:UserObjectName

    Unit:(no unit assumed)

    Controllable:No

    Description:Fluid properties object

Required Parameters

  • TTFluid temperature material property

    Default:T

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Fluid temperature material property

  • T_wallT_wallWall temperature material property

    Default:T_wall

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Wall temperature material property

  • blockThe list of blocks (ids or names) that this object will be applied

    C++ Type:std::vector<SubdomainName>

    Unit:(no unit assumed)

    Controllable:No

    Description:The list of blocks (ids or names) that this object will be applied

  • boundaryThe list of boundaries (ids or names) from the mesh where this object applies

    C++ Type:std::vector<BoundaryName>

    Unit:(no unit assumed)

    Controllable:No

    Description:The list of boundaries (ids or names) from the mesh where this object applies

  • computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.

    Default:True

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:No

    Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.

  • constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped

    Default:NONE

    C++ Type:MooseEnum

    Unit:(no unit assumed)

    Options:NONE, ELEMENT, SUBDOMAIN

    Controllable:No

    Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped

  • cpcpFluid isobaric specific heat capacity material property

    Default:cp

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Fluid isobaric specific heat capacity material property

  • declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.

  • gas_heating_correction_exponent0Exponent for the ratio of bulk fluid temperature to wall temperature for the Nusselt number correction factor when heating a gas

    Default:0

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Exponent for the ratio of bulk fluid temperature to wall temperature for the Nusselt number correction factor when heating a gas

  • htc_wallHwName to give the heat transfer coefficient material property

    Default:Hw

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Name to give the heat transfer coefficient material property

  • kkFluid thermal conductivity material property

    Default:k

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Fluid thermal conductivity material property

  • mumuFluid dynamic viscosity material property

    Default:mu

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Fluid dynamic viscosity material property

  • ppFluid pressure material property

    Default:p

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Fluid pressure material property

  • prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.

  • rhorhoFluid density material property

    Default:rho

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Fluid density material property

  • use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

    Default:False

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:No

    Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

  • velvelFluid velocity material property

    Default:vel

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:Fluid velocity material property

Optional Parameters

  • control_tagsAdds user-defined labels for accessing object parameters via control logic.

    C++ Type:std::vector<std::string>

    Unit:(no unit assumed)

    Controllable:No

    Description:Adds user-defined labels for accessing object parameters via control logic.

  • enableTrueSet the enabled status of the MooseObject.

    Default:True

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:Yes

    Description:Set the enabled status of the MooseObject.

  • implicitTrueDetermines whether this object is calculated using an implicit or explicit form

    Default:True

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:No

    Description:Determines whether this object is calculated using an implicit or explicit form

  • seed0The seed for the master random number generator

    Default:0

    C++ Type:unsigned int

    Unit:(no unit assumed)

    Controllable:No

    Description:The seed for the master random number generator

  • use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

    Default:False

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:No

    Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

  • output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)

    C++ Type:std::vector<std::string>

    Unit:(no unit assumed)

    Controllable:No

    Description:List of material properties, from this material, to output (outputs must also be defined to an output type)

  • outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object

    Default:none

    C++ Type:std::vector<OutputName>

    Unit:(no unit assumed)

    Controllable:No

    Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object

Outputs Parameters

References

  1. Volker Gnielinski. Heat transfer coefficients for turbulent flow in concentric annular ducts. Heat Transfer Engineering, pages 431–436, 2010. doi:10.1080/01457630802528661.[BibTeX]