diff --git a/src/adjoint/Make/files_Incompressible b/src/adjoint/Make/files_Incompressible
index 18b93b41..f2916074 100755
--- a/src/adjoint/Make/files_Incompressible
+++ b/src/adjoint/Make/files_Incompressible
@@ -107,6 +107,7 @@ boundaryConditions/multiFreqVector/multiFreqVectorFvPatchField.C
 boundaryConditions/nutUSpaldingWallFunctionDF/nutUSpaldingWallFunctionFvPatchScalarFieldDF.C
 boundaryConditions/varyingVelocity/varyingVelocityFvPatchVectorField.C
 boundaryConditions/varyingVelocityInletOutlet/varyingVelocityInletOutletFvPatchVectorField.C
+boundaryConditions/alphatWallFunctionIncomp/alphatWallFunctionIncompFvPatchScalarField.C
 models/dummyTurbulenceModel/makeDummyTurbulenceModelIncompressible.C
 models/SpalartAllmarasFv3/makeSpalartAllmarasFv3Incompressible.C
 models/SpalartAllmarasFv3FieldInversion/makeSpalartAllmarasFv3FieldInversionIncompressible.C
diff --git a/src/adjoint/boundaryConditions/alphatWallFunctionIncomp/alphatWallFunctionIncompFvPatchScalarField.C b/src/adjoint/boundaryConditions/alphatWallFunctionIncomp/alphatWallFunctionIncompFvPatchScalarField.C
new file mode 100755
index 00000000..58f0eedb
--- /dev/null
+++ b/src/adjoint/boundaryConditions/alphatWallFunctionIncomp/alphatWallFunctionIncompFvPatchScalarField.C
@@ -0,0 +1,157 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2016 OpenFOAM Foundation
+     \\/     M anipulation  | Copyright (C) 2017 OpenCFD Ltd
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+\*---------------------------------------------------------------------------*/
+
+#include "alphatWallFunctionIncompFvPatchScalarField.H"
+#include "fvPatchFieldMapper.H"
+#include "volFields.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace incompressible
+{
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+alphatWallFunctionIncompressibleFvPatchScalarField::
+alphatWallFunctionIncompressibleFvPatchScalarField
+(
+    const fvPatch& p,
+    const DimensionedField<scalar, volMesh>& iF
+)
+:
+    fixedValueFvPatchScalarField(p, iF),
+    Prt_(0.85)
+{
+}
+
+
+alphatWallFunctionIncompressibleFvPatchScalarField::
+alphatWallFunctionIncompressibleFvPatchScalarField
+(
+    const alphatWallFunctionIncompressibleFvPatchScalarField& ptf,
+    const fvPatch& p,
+    const DimensionedField<scalar, volMesh>& iF,
+    const fvPatchFieldMapper& mapper
+)
+:
+    fixedValueFvPatchScalarField(ptf, p, iF, mapper),
+    Prt_(ptf.Prt_)
+{
+}
+
+
+alphatWallFunctionIncompressibleFvPatchScalarField::
+alphatWallFunctionIncompressibleFvPatchScalarField
+(
+    const fvPatch& p,
+    const DimensionedField<scalar, volMesh>& iF,
+    const dictionary& dict
+)
+:
+    fixedValueFvPatchScalarField(p, iF, dict),
+    Prt_(dict.get<scalar>("Prt")) // force read to avoid ambiguity
+{
+}
+
+
+alphatWallFunctionIncompressibleFvPatchScalarField::
+alphatWallFunctionIncompressibleFvPatchScalarField
+(
+    const alphatWallFunctionIncompressibleFvPatchScalarField& wfpsf
+)
+:
+    fixedValueFvPatchScalarField(wfpsf),
+    Prt_(wfpsf.Prt_)
+{
+}
+
+
+alphatWallFunctionIncompressibleFvPatchScalarField::
+alphatWallFunctionIncompressibleFvPatchScalarField
+(
+    const alphatWallFunctionIncompressibleFvPatchScalarField& wfpsf,
+    const DimensionedField<scalar, volMesh>& iF
+)
+:
+    fixedValueFvPatchScalarField(wfpsf, iF),
+    Prt_(wfpsf.Prt_)
+{
+}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+void alphatWallFunctionIncompressibleFvPatchScalarField::updateCoeffs()
+{
+    if (updated())
+    {
+        return;
+    }
+
+    const label patchi = patch().index();
+
+    // Retrieve turbulence properties from model
+
+    const turbulenceModel& turbModel = db().lookupObject<turbulenceModel>
+    (
+        IOobject::groupName
+        (
+            turbulenceModel::propertiesName,
+            internalField().group()
+        )
+    );
+
+    const tmp<scalarField> tnutw = turbModel.nut(patchi);
+
+    operator==(tnutw/Prt_);
+
+    fixedValueFvPatchField<scalar>::updateCoeffs();
+}
+
+
+void alphatWallFunctionIncompressibleFvPatchScalarField::write(Ostream& os) const
+{
+    fvPatchField<scalar>::write(os);
+    os.writeEntry("Prt", Prt_);
+    writeEntry("value", os);
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+makePatchTypeField
+(
+    fvPatchScalarField,
+    alphatWallFunctionIncompressibleFvPatchScalarField
+);
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace incompressible
+} // End namespace Foam
+
+// ************************************************************************* //
diff --git a/src/adjoint/boundaryConditions/alphatWallFunctionIncomp/alphatWallFunctionIncompFvPatchScalarField.H b/src/adjoint/boundaryConditions/alphatWallFunctionIncomp/alphatWallFunctionIncompFvPatchScalarField.H
new file mode 100755
index 00000000..1793415c
--- /dev/null
+++ b/src/adjoint/boundaryConditions/alphatWallFunctionIncomp/alphatWallFunctionIncompFvPatchScalarField.H
@@ -0,0 +1,162 @@
+/*---------------------------------------------------------------------------*\
+
+    DAFoam  : Discrete Adjoint with OpenFOAM
+    Version : v3
+
+    This file is modified from OpenFOAM's source code
+    src/TurbulenceModels/compressible/turbulentFluidThermoModels/derivedFvPatchFields/
+    wallFunctions/alphatWallFunctionIncompressibles/alphatWallFunctionIncompressible
+
+    The turbulent thermal diffusivity calculated using:
+
+        \f[
+            \alpha_t = \frac{\nu_t}{Pr_t}
+        \f]
+
+    OpenFOAM: The Open Source CFD Toolbox
+
+    Copyright (C): 2011-2016 OpenFOAM Foundation
+
+    OpenFOAM License:
+
+        OpenFOAM is free software: you can redistribute it and/or modify it
+        under the terms of the GNU General Public License as published by
+        the Free Software Foundation, either version 3 of the License, or
+        (at your option) any later version.
+    
+        OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+        ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+        FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+        for more details.
+    
+        You should have received a copy of the GNU General Public License
+        along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+    Description:
+        Fixed traction boundary condition for the standard linear elastic, 
+        fixed coefficient displacement equation.
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef alphatWallFunctionIncompressibleFvPatchScalarField_H
+#define alphatWallFunctionIncompressibleFvPatchScalarField_H
+
+#include "fixedValueFvPatchFields.H"
+#include "turbulenceModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace incompressible
+{
+
+/*---------------------------------------------------------------------------*\
+       Class alphatWallFunctionIncompressibleFvPatchScalarField Declaration
+\*---------------------------------------------------------------------------*/
+
+class alphatWallFunctionIncompressibleFvPatchScalarField
+:
+    public fixedValueFvPatchScalarField
+{
+protected:
+
+    // Protected data
+
+        //- Turbulent Prandtl number
+        scalar Prt_;
+
+public:
+
+    //- Runtime type information
+    TypeName("incompressible::alphatWallFunction");
+
+
+    // Constructors
+
+        //- Construct from patch and internal field
+        alphatWallFunctionIncompressibleFvPatchScalarField
+        (
+            const fvPatch&,
+            const DimensionedField<scalar, volMesh>&
+        );
+
+        //- Construct from patch, internal field and dictionary
+        alphatWallFunctionIncompressibleFvPatchScalarField
+        (
+            const fvPatch&,
+            const DimensionedField<scalar, volMesh>&,
+            const dictionary&
+        );
+
+        //- Construct by mapping given
+        //  alphatWallFunctionIncompressibleFvPatchScalarField
+        //  onto a new patch
+        alphatWallFunctionIncompressibleFvPatchScalarField
+        (
+            const alphatWallFunctionIncompressibleFvPatchScalarField&,
+            const fvPatch&,
+            const DimensionedField<scalar, volMesh>&,
+            const fvPatchFieldMapper&
+        );
+
+        //- Construct as copy
+        alphatWallFunctionIncompressibleFvPatchScalarField
+        (
+            const alphatWallFunctionIncompressibleFvPatchScalarField&
+        );
+
+        //- Construct and return a clone
+        virtual tmp<fvPatchScalarField> clone() const
+        {
+            return tmp<fvPatchScalarField>
+            (
+                new alphatWallFunctionIncompressibleFvPatchScalarField(*this)
+            );
+        }
+
+        //- Construct as copy setting internal field reference
+        alphatWallFunctionIncompressibleFvPatchScalarField
+        (
+            const alphatWallFunctionIncompressibleFvPatchScalarField&,
+            const DimensionedField<scalar, volMesh>&
+        );
+
+        //- Construct and return a clone setting internal field reference
+        virtual tmp<fvPatchScalarField> clone
+        (
+            const DimensionedField<scalar, volMesh>& iF
+        ) const
+        {
+            return tmp<fvPatchScalarField>
+            (
+                new alphatWallFunctionIncompressibleFvPatchScalarField(*this, iF)
+            );
+        }
+
+
+    // Member functions
+
+        // Evaluation functions
+
+            //- Update the coefficients associated with the patch field
+            virtual void updateCoeffs();
+
+
+        // I-O
+
+            //- Write
+            virtual void write(Ostream&) const;
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace incompressible
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //